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Prealgebra

Lynn Marecek, MaryAnne Anthony-Smith, Andrea Honeycutt Mathis

Chapter 2

The Language of Algebra - all with Video Answers

Educators

Chapter Questions

00:37

Problem 1

In the following exercises, translate from algebraic notation to words.

$16-9$

Julie Silva
Julie Silva
Numerade Educator
00:59

Problem 2

In the following exercises, translate from algebraic notation to words.

$25-7$

Julie Silva
Julie Silva
Numerade Educator
00:51

Problem 3

In the following exercises, translate from algebraic notation to words.

$5 \cdot 6$

Julie Silva
Julie Silva
Numerade Educator
00:49

Problem 4

In the following exercises, translate from algebraic notation to words.

$3 \cdot 9$

Julie Silva
Julie Silva
Numerade Educator
00:56

Problem 5

In the following exercises, translate from algebraic notation to words.

$28 \div 4$

Julie Silva
Julie Silva
Numerade Educator
00:51

Problem 6

In the following exercises, translate from algebraic notation to words.

$45 \div 5$

Julie Silva
Julie Silva
Numerade Educator
00:40

Problem 7

In the following exercises, translate from algebraic notation to words.

$x+8$

Karly Williams
Karly Williams
Numerade Educator
01:02

Problem 8

In the following exercises, translate from algebraic notation to words.

$x+11$

Julie Silva
Julie Silva
Numerade Educator
01:01

Problem 9

In the following exercises, translate from algebraic notation to words.

(2)(7)

Julie Silva
Julie Silva
Numerade Educator
00:38

Problem 10

In the following exercises, translate from algebraic notation to words.

(4)(8)

Karly Williams
Karly Williams
Numerade Educator
01:02

Problem 11

In the following exercises, translate from algebraic notation to words.

$14<21$

Julie Silva
Julie Silva
Numerade Educator
01:04

Problem 12

In the following exercises, translate from algebraic notation to words.

$17<35$

Julie Silva
Julie Silva
Numerade Educator
00:54

Problem 13

In the following exercises, translate from algebraic notation to words.

$36 \geq 19$

Karly Williams
Karly Williams
Numerade Educator
01:10

Problem 14

In the following exercises, translate from algebraic notation to words.

$42 \geq 27$

Julie Silva
Julie Silva
Numerade Educator
00:32

Problem 15

In the following exercises, translate from algebraic notation to words.

$3 n=24$

Julie Silva
Julie Silva
Numerade Educator
01:03

Problem 16

In the following exercises, translate from algebraic notation to words.

$6 n=36$

Julie Silva
Julie Silva
Numerade Educator
01:03

Problem 17

In the following exercises, translate from algebraic notation to words.

$y-1>6$

Julie Silva
Julie Silva
Numerade Educator
01:04

Problem 18

In the following exercises, translate from algebraic notation to words.

$y-4>8$

Julie Silva
Julie Silva
Numerade Educator
01:20

Problem 19

In the following exercises, translate from algebraic notation to words.

$2 \leq 18 \div 6$

Karly Williams
Karly Williams
Numerade Educator
00:59

Problem 20

In the following exercises, translate from algebraic notation to words.

$3 \leq 20 \div 4$

Julie Silva
Julie Silva
Numerade Educator
00:59

Problem 21

In the following exercises, translate from algebraic notation to words.

$a \neq 7 \cdot 4$

Karly Williams
Karly Williams
Numerade Educator
01:03

Problem 22

In the following exercises, translate from algebraic notation to words.

$a \neq 1 \cdot 12$

Karly Williams
Karly Williams
Numerade Educator
01:04

Problem 23

In the following exercises, determine if each is an expression or an equation.

$9 \cdot 6=54$

Julie Silva
Julie Silva
Numerade Educator
01:01

Problem 24

In the following exercises, determine if each is an expression or an equation.

$7 \cdot 9=63$

Julie Silva
Julie Silva
Numerade Educator
01:02

Problem 25

In the following exercises, determine if each is an expression or an equation.

$5 \cdot 4+3$

Julie Silva
Julie Silva
Numerade Educator
01:02

Problem 26

In the following exercises, determine if each is an expression or an equation.

$6 \cdot 3+5$

Julie Silva
Julie Silva
Numerade Educator
01:04

Problem 27

In the following exercises, determine if each is an expression or an equation.

$x+7$

Julie Silva
Julie Silva
Numerade Educator
01:04

Problem 28

In the following exercises, determine if each is an expression or an equation.

$x+9$

Julie Silva
Julie Silva
Numerade Educator
01:03

Problem 29

In the following exercises, determine if each is an expression or an equation.

$y-5=25$

Julie Silva
Julie Silva
Numerade Educator
00:41

Problem 30

In the following exercises, determine if each is an expression or an equation.

$y-8=32$

Karly Williams
Karly Williams
Numerade Educator
00:39

Problem 31

In the following exercises, write in exponential form.

$3 \cdot 3 \cdot 3 \cdot 3 \cdot 3 \cdot 3 \cdot 3$

Jeff Harris
Jeff Harris
Numerade Educator
01:07

Problem 32

In the following exercises, write in exponential form.

$4 \cdot 4 \cdot 4 \cdot 4 \cdot 4 \cdot 4$

Karly Williams
Karly Williams
Numerade Educator
00:22

Problem 33

In the following exercises, write in exponential form.

$x \cdot x \cdot x \cdot x \cdot x$

Julie Silva
Julie Silva
Numerade Educator
00:44

Problem 34

In the following exercises, write in exponential form.

$y \cdot y \cdot y \cdot y \cdot y \cdot y$

Karly Williams
Karly Williams
Numerade Educator
00:21

Problem 35

In the following exercises, write in expanded form.

$5^3$

Julie Silva
Julie Silva
Numerade Educator
00:19

Problem 36

In the following exercises, write in expanded form.

$8^3$

Julie Silva
Julie Silva
Numerade Educator
00:19

Problem 37

In the following exercises, write in expanded form.

$2^8$

Julie Silva
Julie Silva
Numerade Educator
00:21

Problem 38

In the following exercises, write in expanded form.

$10^5$

Julie Silva
Julie Silva
Numerade Educator
00:21

Problem 39

In the following exercises, simplify.

(a) $3+8 \cdot 5$

Elizabeth Xu
Elizabeth Xu
Numerade Educator
02:31

Problem 40

In the following exercises, simplify.

(a) $2+6 \cdot 3$

Chris Wojturski
Chris Wojturski
Numerade Educator
03:42

Problem 41

In the following exercises, simplify.

$2^3-12 \div(9-5)$
(b) $(2+6) \cdot 3$

Luke P
Luke P
Numerade Educator
View

Problem 42

In the following exercises, simplify.

$3^2-18 \div(11-5)$

Emily Himsel
Emily Himsel
Numerade Educator
01:23

Problem 43

In the following exercises, simplify.

$3 \cdot 8+5 \cdot 2$

Daniel Carr
Daniel Carr
Numerade Educator
00:37

Problem 44

In the following exercises, simplify.

$4 \cdot 7+3 \cdot 5$

David Barker
David Barker
Numerade Educator
View

Problem 45

In the following exercises, simplify.

$2+8(6+1)$

Emily Himsel
Emily Himsel
Numerade Educator
View

Problem 46

In the following exercises, simplify.

$4+6(3+6)$

Emily Himsel
Emily Himsel
Numerade Educator
01:02

Problem 47

In the following exercises, simplify.

$4 \cdot 12 / 8$

Julie Silva
Julie Silva
Numerade Educator
01:04

Problem 48

In the following exercises, simplify.

$2 \cdot 36 / 6$

Julie Silva
Julie Silva
Numerade Educator
01:04

Problem 49

In the following exercises, simplify.

$6+10 / 2+2$

Julie Silva
Julie Silva
Numerade Educator
01:12

Problem 50

In the following exercises, simplify.

$9+12 / 3+4$

Charles Carter
Charles Carter
Numerade Educator
01:04

Problem 51

In the following exercises, simplify.

$(6+10) \div(2+2)$

Julie Silva
Julie Silva
Numerade Educator
01:12

Problem 52

In the following exercises, simplify.

$(9+12) \div(3+4)$

Charles Carter
Charles Carter
Numerade Educator
View

Problem 53

In the following exercises, simplify.

$20 \div 4+6 \cdot 5$

Emily Himsel
Emily Himsel
Numerade Educator
01:05

Problem 54

In the following exercises, simplify.

$33 \div 3+8 \cdot 2$

Julie Silva
Julie Silva
Numerade Educator
View

Problem 55

In the following exercises, simplify.

$20 \div(4+6) \cdot 5$

Emily Himsel
Emily Himsel
Numerade Educator
01:05

Problem 56

In the following exercises, simplify.

$33 \div(3+8) \cdot 2$

Julie Silva
Julie Silva
Numerade Educator
01:02

Problem 57

In the following exercises, simplify.

$4^2+5^2$

Julie Silva
Julie Silva
Numerade Educator
01:02

Problem 58

In the following exercises, simplify.

$3^2+7^2$

Caleb Fink
Caleb Fink
Numerade Educator
00:32

Problem 59

In the following exercises, simplify.

