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Worksheets

Inequalities Practice Quizizz

Total questions: 131

Worksheet time: 1hrs 6mins

Name
Class
Date
1.
What inequality does the number line graph represent?
a)
x >= 3
b)
x > 3
c)
x < -3
d)
x <= 3
2.

What inequality does the number line graph represent?

a)

x ≤ 4

b)

x ≥ -4

c)

x < -4

d)

x < 4

3.

Which inequality matches the graph?

a)

x<3

b)

x>3

c)

x<3

d)

x>3

4.

Which inequality matches the graph?

a)

x>-2

b)

x<-2

c)

x>-2

d)

x<-2

5.

Select all values that are solutions to the inequality x < 20

a)

0

b)

100

c)

10

d)

50

6.
Less than or equal to
a)
<
b)
>
c)
d)
7.
Greater than or equal to
a)
<
b)
>
c)
d)
8.

Match the graph with its inequality.

a)

a > 11

b)

a < 11

c)

a ≥ 11

d)

a ≤ 11

9.
Match the graph with its inequality.
a)
b > –2
b)
b < –2
c)
b ≥ –2
d)
b ≤ –2
10.

Pick the correct letter for:

x < 6

a)

A

b)

B

c)

C

d)

D

11.

Which inequality represents the graph?

a)

X < 4

b)

X undefined4

c)

X > 4

d)

X \ge 4

12.

Which inequality represents the graph?

a)

X > 3

b)

X \ge 3

c)

X < 3

d)

X \le 3

13.

What does an open circle mean?

a)

The number is opened.

b)

The number is part of the solution.

c)

The number is NOT part of the solution.

d)

It's just a shape, all points are equidistant from the center of the circle.

14.

What does a closed circle mean?

a)

It means it is dark.

b)

The number is part of the solution.

c)

The number is NOT part of the solution.

d)

It's just a circle, all points are equidistant from the center of the circle.

15.

Match the inequality statement with its symbol.

a)

>>  

1.

greater than

b)

\le  

2.

no more than

c)

\ge  

3.

at least

d)

<<   

4.

less than

16.

When you graph an inequality, you used a closed dot when you use which symbols?

a)

≤, ≥

b)

<, >

17.

When graphing an inequality, you use an open dot when you use which symbol?

a)

<, >

b)

≤, ≥

18.

Match the graph with its inequality.

a)

11 < a

b)

11 > a

c)

11 ≤ a

d)

11 ≥ a

19.

10 ≥ x - 3

a)

x ≤ 13

b)

x ≥ 13

c)

x ≤ 7

d)

x ≥ 7

20.

8x ≥ -32

a)

x ≥ -4

b)

x ≥ 4

c)

x ≤ -4

d)

x ≥ 4

21.

4x - 2 ≤ -22

a)

x ≥ -5

b)

x ≥ -6

c)

x ≤ -6

d)

x ≤ -5

22.

s + 9 ≥ -25

a)

s ≥ -18

b)

s ≥ -34

c)

s ≤ 18

d)

s ≥ 34

23.

6 - 2h > 30

a)

h < 24

b)

18 > h

c)

h > 12

d)

h < -12

24.

-7 + 10z > -27

a)

z < -2

b)

z > -34

c)

2 > z

d)

z > -2

25.
-4x + 14 ≤ 54
a)
x ≥ -10
b)
x ≤ -10
c)
x ≥ 10
d)
x ≤ 10
26.

Match the graph with its inequality.

a)

11 < a

b)

11 > a

c)

11 ≤ a

d)

11 ≥ a

27.

Which is the solution of k/-12 ≤ -7?

a)

-84 ≥ k

b)

k ≤ 84

c)

k ≥ 84

d)

k ≥ -84

28.
Solve.
a)
x ≤ 14
b)
x < 14
c)
x ≥ 14
d)
x = 14
29.
Solve.
a)
x > -28
b)
x > 28
c)
x > -14
d)
x > 14
30.
8x - 19 < 13
a)
x < 4
b)
x < -4
c)
x = 4
d)
x < -3/4
31.

Which inequality matches the graph?

a)

x<3

b)

x>3

c)

x<3

d)

x>3

32.

Which scenario could be represented by the graph?

a)

The temperature is less than -1 degree.

b)

The temperature is more than -1 degree.

c)

The temperature is at most -1 degree.

d)

The temperature is at least -1 degree.

33.

Which inequality matches the graph?

a)

x>-2

b)

x<-2

c)

x>-2

d)

x<-2

34.

