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REVIEW FOR UNIT 6 TEST

Total questions: 143

Worksheet time: 6hrs 13mins

Name
Class
Date
1.
y + 8 = 20
a)
10
b)
11
c)
12
d)
13
2.
k - 10 = 7
a)
-3
b)
3
c)
17
d)
- 17
3.

x/12 = 2

a)

6

b)

12

c)

36

d)

24

4.

12x = 144

a)

x = 12

b)

x = 4

c)

x = 2

d)

x = 132

5.
Which equation has x = 2 as a solution?
a)
3 + x = 10
b)
11 + x = 13
c)
4x = 32
d)
5x =25
6.

Solve:

4x = 24

a)

20

b)

15

c)

5

d)

6

7.

What is the solution of 9 + k = 18

a)

18

b)

9

c)

8

d)

7

8.

What is the solution of 13 = t + 7

a)

5

b)

6

c)

7

d)

20

9.

What is the solution of r - 11 = 5

a)

11

b)

14

c)

15

d)

16

10.
x - 32 = 49
a)
x = 17
b)
x = 71
c)
x = 81
d)
x = 49
11.

5x = 25

a)

6

b)

5

c)

4

d)

50

12.

19 = 14 + t

a)

10

b)

18

c)

19

d)

5

13.

After paying $8.24 for a sandwich,Amanda has $7.71. With how much money did she start?

a)

$17.55

b)

$24.19

c)

$15.95

d)

$0.50

14.

12 = n - 9

a)

12

b)

21

c)

211

d)

65

15.

I won 70 stickers. I gave 1 to each student. I have 54 left. How many did I give away?

a)

16

b)

38

c)

40

d)

73

16.

n + 3.5 = 6.7

a)

n = 3.2

b)

n = 10.2

17.

7.4 = n - 2.6

a)

n = 4.8

b)

n = 10

c)

4.8

d)

10

18.

What is the goal when solving algebraic equations?

a)

to get the answer

b)

to isolate the variable (get the variable by itself)

c)

to get rid of the equal sign

d)

to divide

19.

q + 10 = 22

a)

32

b)

q = 12

c)

12

d)

q = 32

20.

7r = 56

a)

r = 8

b)

r = 392

c)

r = 7

d)

r = 56

21.

k/4 = 8

a)

k = 2

b)

k = 32

c)

k = 24

d)

k = 8

22.

4.5w = 22.5

a)

w = 101.25

b)

w = 3

c)

w = 5

d)

w = 18

23.

y/3.75 = 10

a)

y = 0.375

b)

y = 2.7

c)

none of these

d)

y = 37.5

24.

12p = 72

a)

p = 864

b)

p = 60

c)

p = 6

d)

p = 84

25.

CHALLENGE:

2/7w = 3/4

a)

w = 21/8 or 2 5/8

b)

w = 6/28

c)

w = 3/4

d)

w = 8/21

26.
Solve for x:
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
27.
How would you solve the equation?
5x = 30
a)
Subtract 5 from both sides
b)
Subtract 30 from both sides
c)
Multiply both sides by 5
d)
Divide both sides by 5
28.
How would you solve the equation?
36 = 9 + m
a)
Subtract 9 from both sides
b)
Add 9 to both sides
c)
Multiply both sides by 9
d)
Divide both sides by 9
29.
How would you solve the equation?
38 = m - 15
a)
Subtract 15 from both sides
b)
Add 15 to both sides
c)
Multiply both sides by 15
d)
Divide both sides by 15
30.

How would you solve the equation?
3 = d17\frac{\text{d}}{\text{17}}  

a)

Divide both sides by 17

b)

Add 3 to both sides

c)

Multiply both sides by 3

d)