$(4+5)^2$

K B
K B
Numerade Educator
00:38

Problem 60

In the following exercises, simplify.

$(3+7)^2$

Ashton Collins
Ashton Collins
Numerade Educator
View

Problem 61

In the following exercises, simplify.

$3(1+9 \cdot 6)-4^2$

Emily Himsel
Emily Himsel
Numerade Educator
View

Problem 62

In the following exercises, simplify.

$5(2+8 \cdot 4)-7^2$

Emily Himsel
Emily Himsel
Numerade Educator
View

Problem 63

In the following exercises, simplify.

$2[1+3(10-2)]$

Emily Himsel
Emily Himsel
Numerade Educator
View

Problem 64

In the following exercises, simplify.

$5[2+4(3-2)]$

Emily Himsel
Emily Himsel
Numerade Educator
01:02

Problem 69

In the following exercises, evaluate the expression for the given value.
$7 x+8$ when $x=2$

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
01:10

Problem 70

In the following exercises, evaluate the expression for the given value.
$9 x+7$ when $x=3$

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
01:00

Problem 71

In the following exercises, evaluate the expression for the given value.
$5 x-4$ when $x=6$

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
00:57

Problem 72

In the following exercises, evaluate the expression for the given value.
$8 x-6$ when $x=7$

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
00:49

Problem 73

In the following exercises, evaluate the expression for the given value.
$x^2$ when $x=12$

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
00:50

Problem 74

In the following exercises, evaluate the expression for the given value.
$x^3$ when $x=5$

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
01:16

Problem 75

In the following exercises, evaluate the expression for the given value.
$x^5$ when $x=2$

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
00:57

Problem 76

In the following exercises, evaluate the expression for the given value.
$x^4$ when $x=3$

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
00:51

Problem 77

In the following exercises, evaluate the expression for the given value.
. $3^x$ when $x=3$

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
00:39

Problem 78

In the following exercises, evaluate the expression for the given value.
$4^x$ when $x=2$

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
01:03

Problem 79

In the following exercises, evaluate the expression for the given value.
$x^2+3 x-7$ when $x=4$

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
01:24

Problem 80

In the following exercises, evaluate the expression for the given value.
$x^2+5 x-8$ when $x=6$

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
01:41

Problem 81

In the following exercises, evaluate the expression for the given value.
$2 x+4 y-5$ when $x=7, y=8$

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
01:28

Problem 82

In the following exercises, evaluate the expression for the given value.
$6 x+3 y-9$ when $x=6, y=9$

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
01:04

Problem 83

In the following exercises, evaluate the expression for the given value.
$(x-y)^2$ when $x=10, y=7$

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
01:02

Problem 84

In the following exercises, evaluate the expression for the given value.
. $(x+y)^2$ when $x=6, y=9$

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
01:07

Problem 85

In the following exercises, evaluate the expression for the given value.
$a^2+b^2$ when $a=3, b=8$

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
01:17

Problem 86

In the following exercises, evaluate the expression for the given value.
$r^2-s^2$ when $r=12, s=5$

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
00:59

Problem 87

In the following exercises, evaluate the expression for the given value.
. $2 l+2 w$ when $l=15, w=12$

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
01:11

Problem 88

In the following exercises, evaluate the expression for the given value.
$2 l+2 w$ when $l=18, w=14$

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
00:57

Problem 89

In the following exercises, list the terms in the given expression.
$15 x^2+6 x+2$

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
00:56

Problem 90

In the following exercises, list the terms in the given expression.
$11 x^2+8 x+5$

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
00:55

Problem 91

In the following exercises, list the terms in the given expression.
$10 y^3+y+2$

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
00:54

Problem 92

In the following exercises, list the terms in the given expression.
$9 y^3+y+5$

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
00:38

Problem 93

In the following exercises, identify the coefficient of the given term.
$8 a$

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
00:35

Problem 94

In the following exercises, identify the coefficient of the given term.
$13 \mathrm{~m}$

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
00:50

Problem 95

In the following exercises, identify the coefficient of the given term.
$5 r^2$

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
00:48

Problem 96

In the following exercises, identify the coefficient of the given term.
$6 x^3$

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
02:51

Problem 97

In the following exercises, identify all sets of like terms.
$x^3, 8 x, 14,8 y, 5,8 x^3$

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
01:54

Problem 98

In the following exercises, identify all sets of like terms.
$6 z, 3 w^2, 1,6 z^2, 4 z, w^2$

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
02:32

Problem 99

In the following exercises, identify all sets of like terms.
$9 a, a^2, 16 a b, 16 b^2, 4 a b, 9 b^2$

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
02:05

Problem 100

In the following exercises, identify all sets of like terms.
$3,25 r^2, 10 s, 10 r, 4 r^2, 3 s$

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
00:48

Problem 101

In the following exercises, simplify the given expression by combining like terms.
$10 x+3 x$

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
01:04

Problem 102

In the following exercises, simplify the given expression by combining like terms.
$15 x+4 x$

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
01:29

Problem 103

In the following exercises, simplify the given expression by combining like terms.
$17 a+9 a$

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
00:30

Problem 103

In the following exercises, solve each equation.
$z+52=85$

Julie Silva
Julie Silva
Numerade Educator
01:30

Problem 104

In the following exercises, simplify the given expression by combining like terms.
$18 z+9 z$

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
01:40

Problem 105

In the following exercises, simplify the given expression by combining like terms.
$4 c+2 c+c$

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
01:18

Problem 106

In the following exercises, simplify the given expression by combining like terms.
$6 y+4 y+y$

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
01:09

Problem 107

In the following exercises, simplify the given expression by combining like terms.
$9 x+3 x+8$

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
01:00

Problem 108

In the following exercises, simplify the given expression by combining like terms.
$8 a+5 a+9$

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
01:03

Problem 109

In the following exercises, simplify the given expression by combining like terms.
$7 u+2+3 u+1$

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
00:51

Problem 110

In the following exercises, simplify the given expression by combining like terms.
$8 d+6+2 d+5$

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
00:51

Problem 111

In the following exercises, simplify the given expression by combining like terms.
$7 p+6+5 p+4$

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
00:42

Problem 112

In the following exercises, simplify the given expression by combining like terms.
$8 x+7+4 x-5$

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
01:34

Problem 113

In the following exercises, simplify the given expression by combining like terms.
$10 a+7+5 a-2+7 a-4$

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
01:16

Problem 114

In the following exercises, simplify the given expression by combining like terms.
$7 c+4+6 c-3+9 c-1$

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
01:53

Problem 115

In the following exercises, simplify the given expression by combining like terms.
$3 x^2+12 x+11+14 x^2+8 x+5$

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
01:33

Problem 116

In the following exercises, simplify the given expression by combining like terms.
$5 b^2+9 b+10+2 b^2+3 b-4$

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
01:01

Problem 117

In the following exercises, translate the given word phrase into an algebraic expression.
The sum of 8 and 12

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
00:48

Problem 118

In the following exercises, translate the given word phrase into an algebraic expression.
The sum of 9 and 1

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
00:57

Problem 119

In the following exercises, translate the given word phrase into an algebraic expression.
The difference of 14 and 9

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
01:01

Problem 120

In the following exercises, translate the given word phrase into an algebraic expression.
8 less than 19

Julie Silva
Julie Silva
Numerade Educator
00:57

Problem 121

In the following exercises, translate the given word phrase into an algebraic expression.
The product of 9 and 7

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
00:42

Problem 122

In the following exercises, translate the given word phrase into an algebraic expression.
The product of 8 and 7

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
00:51

Problem 123

In the following exercises, translate the given word phrase into an algebraic expression.
The quotient of 36 and 9

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
01:00

Problem 124

In the following exercises, translate the given word phrase into an algebraic expression.
The quotient of 42 and 7

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
01:01

Problem 125

In the following exercises, translate the given word phrase into an algebraic expression.
The difference of $x$ and 4

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
01:16

Problem 126

In the following exercises, translate the given word phrase into an algebraic expression.
3 less than $x$

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
00:17

Problem 127

In the following exercises, translate the given word phrase into an algebraic expression.
The product of 6 and $y$

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
00:15

Problem 128

In the following exercises, translate the given word phrase into an algebraic expression.
The product of 9 and $y$

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
00:34

Problem 129

In the following exercises, translate the given word phrase into an algebraic expression.
The sum of $8 x$ and $3 x$

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
00:24

Problem 130

In the following exercises, translate the given word phrase into an algebraic expression.
The sum of $13 x$ and $3 x$

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
00:36

Problem 131

In the following exercises, translate the given word phrase into an algebraic expression.
The quotient of $y$ and 3

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
00:25

Problem 132

In the following exercises, translate the given word phrase into an algebraic expression.
The quotient of $y$ and 8

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
01:03

Problem 133

In the following exercises, translate the given word phrase into an algebraic expression.
Eight times the difference

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
00:35

Problem 134

In the following exercises, translate the given word phrase into an algebraic expression.
Seven times the of $y$ and nine difference of $y$ and one

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
00:32

Problem 135

In the following exercises, translate the given word phrase into an algebraic expression.
Five times the sum of $x$

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
01:16

Problem 136

In the following exercises, translate the given word phrase into an algebraic expression.
Nine times five less than and $y$ twice $x$

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
01:18

Problem 137

In the following exercises, write an algebraic expression.
Adele bought a skirt and a blouse. The skirt cost $$\$15$$ more than the blouse. Let $b$ represent the cost of the blouse. Write an expression for the cost of the skirt.

