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Inequalities Test Study Guide

Total questions: 34

Worksheet time: 2hrs 59mins

Name
Class
Date
1.

When do you "flip the inequalities sign"?

a)

When you add or subtract a negative

b)

When it's a 1-step problem

c)

When you multiply or divide a negative

d)

When it's a 2-step problem

2.

2x > 12

a)

x > 6

b)

x < 6

c)

x ≥ 6

d)

x ≤ 6

3.

-3x ≤ 18

a)

x ≤ -6

b)

x ≤ 6

c)

x ≥ 6

d)

x ≥ -6

4.

Solve 3x + 7 < 22

a)

x < -29/3

b)

x < -5

c)

x < 29/3

d)

x < 5

5.

Solve -2x - 3 ≤ 13

a)

x ≥ 8

b)

x ≥ -8

c)

x ≤ 8

d)

x ≤ -8

6.

When do you use a closed circle on a graph for an inequality?

a)

When it is ≥ or ≤

b)

When it is > or <

c)

When the number in front of the variable is negative

d)

When it is only =

7.

Match the graph with its inequality.

a)

a > 11

b)

a < 11

c)

a ≥ 11

d)

a ≤ 11

8.
Match the graph with its inequality.
a)
b > –2
b)
b < –2
c)
b ≥ –2
d)
b ≤ –2
9.

Which graph would match the inequality

-6x - 4 > -40

a)

A

b)

B

c)

C

d)

D

10.
more than
a)
<
b)
>
c)
d)
11.
Less Than
a)
<
b)
>
c)
d)
12.

Which inequality represents the graph?

a)

X > 3

b)

X \ge 3

c)

X < 3

d)

X \le 3

13.
Less than or equal to
a)
<
b)
>
c)
d)
14.
Greater than or equal to
a)
<
b)
>
c)
d)
15.

8x328x\ge-32

a)

x4x\ge-4

b)

x4x\ge4

c)

x4x\le-4

d)

x4x\ge4

16.

s+925s+9\ge-25

a)

s18s\ge-18

b)

s34s\ge-34

c)

s18s\le18

d)

s34s\ge34

17.

4x2224x-2\le-22

a)

x5x\ge-5

b)

x6x\ge-6

c)

x6x\le-6

d)

x5x\le-5

18.

x+513x+5\le13

a)

x8x\ge8

b)

x18x\ge18

c)

x8x\le8

d)

x18x\le18

19.

12y11<49-12y-11<49

a)

y<5y<-5

b)

y>5y>-5

c)

y>5y>5

d)

y<5y<5

20.
Write the inequality: 
The Chicago Cubs have won more than 100 games.
a)
x > 100
b)
x < 100
c)
x ≥ 100
d)
x ≤ 100
21.
Write the inequality:
You have to be 54 inches or taller to ride the American Eagle
a)
x > 54
b)
x < 54
c)
x ≥ 54
d)
x ≤ 54
22.

s + 9 ≥ -25

a)

s ≥ -18

b)

s ≥ -34

c)

s ≤ 18

d)

s ≥ 34

23.

Level 2

Solve.

a)

z≤1

b)

z>9

c)

z≤9

d)

z<9

24.

n3>20\frac{n}{3}>-20  

a)

n>60n>60

b)

n<17n<-17

c)

n>60n>-60

d)

n<23n<-23

25.

Solve

a)

n < 6

b)

n > 6

c)

n < 14

d)

n > 14

26.

34x+5>11\frac{3}{4}x+5>11  

a)

x>8x>8  

b)

x>8x>-8  

c)

x>1x>-1  

d)

x<4x<4  

27.

s77\frac{s}{-7}\le7  

a)

S49S\le-49  

b)

S<49S<49  

c)

S49S\ge-49  

d)

S49S\ge49  

28.

Solve the inequality.

a)
b)
c)
d)
29.
a)

x < -20

b)

x > -20

c)

x > 20

d)

x < 20

30.

Solve

a)

A

b)

B

c)

C

d)

D

31.
you must be at least 48 inches to ride the roller coaster.
a)
x > 48
b)
x < 48
c)
x ≤ 48
d)
x ≥ 48
32.
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
33.
You and your friends ate more than 8 slices of pizza at the party.
a)
x > 8
b)
x < 8
c)
x ≤ 8
d)
x ≥ 8
34.
Edith must read for a minimum of 20 minutes every night.
a)
x > 20
b)
x < 20
c)
x ≥ 20
d)
x ≤ 20