13.5.5E: Exercises
- Last updated
- Aug 13, 2020
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- 46232
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Practice Makes Perfect
Multiply Integers
In the following exercises, multiply.
Exercise 13.5.5E.55
−4⋅8
- Answer
-
-32
Exercise 13.5.5E.56
−3⋅9
Exercise 13.5.5E.57
9(−7)
- Answer
-
-63
Exercise 13.5.5E.58
13(−5)
Exercise 13.5.5E.59
−1⋅6
- Answer
-
-6
Exercise 13.5.5E.60
−1⋅3
Exercise 13.5.5E.61
−1(−14)
- Answer
-
14
Exercise 13.5.5E.62
−1(−19)
Divide Integers
In the following exercises, divide.
Exercise 13.5.5E.63
−24÷6
- Answer
-
-4
Exercise 13.5.5E.64
35÷(−7)
Exercise 13.5.5E.65
−52÷(−4)
- Answer
-
13
Exercise 13.5.5E.66
−84÷(−6)
Exercise 13.5.5E.67
−180÷15
- Answer
-
-12
Exercise 13.5.5E.68
−192÷12
Simplify Expressions with Integers
In the following exercises, simplify each expression.
Exercise 13.5.5E.69
5(−6)+7(−2)−3
- Answer
-
-47
Exercise 13.5.5E.70
8(−4)+5(−4)−6
Exercise 13.5.5E.71
(−2)6
- Answer
-
64
Exercise 13.5.5E.72
(−3)5
Exercise 13.5.5E.73
(−4)2
- Answer
-
-16
Exercise 13.5.5E.74
(−6)2
Exercise 13.5.5E.75
−3(−5)(6)
- Answer
-
90
Exercise 13.5.5E.76
−4(−6)(3)
Exercise 13.5.5E.77
(8−11)(9−12)
- Answer
-
9
Exercise 13.5.5E.78
(6−11)(8−13)
Exercise 13.5.5E.79
26−3(2−7)
- Answer
-
41
Exercise 13.5.5E.80
23−2(4−6)
Exercise 13.5.5E.81
65÷(−5)+(−28)÷(−7)
- Answer
-
-9
Exercise 13.5.5E.82
52÷(−4)+(−32)÷(−8)
Exercise 13.5.5E.83
9−2[3−8(−2)]
- Answer
-
-29
Exercise 13.5.5E.84
11−3[7−4(−20)]
Exercise 13.5.5E.85
(−3)2−24÷(8−2)
- Answer
-
5
Exercise 13.5.5E.86
(−4)2−32÷(12−4)
Evaluate Variable Expressions with Integers
In the following exercises, evaluate each expression.
Exercise 13.5.5E.87
y+(−14) when
- y=−33
- y=30
- Answer
-
- −47
- 16
Exercise 13.5.5E.88
x+(−21) when
- x=−27
- x=44
Exercise 13.5.5E.89
- a+3 when a=−7
- −a+3 when a=−7
- Answer
-
- −4
- 10
Exercise 13.5.5E.90
- d+(−9) when d=−8
- −d+(−9) when d=−8
Exercise 13.5.5E.91
m+n when
m=−15,n=7
- Answer
-
-8
Exercise 13.5.5E.92
p+q when
p=−9,q=17
Exercise 13.5.5E.93
r+s when r=−9,s=−7
- Answer
-
-16
Exercise 13.5.5E.94
t+u when t=−6,u=−5
Exercise 13.5.5E.95
(x+y)2 when
x=−3,y=14
- Answer
-
121
Exercise 13.5.5E.96
(y+z)2 when
y=−3, z=15
Exercise 13.5.5E.97
−2x+17 when
- x=8
- x=−8
- Answer
-
- 1
- 33
Exercise 13.5.5E.98
−5y+14 when
- y=9
- y=−9
Exercise 13.5.5E.99
10−3m when
- m=5
- m=−5
- Answer
-
- −5
- 25
Exercise 13.5.5E.100
18−4n when
- n=3
- n=−3
Exercise 13.5.5E.101
2w2−3w+7 when
w=−2
- Answer
-
21
Exercise 13.5.5E.102
3u2−4u+5
Exercise 13.5.5E.103
9a−2b−8 when
a=−6 and b=−3
- Answer
-
-56
Exercise 13.5.5E.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 13.5.5E.105
the sum of 3 and −15, increased by 7
- Answer
-
(3+(−15))+7;−5
Exercise 13.5.5E.106
the sum of −8 and −9, increased by 23
Exercise 13.5.5E.107
the difference of 10 and −18
- Answer
-
10−(−18);28
Exercise 13.5.5E.108
subtract 11 from −25
Exercise 13.5.5E.109
the difference of −5 and −30
- Answer
-
−5−(−30);25
Exercise 13.5.5E.110
subtract −6 from −13
Exercise 13.5.5E.111
the product of −3 and 15
- Answer
-
−3⋅15;−45
Exercise 13.5.5E.112
the product of −4 and 16
Exercise 13.5.5E.113
the quotient of −60 and −20
- Answer
-
−60÷(−20);3
Exercise 13.5.5E.114
the quotient of −40 and −20
Exercise 13.5.5E.115
the quotient of −6 and the sum of a and b
- Answer
-
−6a+b
Exercise 13.5.5E.116
the quotient of −6 and the sum of a and b
Exercise 13.5.5E.117
the product of −10 and the difference of p and q
- Answer
-
−10(p−q)
Exercise 13.5.5E.118
the product of −13 and the difference of c and d
Use Integers in Applications
In the following exercises, solve.
Exercise 13.5.5E.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 13.5.5E.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 13.5.5E.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 13.5.5E.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 13.5.5E.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 13.5.5E.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 13.5.5E.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 13.5.5E.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 13.5.5E.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 13.5.5E.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 13.5.5E.129
In your own words, state the rules for multiplying integers.
- Answer
-
Answers may vary
Exercise 13.5.5E.130
In your own words, state the rules for dividing integers.
Exercise 13.5.5E.131
Why is −24≠(−2)4?
- Answer
-
Answers may vary
Exercise 13.5.5E.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.
ⓑ 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?