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1.5E: Exercises

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Practice Makes Perfect

Multiply Integers

In the following exercises, multiply.

Exercise 1.5E.55

48

Answer

-32

Exercise 1.5E.56

39

Exercise 1.5E.57

9(7)

Answer

-63

Exercise 1.5E.58

13(5)

Exercise 1.5E.59

16

Answer

-6

Exercise 1.5E.60

13

Exercise 1.5E.61

1(14)

Answer

14

Exercise 1.5E.62

1(19)

Divide Integers

In the following exercises, divide.

Exercise 1.5E.63

24÷6

Answer

-4

Exercise 1.5E.64

35÷(7)

Exercise 1.5E.65

52÷(4)

Answer

13

Exercise 1.5E.66

84÷(6)

Exercise 1.5E.67

180÷15

Answer

-12

Exercise 1.5E.68

192÷12

Simplify Expressions with Integers

In the following exercises, simplify each expression.

Exercise 1.5E.69

5(−6)+7(−2)−3

Answer

-47

Exercise 1.5E.70

8(−4)+5(−4)−6

Exercise 1.5E.71

(2)6

Answer

64

Exercise 1.5E.72

(3)5

Exercise 1.5E.73

(4)2

Answer

-16

Exercise 1.5E.74

(6)2​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​

Exercise 1.5E.75

−3(−5)(6)

Answer

90

Exercise 1.5E.76

−4(−6)(3)

Exercise 1.5E.77

(8−11)(9−12)

Answer

9

Exercise 1.5E.78

(6−11)(8−13)

Exercise 1.5E.79

26−3(2−7)

Answer

41

Exercise 1.5E.80

23−2(4−6)

Exercise 1.5E.81

65÷(5)+(28)÷(7)

Answer

-9

Exercise 1.5E.82

52÷(4)+(32)÷(8)

Exercise 1.5E.83

9−2[3−8(−2)]

Answer

-29

Exercise 1.5E.84

11−3[7−4(−20)]

Exercise 1.5E.85

(3)224÷(82)

Answer

5

Exercise 1.5E.86

(4)232÷(124)

Evaluate Variable Expressions with Integers

In the following exercises, evaluate each expression.

Exercise 1.5E.87

y+(−14) when

  1. y=−33
  2. y=30
Answer
  1. −47
  2. 16
Exercise 1.5E.88

x+(−21) when

  1. x=−27
  2. x=44
Exercise 1.5E.89
  1. a+3 when a=−7
  2. −a+3 when a=−7
Answer
  1. −4
  2. 10
Exercise 1.5E.90
  1. d+(−9) when d=−8
  2. −d+(−9) when d=−8
Exercise 1.5E.91

m+n when
m=−15,n=7

Answer

-8

Exercise 1.5E.92

p+q when
p=−9,q=17

Exercise 1.5E.93

r+s when r=−9,s=−7

Answer

-16

Exercise 1.5E.94

t+u when t=−6,u=−5

Exercise 1.5E.95

(x+y)2 when
x=−3,y=14

Answer

121

Exercise 1.5E.96

(y+z)2 when
y=−3, z=15

Exercise 1.5E.97

−2x+17 when

  1. x=8
  2. x=−8
Answer
  1. 1
  2. 33
Exercise 1.5E.98

−5y+14 when

  1. y=9
  2. y=−9
Exercise 1.5E.99

10−3m when

  1. m=5
  2. m=−5
Answer
  1. −5
  2. 25
Exercise 1.5E.100

18−4n when

  1. n=3
  2. n=−3
Exercise 1.5E.101

2w23w+7 when
w=−2

Answer

21

Exercise 1.5E.102

3u24u+5

Exercise 1.5E.103

9a−2b−8 when
a=−6 and b=−3

Answer

-56

Exercise 1.5E.104

7m−4n−2 when
m=−4 and n=−9

​​​​​Translate English Phrases to Algebraic Expressions

In the following exercises, translate to an algebraic expression and simplify if possible.