Mr. Gomez gets a notice from the bank when the amount in his checking account drops below $20. Which represents an amount that will require the bank to send a notice?

a)

$18

b)

$19

c)

$20

d)

$21

e)

$22

35.

Mr. Gomez gets a notice from the bank when the amount in his checking account drops below $20. Which inequality represents when Mr. Gomez will receive a notice from the bank?

a)

x<20

b)

x>20

c)

x>20

d)

x<20

36.

You must spend at least $10 at the grocery store to get a free reusable shopping bag. Which inequality represents the amount you need to spend to get a free shopping bag?

a)

x<10

b)

x>10

c)

x>10

d)

x<10

37.

Antavius must score at least 4 more points in the game this weekend than he did in the last game to be the top scorer for his team. In the last game he scored 13 points. Which inequality represents what Antavius must score, s, to be the team's top scorer?

a)

s>4

b)

s>13

c)

s>17

38.

Andy runs the same number of miles, x, every day. His total distance run for one week is less than 60 miles. Which inequality represents how many miles Andy runs each day?

a)

7 + x > 60

b)

7 + x < 60

c)

7x>60

d)

7x<60

39.

When the following inequality is graphed, what will it look like?


y>-1

a)

open circle

b)

closed circle

40.

When the following inequality is graphed, what will it look like?


z < - 1/2

a)

open circle

b)

closed circle

41.

When the following inequality is graphed, what will it look like?


y<5

a)

open circle

b)

closed circle

42.

When the following inequality is graphed, what will it look like?


r < -12.97

a)

open circle

b)

closed circle

43.

When the following inequality is graphed, what will it look like?


2 > f

a)

open circle

b)

closed circle

44.

When the following inequality is graphed, what will it look like?


5.0825 < c

a)

open circle

b)

closed circle

45.

When the following inequality is graphed, what will it look like?


"Kelsey has at most 10 dollars"

a)

open circle

b)

closed circle

46.

When the following inequality is graphed, what will it look like?


"Alex will spend less than 35 minutes playing video games"

a)

open circle

b)

closed circle

47.
more than
a)
<
b)
>
c)
d)
48.
At Least
a)
<
b)
>
c)
d)
49.
No More Than
a)
<
b)
>
c)
d)
50.
less than or equal to
a)
<
b)
>
c)
d)
51.
Less Than
a)
<
b)
>
c)
d)
52.
- 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 
53.
8x ≥ -32
a)
x ≥ -4
b)
x ≥ 4
c)
x ≤ -4
d)
x ≥ 4
54.
7b - 3 < 11
a)
b < 2
b)
84 > b
c)
b > 2
d)
b < 84
55.
Pick the correct letter for:
6 > x
a)
A
b)
B
c)
C
d)
D
56.
Match the graph with its inequality.
a)
11 < a
b)
11 > a
c)
 11 ≤ a
d)
 11 ≥ a
57.
When graphing an inequality, you use an open dot when you use which symbol?
a)
<, >
b)
≤, ≥ 
c)
≤, <
d)
≥, >
58.
When you graph an inequality, you used a closed dot when you use which symbols?
a)
≤, ≥ 
b)
<, >
c)
≤, <
d)
≥, >
59.
Solve the inequality.
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8 
d)
x ≤ 18 
60.
-2(x+2) < 14
a)
x < - 5
b)
x > -5
c)
x < -9
d)
x > -9
61.
-20>18+m
a)
M<-38
b)
M<38
c)
M>38
62.
s - 10 ≤ 1
a)
s ≤ 11
b)
s ≤ 9
c)
s ≥ 11
d)
s ≥ 9
63.
10 ≥ x - 3
a)
x ≤ 13
b)
x ≥ 13
c)
x ≤ 7
d)
x ≥ 7
64.
What inequality does the number line graph represent?
a)

x4x\le-4  

b)

x4x\ge-4  

c)
x < -4
d)
x < 4
65.
What inequality does the number line graph represent?
a)

x3x\ge3  

b)
x > 3
c)
x < -3
d)

x3x\le3  

66.

 When you graph an inequality, you used a closed dot when you use which symbols?

a)

≤, ≥ 

b)

<, >

67.

When graphing an inequality, you use an open dot when you use which symbol?

a)

<, >

b)

≤, ≥ 

68.

 Pick the correct inequality.

a)

A

b)

B

c)

C

d)

D

69.

Solve the inequality.

2(b  8) > 122\left(b\ -\ 8\right)\ >\ 12  

a)

b > 20

b)

b > 6

c)

b > 14

d)

b > 20

70.

Solve the inequality.

