PreStatistics

Donald Davis, Bill Armstrong, Mike McCraith

Chapter 2

Algebraic Expressions Used in Statistics and Basics of Solving Equations - all with Video Answers

Educators

Section 1

Translating English to Algebra: Expressions, Equations, and Inequalities

Problem 1

Classify each of the items as an algebraic expression or an equation. Then identify the variables, coefficients, and constants.
$$z=-2.58$$

SS

Shraddha Sharma

Numerade Educator

Problem 2

Classify each of the items as an algebraic expression or an equation. Then identify the variables, coefficients, and constants.
$$s=1.93$$

Kimberly Konzack

Kimberly Konzack

Numerade Educator

Problem 3

Classify each of the items as an algebraic expression or an equation. Then identify the variables, coefficients, and constants.
$$\frac{9.3+x}{3}$$

Kimberly Konzack

Kimberly Konzack

Numerade Educator

Problem 4

Classify each of the items as an algebraic expression or an equation. Then identify the variables, coefficients, and constants.
$$\frac{3.95+u}{2}$$

Kimberly Konzack

Kimberly Konzack

Numerade Educator

Problem 5

Classify each of the items as an algebraic expression or an equation. Then identify the variables, coefficients, and constants.
$$\frac{3.95 q}{37}$$

Kimberly Konzack

Kimberly Konzack

Numerade Educator

Problem 6

Classify each of the items as an algebraic expression or an equation. Then identify the variables, coefficients, and constants.
$$2.58=\frac{2.03-m}{0.19}$$

Kimberly Konzack

Kimberly Konzack

Numerade Educator

Problem 7

Classify each of the items as an algebraic expression or an equation. Then identify the variables, coefficients, and constants.
$$-1.645=\frac{x-44.5}{9.3}$$

AG

Ankit Gupta

Numerade Educator

Problem 8

Classify each of the items as an algebraic expression or an equation. Then identify the variables, coefficients, and constants.
$$2.58=\frac{2.03-m}{0.19}$$

Kimberly Konzack

Kimberly Konzack

Numerade Educator

Problem 9

Classify each of the items as an algebraic expression or an equation. Then identify the variables, coefficients, and constants.
$$\frac{(2.575) \cdot(s)}{1.02}$$

SS

Shraddha Sharma

Numerade Educator

Problem 10

Classify each of the items as an algebraic expression or an equation. Then identify the variables, coefficients, and constants.
$$\frac{(n-1) \cdot 25.66}{3.841}$$

Kimberly Konzack

Kimberly Konzack

Numerade Educator

Problem 11

Translate each of the sentences into an algebraic equation. Do not solve the equations.
Five added to $z$ is equal to 68 .

Geno Ellis

Numerade Educator

Problem 12

Translate each of the sentences into an algebraic equation. Do not solve the equations.
16 increased by $x$ is 58

Amy Jiang

Numerade Educator

Problem 13

Translate each of the sentences into an algebraic equation. Do not solve the equations.
42 is $m$ less 14.5

James Kiss

Numerade Educator

Problem 14

Translate each of the sentences into an algebraic equation. Do not solve the equations.
$s$ less 12.6 is 35.5

James Kiss

Numerade Educator

Problem 15

Translate each of the sentences into an algebraic equation. Do not solve the equations.
The quotient of 15 and $n$ yields 3.5

Susan Cooper

Numerade Educator

Problem 16

Translate each of the sentences into an algebraic equation. Do not solve the equations.
The quotient of $s$ and 38 yields 0.14

Patrick Burns

Numerade Educator

Problem 17

Translate each of the sentences into an algebraic equation. Do not solve the equations.
The sum of $m$ and 2.33 multiplied by $s$ is 55.23 .

Shahab Ullah

Numerade Educator

Problem 18

Translate each of the sentences into an algebraic equation. Do not solve the equations.
The sum of 35.4 and $z$ multiplied by 6.8 is 51.24

Geno Ellis

Numerade Educator

Problem 19

Translate each of the sentences into an algebraic equation. Do not solve the equations.
The difference $x$ minus 21.6 then divided by 2.3 yields -1.65

James Kiss

Numerade Educator

Problem 20

Translate each of the sentences into an algebraic equation. Do not solve the equations.
The difference 1035 minus $\mu$ then divided by 43.1 yields 0.68 .

