Unit 7: Equations Study Guide
Learning Target: I can solve equations requiring one step to determine the value of a variable.
1.
Solve the equation for 𝑚 below.
6.EE.5, 6, 7
𝑚 + 49 = 97
2.
A.
𝑚 = 48
C.
𝑚 = 97
B.
𝑚 = 146
D.
𝑚 = 49
It takes Roxie 9 minutes longer to get to school on her school bus this year because of a new bus
route. It now takes Roxie 36 minutes. Solve the equation below to find 𝑛, the number of
minutes it took Roxie to get to school last year.
𝑛 + 9 = 36
3.
A.
𝑛=4
C.
𝑛 = 27
B.
𝑛 = 25
D.
𝑛 = 45
The number of M&Ms that Tom (t) has is 6 more than the number of M&Ms that Rachel (r) has.
If Tom has 24 M&Ms, then how many M&Ms does Rachel have?
Write an equation to represent this problem and then solve.
4.
A.
𝑟 + 6 = 24
𝑟 = 18
C.
𝑡 + 6 = 18
𝑡 = 18
B.
𝑟 − 6 = 24
𝑟 = 30
D.
𝑡 − 6 = 24
𝑡 = 30
Selma spends 17 hours playing video games per week, which is 5 more hours than her brother,
Dennis. This can be represented with the following equation:
𝑑 + 5 = 17
In this situation, what does 𝑑 represent?
A.
The number of hours Dennis and Selma spend playing video games together
B.
The number of hours Dennis and Selma spend playing video games in all
C.
The number of video games Dennis owns
D.
The number of hours Dennis spends playing video games
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Unit 7: Equations Study Guide
5.
Haley walked for 12 minutes, which was 3 minutes more than Marcus. This can be represented
by the following equation:
12 − 𝑚 = 3
In this situation, what does 𝑚 represent?
6.
7.
A.
How many minutes Marcus walked
B.
How many more minutes Haley walked than Marcus
C.
How many minutes Haley walked
D.
How many minutes Haley and Marcus walked altogether
Danny wants to buy a new iPod touch that costs $185. He has already saved $15. Which
equation represents the amount of money Danny still needs in order to buy the iPod touch?
A.
𝑡 − 15 = 185
C.
15 − 𝑡 = 185
B.
𝑡 + 15 = 185
D.
𝑡 = 15 + 185
Hunter is 12 years old. Hunter is 3 years younger than his cousin Kimberly. Solve the equation
that represents this situation to determine Kimberly’s age, where 𝑘 stands for Kimberly’s age.
𝑘 − 3 = 12
A.
𝑘=9
C.
𝑘 = 36
B.
𝑘 = 15
D.
𝑘=4
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Unit 7: Equations Study Guide
8.
Mr. Baxter had a fundraiser that 110 people attended. He seated the same number of people at
each of 22 tables.
Use the following equation to find 𝑛, the number of people at each table.
22𝑛 = 110
9.
A.
𝑛 = 2,420
B.
𝑛 = 10
C.
𝑛=6
D.
𝑛=5
Solve the following equation for 𝑥.
3𝑥 = 51
10.
11.
A.
𝑥 = 153
C.
𝑥 = 48
B.
𝑥 = 51
D.
𝑥 = 17
Ben rides his bike at a constant speed of 12 miles per hour. Which equation below could be used
to figure out how many hours it will take him to ride his bike 54 miles?
ℎ
A.
12 = 54ℎ
C.
54 = 12
B.
12 + ℎ = 54
D.
12ℎ = 54
Anthony stays afterschool for tutoring 3 times a week. If he has stayed for tutoring 24 times in
all, which equation could be used to find out how many weeks he has stayed for tutoring?
A.
𝑥 + 3 = 24
C.
B.
24 − 𝑥 = 3
D.
3𝑥 = 24
𝑥
3
= 24
Page 3 of 6
Unit 7: Equations Study Guide
12.
Jasmine gave away her stuffed animal collection to 3 of her younger cousins. Each cousin got 18
stuffed animals. To find the number of stuffed animals that Jasmine originally had, the equation
s
= 18 could be solved.
3
What does the variable 𝑠 represent?
13.
14.
A.
The number of stuffed animals each cousin received
B.
How many stuffed animals Jasmine had originally
C.
The number of cousins Jasmine shared her stuffed animals with
D.
How many stuffed animals Jasmine had left over
Spencer divided his baseball cards equally among 4 friends. Each friend received 16 cards. To
find the number of cards 𝑐 that Spencer had originally, the equation 𝑐 ÷ 4 = 16 can be solved.
Use the equation to determine how many baseball cards Spencer had originally.
A.
𝑐=4
C.
𝑐 = 64
B.
𝑐 = 32
D.
𝑐 = 72
Amanda shared her stamp collection with 4 friends. Each friend received 12 stamps. Which
equation shows how many stamps Amanda had originally?
A.
12 ÷ 4 = 𝑠
C.
𝑠 + 4 = 12
B.
4𝑠 = 12
D.
𝑠 ÷ 4 = 12
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Unit 7: Equations Study Guide
Learning Target: I can write inequalities to represent math problems, and represent solutions on a number line.
6.EE.8
15. Which number line below shows the inequality below?
𝑛 > 16
A.
B.
C.
D.
16.
Look at the inequalities below.
12𝑛 < 36
35 − 𝑛 > 34
Which answer choice shows a value for 𝑛 that makes both inequalities true?
17.
A.
𝑛=0
C.
𝑛=5
B.
𝑛=2
D.
𝑛 = 30
Determine the inequality below that would be represented by the number line shown.
A.
𝑏=8
C.
𝑏>8
B.
𝑏<8
D.
𝑏≤8
Page 5 of 6
Unit 7: Equations Study Guide
18.
Determine which of the following solutions is a possible solution for the inequality below.
𝑚+3>7
19
A.
𝑚=2
C.
𝑚=9
B.
𝑚=3
D.
𝑚=4
Which number line shows a graph of the inequality below?
𝑐−3≤7
A.
B.
C.
D.
20.
Which inequality has a solution set represented by the graph below?
A.
−2 < 𝑥
C.
−2 ≤ 𝑥
B.
−2 > 𝑥
D.
2≥𝑥
Page 6 of 6