4d  9  3-4d\ -\ 9\ \le\ 3  

a)

d 3d\ \le3  

b)

d 3d\ \le-3  

c)

d  3d\ \ge\ 3  

d)

d  3d\ \ge\ -3  

71.
You flip an inequality symbol when you...
a)
subtract
b)
multiply and divide only
c)
multiple by a negative number
d)
multiple or divide by a negative number
72.

Which of the following situations shows the need to flip the inequality sign?

a)

3x<93x<-9

b)

x4>8\frac{x}{-4}>8

c)

x24x-2\le-4

d)

x16x--1\ge6

73.
Solve
-5m < 10
a)
m < -2
b)
m > -2
c)
m < -50
d)
m > -50
74.

6x>126x>12  

a)

x<2x<2  

b)

x2x\le2  

c)

x>2x>2  

d)

x2x\ge2  

75.

b2<13\frac{b}{2}<13  

a)

b<26b<26  

b)

b26b\le26  

c)

b>26b>26  

d)

b26b\ge26  

76.
Solve and graph.
k - 13 > -51
a)
A
b)
B
c)
C
d)
D
77.
When you graph an inequality, you used a closed dot when you use which symbols?
a)
≤, ≥ 
b)
<, >
78.
When graphing an inequality, you use an open dot when you use which symbol?
a)
<, >
b)
≤,  
79.
Match the graph with its inequality.
a)
11 < a
b)
11 > a
c)
 11 ≤ a
d)
 11 ≥ a
80.

6 + 2h > 30

a)

h < 24

b)

18 > h

c)

h > 12

d)

h < -12

81.
What inequality does the number line graph represent?
a)
x ≤ 4
b)
x ≥ -4
c)
x < -4
d)
x < 4
82.
-4x + 14 ≤ 54
a)
x ≥ -10
b)
x ≤ -10
c)
x ≥ 10
d)
x ≤ 10
83.
x + 5 > 7
a)
x > -2
b)
x > 2
c)
x > 12
d)
x > -12
84.
4x + 1 > 13
a)
x > 48
b)
x < 3
c)
x > 3.5
d)
x > 3
85.
-9x + 7 ≥ 25
a)
x ≥ -3.6
b)
x ≤ 2
c)
x ≥ -2
d)
x ≤ -2
86.

Which number line best represents the solution to the inequality 5w ≥ 30

a)

A

b)

B

c)

C

d)

D

87.
The 30 members of a choir are trying to raise at least $1,500 to cover travel costs to a singing camp. They have already raised $600. Which inequality could you solve to find the average amounts each member can raise that will at least meet the goal?
a)
30x + 600 > 1,500
b)
30x + 600 ≥ 1,500
c)
30x + 600 < 1,500
d)
30x + 600 < 1,500
88.
A parking garage charges $4.50 for each hour you park.  You have $18 in your pocket.  How many hours can you park?
a)
x > 4
b)
x < 4
c)
x ≤ 4
d)
x ≥ 4
89.
Sam make $10.25 per hour working at Cheddars.  He plans to buy a laptop for $550.  Write and solve an inequality describing how many hours h Sam will have to work to be able to buy the laptop. (Round to the next higher hour)
a)
10.25h < 550; less than 54 hours
b)
10.25h > 550; greater than 54 hours
c)
10.25h ≤ 550; at most 54 hours
d)
10.25h ≥ 550; at least 54 hours
90.
A taxi cab costs $1.75 and $0.75 for each additional mile. You have $20 to spend on you ride. Which inequality could be solved to find how many miles you can travel, if m is the number of additional miles?
a)
1.75n + 0.75 ≥ 20
b)
1.75n + 0.75 ≤ 20
c)
0.75n + 1.75 ≥ 20
d)
0.75n + 1.75 ≤ 20
91.

When do you have to flip the inequality symbol?

a)

When you add or subtract a negative

b)

When you multiply or divide by a negative number

c)

When you combine like terms

d)

When you multiply or divide by a positive number

92.