Julie Silva

Numerade Educator

Problem 21

Replace the box $\square$ with $<$ or $>$ to make a true statement.
$$4.5 \square 0.45$$

Supratim Roy

Numerade Educator

Problem 22

Replace the box $\square$ with $<$ or $>$ to make a true statement.
$$16.3 \square 1.63$$

Supratim Roy

Numerade Educator

Problem 23

Replace the box $\square$ with $<$ or $>$ to make a true statement.
$$-2.3 \square-2.03$$

Noraney Ocampo

Numerade Educator

Problem 24

Replace the box $\square$ with $<$ or $>$ to make a true statement.
$$-1.65 \square-1.645$$

Supratim Roy

Numerade Educator

Problem 25

Replace the box $\square$ with $<$ or $>$ to make a true statement.
$$\frac{1}{3} \square 0.3$$

Carson Merrill

Numerade Educator

Problem 26

Replace the box $\square$ with $<$ or $>$ to make a true statement.
$$\frac{1}{5} \square 0.21$$

Lynn Larson

Numerade Educator

Problem 27

Replace the box $\square$ with $<$ or $>$ to make a true statement.
$$2 E-2 \square 0.03$$

Noraney Ocampo

Numerade Educator

Problem 28

Replace the box $\square$ with $<$ or $>$ to make a true statement.
$$0.004 \square 3 E-3$$

Noraney Ocampo

Numerade Educator

Problem 29

Replace the box $\square$ with $<$ or $>$ to make a true statement.
$$-8 E-5 \square 0.0008$$

Lynn Larson

Numerade Educator

Problem 30

Replace the box $\square$ with $<$ or $>$ to make a true statement.
$$-6 E-5 \square-0.0006$$

Lynn Larson

Numerade Educator

Problem 31

Classify each of the inequalities as true or false.
$$-6.01 \leq-6.1$$

Ben Thatcher

Numerade Educator

Problem 32

Classify each of the inequalities as true or false.
$$-5.5 \leq-5.05$$

Ben Thatcher

Numerade Educator

Problem 33

Classify each of the inequalities as true or false.
$$\frac{1}{5} \geq 0.2$$

Ben Thatcher

Numerade Educator

Problem 34

Classify each of the inequalities as true or false.
$$\frac{3}{10} \geq 0.3$$

Julie Silva

Numerade Educator

Problem 35

Classify each of the inequalities as true or false.
$$0.44 \leq \frac{4}{9}$$

Suman Saurav Thakur

Suman Saurav Thakur

Numerade Educator

Problem 36

Classify each of the inequalities as true or false.
$$0.88 \leq \frac{8}{9}$$

Suman Saurav Thakur

Suman Saurav Thakur

Numerade Educator

Problem 37

Classify each of the inequalities as true or false.
$$3 E-3 \geq 0.00003$$

Julie Silva

Numerade Educator

Problem 38

Classify each of the inequalities as true or false.
$$8 E-5 \geq 0.0008$$

Ben Thatcher

Numerade Educator

Problem 39

Classify each of the inequalities as true or false.
$$-3.5 E-3 \leq 0.0035$$

Ben Thatcher

Numerade Educator

Problem 40

Classify each of the inequalities as true or false.
$$-7.2 E-2 \leq 0.072$$

Suman Saurav Thakur

Suman Saurav Thakur

Numerade Educator

Problem 41

Consider a variable $x$ where $x$ represents the whole numbers from 0 to 20. Stated mathematically, the possible values of $x$ are $$x=0,1,2, \ldots, 19,20$$ For each of the phrases, write an inequality and then determine which values satisfy that inequality. $x$ is less than 3

Carson Merrill

Numerade Educator

Problem 42

Consider a variable $x$ where $x$ represents the whole numbers from 0 to 20. Stated mathematically, the possible values of $x$ are $$x=0,1,2, \ldots, 19,20$$ For each of the phrases, write an inequality and then determine which values satisfy that inequality.
$x$ is less than 8

M S

Numerade Educator

Problem 43

Consider a variable $x$ where $x$ represents the whole numbers from 0 to 20. Stated mathematically, the possible values of $x$ are $$x=0,1,2, \ldots, 19,20$$ For each of the phrases, write an inequality and then determine which values satisfy that inequality.
$x$ is at most 9

Edward Downes

Numerade Educator

Problem 44

Consider a variable $x$ where $x$ represents the whole numbers from 0 to 20. Stated mathematically, the possible values of $x$ are $$x=0,1,2, \ldots, 19,20$$ For each of the phrases, write an inequality and then determine which values satisfy that inequality.
$x$ is at most 4

Carson Merrill

Numerade Educator

Problem 45

Consider a variable $x$ where $x$ represents the whole numbers from 0 to 20. Stated mathematically, the possible values of $x$ are $$x=0,1,2, \ldots, 19,20$$ For each of the phrases, write an inequality and then determine which values satisfy that inequality.
$x$ is more than 15

Carson Merrill

Numerade Educator

Problem 46

Consider a variable $x$ where $x$ represents the whole numbers from 0 to 20. Stated mathematically, the possible values of $x$ are $$x=0,1,2, \ldots, 19,20$$ For each of the phrases, write an inequality and then determine which values satisfy that inequality.
$x$ is more than 19

