Prealgebra

Lynn Marecek, MaryAnne Anthony-Smith

Chapter 3

Integers

Educators

GL

Problem 1

Locate and label the given points on a number line.
a. 2
b. ?2
c. ?5

Karuna R.
Numerade Educator

Problem 2

Locate and label the given points on a number line.
a. 5
b. ?5
c. ?2

Karuna R.
Numerade Educator

Problem 3

Locate and label the given points on a number line.
a. ?8
b. 8
c. ?6

Karuna R.
Numerade Educator

Problem 4

Locate and label the given points on a number line.
a. ?7
b. 7
c. ?1

Karuna R.
Numerade Educator

Problem 5

order each of the following pairs of numbers, using < or >.
a. 9__4
b. ?3__6
c. ?8__?2
d. 1__?10

Karuna R.
Numerade Educator

Problem 6

Order each of the following pairs of numbers, using < or >.
a. 6__2;
b. ?7__4;
c. ?9__?1;
d. 9__?3

Karuna R.
Numerade Educator

Problem 7

Order each of the following pairs of numbers, using < or >.
a. ?5__1;
b. ?4__?9;
c. 6__10;
d. 3__?8

Karuna R.
Numerade Educator

Problem 8

Order each of the following pairs of numbers, using < or >.
a. ?7__3;
b. ?10__?5;
c. 2__?6;
d. 8__9

Karuna R.
Numerade Educator

Problem 9

Find the opposite of each number.
a. 2
b. ?6

Karuna R.
Numerade Educator

Problem 10

Find the opposite of each number.
a. 9
b. ?4

Karuna R.
Numerade Educator

Problem 11

Find the opposite of each number.
a. ?8
b. 1

Karuna R.
Numerade Educator

Problem 12

Find the opposite of each number.
a. ?2
b. 6

Karuna R.
Numerade Educator

Problem 13

Simplify.
$-(-4)$

Karuna R.
Numerade Educator

Problem 14

Simplify.
$-(-8)$

Karuna R.
Numerade Educator

Problem 15

Simplify.
$-(-15)$

Karuna R.
Numerade Educator

Problem 16

Simplify.
$-(-11)$

Karuna R.
Numerade Educator

Problem 17

Evaluate.
$?m$ when
a. $m = 3$
b. $m = ?3$

Karuna R.
Numerade Educator

Problem 18

Evaluate.
$-p$ when
a. $p=6$
b. $p=-6$

Karuna R.
Numerade Educator

Problem 19

Evaluate.
$?c$ when
a. $c = 12$
b. $c = ?12$

Karuna R.
Numerade Educator

Problem 20

Evaluate.
$?d$ when
a. $d = 21$
b. $d = ?21$

Karuna R.
Numerade Educator

Problem 21

Simplify each absolute value expression.
(a) $|7|$
(b) $|-25|$
(c) $|0|$

GL
Gabriela L.
Numerade Educator

Problem 22

Simplify each absolute value expression.
(a) $|5|$
(b) $|20|$
(c) $|-19|$

Karuna R.
Numerade Educator

Problem 23

Simplify each absolute value expression.
(a) $|-31|$
(b) $|-18|$
(c) $|16|$

Karuna R.
Numerade Educator

Problem 24

Simplify each absolute value expression.
(a) $|-41|$
(b) $|-40|$
(c) $|22|$

Karuna R.
Numerade Educator

Problem 25

Evaluate each absolute value expression.
(a) $|x|$ when $x=-28$
( b) $|-u|$ when $u=-15$

Karuna R.
Numerade Educator

Problem 26

Evaluate each absolute value expression.
(a) $|y|$ when $y=-37$
(b) $|-z|$ when $z=-24$

Karuna R.
Numerade Educator

Problem 27

Evaluate each absolute value expression.
(a) $-|p|$ when $p=19$
(b) $-|q|$ when $q=-33$

Karuna R.
Numerade Educator

Problem 28

Evaluate each absolute value expression.
(a) $-|a|$ when $a=60$
(b) $-|b|$ when $b=-12$