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
00:51

Problem 138

In the following exercises, write an algebraic expression.
Eric has rock and classical CDs in his car. The number of rock $C D 5$ is 3 more than the number of classical CDs. Let $c$ represent the number of classical CDs. Write an expression for the number of rock CDs.

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
00:39

Problem 139

In the following exercises, write an algebraic expression.
The number of girls in a second-grade class is 4 less than the number of boys. Let $b$ represent the number of boys. Write an expression for the number of girls.

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
01:20

Problem 143

In the following exercises, use algebraic expressions to solve the problem.
Car insurance Justin's car insurance has a $$\$ 750$$ deductible per incident. This means that he pays $$\$ 750$$ and his insurance company will pay all costs beyond $$\$ 750$$. If Justin files a claim for $$\$ 2,100$$, how much will he pay, and how much will his insurance company pay?

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
00:57

Problem 144

In the following exercises, use algebraic expressions to solve the problem.
Home insurance Pam and Armando's home insurance has a $$\$ 2,500$$ deductible per incident. This means that they pay $$\$ 2,500$$ and their insurance company will pay all costs beyond $$\$ 2,500$$. If Pam and Armando file a claim for $$\$ 19,400$$, how much will they pay, and how much will their insurance company pay?

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
01:13

Problem 145

Explain why "the sum of $x$ and $y^{\prime \prime}$ is the same as "the sum of $y$ and $x$," but "the difference of $x$ and $y$ " is not the same as "the difference of $y$ and $x . "$ Try substituting two random numbers for $x$ and $y$ to help you explain.

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
01:46

Problem 146

Explain the difference between " 4 times the sum of $x$ and $y$ " and "the sum of 4 times $x$ and $y . "$

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
00:56

Problem 147

In the following exercises, determine whether each given value is a solution to the equation.
$x+13=21$
(a) $x=8$
(b) $x=34$

Geno Ellis
Geno Ellis
Numerade Educator
00:51

Problem 148

In the following exercises, determine whether each given value is a solution to the equation.
$y+18=25$
(a) $y=7$
(b) $y=43$

Geno Ellis
Geno Ellis
Numerade Educator
00:42

Problem 149

In the following exercises, determine whether each given value is a solution to the equation.
$m-4=13$
(a) $m=9$
(b) $m=17$

Geno Ellis
Geno Ellis
Numerade Educator
00:44

Problem 150

In the following exercises, determine whether each given value is a solution to the equation.
$n-9=6$
(a) $n=3$
(b) $n=15$

Geno Ellis
Geno Ellis
Numerade Educator
00:58

Problem 151

In the following exercises, determine whether each given value is a solution to the equation.
$3 p+6=15$
(a) $p=3$
(b) $p=7$

Geno Ellis
Geno Ellis
Numerade Educator
00:51

Problem 152

In the following exercises, determine whether each given value is a solution to the equation.
$8 q+4=20$
(a) $q=2$
(b) $q=3$

Geno Ellis
Geno Ellis
Numerade Educator
00:54

Problem 153

In the following exercises, determine whether each given value is a solution to the equation.
. $18 d-9=27$
(a) $d=1$
(b) $d=2$

Geno Ellis
Geno Ellis
Numerade Educator
01:01

Problem 154

In the following exercises, determine whether each given value is a solution to the equation.
$24 f-12=60$
(a) $f=2$ (b) $f=3$

Geno Ellis
Geno Ellis
Numerade Educator
01:37

Problem 155

In the following exercises, determine whether each given value is a solution to the equation.
$8 u-4=4 u+40$
(a) $u=3$
(b) $u=11$

Geno Ellis
Geno Ellis
Numerade Educator
03:14

Problem 156

In the following exercises, determine whether each given value is a solution to the equation.
$7 v-3=4 v+36$
(a) $v=3$
(b) $v=11$

Geno Ellis
Geno Ellis
Numerade Educator
01:45

Problem 157

In the following exercises, determine whether each given value is a solution to the equation.
$20 h-5=15 h+35$
(a) $h=6$
(b) $h=8$

Geno Ellis
Geno Ellis
Numerade Educator
01:19

Problem 158

In the following exercises, determine whether each given value is a solution to the equation.
$18 k-3=12 k+33$
(a) $k=1$
(b) $k=6$

Maranda Parks
Maranda Parks
Numerade Educator
00:48

Problem 159

In the following exercises, write the equation modeled by the envelopes and counters and then solve using the subtraction property of equality.
(IMAGE CANT COPY)

Geno Ellis
Geno Ellis
Numerade Educator
00:48

Problem 160

In the following exercises, write the equation modeled by the envelopes and counters and then solve using the subtraction property of equality.
.(IMAGE CANT COPY)

Geno Ellis
Geno Ellis
Numerade Educator
00:48

Problem 161

In the following exercises, write the equation modeled by the envelopes and counters and then solve using the subtraction property of equality.
(IMAGE CANT COPY)

Geno Ellis
Geno Ellis
Numerade Educator
00:48

Problem 162

In the following exercises, write the equation modeled by the envelopes and counters and then solve using the subtraction property of equality.
(IMAGE CANT COPY)

Geno Ellis
Geno Ellis
Numerade Educator
00:22

Problem 163

In the following exercises, solve each equation using the subtraction property of equality.
$a+2=18$

Geno Ellis
Geno Ellis
Numerade Educator
00:21

Problem 164

In the following exercises, solve each equation using the subtraction property of equality.
$b+5=13$

Geno Ellis
Geno Ellis
Numerade Educator
00:24

Problem 165

In the following exercises, solve each equation using the subtraction property of equality.
$p+18=23$

Geno Ellis
Geno Ellis
Numerade Educator
00:24

Problem 166

In the following exercises, solve each equation using the subtraction property of equality.
$q+14=31$

Geno Ellis
Geno Ellis
Numerade Educator
00:27

Problem 167

In the following exercises, solve each equation using the subtraction property of equality.
$r+76=100$

Geno Ellis
Geno Ellis
Numerade Educator
00:28

Problem 168

In the following exercises, solve each equation using the subtraction property of equality.
$s+62=95$

Geno Ellis
Geno Ellis
Numerade Educator
00:30

Problem 169

In the following exercises, solve each equation using the subtraction property of equality.
$16=x+9$

Geno Ellis
Geno Ellis
Numerade Educator
00:34

Problem 170

In the following exercises, solve each equation using the subtraction property of equality.
$17=y+6$

Geno Ellis
Geno Ellis
Numerade Educator
00:42

Problem 171

In the following exercises, solve each equation using the subtraction property of equality.
$93=p+24$

Geno Ellis
Geno Ellis
Numerade Educator
00:35

Problem 172

In the following exercises, solve each equation using the subtraction property of equality.
$116=q+79$

Geno Ellis
Geno Ellis
Numerade Educator
00:53

Problem 173

In the following exercises, solve each equation using the subtraction property of equality.
$465=d+398$

Geno Ellis
Geno Ellis
Numerade Educator
00:51

Problem 174

In the following exercises, solve each equation using the subtraction property of equality.
$932=c+641$

Geno Ellis
Geno Ellis
Numerade Educator
00:31

Problem 175

In the following exercises, solve each equation using the addition property of equality.
$y-3=19$

Geno Ellis
Geno Ellis
Numerade Educator
00:33

Problem 176

In the following exercises, solve each equation using the addition property of equality.
$x-4=12$

Geno Ellis
Geno Ellis
Numerade Educator
00:29

Problem 177

In the following exercises, solve each equation using the addition property of equality.
$u-6=24$

Geno Ellis
Geno Ellis
Numerade Educator
00:30

Problem 178

In the following exercises, solve each equation using the addition property of equality.
$v-7=35$

Geno Ellis
Geno Ellis
Numerade Educator
00:30

Problem 178

In the following exercises, solve each equation using the addition property of equality
$v-7=35$

Geno Ellis
Geno Ellis
Numerade Educator
00:36

Problem 179

In the following exercises, solve each equation using the addition property of equality
$f-55=123$

Geno Ellis
Geno Ellis
Numerade Educator
00:42

Problem 180

In the following exercises, solve each equation using the addition property of equality
$g-39=117$

Geno Ellis
Geno Ellis
Numerade Educator
00:38

Problem 181

In the following exercises, solve each equation using the addition property of equality
$19=n-13$

Geno Ellis
Geno Ellis
Numerade Educator
00:37

Problem 182

In the following exercises, solve each equation using the addition property of equality
. $18=m-15$

Geno Ellis
Geno Ellis
Numerade Educator
00:39

Problem 183

In the following exercises, solve each equation using the addition property of equality
$10=p-38$

Geno Ellis
Geno Ellis
Numerade Educator
00:39

Problem 184

In the following exercises, solve each equation using the addition property of equality
$18=q-72$

Geno Ellis
Geno Ellis
Numerade Educator
00:53

Problem 185

In the following exercises, solve each equation using the addition property of equality
$268=y-199$

Geno Ellis
Geno Ellis
Numerade Educator
00:56

Problem 186

In the following exercises, solve each equation using the addition property of equality
$204=z-149$

Geno Ellis
Geno Ellis
Numerade Educator
00:37

Problem 187

In the following exercises, translate the given sentence into an algebraic equation.
The sum of 8 and 9 is equal to 17.

