Elementary Algebra

Lynn Marecek

Chapter 10 Quadratic Equations - all with Video Answers

Educators

Section 1

Solve Quadratic Equations Using the Square Root Property

00:54

Problem 1

In the following exercises, solve the following quadratic equations.
$$
a^{2}=49
$$

Rachel Mcbride

Numerade Educator

01:31

Problem 2

In the following exercises, solve the following quadratic equations.
$b^{2}=144$

Rachel Mcbride

Numerade Educator

02:55

Problem 3

In the following exercises, solve the following quadratic equations.
$r^{2}-24=0$

Muhammad Nawaz

Numerade Educator

01:08

Problem 4

In the following exercises, solve the following quadratic equations.
$t^{2}-75=0$

Rachel Mcbride

Numerade Educator

01:05

Problem 5

In the following exercises, solve the following quadratic equations.
$u^{2}-300=0$

Rachel Mcbride

Numerade Educator

01:29

Problem 6

In the following exercises, solve the following quadratic equations.
$v^{2}-80=0$

Rachel Mcbride

Numerade Educator

00:46

Problem 7

In the following exercises, solve the following quadratic equations.
$4 m^{2}=36$

Rachel Mcbride

Numerade Educator

00:52

Problem 8

In the following exercises, solve the following quadratic equations.
$3n^{2}=48$

Rachel Mcbride

Numerade Educator

00:59

Problem 9

In the following exercises, solve the following quadratic equations.
$x^{2}+20=0$

Rachel Mcbride

Numerade Educator

00:54

Problem 10

In the following exercises, solve the following quadratic equations.
$y^{2}+64=0$

Rachel Mcbride

Numerade Educator

02:45

Problem 11

In the following exercises, solve the following quadratic equations.
$\frac{2}{5} a^{2}+3=11$

Rachel Mcbride

Numerade Educator

01:33

Problem 12

In the following exercises, solve the following quadratic equations.
$\frac{3}{2} b^{2}-7=41$

Rachel Mcbride

Numerade Educator

01:52

Problem 13

In the following exercises, solve the following quadratic equations.
$7 p^{2}+10=26$

Rachel Mcbride

Numerade Educator

01:53

Problem 14

In the following exercises, solve the following quadratic equations.
$2 q^{2}+5=30$

Rachel Mcbride

Numerade Educator

00:53

Problem 15

In the following exercises, solve the following quadratic equations.
$$
(x+2)^{2}=9
$$

Maurizia De Palma

Numerade Educator

01:49

Problem 16

In the following exercises, solve the following quadratic equations.
$$
(y-5)^{2}=36
$$

Rachel Mcbride

Numerade Educator

01:19

Problem 17

In the following exercises, solve the following quadratic equations.
$$
(u-6)^{2}=64
$$

Rachel Mcbride

Numerade Educator

01:22

Problem 18

In the following exercises, solve the following quadratic equations.
$$
(v+10)^{2}=121
$$

Rachel Mcbride

Numerade Educator

01:28

Problem 19

In the following exercises, solve the following quadratic equations.
$$
(m-6)^{2}=20
$$

Rachel Mcbride

Numerade Educator

01:47

Problem 20

In the following exercises, solve the following quadratic equations.
$$
(n+5)^{2}=32
$$

Rachel Mcbride

Numerade Educator

01:53

Problem 21

In the following exercises, solve the following quadratic equations.
$$
\left(r-\frac{1}{2}\right)^{2}=\frac{3}{4}
$$

Rachel Mcbride

Numerade Educator

01:30

Problem 22

In the following exercises, solve the following quadratic equations.
$$
\left(t-\frac{5}{6}\right)^{2}=\frac{11}{25}
$$

Rachel Mcbride

Numerade Educator

01:33

Problem 23

In the following exercises, solve the following quadratic equations.
$$
(a-7)^{2}+5=55
$$

Rachel Mcbride

Numerade Educator

01:40

Problem 24

In the following exercises, solve the following quadratic equations.
$$
(b-1)^{2}-9=39
$$

Rachel Mcbride

Numerade Educator

00:43

Problem 25

In the following exercises, solve the following quadratic equations.
$$
(5 c+1)^{2}=-27
$$

Rachel Mcbride

Numerade Educator

00:45

Problem 26

In the following exercises, solve the following quadratic equations.
$$
(8 d-6)^{2}=-24
$$

Rachel Mcbride

Numerade Educator

01:33

Problem 27

In the following exercises, solve the following quadratic equations.
$$
m^{2}-4 m+4=8
$$

Rachel Mcbride

Numerade Educator

01:14

Problem 28

In the following exercises, solve the following quadratic equations.
$$
n^{2}+8 n+16=27
$$

Rachel Mcbride

Numerade Educator

01:56

Problem 29

In the following exercises, solve the following quadratic equations.
$$
25 x^{2}-30 x+9=36
$$

Rachel Mcbride

Numerade Educator

01:31

Problem 30

In the following exercises, solve the following quadratic equations.
$$
9 y^{2}+12 y+4=9
$$