7x < 49

a)

x > 7

b)

x < 7

c)

x > 2

d)

x < 42

93.
x + 5 > 7
a)
x > -2
b)
x > 2
c)
x > 12
d)
x > -12
94.
4x + 1 > 13
a)
x > 48
b)
x < 3
c)
x > 3.5
d)
x > 3
95.
-9x + 7 ≥ 25
a)
x ≥ -3.6
b)
x ≤ 2
c)
x ≥ -2
d)
x ≤ -2
96.
Solve:
8m - 9 > 71
a)
m > 10
b)
m > 1
c)
m < 1
d)
m > -48
97.
15 + 7x ≥ 29
a)
x ≥ 2
b)
x ≥ -2
c)
x ≤ 2
d)
x > 2
98.
Does the sign need to flip when solving?
-2x ≥ 22
a)
YES
b)
NO
99.
-8x < 48
a)
x < -6
b)
x > -6
c)
x < 6
d)
x > 6
100.
x - 4 > 5
a)
x < 9
b)
x ≥ 9 
c)
x > 1
d)
x > 9
101.
7b - 3 < 11
a)
b < 2
b)
84 > b
c)
b > 2
d)
b < 84
102.
-4x + 14 ≤ 54
a)
x ≥ - 10
b)
x ≤ -10
c)
x ≥ 10
d)
x ≤ 10
103.
10 < 3x + 19
a)
x < 3
b)
x > 3
c)
x < -3
d)
x > -3
104.
-7x + 15 ≥ -20
a)
x ≥ -5
b)
x ≤ -5
c)
x ≥ 5
d)
x ≤ 5
105.
4x + 5 ≥ 41
a)
x ≥ 9
b)
x ≤ 9
c)
x ≥ 11.5
d)
x ≤ 11.5
106.
You flip an inequality symbol when you...
a)
subtract
b)
multiply and divide only
c)
multiple by a negative number
d)
multiple or divide by a negative number
107.
When you graph an inequality, you used a closed dot when you use which symbols?
a)
≤, ≥ 
b)
<, >
108.
a)
x > 2
b)
x > 5
c)
x >15
d)
x > 50
109.
9x + 3 < 21
a)
x > 2
b)
x < 2
c)
x > 9
d)
x < 9
110.
What inequality does the number line graph represent?
a)
x ≤ -4
b)
x ≥ -4
c)
x < -4
d)
x < 4
111.
What inequality does the number line graph represent?
a)
x≥ 3
b)
x > 3
c)
x < -3
d)
x ≤ 3
112.
x + 5 > 7
a)
x > -2
b)
x > 2
c)
x > 12
d)
x > -12
113.
-4 + y < -8
a)
y < 4
b)
y < -12
c)
y < -4
d)
y < 12
114.

-8x < 48

a)

x < -6

b)

x > -6

c)

x < 6

d)

x > 6

115.
Solve 
-9h > (-63)
a)
h < 7
b)
h > 7
c)
h < -7
d)
h > -7
116.
4x + 1 > 13
a)
x > 48
b)
x < 3
c)
x > 3.5
d)
x > 3
117.
-9x + 7 ≥ 25
a)
x ≥ -3.6
b)
x ≤ 2
c)
x ≥ -2
d)
x ≤ -2
118.

Solve the following inequality. Show your algebraic work!

a)

b > 6

b)

b < -4

c)

b > 1

d)

b < -12

119.
What inequality does the number line graph represent?
a)
x > 5
b)
x < −5
c)
x ≥ 5
d)
x ≥ −5
120.

Which number line best represents the solution to the inequality 5w ≥ 30

a)

A

b)

B

c)

C

d)

D

121.
What inequality does the number line graph represent. 
a)
x < 2
b)
x > 2
c)
x ≥ 2
d)
x ≤ 2
122.
Will my dot be colored in?
5 ≥ x
a)
Yes
b)
No
123.
Solve:
8m - 9 > 71
a)
m > 10
b)
m > 1
c)
m < 1
d)
m > -48
124.

Translate: 5 times a number is at least 60.

a)

5x < 60

b)

5x > 60

c)

5x ≤ 60

d)

5x ≥ 60

125.

Translate:

A number increased by 4 is no more than -18.

a)

x + 4 < -18

b)

x + 4 > -18

c)

x + 4 ≤ -18

d)

x + 4 ≥ -18

126.

Translate:

Twice a number is smaller than 42.

a)

2x < 42

b)

2x > 42

c)

2x ≤ 42

d)

2x ≥ 42

127.
15 + 7x ≥ 29
a)
x ≥ 2
b)
x ≥ -2
c)
x ≤ 2
d)
x > 2
128.
Does the given value make the inequality true?  x + 9 > 21, when x = 15
a)
True
b)
Not True
129.
When you graph an inequality, you used a closed dot when you use which symbols?
a)
≤, ≥ 
b)
<, >
130.
Four times a number, increased by 6 is greater than 22.  Which inequality models this scenario?
a)
4x - 6 > 22
b)
4x + 6 < 22
c)
4x + 6 ≥ 22
d)
4x + 6 > 22
131.
When graphing an inequality, what does a closed circle mean?
a)
The number is not included in the list of answers.
b)
The number is included in the list of answers.