Geno Ellis
Geno Ellis
Numerade Educator
00:31

Problem 188

In the following exercises, translate the given sentence into an algebraic equation.
The sum of 7 and 9 is equal to 16 .

Geno Ellis
Geno Ellis
Numerade Educator
00:32

Problem 189

In the following exercises, translate the given sentence into an algebraic equation.
The difference of 23 and 19 is equal to 4 .

Geno Ellis
Geno Ellis
Numerade Educator
00:34

Problem 190

In the following exercises, translate the given sentence into an algebraic equation.
The difference of 29 and 12 is equal to 17.

Geno Ellis
Geno Ellis
Numerade Educator
00:30

Problem 191

In the following exercises, translate the given sentence into an algebraic equation.
The product of 3 and 9 is equal to 27 .

Geno Ellis
Geno Ellis
Numerade Educator
00:30

Problem 192

In the following exercises, translate the given sentence into an algebraic equation.
The product of 6 and 8 is equal to 48 .

Geno Ellis
Geno Ellis
Numerade Educator
00:56

Problem 193

In the following exercises, translate the given sentence into an algebraic equation.
The quotient of 54 and 6 is equal to 9 .

Geno Ellis
Geno Ellis
Numerade Educator
00:38

Problem 194

In the following exercises, translate the given sentence into an algebraic equation.
The quotient of 42 and 7 is equal to 6 .

Geno Ellis
Geno Ellis
Numerade Educator
00:55

Problem 195

In the following exercises, translate the given sentence into an algebraic equation.
Twice the difference of $n$ and 10 gives 52 .

Geno Ellis
Geno Ellis
Numerade Educator
00:51

Problem 196

In the following exercises, translate the given sentence into an algebraic equation.
Twice the difference of $m$ and 14 gives 64.

Geno Ellis
Geno Ellis
Numerade Educator
00:41

Problem 197

In the following exercises, translate the given sentence into an algebraic equation.
The sum of three times $y$ and 10 is 100 .

Geno Ellis
Geno Ellis
Numerade Educator
00:42

Problem 198

In the following exercises, translate the given sentence into an algebraic equation.
The sum of eight times $x$ and 4 is 68 .

Geno Ellis
Geno Ellis
Numerade Educator
01:16

Problem 199

In the following exercises, translate the given sentence into an algebraic equation and then solve it.
Five more than $p$ is equal

Geno Ellis
Geno Ellis
Numerade Educator
01:07

Problem 200

In the following exercises, translate the given sentence into an algebraic equation and then solve it.
Nine more than $q$ is equal

Geno Ellis
Geno Ellis
Numerade Educator
01:12

Problem 201

In the following exercises, translate the given sentence into an algebraic equation and then solve it.
The sum of $r$ and 18 is 73 . to 21 . to 40 .

Geno Ellis
Geno Ellis
Numerade Educator
01:15

Problem 202

In the following exercises, translate the given sentence into an algebraic equation and then solve it.
The sum of $s$ and 13 is 68 .

Geno Ellis
Geno Ellis
Numerade Educator
01:10

Problem 203

In the following exercises, translate the given sentence into an algebraic equation and then solve it.
The difference of $d$ and 30

Geno Ellis
Geno Ellis
Numerade Educator
01:03

Problem 204

In the following exercises, translate the given sentence into an algebraic equation and then solve it.
The difference of $c$ and 25 is equal to 52 . is equal to 75 .

Geno Ellis
Geno Ellis
Numerade Educator
01:18

Problem 205

In the following exercises, translate the given sentence into an algebraic equation and then solve it.
12 less than $u$ is 89 .

Geno Ellis
Geno Ellis
Numerade Educator
01:07

Problem 206

In the following exercises, translate the given sentence into an algebraic equation and then solve it.
19 less than $w$ is 56 .

Geno Ellis
Geno Ellis
Numerade Educator
01:27

Problem 207

In the following exercises, translate the given sentence into an algebraic equation and then solve it.
325 less than $c$ gives 799 .

Geno Ellis
Geno Ellis
Numerade Educator
01:21

Problem 208

In the following exercises, translate the given sentence into an algebraic equation and then solve it.
299 less than $d$ gives 850 .

Geno Ellis
Geno Ellis
Numerade Educator
01:16

Problem 209

Insurance Vince's car insurance has a $$\$ 500$$ deductible. Find the amount the insurance company will pay, $p$, for an $$\$ 1800$$ claim by solving the equation $500+p=1800$.

Geno Ellis
Geno Ellis
Numerade Educator
01:27

Problem 210

Insurance Marta's homeowner's insurance policy has a $$\$ 750$$ deductible. The insurance company paid $$\$ 5800$$ to repair damages caused by a storm. Find the total cost of the storm damage, $d$, by solving the equation $d-750=5800$.

Geno Ellis
Geno Ellis
Numerade Educator
01:06

Problem 211

. Sale purchase Arthur bought a suit that was on sale for $$\$ 120$$ off. He paid $$\$ 340$$ for the suit. Find the original price, $p$, of the suit by solving the equation $p-120=340$.

Geno Ellis
Geno Ellis
Numerade Educator
01:32

Problem 212

Sale purchase Rita bought a sofa that was on sale for $$\$ 1299$$. She paid a total of $$\$ 1409$$, including sales tax. Find the amount of the sales $\operatorname{tax}, t$, by solving the equation $1299+t=1409$.

Geno Ellis
Geno Ellis
Numerade Educator
01:21

Problem 213

Is $x=1$ a solution to the equation $8 x-2=16-6 x$ ? How do you know?

Geno Ellis
Geno Ellis
Numerade Educator
02:09

Problem 214

Write the equation $y-5=21$ in words. Then make up a word problem for this equation.

Geno Ellis
Geno Ellis
Numerade Educator
03:40

Problem 215

In the following exercises, list all the multiples less than 50 for the given number.

2

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
03:12

Problem 216

In the following exercises, list all the multiples less than 50 for the given number.

3

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
03:27

Problem 217

In the following exercises, list all the multiples less than 50 for the given number.

4

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
02:21

Problem 218

In the following exercises, list all the multiples less than 50 for the given number.

5

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
02:45

Problem 219

In the following exercises, list all the multiples less than 50 for the given number.

6

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
02:31

Problem 220

In the following exercises, list all the multiples less than 50 for the given number.

7

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
02:33

Problem 221

In the following exercises, list all the multiples less than 50 for the given number.

8

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
02:04

Problem 222

In the following exercises, list all the multiples less than 50 for the given number.

9

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
02:04

Problem 223

In the following exercises, list all the multiples less than 50 for the given number.

10

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
02:10

Problem 224

In the following exercises, list all the multiples less than 50 for the given number.

12

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
03:05

Problem 225

In the following exercises, use the divisibility tests to determine whether each number is divisible by $2,3,4,5,6$, and 10 .

84

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
02:54

Problem 226

In the following exercises, use the divisibility tests to determine whether each number is divisible by $2,3,4,5,6$, and 10 .

96

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
02:40

Problem 227

In the following exercises, use the divisibility tests to determine whether each number is divisible by $2,3,4,5,6$, and 10 .

75

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
02:40

Problem 228

In the following exercises, use the divisibility tests to determine whether each number is divisible by $2,3,4,5,6$, and 10 .

78

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
02:07

Problem 229

In the following exercises, use the divisibility tests to determine whether each number is divisible by $2,3,4,5,6$, and 10 .

168

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
02:06

Problem 230

In the following exercises, use the divisibility tests to determine whether each number is divisible by $2,3,4,5,6$, and 10 .

264

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
01:16

Problem 231

In the following exercises, use the divisibility tests to determine whether each number is divisible by $2,3,4,5,6$, and 10 .

900

Celine Ibrahim
Celine Ibrahim
Numerade Educator
02:05

Problem 232

In the following exercises, use the divisibility tests to determine whether each number is divisible by $2,3,4,5,6$, and 10 .

800

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
02:17

Problem 233

In the following exercises, use the divisibility tests to determine whether each number is divisible by $2,3,4,5,6$, and 10 .

896

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
06:10

Problem 234

In the following exercises, use the divisibility tests to determine whether each number is divisible by $2,3,4,5,6$, and 10 .

942

Willis James
Willis James
Numerade Educator
02:12

Problem 235

In the following exercises, use the divisibility tests to determine whether each number is divisible by $2,3,4,5,6$, and 10 .

375

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
02:02

Problem 236

In the following exercises, use the divisibility tests to determine whether each number is divisible by $2,3,4,5,6$, and 10 .

750

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
02:06

Problem 237

In the following exercises, use the divisibility tests to determine whether each number is divisible by $2,3,4,5,6$, and 10 .