Multiply both sides by 17

31.
Pick the correct inequality.
a)
A
b)
B
c)
C
d)
D
32.
Will my dot be colored in?
5 ≥ x
a)
Yes
b)
No
33.
What are two solutions to x < 8?
a)
8.6, 7.9
b)
11, 16
c)
0.8, 5.9
d)
12, 7.1
34.
The maximum score on the pilot's test is 95 points.
a)
p < 95
b)
p > 95
c)
p ≥ 95
d)
p ≤ 95
35.
When graphing b < 6 would you use an open or closed circle?
a)
Open
b)
closed
36.
Which sentence represents m > 41?
a)
Mary’s points, m, totaled more than 41
b)
Calvin ran no less than 41 miles, m
c)
The temperature, m, was less than 41°F
d)
The magazines’ cost, m, was not more than $41.
37.
"At most" and "No more than" are both clue words for...
a)
<
b)
>
c)
d)
38.
How would you solve this inequality?
m - 9 ≤ 20
a)
By adding 20 to both sides
b)
By subtracting 9 to both sides
c)
By adding 9 to both sides
d)
By subtracting 20 to both sides
39.
The quotient of x and 3 is less than or equal to 5
a)
x/3 ≤ 5
b)
3/x ≤ 5
c)
 x/3 ≥ 5
d)
3/x ≥ 5
40.
Write an inequality for this situation:
When you buy shoes, you must keep the cost under $100.
a)
c < 100
b)
c > 100
c)
c ≤ 100
d)
c ≥ 100
41.
Write an inequality for this situation:
You are driving, and the maximum speed limit is 55.
a)
s < 55
b)
s > 55
c)
s ≤ 55
d)
s ≥ 55
42.
Jill has some money to spend at the mall. She will spend $25 on earrings and will have at least $10 left, represented by the inequality below. How much money, m, does Jill have to spend at the mall?                        d - 25 ≥ 10
a)
d ≥ 15
b)
d ≥ 25
c)
d ≥ 35
d)
d ≤ 35
43.
Which situation matches the inequality m - 12 ≤ 8?
a)
Claire went to the mall. She used a gift card to buy a $12 shirt and had less than $8 left on the card. How much money, m, was on the card before she bought the shirt?
b)
Jorge works at Target. He earns $8 per hour and worked 12 hours on Friday. How much money, m, did Jorge earn on Friday?
c)
Steve went to the store to buy pork chops that cost $12. After he paid for the meat, he had more than $8 left. How much money, m, did Steve take to the store?
d)
Sally's mom put money in her lunch account. She spent $12 on lunch this week and has no more than $8 left in her lunch account. How much money, m, was in her lunch account?
44.
Which represents the word sentence as an inequality?
A number n is at least 17.
a)
n < 17
b)
n > 17
c)
n ≤ 17
d)
n ≥ 17
45.
x − 4 ≤ 6
a)
x ≤ 10
b)
x ≥ 10 
c)
x ≥ 2
d)
x ≤ 2
46.
y + 7 ≥ 12
a)
y ≥ 5
b)
y ≤ 5 
c)
y ≥ 19 
d)
y ≤ 19
47.
7n > 49
a)
n > 7
b)
n < 7
c)
n > 343
d)
n < 343
48.
When graphing an inequality, you use an open dot when you use which symbol?
a)
<, >
b)
≤, ≥ 
c)
≤, <
d)
≥, >
49.
When you graph an inequality, you use a closed dot when you use which symbols?
a)
≤, ≥ 
b)
<, >
c)
≤, <
d)
≥, >
50.

What inequality does the number line graph represent?

a)

x ≥ 3

b)

x > 3

c)

x < -3

d)

x ≤ 3

51.
What inequality does the number line graph represent?
a)
x > 5
b)
x < −5
c)
x ≥ 5
d)
x ≥ −5
52.
k÷8 = 4
a)
k = 24
b)
k = 32
c)
k = 0.5
d)
k = -4
53.
Describe the graph for the solution for the following inequality:
a + 13 ≥ 20
a)
Closed circle; arrow pointing left
b)
Open circle; arrow pointing left
c)
Closed circle; arrow pointing right
d)
Open circle; arrow pointing left
54.
x + 9 = 14
a)
x = 6
b)
x = -6
c)
x = 23
d)
x = 5
55.

Write an inequality for the statement:

You must be at least 48 inches tall to ride the bumper cars.

a)

h < 48

b)

h > 48

c)

h ≤ 48

d)

h ≥ 48

56.

The room can hold a maximum of 400 people. If there are already 134 people there, how many more can come? Identify the inequality that represents this situation.

a)

x - 134 < 400

b)

x + 134 < 400

c)

x - 134 ≤ 400

d)

x + 134 ≤ 400

57.

Solve.

a)

z≤1

b)

z>9

c)

z≤9

d)

z<9

58.

What are two solutions to x < 8?

a)

9, 10

b)

11, 16

c)

2, 5

d)