Rachel Mcbride

Numerade Educator

00:42

Problem 31

In the following exercises, solve using the Square Root Property.
$$
2 r^{2}=32
$$

Rachel Mcbride

Numerade Educator

00:44

Problem 32

In the following exercises, solve using the Square Root Property.
$$
4 t^{2}=16
$$

Rachel Mcbride

Numerade Educator

01:06

Problem 33

In the following exercises, solve using the Square Root Property.
$$
(a-4)^{2}=28
$$

Rachel Mcbride

Numerade Educator

00:59

Problem 34

In the following exercises, solve using the Square Root Property.
$$
(b+7)^{2}=8
$$

Rachel Mcbride

Numerade Educator

01:41

Problem 35

In the following exercises, solve using the Square Root Property.
$$
9 w^{2}-24 w+16=1
$$

Rachel Mcbride

Numerade Educator

01:37

Problem 36

In the following exercises, solve using the Square Root Property.
$$
4 z^{2}+4 z+1=49
$$

Rachel Mcbride

Numerade Educator

00:48

Problem 37

In the following exercises, solve using the Square Root Property.
$$
a^{2}-18=0
$$

Rachel Mcbride

Numerade Educator

01:10

Problem 38

In the following exercises, solve using the Square Root Property.
$$
b^{2}-108=0
$$

Rachel Mcbride

Numerade Educator

01:04

Problem 39

In the following exercises, solve using the Square Root Property.
$$
\left(p-\frac{1}{3}\right)^{2}=\frac{7}{9}
$$

Rachel Mcbride

Numerade Educator

00:50

Problem 40

In the following exercises, solve using the Square Root Property.
$$
\left(q-\frac{3}{5}\right)^{2}=\frac{3}{4}
$$

Rachel Mcbride

Numerade Educator

00:38

Problem 41

In the following exercises, solve using the Square Root Property.
$$
m^{2}+12=0
$$

Rachel Mcbride

Numerade Educator

00:45

Problem 42

In the following exercises, solve using the Square Root Property.
$$
n^{2}+48=0
$$

Rachel Mcbride

Numerade Educator

01:17

Problem 43

In the following exercises, solve using the Square Root Property.
$$
u^{2}-14 u+49=72
$$

Rachel Mcbride

Numerade Educator

01:11

Problem 44

In the following exercises, solve using the Square Root Property.
$$
v^{2}+18 v+81=50
$$

Rachel Mcbride

Numerade Educator

01:27

Problem 45

In the following exercises, solve using the Square Root Property.
$$
(m-4)^{2}+3=15
$$

Rachel Mcbride

Numerade Educator

01:02

Problem 46

In the following exercises, solve using the Square Root Property.
$$
(n-7)^{2}-8=64
$$

Rachel Mcbride

Numerade Educator

00:41

Problem 47

In the following exercises, solve using the Square Root Property.
$$
(x+5)^{2}=4
$$

Maurizia De Palma

Numerade Educator

00:57

Problem 48

In the following exercises, solve using the Square Root Property.
$$
(y-4)^{2}=64
$$

Rachel Mcbride

Numerade Educator

01:15

Problem 49

In the following exercises, solve using the Square Root Property.
$$
6 c^{2}+4=29
$$

Rachel Mcbride

Numerade Educator

01:03

Problem 50

In the following exercises, solve using the Square Root Property.
$$
2 d^{2}-4=77
$$

Rachel Mcbride

Numerade Educator

00:46

Problem 51

In the following exercises, solve using the Square Root Property.
$$
(x-6)^{2}+7=3
$$

Rachel Mcbride

Numerade Educator

00:42

Problem 52

In the following exercises, solve using the Square Root Property.
$$
(y-4)^{2}+10=9
$$

Rachel Mcbride

Numerade Educator

01:37

Problem 53

Paola has enough mulch to cover 48 square feet. She wants to use it to make three square vegetable gardens of equal sizes. Solve the equation $3 s^{2}=48$ to find $s,$ the length of each garden side.

Rachel Mcbride

Numerade Educator

00:57

Kathy is drawing up the blueprints for a house she is designing. She wants to have four square windows of equal size in the living room, with a total area of 64 square feet. Solve the equation $4 s^{2}=64$ to find $s,$ the length of the sides of the windows.

Rachel Mcbride

Numerade Educator

01:11

Problem 55

Explain why the equation $x^{2}+12=8$ has no solution.

Rachel Mcbride

Numerade Educator

00:52

Problem 56

Explain why the equation $y^{2}+8=12$ has two solutions.

Rachel Mcbride

Numerade Educator

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15

Problem 16

Problem 17

Problem 18

Problem 19

Problem 20

Problem 21

Problem 22

Problem 23

Problem 24

Problem 25

Problem 26

Problem 27

Problem 28

Problem 29

Problem 30

Problem 31

Problem 32

Problem 33

Problem 34

Problem 35

Problem 36

Problem 37

Problem 38

Problem 39

Problem 40

Problem 41

Problem 42

Problem 43

Problem 44

Problem 45

Problem 46

Problem 47

Problem 48

Problem 49

Problem 50

Problem 51

Problem 52

Problem 53

Problem 54

Problem 55

Problem 56