350

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
02:15

Problem 238

In the following exercises, use the divisibility tests to determine whether each number is divisible by $2,3,4,5,6$, and 10 .

550

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
02:15

Problem 239

In the following exercises, use the divisibility tests to determine whether each number is divisible by $2,3,4,5,6$, and 10 .

1430

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
02:14

Problem 240

In the following exercises, use the divisibility tests to determine whether each number is divisible by $2,3,4,5,6$, and 10 .

1080

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
03:06

Problem 241

In the following exercises, use the divisibility tests to determine whether each number is divisible by $2,3,4,5,6$, and 10 .

22,335

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
02:31

Problem 242

In the following exercises, use the divisibility tests to determine whether each number is divisible by $2,3,4,5,6$, and 10 .

39,075

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
02:18

Problem 243

In the following exercises, find all the factors of the given number

36

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
03:11

Problem 244

In the following exercises, find all the factors of the given number

42

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
03:38

Problem 245

In the following exercises, find all the factors of the given number

60

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
02:33

Problem 246

In the following exercises, find all the factors of the given number

48

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
10:17

Problem 247

In the following exercises, find all the factors of the given number

144

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
05:57

Problem 248

In the following exercises, find all the factors of the given number

200

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
07:40

Problem 249

In the following exercises, find all the factors of the given number

588

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
07:28

Problem 250

In the following exercises, find all the factors of the given number

576

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
02:52

Problem 251

In the following exercises, determine if the given number is prime or composite.

43

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
03:36

Problem 252

In the following exercises, determine if the given number is prime or composite.

67

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
02:57

Problem 253

In the following exercises, determine if the given number is prime or composite.

39

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
02:11

Problem 254

In the following exercises, determine if the given number is prime or composite.

53

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
02:16

Problem 255

In the following exercises, determine if the given number is prime or composite.

71

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
04:05

Problem 256

In the following exercises, determine if the given number is prime or composite.

119

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
04:43

Problem 257

In the following exercises, determine if the given number is prime or composite.

481

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
03:33

Problem 258

In the following exercises, determine if the given number is prime or composite.

221

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
02:40

Problem 259

In the following exercises, determine if the given number is prime or composite.

209

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
05:23

Problem 260

In the following exercises, determine if the given number is prime or composite.

359

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
08:02

Problem 261

In the following exercises, determine if the given number is prime or composite.

667

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
02:24

Problem 262

In the following exercises, determine if the given number is prime or composite.

1771

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
02:29

Problem 263

Banking Frank's grandmother gave him $$\$ 100$$ at his high school graduation. Instead of spending it, Frank opened a bank account. Every week, he added $$\$ 15$$ to the account. The table shows how much money Frank had put in the account by the end of each week. Complete the table by filling in the blanks.
$$
\begin{array}{|c|c|c|}
\hline \begin{array}{c}
\text { Weeks } \\
\text { after } \\
\text { graduation }
\end{array} & \begin{array}{c}
\text { Total number of } \\
\text { dollars Frank put } \\
\text { in the account }
\end{array} & \begin{array}{c}
\text { Simplified } \\
\text { Total }
\end{array} \\
\hline 0 & 100 & 100 \\
\hline 1 & 100+15 & 115 \\
\hline 2 & 100+15 \cdot 2 & 130 \\
\hline 3 & 100+15 \cdot 3 & \\
\hline 4 & 100+15 \cdot[] & \\
\hline 5 & 100+[] & \\
\hline 6 & & \\
\hline 20 & & \\
\hline x & & \\
\hline
\end{array}
$$

Brenda Sanchez
Brenda Sanchez
Numerade Educator
03:17

Problem 264

In March, Gina opened a Christmas club savings account at her bank. She deposited $$\$ 75$$ to open the account. Every week, she added $$\$ 20$$ to the account. The table shows how much money Gina had put in the account by the end of each week. Complete the table by filling in the blanks.
$$
\begin{array}{|c|c|c|}
\hline \begin{array}{c}
\text { Weeks } \\
\text { after } \\
\text { opening } \\
\text { the } \\
\text { account }
\end{array} & \begin{array}{l}
\text { Total number of } \\
\text { dollars Gina put } \\
\text { in the account }
\end{array} & \begin{array}{c}
\text { Simplified } \\
\text { Total }
\end{array} \\
\hline 0 & 75 & 75 \\
\hline 1 & 75+20 & 95 \\
\hline 2 & 75+20 \cdot 2 & 115 \\
\hline 3 & 75+20 \cdot 3 & \\
\hline 4 & 75+20 \cdot[] & \\
\hline 5 & 75+[] & \\
\hline 6 & & \\
\hline 20 & & \\
\hline x & & \\
\hline
\end{array}
$$

Ernest Castorena
Ernest Castorena
Numerade Educator
03:16

Problem 265

If a number is divisible by 2 and by 3 , why is it also divisible by 6 ?

Gokul R Nair
Gokul R Nair
Numerade Educator
03:23

Problem 266

What is the difference between prime numbers and composite numbers?

Gokul R Nair
Gokul R Nair
Numerade Educator
00:32

Problem 267

In the following exercises, find the prime factorization of each number using the factor tree method.
86

Julie Silva
Julie Silva
Numerade Educator
00:44

Problem 268

In the following exercises, find the prime factorization of each number using the factor tree method.
78

Julie Silva
Julie Silva
Numerade Educator
01:06

Problem 269

In the following exercises, find the prime factorization of each number using the factor tree method.
132

Julie Silva
Julie Silva
Numerade Educator
00:50

Problem 270

In the following exercises, find the prime factorization of each number using the factor tree method.
455

Julie Silva
Julie Silva
Numerade Educator
01:11

Problem 271

In the following exercises, find the prime factorization of each number using the factor tree method.
693

Julie Silva
Julie Silva
Numerade Educator
01:20

Problem 272

In the following exercises, find the prime factorization of each number using the factor tree method.
420

Julie Silva
Julie Silva
Numerade Educator
00:43

Problem 273

In the following exercises, find the prime factorization of each number using the factor tree method.
115

Julie Silva
Julie Silva
Numerade Educator
01:19

Problem 274

In the following exercises, find the prime factorization of each number using the factor tree method.
225

Julie Silva
Julie Silva
Numerade Educator
01:35

Problem 275

In the following exercises, find the prime factorization of each number using the factor tree method.
2475

Julie Silva
Julie Silva
Numerade Educator
01:47

Problem 276

In the following exercises, find the prime factorization of each number using the factor tree method.
1560

Julie Silva
Julie Silva
Numerade Educator
01:13

Problem 277

In the following exercises, find the prime factorization of each number using the ladder method.
56

Julie Silva
Julie Silva
Numerade Educator
01:17

Problem 278

In the following exercises, find the prime factorization of each number using the ladder method.
72

Julie Silva
Julie Silva
Numerade Educator
01:25

Problem 279

In the following exercises, find the prime factorization of each number using the ladder method.
168

Julie Silva
Julie Silva
Numerade Educator
01:48

Problem 280

In the following exercises, find the prime factorization of each number using the ladder method.
252

Julie Silva
Julie Silva
Numerade Educator
00:59

Problem 281

In the following exercises, find the prime factorization of each number using the ladder method.
391

Julie Silva
Julie Silva
Numerade Educator
01:26

Problem 282

In the following exercises, find the prime factorization of each number using the ladder method.
400

Julie Silva
Julie Silva
Numerade Educator
01:53

Problem 283

In the following exercises, find the prime factorization of each number using the ladder method.
432

Julie Silva
Julie Silva
Numerade Educator
01:02

Problem 284

In the following exercises, find the prime factorization of each number using the ladder method.
627

Julie Silva
Julie Silva
Numerade Educator
02:35

Problem 285

In the following exercises, find the prime factorization of each number using the ladder method.
2160

Julie Silva
Julie Silva
Numerade Educator
02:23

Problem 286

In the following exercises, find the prime factorization of each number using the ladder method.
2520

Julie Silva
Julie Silva
Numerade Educator
01:02

Problem 287

In the following exercises, find the prime factorization of each number using any method.
150

Julie Silva
Julie Silva
Numerade Educator
01:20

Problem 288

In the following exercises, find the prime factorization of each number using any method.
180

Julie Silva
Julie Silva
Numerade Educator
01:18

Problem 289

In the following exercises, find the prime factorization of each number using any method.
525

Julie Silva
Julie Silva
Numerade Educator
01:19

Problem 290

In the following exercises, find the prime factorization of each number using any method.
444

Julie Silva
Julie Silva
Numerade Educator
01:05

Problem 291

In the following exercises, find the prime factorization of each number using any method.
36

Julie Silva
Julie Silva
Numerade Educator
00:53

Problem 292

In the following exercises, find the prime factorization of each number using any method.
50

Julie Silva
Julie Silva
Numerade Educator
01:09

Problem 293

In the following exercises, find the prime factorization of each number using any method.
350

Julie Silva
Julie Silva
Numerade Educator
01:30

Problem 294

In the following exercises, find the prime factorization of each number using any method.
144