12, 7

59.
8x < 48
a)
x < -6
b)
x > -6
c)
x < 6
d)
x > 6
60.
You can spend no more than 20 dollars on your mom's birthday present.
a)
x > 20
b)
x < 20
c)
x ≤ 20
d)
x ≥ 20
61.
you must be at least 48 inches to ride the roller coaster.
a)
x > 48
b)
x < 48
c)
x ≤ 48
d)
x ≥ 48
62.
There are fewer than 150 children at the playground.
a)
c<150
b)
c>150
c)
c≤150
d)
c≥150
63.
What inequality does the number line graph represent?
a)
x > 5
b)
x < −5
c)
x ≥ 5
d)
x ≥ −5
64.
What are two numbers that could be x in  x < 8?
a)
8.6, 7.9
b)
11, 16
c)
0.8, 5.9
d)
12, 7.1
65.
Solve the inequality.
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8 
d)
x ≤ 18 
66.
When graphing an inequality, you use an open dot when you use which symbol?
a)
<, >
b)
≤, ≥ 
67.
When you graph an inequality, you used a closed dot when you use which symbols?
a)
≤, ≥ 
b)
<, >
68.
Match the graph with its inequality.
a)
11 < a
b)
11 > a
c)
 11 ≤ a
d)
 11 ≥ a
69.
Pick the correct letter for:
6 > x
a)
A
b)
B
c)
C
d)
D
70.
Pick the correct inequality.
a)
A
b)
B
c)
C
d)
D
71.
Match:
The postal scale will weigh a maximum of 50 lbs.
a)
 p < 50
b)
p > 50
c)
p ≤ 50
d)
p ≥ 50
72.
Match:
You must be at least 48 inches tall to ride the bumper cars.
a)
h < 48
b)
h > 48
c)
h ≤ 48
d)
h ≥ 48
73.
Write an inequality
Tom has to have at least 15 people to go to his birthday party
a)
x<15
b)
x>15
c)
x≤15
d)
x≥15
74.
Write an inequality 
Bob needs at most 10 to go to the movies
a)
x<10
b)
x>10
c)
x≤10
d)
x≥10
75.
In an equation or inequality, you want to get the variable...
a)
on one side
b)
to disappear
c)
isolated (by itself)
76.
Which sentence represents m > 41?
a)
Mary’s points, m, totaled more than 41
b)
Calvin ran no less than 41 miles, m
c)
The temperature, m, was less than 41°F
d)
The magazines’ cost, m, was not more than $41.
77.
5.    6b = 30
a)
x = 36
b)
x = 24
c)
x = 180
d)
x = 5
78.
Solve the equation
3x = 27. 
a)
x = 24
b)
x = 81
c)
x = 9
79.
Solve for x:
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
80.
Solve the equation below:
a)
k = 152
b)
k = 176
c)
k = 5
d)
k = 27
81.
144=12z
a)
z=20
b)
z=11
c)
z=12
82.
Solve the equation
3x = 27. 
a)
x = 24
b)
x = 81
c)
x = 9
83.
What is the inverse operation needed to solve for p?
765 = p - 254
a)
subtraction
b)
addition
c)
multiplication
d)
division
84.
x - 62 = 123
How should you show your work to isolate the variable and solve the equation?
a)
Add 62 to each side. 
b)
Subtract 62 from each side.
c)
Multiply each side by 62.
d)
Add 123 to each side.
85.
Solve the equation:
x - 5.5 = 10.5
a)
x = 16
b)
x = -15
c)
x = 5
d)
x = -5
86.
2n=100
a)
N=10
b)
N=50
c)
N=20
87.
x + 12 = 20
a)
x = 32
b)
x = -32
c)
x = 8
d)
x = -8
88.
4x = 44
a)
x = 40
b)
x = 11
c)
x = 48
d)
x = 176
89.
10x = 90
a)
x = 80
b)
x = 100
c)
x = 10
d)
x = 9
90.
x ÷ 13 = 8
a)
x = 91
b)
x = 104
c)
x = 21
d)
x = 5
91.
0 = 4g
a)
g = 4
b)
g = 1
c)
g = -4
d)
g = 0
92.

y + 10 = 20

a)

10

b)

11

c)

12

d)

13

93.

k - 10 = 8

a)

-3

b)

3

c)

18

d)

- 17

94.

x/12 = 3

a)

6

b)

12

c)

36

d)

24

95.

11x = 121

a)

x = 11

b)

x = 4

c)

x = 2

d)

x = 132

96.

Which equation has x = 2 as a solution?

a)

3 + x = 10

b)

10 + x = 12

c)

4x = 32

d)

5x =25

97.

Solve:

8x = 48

a)

20

b)

15

c)

5

d)

6

98.

What is the solution of 9 + k = 20

a)

18

b)

11

c)

8

d)

7

99.

What is the solution of 13 = t + 9

a)

5

b)

4

c)

7

d)

20

100.

What is the solution of r - 11 = 9

a)

11

b)

14

c)

15

d)

20

101.

x - 32 = 44

a)

x = 17

b)

x = 71

c)

x = 76

d)

x = 49

102.

4x = 20

a)

6

b)

5

c)

4

d)

50

103.

19 = 13 + t

a)

10

b)

18

c)

19

d)

6

104.

After paying $9.76 for a sandwich, Amanda has $7.71. With how much money did she start?

a)

$17.55

b)

$24.19

c)

$17.47

d)

$0.50

105.

15 = n - 9

a)

12

b)

24

c)

211

d)

65

106.