Karuna R.
Numerade Educator

Problem 29

Fill in $<,>,$ or $=$ to compare each expression.
a. ?6__|?6|
b. ? |?3|__?3

Karuna R.
Numerade Educator

Problem 30

Fill in $<,>,$ or $=$ to compare each expression.
a. ?8__|?8|
b. ? |?2|__?2

Karuna R.
Numerade Educator

Problem 31

Fill in $<,>,$ or $=$ to compare each expression.
a. |?5|__ ? |?5|
b. 9__ ? |?9|

Karuna R.
Numerade Educator

Problem 31

Fill in $<,>,$ or $=$ to compare each expression.
a. |?3|__ ? |?3|
b. 4__ ? |?4|

Karuna R.
Numerade Educator

Problem 33

Simplify each expression.
$|8-4|$

Karuna R.
Numerade Educator

Problem 34

Simplify each expression.
$|9-6|$

Karuna R.
Numerade Educator

Problem 35

Simplify each expression.
8$|-7|$

Karuna R.
Numerade Educator

Problem 36

Simplify each expression.
5$|-5|$

Karuna R.
Numerade Educator

Problem 37

Simplify each expression.
$|15-7|-|14-6|$

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Numerade Educator

Problem 38

Simplify each expression.
$|17-8|-|13-4|$

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Numerade Educator

Problem 39

Simplify each expression.
$18-|2(8-3)|$

Karuna R.
Numerade Educator

Problem 40

Simplify each expression.
$15-|3(8-5)|$

Karuna R.
Numerade Educator

Problem 41

Simplify each expression.
8$(14-2|-2|)$

Karuna R.
Numerade Educator

Problem 42

Simplify each expression.
6$(13-4|-2|)$

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Numerade Educator

Problem 43

Translate each phrase into an expression with integers. Do not simplify.
a the opposite of 8
b the opposite of ?6
c negative three
d 4 minus negative 3

Karuna R.
Numerade Educator

Problem 44

Translate each phrase into an expression with integers. Do not simplify.
a the opposite of 11
b the opposite of ?4
c negative nine
d 8 minus negative 2

Karuna R.
Numerade Educator

Problem 45

Translate each phrase into an expression with integers. Do not simplify.
a the opposite of 20
b the opposite of ?5
c negative twelve
d 18 minus negative 7

Karuna R.
Numerade Educator

Problem 46

Translate each phrase into an expression with integers. Do not simplify.
a the opposite of 15
b the opposite of ?9
c negative sixty
d 12 minus 5

Karuna R.
Numerade Educator

Problem 47

Translate each phrase into an expression with integers. Do not simplify.
a temperature of 6 degrees below zero

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Numerade Educator

Problem 48

Translate each phrase into an expression with integers. Do not simplify.
a temperature of 14 degrees below zero

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Numerade Educator

Problem 49

Translate each phrase into an expression with integers. Do not simplify.
an elevation of 40 feet below sea level

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Numerade Educator

Problem 50

Translate each phrase into an expression with integers. Do not simplify.
an elevation of 65 feet below sea level

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Numerade Educator

Problem 51

Translate each phrase into an expression with integers. Do not simplify.
a football play loss of 12 yards

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Numerade Educator

Problem 52

Translate each phrase into an expression with integers. Do not simplify.
a football play gain of 4 yards

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Numerade Educator

Problem 53

Translate each phrase into an expression with integers. Do not simplify.
a stock gain of $3

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Numerade Educator

Problem 54

Translate each phrase into an expression with integers. Do not simplify.
a stock loss of $5

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Numerade Educator

Problem 55

Translate each phrase into an expression with integers. Do not simplify.
a golf score one above par

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Numerade Educator

Problem 56

Translate each phrase into an expression with integers. Do not simplify.
a golf score of 3 below par

Karuna R.
Numerade Educator

Problem 57

Elevation The highest elevation in the United States is Mount McKinley, Alaska, at 20,320 feet above sea level. The lowest elevation is Death Valley, California, at 282 feet below sea level. Use integers to write the elevation of:
a. Mount McKinley
b. Death Valley

Karuna R.
Numerade Educator

Problem 58

Extreme temperatures The highest recorded a temperature on Earth is $58^{\circ}$ Celsius, recorded in the Sahara Desert in 1922 . The lowest recorded e temperature is $90^{\circ}$ below $0^{\circ}$ Celsius, recorded in Antarctica in $1983 .$ Use integers to write the:
a. highest recorded temperature
b. lowest recorded temperature

Karuna R.
Numerade Educator

Problem 59

State budgets In June, 2011 , the state of Pennsylvania estimated it would have a budget surplus of $\$ 540$ million. That same month, Texas estimated it would have a budget deficit of $\$ 27$ billion. Use
a. surplus
b. deficit

Karuna R.
Numerade Educator

Problem 60

College enrollments Across the United States, community college enrollment grew by 1,400,000 students from 2007 to 2010. In California, community college enrollment declined by 110,171 students from 2009 to 2010. Use integers to write the change in enrollment:
a. growth
b. decline

Karuna R.
Numerade Educator

Problem 61

Give an example of a negative number from your life experience.

Karuna R.
Numerade Educator

Problem 62

What are the three uses of the $"_{-}^{m}$ sign in algebra? Explain how they differ.

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