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Unit 3 Inequalities

Total questions: 32

Worksheet time: 2hrs 35mins

Name
Class
Date
1.
m - 5 > 10
a)
m is less than 15
b)
m is greater than 5
c)
m is greater than 15
d)
m is less than 5 
2.
- 2k > 18
a)
k is greater than 20
b)
k is less than negative 9
c)
k is greater than negative 9
d)
k is less than 36 
3.
8x ≥ -32
a)
x ≥ -4
b)
x ≥ 4
c)
x ≤ -4
d)
x ≥ 4
4.
s + 9 ≥ -25
a)
s ≥ -18
b)
s ≥ -34
c)
s ≤ 18
d)
s ≥ 34
5.
4x - 2 ≤ -22
a)
x ≥ -5
b)
x ≥ -6
c)
x ≤ -6
d)
x ≤ -5
6.
7b - 3 < 11
a)
b < 2
b)
84 > b
c)
b > 2
d)
b < 84
7.
1 + 3r > 10
a)
r < 11
b)
r > 3
c)
27 > r
d)
r > 27
8.
-7 + 10z > -27
a)
z < -2
b)
z > -34
c)
2 > z
d)
z > -2
9.
a)
x is less than or equal to -2
b)
x < -2
c)
-2 < x
d)
x is greater than -2
10.
a)
x > 1
b)
1 ≥ x
c)
x is greater than or equal to 1
d)
x is less than or equal to 1
11.
more than
a)
<
b)
>
c)
d)
12.
Fewer Than
a)
<
b)
>
c)
d)
13.

Match the graph with its inequality. hint: don't be tricked by the variable on the right.

a)

11 < a

b)

11 > a

c)

11 ≤ a

d)

11 ≥ a

14.

What inequality symbol goes with is at least?

a)

<

b)

>

c)

d)

15.
Pick the correct inequality.
a)
A
b)
B
c)
C
d)
D
16.
Will my circle be colored in?
5 ≥ x
a)
Yes
b)
No
17.
Which of the following is a solution to the inequality?  
m < 25
a)
m = 30
b)
m = 25
c)
m = − 91
d)
m = 27
18.
Pick the correct inequality.
a)
A
b)
B
c)
C
d)
D
19.
What inequality does the number line graph represent?
a)
x ≤ 4
b)
x ≥ -4
c)
x < -4
d)
x < 4
20.
What inequality does the number line graph represent?
a)
x ≥ 3
b)
x > 3
c)
x < -3
d)
x ≤ 3
21.
When graphing b< 6 would you use an open or closed circle?
a)
Open
b)
closed
22.
When graphing an inequality, you use an open dot when you use which symbol?
a)
<, >
b)
≤, ≥ 
23.
Solve the inequality.
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8 
d)
x ≤ 18 
24.
Pick the correct letter for:
6 > x
a)
A
b)
B
c)
C
d)
D
25.
What are two solutions to x < 8?
a)
8.6, 7.9
b)
11, 16
c)
0.8, 5.9
d)
12, 7.1
26.
Does the given value make the inequality true?  x + 9 > 21, when x = 15
a)
True
b)
Not True
27.

Which of the following are all solutions to the following inequality? -16 > s

a)

{ -15, -16, -14, 1}

b)

{-17, -23, -21, -18}

c)

{-16, -17, -22, -60}

d)

{5, 10, -15, -10}

28.

1. Angel is training to run in a marathon. His goal for this week is to run a minimum of 65 miles. So far this week, he has already run 22 miles. Which inequality could be used to determine the mean number of miles (m) he would need to run each day for 3 more days to achieve his goal?

a)

3m + 22 ≥ 65

b)

3m + 22 > 65

c)

3m – 22 ≥ 65

d)

3m + 22 ≤ 65

29.

-3x+10 ≥ 34

Which set of values contain possible solutions for x?

a)

{6, 7, 5}

b)

{7, -8, 10}

c)

{-10,-16,-8}

d)

{-8, 18, 12}

30.

Cynthia’s mom gave her $15.00 to spend at her friend’s birthday party on Friday night. Write an inequality that represents the number of games, g, Cynthia can bowl to remain within her budget (don’t forget, she needs to rent a pair of shoes also).

a)

4.50g + 3.25 ≥ 15.00

b)

4.50 + 3.25g > 15.00

c)

4.50g + 3.25 < 15.00

d)

4.50g - 3.25 ≤ 15.00

31.

If Cynthia’s friend would have had her birthday party on Thursday night, what is the maximum number of games Cynthia can play?

a)

3

b)

4

c)

2

d)

5

32.

If Cynthia goes on Friday, she thinks that the maximum number of games that she can bowl is 2. Do you agree or disagree with Cynthia?

a)

agree

b)

disagree