I won 80 stickers. I gave 1 to each student. I have 54 left. How many did I give away?

a)

26

b)

38

c)

40

d)

73

107.

n + 2.5 = 6.9

a)

n = 4.4

b)

n = 10.2

108.

9.4 = n - 2.9

a)

n = 6.5

b)

n = 12.3

c)

4.8

d)

10

109.

What is the goal when solving algebraic equations?

a)

to get the answer

b)

to isolate the variable (get the variable by itself)

c)

to get rid of the equal sign

d)

to divide

110.

q + 11 = 22

a)

32

b)

q = 11

c)

12

d)

q = 32

111.

8r = 64

a)

r = 8

b)

r = 392

c)

r = 7

d)

r = 56

112.

k/4 = 9

a)

k = 2

b)

k = 36

c)

k = 24

d)

k = 8

113.

3.5w = 24.5

a)

w = 101.25

b)

w = 3

c)

w = 7

d)

w = 18

114.

y/2.75 = 10

a)

y = 0.275

b)

y = 2.7

c)

none of these

d)

y = 27.5

115.

3p = 18

a)

p = 54

b)

p = 60

c)

p = 6

d)

p = 84

116.

CHALLENGE:

2/7w = 3/4

a)

w = 21/8 or 2 5/8

b)

w = 6/28

c)

w = 3/4

d)

w = 8/21

117.
Solve for x:
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
118.
How would you solve the equation?
5x = 30
a)
Subtract 5 from both sides
b)
Subtract 30 from both sides
c)
Multiply both sides by 5
d)
Divide both sides by 5
119.
How would you solve the equation?
36 = 9 + m
a)
Subtract 9 from both sides
b)
Add 9 to both sides
c)
Multiply both sides by 9
d)
Divide both sides by 9
120.
How would you solve the equation?
38 = m - 15
a)
Subtract 15 from both sides
b)
Add 15 to both sides
c)
Multiply both sides by 15
d)
Divide both sides by 15
121.

How would you solve the equation?
3 = d17\frac{\text{d}}{\text{17}}  

a)

Divide both sides by 17

b)

Add 3 to both sides

c)

Multiply both sides by 3

d)

Multiply both sides by 17

122.
Which graph matches the inequality
k < 3?
a)
A
b)
B
c)
C
d)
D
123.
Which graph matches the inequality
r ≥ -6?
a)
A
b)
B
c)
C
d)
D
124.
Which inequality matches the graph?
a)
A
b)
B
c)
C
d)
D
125.

When graphing b < 6 would you use an open or closed circle?

a)

Open

b)

closed

126.
When graphing b ≤ 6 would you use an open or closed circle?
a)
Open
b)
closed
127.
What inequality does the number line graph represent?
a)
x > 5
b)
x < −5
c)
x ≥ 5
d)
x ≥ −5
128.
Match the graph with its inequality.
a)
a > 11
b)
a < 11
c)
a ≥ 11
d)
a ≤ 11
129.
When you graph an inequality, you use a closed dot when you use which symbols?
a)
≤, ≥ 
b)
<, >
c)
≤, <
d)
≥, >
130.
When graphing an inequality, you use an open dot when you use which symbol?
a)
<, >
b)
≤, ≥ 
c)
≤, <
d)
≥, >
131.
Pick the correct letter for:
6 > x
a)
A
b)
B
c)
C
d)
D
132.
Match the graph with its inequality.
a)
b > –2
b)
b < –2
c)
b ≥ –2
d)
b ≤ –2
133.
What inequality does the number line graph represent?
a)
x ≤ -4
b)
x ≥ -4
c)
x < -4
d)
x < 4
134.
What are two numbers that could be x in  x < 8?
a)
8.6, 7.9
b)
11, 16
c)
0.8, 5.9
d)
12, 7.1
135.
Would you use a closed or open circle to graph
x < 3?
a)
Closed
b)
Open
136.
What inequality does the number line graph represent?
a)
x≥ 3
b)
x > 3
c)
x < -3
d)
x ≤ 3
137.
Which graph matches the inequality
k < 3?
a)
A
b)
B
c)
C
d)
D
138.
Which graph matches the inequality
2 > p?
a)
A
b)
B
c)
C
d)
D
139.
Which graph matches the inequality
-2 ≥ n?
a)
A
b)
B
c)
C
d)
D
140.
Which graph matches the inequality
r ≥ -6?
a)
A
b)
B
c)
C
d)
D
141.
Which graph matches the inequality 
2.5 ≤ x?
a)
A
b)
B
c)
C
d)
D
142.
Which inequality matches the graph?
a)
A
b)
B
c)
C
d)
D
143.
Which inequality matches the graph?
a)
A
b)
B
c)
C
d)
D