Julie Silva
Julie Silva
Numerade Educator
01:42

Problem 295

In the following exercises, find the least common multiple (LCM) by listing multiples.
8,12

Julie Silva
Julie Silva
Numerade Educator
00:41

Problem 296

In the following exercises, find the least common multiple (LCM) by listing multiples.
4,3

Julie Silva
Julie Silva
Numerade Educator
00:43

Problem 297

In the following exercises, find the least common multiple (LCM) by listing multiples.
6,15

Julie Silva
Julie Silva
Numerade Educator
01:59

Problem 298

In the following exercises, find the least common multiple (LCM) by listing multiples.
12,16

Julie Silva
Julie Silva
Numerade Educator
01:08

Problem 299

In the following exercises, find the least common multiple (LCM) by listing multiples.
30,40

Celine Ibrahim
Celine Ibrahim
Numerade Educator
01:17

Problem 300

In the following exercises, find the least common multiple (LCM) by listing multiples.
20,30

Celine Ibrahim
Celine Ibrahim
Numerade Educator
00:57

Problem 301

In the following exercises, find the least common multiple (LCM) by listing multiples.
60,75

Julie Silva
Julie Silva
Numerade Educator
01:05

Problem 302

In the following exercises, find the least common multiple (LCM) by listing multiples.
44,55

Julie Silva
Julie Silva
Numerade Educator
01:42

Problem 303

In the following exercises, find the least common multiple (LCM) by using the prime factors method.
8,12

Julie Silva
Julie Silva
Numerade Educator
01:59

Problem 304

In the following exercises, find the least common multiple (LCM) by using the prime factors method.
12,16

Julie Silva
Julie Silva
Numerade Educator
02:04

Problem 305

In the following exercises, find the least common multiple (LCM) by using the prime factors method.
24,30

Julie Silva
Julie Silva
Numerade Educator
02:11

Problem 306

In the following exercises, find the least common multiple (LCM) by using the prime factors method.
28,40

Julie Silva
Julie Silva
Numerade Educator
02:40

Problem 307

In the following exercises, find the least common multiple (LCM) by using the prime factors method.
70,84

Julie Silva
Julie Silva
Numerade Educator
02:40

Problem 308

In the following exercises, find the least common multiple (LCM) by using the prime factors method.
84,90

Julie Silva
Julie Silva
Numerade Educator
01:21

Problem 309

In the following exercises, find the least common multiple (LCM) using any method.
6,21

Julie Silva
Julie Silva
Numerade Educator
00:48

Problem 310

In the following exercises, find the least common multiple (LCM) using any method.
9,15

Julie Silva
Julie Silva
Numerade Educator
00:51

Problem 311

In the following exercises, find the least common multiple (LCM) using any method.
24,30

Julie Silva
Julie Silva
Numerade Educator
00:56

Problem 312

In the following exercises, find the least common multiple (LCM) using any method.
32,40

Julie Silva
Julie Silva
Numerade Educator
01:16

Problem 313

Grocery shopping Hot dogs are sold in packages of ten, but hot dog buns come in packs of eight. What is the smallest number of hot dogs and buns that can be purchased if you want to have the same number of hot dogs and buns? (Hint: it is the LCM!)

Julie Silva
Julie Silva
Numerade Educator
01:10

Problem 314

Grocery shopping Paper plates are sold in packages of 12 and party cups come in packs of 8. What is the smallest number of plates and cups you can purchase if you want to have the same number of each? (Hint: it is the LCM!)

Julie Silva
Julie Silva
Numerade Educator
01:02

Problem 315

Do you prefer to find the prime factorization of a composite number by using the factor tree method or the ladder method? Why?

Julie Silva
Julie Silva
Numerade Educator
00:45

Problem 316

Do you prefer to find the LCM by listing multiples or by using the prime factors method? Why?

Julie Silva
Julie Silva
Numerade Educator
00:19

Problem 317

In the following exercises, translate from algebra to English.
$3 \cdot 8$

Julie Silva
Julie Silva
Numerade Educator
00:21

Problem 318

In the following exercises, translate from algebra to English.
$12-x$

Julie Silva
Julie Silva
Numerade Educator
00:20

Problem 319

In the following exercises, translate from algebra to English.
$24 \div 6$

Julie Silva
Julie Silva
Numerade Educator
00:39

Problem 320

In the following exercises, translate from algebra to English.
$9+2 a$

Julie Silva
Julie Silva
Numerade Educator
00:23

Problem 321

In the following exercises, translate from algebra to English.
$50 \geq 47$

Julie Silva
Julie Silva
Numerade Educator
00:38

Problem 322

In the following exercises, translate from algebra to English.
$3 y<15$

Julie Silva
Julie Silva
Numerade Educator
00:32

Problem 323

In the following exercises, translate from algebra to English.
$n+4=13$

Julie Silva
Julie Silva
Numerade Educator
00:47

Problem 324

In the following exercises, translate from algebra to English.
$32-k=7$

Julie Silva
Julie Silva
Numerade Educator
00:14

Problem 325

In the following exercises, determine if each is an expression or equation.
. $5+u=84$

Julie Silva
Julie Silva
Numerade Educator
00:14

Problem 326

In the following exercises, determine if each is an expression or equation.
$36-6 s$

Julie Silva
Julie Silva
Numerade Educator
00:12

Problem 327

In the following exercises, determine if each is an expression or equation.
$4 y-11$

Julie Silva
Julie Silva
Numerade Educator
00:14

Problem 328

In the following exercises, determine if each is an expression or equation.
$10 x=120$

Julie Silva
Julie Silva
Numerade Educator
00:21

Problem 329

In the following exercises, write in exponential form.
$2 \cdot 2 \cdot 2$

Julie Silva
Julie Silva
Numerade Educator
00:22

Problem 330

In the following exercises, write in exponential form.
$a \cdot a \cdot a \cdot a \cdot a$

Julie Silva
Julie Silva
Numerade Educator
00:22

Problem 331

In the following exercises, write in exponential form.
. $x \cdot x \cdot x \cdot x \cdot x \cdot x$

Julie Silva
Julie Silva
Numerade Educator
00:18

Problem 332

In the following exercises, write in exponential form.
$10 \cdot 10 \cdot 10$

Julie Silva
Julie Silva
Numerade Educator
00:19

Problem 333

In the following exercises, write in expanded form.
$8^4$

Julie Silva
Julie Silva
Numerade Educator
00:21

Problem 334

In the following exercises, write in expanded form.
$3^6$

Julie Silva
Julie Silva
Numerade Educator
00:21

Problem 335

In the following exercises, write in expanded form.
$y^5$

Julie Silva
Julie Silva
Numerade Educator
00:21

Problem 336

In the following exercises, write in expanded form.
$n^4$

Julie Silva
Julie Silva
Numerade Educator
01:52

Problem 337

In the following exercises, simplify each expression.
$3^4$

Caleb Fink
Caleb Fink
Numerade Educator
01:02

Problem 338

In the following exercises, simplify each expression
. $10^6$

Julie Silva
Julie Silva
Numerade Educator
01:03

Problem 339

In the following exercises, simplify each expression
$2^7$

Julie Silva
Julie Silva
Numerade Educator
00:34

Problem 340

In the following exercises, simplify each expression
$4^3$

Brian Austin
Brian Austin
Numerade Educator
00:20

Problem 341

In the following exercises, simplify.
$10+2 \cdot 5$

Julie Silva
Julie Silva
Numerade Educator
00:20

Problem 342

In the following exercises, simplify.
$(10+2) \cdot 5$

Julie Silva
Julie Silva
Numerade Educator
01:54

Problem 343

In the following exercises, simplify.
$(30+6) \div 2$

Daniel Carr
Daniel Carr
Numerade Educator
01:54

Problem 344

In the following exercises, simplify.
$30+6 \div 2$

Daniel Carr
Daniel Carr
Numerade Educator
00:36

Problem 345

In the following exercises, simplify.
$7^2+5^2$

Julie Silva
Julie Silva
Numerade Educator
00:22

Problem 346

In the following exercises, simplify.
$(7+5)^2$

Julie Silva
Julie Silva
Numerade Educator
00:32

Problem 347

In the following exercises, simplify.
$4+3(10-1)$

Julie Silva
Julie Silva
Numerade Educator
00:40

Problem 348

In the following exercises, simplify.
$(4+3)(10-1)$

Julie Silva
Julie Silva
Numerade Educator
00:43

Problem 349

In the following exercises, evaluate the following expressions.
$9 x-5$ when $x=7$

Julie Silva
Julie Silva
Numerade Educator
00:32

Problem 350

In the following exercises, evaluate the following expressions.
$y^3$ when $y=5$

Julie Silva
Julie Silva
Numerade Educator
00:57

Problem 351

In the following exercises, evaluate the following expressions.
$3 a-4 b$ when $a=10, b=1$

Julie Silva
Julie Silva
Numerade Educator
00:28

Problem 352

In the following exercises, evaluate the following expressions.
$b h$ when $b=7, h=8$

Julie Silva
Julie Silva
Numerade Educator
00:22

Problem 353

In the following exercises, identify the terms in each expression.
$12 n^2+3 n+1$

