Inequalities Test
Name:_______________________
Date:_______________________
______________________________________________________________________________
1
Suppose it takes you 10 min to walk from home to school at a rate of 264 ft/min. Your
friend lives closer to school than you do. Which inequality represents the distance d (in
feet) that your friend lives from school?
A
B
C
D
2
Write an inequality that represents the verbal expression.
All real numbers greater than or equal to 38.
A
B
C
D
3
x < 38
x > 38
Write an inequality that represents the verbal expression.
All real numbers less than 74.
A
B
C
D
4
d < 264
d > 264
d > 2640
d < 2640
x > 74
x < 74
Write an inequality that represents the verbal expression.
9 less than a number n is less than 17.
A
B
C
D
17 < 9 – n
9 – n < 17
n – 9 < 17
17 – 9 < n
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Page 1 of 14
Inequalities Test
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5
Write an inequality for the graph.
A
B
C
D
6
Write an inequality that represents the verbal expression.
3 more than a number t is greater than or equal to 21.
A
B
C
D
7
Write an inequality for the graph.
A
B
C
D
8
What inequality is represented by the graph?
A
B
C
D
w < –5
w<5
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Inequalities Test
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9
Write an inequality for the graph.
A
B
C
D
10
Write an inequality for the graph.
A
B
C
D
11
Write an inequality for the graph.
A
B
C
D
12
m < –5
m > –5
m 5
–5 m
d<1
d > –1
d < –1
–1 d
Which number is a solution to the inequality?
A
B
C
D
3
5
2
–9
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Inequalities Test
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13
Choose the graph of the inequality.
d<2
A
B
C
D
14
Choose the graph of the inequality.
A
B
C
D
15
Tina can type at least 60 words per minute. Choose the inequality and graph that model
this situation.
A
B
C
D
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Inequalities Test
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16
Choose the inequality that models the situation.
Thomas earned $44 or more.
A
B
C
D
17
t > 44
t < 44
Graph the inequality
. How is the graph of
different from
?
A
The dot at 3 is closed for
and open for
.
The dot at 3 is open for
and closed for
.
The dot at 3 is open for
and closed for
.
and open for
.
B
C
D
The dot at 3 is closed for
18
Solve the inequality. Graph the solution.
A
B
C
D
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Inequalities Test
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19
Solve the inequality. Graph your solution.
7>j+2
A
B
C
D
20
j>5
j < –5
j > –5
Solve the inequality. Graph your solution.
4 – z < 12
A
B
C
D
21
j<5
z<8
z>3
z > –8
z < –8
Choose the correct solution and graph of the inequality.
A
B
C
D
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Inequalities Test
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22
Solve the inequality. Graph your solution.
A
B
C
D
23
m < –6
Solve the inequality. Graph your solution.
30 > –5c
A
B
c < –6
c > –6
C
D
24
c > –6
Solve the inequality. Graph your solution.
3x < 15
A
B
x>5
x<5
C
D
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Inequalities Test
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25
What is the inequality written in words?
3n < 52
A
B
C
D
26
fifty-two less than three times n
Three times n is less than fifty-two.
Three times n is less than or equal to fifty-two.
Three times n is greater than fifty-two.
Choose the correct solution and graph of the inequality.
A
B
C
D
27
Choose the correct solution and graph of the inequality.
–2w < –18
A
B
C
D
w>9
w < –16
w<9
w > –16
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Inequalities Test
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28
Solve the inequality. Graph your solution.
3(–b – 5) < –3
A
B
C
D
29
b>4
b > –4
b<4
b < –4
Solve the inequality.
–3 – 5m – 1 < –14
A
m>2
B
C
D
30
m > –2
Choose the correct graph of the integers.
–1, 0, 1, 3
A
B
C
D
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Inequalities Test
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31
Graph the compound inequality.
A
B
C
D
32
Graph the compound inequality.
or
A
B
C
D
33
Graph the compound inequality.
and
A
B
C
D
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Inequalities Test
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34
Write a compound inequality that the graph could represent.
A
B
C
D
35
Write a compound inequality that the graph could represent.
A
B
C
D
k < 4 or k 13
k < 13 or k > 4
4 < k < 13
k < 4 or k > 13
36
A
B
C
D
37
Choose the correct solution and graph of the inequality.
A
B
C
D
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Inequalities Test
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38
Choose the correct solution and graph of the inequality.
–2 < 4x – 10 < 6
A
B
C
D
39
4 < x < 12
<x<
–16 < x < –8
2<x<4
Choose the compound inequality and graph that represents the situation.
all real numbers that are greater than –6 but less than 6
A
B
C
D
40
Choose the compound inequality and graph that represents the situation.
all real numbers at least –6 and at most 3
A
B
C
D
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Inequalities Test
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41
Choose the compound inequality and graph that represents the situation.
On a road in the city of Rochester, the maximum speed is 50 miles per hour, and the
minimum speed is 20 miles per hour.
A
B
C
D
42
Which compound inequality could the graph represent?
A
B
C
D
43
Which compound inequality could the graph represent?
A
B
C
D
44
Choose the inequality that represents the situation.
all real numbers y that are less than 4 or greater than 9
A
B
C
D
4<y<9
y < 4 or y 9
y < 4 or y > 9
y < 9 or y > 4
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Inequalities Test
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45
Choose the correct solutions and graph of the compound inequality.
or
A
B
C
D
or
or
or
or
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