Amrita Bhasin

Numerade Educator

Problem 47

Consider a variable $x$ where $x$ represents the whole numbers from 0 to 20. Stated mathematically, the possible values of $x$ are $$x=0,1,2, \ldots, 19,20$$ For each of the phrases, write an inequality and then determine which values satisfy that inequality.
$x$ is at least 14

Carson Merrill

Numerade Educator

Problem 48

Consider a variable $x$ where $x$ represents the whole numbers from 0 to 20. Stated mathematically, the possible values of $x$ are $$x=0,1,2, \ldots, 19,20$$ For each of the phrases, write an inequality and then determine which values satisfy that inequality.
$x$ is at least 12

Carson Merrill

Numerade Educator

Problem 49

Consider a variable $x$ where $x$ represents the whole numbers from 0 to 20. Stated mathematically, the possible values of $x$ are $$x=0,1,2, \ldots, 19,20$$ For each of the phrases, write an inequality and then determine which values satisfy that inequality.
$x$ is at most 10

Suman Saurav Thakur

Suman Saurav Thakur

Numerade Educator

Problem 50

Consider a variable $x$ where $x$ represents the whole numbers from 0 to 20. Stated mathematically, the possible values of $x$ are $$x=0,1,2, \ldots, 19,20$$ For each of the phrases, write an inequality and then determine which values satisfy that inequality.
$x$ is at least 10

Suman Saurav Thakur

Suman Saurav Thakur

Numerade Educator

Problem 51

Consider a variable $r$ where $r$ represents the whole numbers from 1 to 15. Stated mathematically, the possible values of $r$ are $$r=1,2, \ldots, 14,15$$ Determine which values satisfy the given compound inequalities.
$$2<r<6$$

Brandon Fox

Numerade Educator

Problem 52

Consider a variable $r$ where $r$ represents the whole numbers from 1 to 15. Stated mathematically, the possible values of $r$ are $$r=1,2, \ldots, 14,15$$ Determine which values satisfy the given compound inequalities.
$$5<r<10$$

Heather Zimmers

Heather Zimmers

Numerade Educator

Problem 53

Consider a variable $r$ where $r$ represents the whole numbers from 1 to 15. Stated mathematically, the possible values of $r$ are $$r=1,2, \ldots, 14,15$$ Determine which values satisfy the given compound inequalities.
$$2 \leq r \leq 6$$

Brandon Fox

Numerade Educator

Problem 54

Consider a variable $r$ where $r$ represents the whole numbers from 1 to 15. Stated mathematically, the possible values of $r$ are $$r=1,2, \ldots, 14,15$$ Determine which values satisfy the given compound inequalities.
$$5 \leq r \leq 10$$

Jose Avalos

Numerade Educator

Problem 55

Consider a variable $r$ where $r$ represents the whole numbers from 1 to 15. Stated mathematically, the possible values of $r$ are $$r=1,2, \ldots, 14,15$$ Determine which values satisfy the given compound inequalities.
$$10 \leq r \leq 15$$

Heather Zimmers

Heather Zimmers

Numerade Educator

Problem 56

Consider a variable $r$ where $r$ represents the whole numbers from 1 to 15. Stated mathematically, the possible values of $r$ are $$r=1,2, \ldots, 14,15$$ Determine which values satisfy the given compound inequalities.
$$1 \leq r \leq 3$$

Lauren Shelton

Numerade Educator

Problem 57

Consider a variable $r$ where $r$ represents the whole numbers from 1 to 15. Stated mathematically, the possible values of $r$ are $$r=1,2, \ldots, 14,15$$ Determine which values satisfy the given compound inequalities.
$$10<r<15$$

Heather Zimmers

Heather Zimmers

Numerade Educator

Problem 58

Consider a variable $r$ where $r$ represents the whole numbers from 1 to 15. Stated mathematically, the possible values of $r$ are $$r=1,2, \ldots, 14,15$$ Determine which values satisfy the given compound inequalities.
$$1<r<3$$

Heather Zimmers

Heather Zimmers

Numerade Educator

Problem 59

Consider a variable $r$ where $r$ represents the whole numbers from 1 to 15. Stated mathematically, the possible values of $r$ are $$r=1,2, \ldots, 14,15$$ Determine which values satisfy the given compound inequalities.
$$4<r<8$$

Heather Zimmers

Heather Zimmers

Numerade Educator

Problem 60

Consider a variable $r$ where $r$ represents the whole numbers from 1 to 15. Stated mathematically, the possible values of $r$ are $$r=1,2, \ldots, 14,15$$ Determine which values satisfy the given compound inequalities.
$$4 \leq r \leq 8$$

Heather Zimmers

Heather Zimmers

Numerade Educator