Julie Silva
Julie Silva
Numerade Educator
00:24

Problem 354

In the following exercises, identify the terms in each expressio
$4 x^3+11 x+3$

Julie Silva
Julie Silva
Numerade Educator
00:11

Problem 355

In the following exercises, identify the coefficient of each term.
$6 y$

Julie Silva
Julie Silva
Numerade Educator
00:11

Problem 356

In the following exercises, identify the coefficient of each term.
$13 x^2$

Julie Silva
Julie Silva
Numerade Educator
00:55

Problem 357

In the following exercises, identify the like terms.
$5 x^2, 3,5 y^2, 3 x, x, 4$

Julie Silva
Julie Silva
Numerade Educator
00:52

Problem 358

In the following exercises, identify the like terms.
$8,8 r^2, 8 r, 3 r, r^2, 3 s$

Julie Silva
Julie Silva
Numerade Educator
00:22

Problem 359

In the following exercises, simplify the following expressions by combining like terms.
$15 a+9 a$

Julie Silva
Julie Silva
Numerade Educator
00:30

Problem 360

In the following exercises, simplify the following expressions by combining like terms.
$12 y+3 y+y$

Julie Silva
Julie Silva
Numerade Educator
00:23

Problem 361

In the following exercises, simplify the following expressions by combining like terms.
$4 x+7 x+3 x$

Julie Silva
Julie Silva
Numerade Educator
00:39

Problem 362

In the following exercises, simplify the following expressions by combining like terms.
. $6+5 c+3$

Julie Silva
Julie Silva
Numerade Educator
00:53

Problem 363

In the following exercises, simplify the following expressions by combining like terms.
$8 n+2+4 n+9$

Julie Silva
Julie Silva
Numerade Educator
00:59

Problem 364

In the following exercises, simplify the following expressions by combining like terms.
$19 p+5+4 p-1+3 p$

Julie Silva
Julie Silva
Numerade Educator
01:03

Problem 365

In the following exercises, simplify the following expressions by combining like terms.
$7 y^2+2 y+11+3 y^2-8$

Julie Silva
Julie Silva
Numerade Educator
01:10

Problem 366

In the following exercises, simplify the following expressions by combining like terms.
$13 x^2-x+6+5 x^2+9 x$

Julie Silva
Julie Silva
Numerade Educator
00:17

Problem 367

In the following exercises, translate the following phrases into algebraic expressions.
the difference of $x$ and 6

Julie Silva
Julie Silva
Numerade Educator
00:37

Problem 368

In the following exercises, translate the following phrases into algebraic expressions.
the sum of 10 and twice $a$

Julie Silva
Julie Silva
Numerade Educator
00:19

Problem 369

In the following exercises, translate the following phrases into algebraic expressions.
the product of $3 n$ and 9

Julie Silva
Julie Silva
Numerade Educator
00:26

Problem 370

In the following exercises, translate the following phrases into algebraic expressions.
the quotient of $s$ and 4

Julie Silva
Julie Silva
Numerade Educator
00:32

Problem 371

In the following exercises, translate the following phrases into algebraic expressions.
. 5 times the sum of $y$ and

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
00:48

Problem 372

In the following exercises, translate the following phrases into algebraic expressions.
10 less than the product
1 of 5 and $z$

Julie Silva
Julie Silva
Numerade Educator
00:38

Problem 373

Jack bought a sandwich and a coffee. The cost of the sandwich was $$\$ 3$$ more than the cost of the coffee. Call the cost of the coffee $c$. Write an expression for the cost of the sandwich.

Julie Silva
Julie Silva
Numerade Educator
01:00

Problem 374

. The number of poetry books on Brianna's bookshelf is 5 less than twice the number of novels. Call the number of novels $n$. Write an expression for the number of poetry books.

Julie Silva
Julie Silva
Numerade Educator
00:51

Problem 375

In the following exercises, determine whether each number is a solution to the equation.
$y+16=40$
(a) 24
(b) 56

Julie Silva
Julie Silva
Numerade Educator
00:52

Problem 376

In the following exercises, determine whether each number is a solution to the equation.
$d-6=21$
(a) 15
(b) 27

Julie Silva
Julie Silva
Numerade Educator
01:19

Problem 377

In the following exercises, determine whether each number is a solution to the equation.
. $4 n+12=36$
(a) 6
(b) 12

Julie Silva
Julie Silva
Numerade Educator
01:10

Problem 378

In the following exercises, determine whether each number is a solution to the equation.
$20 q-10=70$
(a) 3
(b) 4

Julie Silva
Julie Silva
Numerade Educator
01:51

Problem 379

In the following exercises, determine whether each number is a solution to the equation.
$15 x-5=10 x+45$
(a) 2
(b) 10

Julie Silva
Julie Silva
Numerade Educator
02:00

Problem 380

In the following exercises, determine whether each number is a solution to the equation.
$22 p-6=18 p+86$
(a) 4
(b) 23

Julie Silva
Julie Silva
Numerade Educator
00:48

Problem 381

In the following exercises, write the equation modeled by the envelopes and counters and then solve the equation using the subtraction property of equality.
(IMAGE CANT COPY)

Geno Ellis
Geno Ellis
Numerade Educator
00:48

Problem 382

In the following exercises, write the equation modeled by the envelopes and counters and then solve the equation using the subtraction property of equality.
(IMAGE CANT COPY)

Geno Ellis
Geno Ellis
Numerade Educator
00:24

Problem 383

In the following exercises, solve each equation using the subtraction property of equality.
$c+8=14$

Julie Silva
Julie Silva
Numerade Educator
00:29

Problem 384

In the following exercises, solve each equation using the subtraction property of equality.
$v+8=150$

Julie Silva
Julie Silva
Numerade Educator
00:30

Problem 385

In the following exercises, solve each equation using the subtraction property of equality.
$23=x+12$

Julie Silva
Julie Silva
Numerade Educator
00:44

Problem 386

In the following exercises, solve each equation using the subtraction property of equality.
$376=n+265$

Julie Silva
Julie Silva
Numerade Educator
00:30

Problem 387

In the following exercises, solve each equation using the addition property of equality.
$y-7=16$

Julie Silva
Julie Silva
Numerade Educator
00:34

Problem 388

In the following exercises, solve each equation using the addition property of equality.
$k-42=113$

Julie Silva
Julie Silva
Numerade Educator
00:34

Problem 389

In the following exercises, solve each equation using the addition property of equality.
$19=p-15$

Julie Silva
Julie Silva
Numerade Educator
00:38

Problem 390

In the following exercises, solve each equation using the addition property of equality.
$501=u-399$

Julie Silva
Julie Silva
Numerade Educator
00:43

Problem 391

In the following exercises, translate each English sentence into an algebraic equation.
The sum of 7 and 33 is equal to 40 .

Julie Silva
Julie Silva
Numerade Educator
00:42

Problem 392

In the following exercises, translate each English sentence into an algebraic equation.
The difference of 15 and 3 is equal to 12 .

Julie Silva
Julie Silva
Numerade Educator
00:38

Problem 393

In the following exercises, translate each English sentence into an algebraic equation.
The product of 4 and 8 is equal to 32 .

Julie Silva
Julie Silva
Numerade Educator
00:41

Problem 394

In the following exercises, translate each English sentence into an algebraic equation.
The quotient of 63 and 9 is equal to 7 .

Julie Silva
Julie Silva
Numerade Educator
00:56

Problem 395

In the following exercises, translate each English sentence into an algebraic equation.
Twice the difference of $n$ and 3 gives 76 .

Julie Silva
Julie Silva
Numerade Educator
00:53

Problem 396

In the following exercises, translate each English sentence into an algebraic equation.
The sum of five times $y$ and 4 is 89 .

Julie Silva
Julie Silva
Numerade Educator
00:46

Problem 397

In the following exercises, translate each English sentence into an algebraic equation and then solve it.
Eight more than $x$ is equal to 35 .

Julie Silva
Julie Silva
Numerade Educator
00:51

Problem 398

In the following exercises, translate each English sentence into an algebraic equation and then solve it.
21 less than $a$ is 11 .

Julie Silva
Julie Silva
Numerade Educator
00:54

Problem 399

In the following exercises, translate each English sentence into an algebraic equation and then solve it.
The difference of $q$ and 18 is 57 .

Julie Silva
Julie Silva
Numerade Educator
01:02

Problem 400

In the following exercises, translate each English sentence into an algebraic equation and then solve it.
The sum of $m$ and 125 is 240 .