Exercise 1.5E.105

the sum of 3 and −15, increased by 7

Answer

(3+(−15))+7;−5

Exercise 1.5E.106

the sum of −8 and −9, increased by 23

Exercise 1.5E.107

the difference of 10 and −18

Answer

10−(−18);28

Exercise 1.5E.108

subtract 11 from −25

Exercise 1.5E.109

the difference of −5 and −30

Answer

−5−(−30);25

Exercise 1.5E.110

subtract −6 from −13

Exercise 1.5E.111

the product of −3 and 15

Answer

315;−45

Exercise 1.5E.112

the product of −4 and 16

Exercise 1.5E.113

the quotient of −60 and −20

Answer

60÷(20);3

Exercise 1.5E.114

the quotient of −40 and −20

Exercise 1.5E.115

the quotient of −6 and the sum of a and b

Answer

6a+b

Exercise 1.5E.116

the quotient of −6 and the sum of a and b

Exercise 1.5E.117

the product of −10 and the difference of p and q

Answer

−10(p−q)

Exercise 1.5E.118

the product of −13 and the difference of c and d

​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​Use Integers in Applications

In the following exercises, solve.

Exercise 1.5E.119

Temperature On January 15, the high temperature in Anaheim, California, was 84°. That same day, the high temperature in Embarrass, Minnesota was −12°. What was the difference between the temperature in Anaheim and the temperature in Embarrass?

Answer

96°

Exercise 1.5E.120

Temperature On January 21, the high temperature in Palm Springs, California, was 89°, and the high temperature in Whitefield, New Hampshire was −31°. What was the difference between the temperature in Palm Springs and the temperature in Whitefield?

Exercise 1.5E.121

Football At the first down, the Chargers had the ball on their 25 yard line. On the next three downs, they lost 6 yards, gained 10 yards, and lost 8 yards. What was the yard line at the end of the fourth down?

Answer

21

Exercise 1.5E.122

Football At the first down, the Steelers had the ball on their 30 yard line. On the next three downs, they gained 9 yards, lost 14 yards, and lost 2 yards. What was the yard line at the end of the fourth down?

Exercise 1.5E.123

Checking Account Mayra has $124 in her checking account. She writes a check for $152. What is the new balance in her checking account?

Answer​​​​​​​

−$28

Exercise 1.5E.124

Checking Account Selina has $165 in her checking account. She writes a check for $207. What is the new balance in her checking account?

Exercise 1.5E.125

Checking Account Diontre has a balance of −$38 in his checking account. He deposits $225 to the account. What is the new balance?

Answer

$187

Exercise 1.5E.126

Checking Account Reymonte has a balance of −$49 in his checking account. He deposits $281 to the account. What is the new balance?

Everyday Math

​​​​​​​

Exercise 1.5E.127

Stock market Javier owns 300 shares of stock in one company. On Tuesday, the stock price dropped $12 per share. What was the total effect on Javier’s portfolio?

Answer

Weight loss In the first week of a diet program, eight women lost an average of 3 pounds each. What was the total weight change for the eight women?

Exercise 1.5E.128

Weight loss In the first week of a diet program, eight women lost an average of 3 pounds each. What was the total weight change for the eight women?

Writing Exercises

Exercise 1.5E.129

In your own words, state the rules for multiplying integers.

Answer

Answers may vary

Exercise 1.5E.130

In your own words, state the rules for dividing integers.

Exercise 1.5E.131

Why is 24(2)4?

Answer

Answers may vary

Exercise 1.5E.132

Why is 43(4)3?​​​​​​

Self Check

ⓐ After completing the exercises, use this checklist to evaluate your mastery of the objectives of this section.

A table is shown that is composed of four columns and seven rows. The titles of the columns are “I can …”, “Confidently”, “With some help” and “No – I don’t get it!”. The first column reads “multiple integers.”, “divide integers.”, “simplify expressions with integers.”, “evaluate variable expressions with integers.”, “translate English phrases to algebraic expressions.” and “use integers in applications.”

ⓑ On a scale of 1–10, how would you rate your mastery of this section in light of your responses on the checklist? How can you improve this?

​​​​​​​


This page titled 1.5E: Exercises is shared under a not declared license and was authored, remixed, and/or curated by Chau D Tran.

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