Julie Silva
Julie Silva
Numerade Educator
00:27

Problem 401

In the following exercises, solve each equation.
$h-15=27$

Julie Silva
Julie Silva
Numerade Educator
00:30

Problem 402

In the following exercises, solve each equation.
$k-11=34$

Julie Silva
Julie Silva
Numerade Educator
00:34

Problem 404

In the following exercises, solve each equation.
$x+93=114$

Julie Silva
Julie Silva
Numerade Educator
00:32

Problem 405

In the following exercises, solve each equation.
$27=q+19$

Julie Silva
Julie Silva
Numerade Educator
00:35

Problem 406

In the following exercises, solve each equation.
$38=p+19$

Julie Silva
Julie Silva
Numerade Educator
00:34

Problem 407

In the following exercises, solve each equation.
$31=v-25$

Julie Silva
Julie Silva
Numerade Educator
00:35

Problem 408

In the following exercises, solve each equation.
$38=u-16$

Julie Silva
Julie Silva
Numerade Educator
01:25

Problem 409

In the following exercises, list all the multiples less than 50 for each of the following.
3

Julie Silva
Julie Silva
Numerade Educator
01:51

Problem 410

In the following exercises, list all the multiples less than 50 for each of the following.
2

Julie Silva
Julie Silva
Numerade Educator
00:44

Problem 411

In the following exercises, list all the multiples less than 50 for each of the following.
8

Julie Silva
Julie Silva
Numerade Educator
00:36

Problem 412

In the following exercises, list all the multiples less than 50 for each of the following.
10

Julie Silva
Julie Silva
Numerade Educator
01:08

Problem 413

In the following exercises, using the divisibility tests, determine whether each number is divisible by 2 , by 3 , by 5 , by 6 , and by 10 .
96

Julie Silva
Julie Silva
Numerade Educator
01:10

Problem 414

In the following exercises, using the divisibility tests, determine whether each number is divisible by 2 , by 3 , by 5 , by 6 , and by 10 .
250

Julie Silva
Julie Silva
Numerade Educator
01:08

Problem 415

In the following exercises, using the divisibility tests, determine whether each number is divisible by 2 , by 3 , by 5 , by 6 , and by 10 .
420

Julie Silva
Julie Silva
Numerade Educator
01:08

Problem 416

In the following exercises, using the divisibility tests, determine whether each number is divisible by 2 , by 3 , by 5 , by 6 , and by 10 .
625

Julie Silva
Julie Silva
Numerade Educator
00:54

Problem 417

In the following exercises, find all the factors of each number.
30

Julie Silva
Julie Silva
Numerade Educator
00:51

Problem 418

In the following exercises, find all the factors of each number.
70

Julie Silva
Julie Silva
Numerade Educator
01:34

Problem 419

In the following exercises, find all the factors of each number.
180

Julie Silva
Julie Silva
Numerade Educator
02:17

Problem 420

In the following exercises, find all the factors of each number.
378

Julie Silva
Julie Silva
Numerade Educator
00:11

Problem 421

In the following exercises, identify each number as prime or composite.
19

Julie Silva
Julie Silva
Numerade Educator
00:25

Problem 422

In the following exercises, identify each number as prime or composite.
51

Julie Silva
Julie Silva
Numerade Educator
00:19

Problem 423

In the following exercises, identify each number as prime or composite.
121

Julie Silva
Julie Silva
Numerade Educator
00:35

Problem 424

In the following exercises, identify each number as prime or composite.
219

Julie Silva
Julie Silva
Numerade Educator
00:41

Problem 425

In the following exercises, find the prime factorization of each number.
84

Julie Silva
Julie Silva
Numerade Educator
00:37

Problem 426

In the following exercises, find the prime factorization of each number.
165

Julie Silva
Julie Silva
Numerade Educator
00:47

Problem 427

In the following exercises, find the prime factorization of each number.
350

Julie Silva
Julie Silva
Numerade Educator
00:56

Problem 428

In the following exercises, find the prime factorization of each number.
572

Julie Silva
Julie Silva
Numerade Educator
00:48

Problem 429

In the following exercises, find the least common multiple of each pair of numbers.
9,15

Julie Silva
Julie Silva
Numerade Educator
00:47

Problem 430

In the following exercises, find the least common multiple of each pair of numbers.
12,20

Julie Silva
Julie Silva
Numerade Educator
01:00

Problem 431

In the following exercises, find the least common multiple of each pair of numbers.
25,35

Julie Silva
Julie Silva
Numerade Educator
01:55

Problem 432

In the following exercises, find the least common multiple of each pair of numbers.
18,40

Julie Silva
Julie Silva
Numerade Educator
01:28

Problem 433

Describe how you have used two topics from The
Language of Algebra chapter in your life outside of your math class during the past month.

Julie Silva
Julie Silva
Numerade Educator
00:19

Problem 434

In the following exercises, translate from an algebraic equation to English phrases.
$6 \cdot 4$

Julie Silva
Julie Silva
Numerade Educator
00:20

Problem 435

In the following exercises, translate from an algebraic equation to English phrases.
$15-x$

Julie Silva
Julie Silva
Numerade Educator
00:15

Problem 436

In the following exercises, identify each as an expression or equation.
$5 \cdot 8+10$

Julie Silva
Julie Silva
Numerade Educator
00:12

Problem 437

In the following exercises, identify each as an expression or equation.
$x+6=9$

Julie Silva
Julie Silva
Numerade Educator
00:12

Problem 438

In the following exercises, identify each as an expression or equation.
$3 \cdot 11=33$

Julie Silva
Julie Silva
Numerade Educator
00:54

Problem 439

In the following exercises, identify each as an expression or equation.
(a) Write $n \cdot n \cdot n \cdot n \cdot n \cdot n$ in exponential form.
(b) Write $3^5$ in expanded form and then simplify.

Julie Silva
Julie Silva
Numerade Educator
00:27

Problem 440

In the following exercises, simplify, using the order of operations.
$4+3 \cdot 5$

Julie Silva
Julie Silva
Numerade Educator
00:19

Problem 441

In the following exercises, simplify, using the order of operations.
$(8+1) \cdot 4$

Julie Silva
Julie Silva
Numerade Educator
00:34

Problem 442

In the following exercises, simplify, using the order of operations.
$1+6(3-1)$

Julie Silva
Julie Silva
Numerade Educator
00:36

Problem 443

In the following exercises, simplify, using the order of operations.
$(8+4) \div 3+1$

Julie Silva
Julie Silva
Numerade Educator
00:20

Problem 444

In the following exercises, simplify, using the order of operations.
$(1+4)^2$

Julie Silva
Julie Silva
Numerade Educator
00:53

Problem 445

In the following exercises, simplify, using the order of operations.
$5[2+7(9-8)]$

Julie Silva
Julie Silva
Numerade Educator
00:38

Problem 446

In the following exercises, evaluate each expression.
$8 x-3$ when $x=4$

Julie Silva
Julie Silva
Numerade Educator
00:32

Problem 447

In the following exercises, evaluate each expression.
$y^3$ when $y=5$

Julie Silva
Julie Silva
Numerade Educator
00:55

Problem 448

In the following exercises, evaluate each expression.
$6 a-2 b$ when $a=5, b=7$

Julie Silva
Julie Silva
Numerade Educator
00:22

Problem 449

In the following exercises, evaluate each expression.
hw when $h=12, w=3$

Julie Silva
Julie Silva
Numerade Educator
01:00

Problem 450

In the following exercises, evaluate each expression.
Simplify by combining like terms.
(a) $6 x+8 x$
(b) $9 m+10+m+3$

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
00:19

Problem 451

In the following exercises, translate each phrase into an algebraic expression.
5 more than $x$

Julie Silva
Julie Silva
Numerade Educator
00:21

Problem 452

In the following exercises, translate each phrase into an algebraic expression.
the quotient of 12 and $y$

Julie Silva
Julie Silva
Numerade Educator
00:33

Problem 453

In the following exercises, translate each phrase into an algebraic expression.
three times the difference of $a$ and $b$

Julie Silva
Julie Silva
Numerade Educator
00:40

Problem 454

In the following exercises, translate each phrase into an algebraic expression.
Caroline has 3 fewer earrings on her left ear than on her right ear. Call the number of earrings on her right ear, $r$. Write an expression for the number of earrings on her left ear.

Julie Silva
Julie Silva
Numerade Educator
00:27

Problem 455

In the following exercises, solve each equation.
$n-6=25$

Julie Silva
Julie Silva
Numerade Educator
00:33

Problem 456

In the following exercises, solve each equation.
$x+58=71$

Julie Silva
Julie Silva
Numerade Educator
00:54

Problem 457

In the following exercises, translate each English sentence into an algebraic equation and then solve it.
15 less than $y$ is 32 .

Julie Silva
Julie Silva
Numerade Educator
00:57

Problem 458

In the following exercises, translate each English sentence into an algebraic equation and then solve it.
the sum of $a$ and 129 is

Julie Silva
Julie Silva
Numerade Educator
01:08

Problem 459

In the following exercises, translate each English sentence into an algebraic equation and then solve it.
List all the multiples of 4 164. that are less than 50 .

Julie Silva
Julie Silva
Numerade Educator
00:59

Problem 460

In the following exercises, translate each English sentence into an algebraic equation and then solve it.
. Find all the factors of 90.

Julie Silva
Julie Silva
Numerade Educator
01:08

Problem 461

In the following exercises, translate each English sentence into an algebraic equation and then solve it.
Find the prime

Julie Silva
Julie Silva
Numerade Educator
00:48

Problem 462

In the following exercises, translate each English sentence into an algebraic equation and then solve it.
Find the LCM (Least factorization of 1080 .
Common Multiple) of 24 and 40.

Julie Silva
Julie Silva
Numerade Educator