WorksheetsSolve and Graph Inequalities
Total questions: 51
Worksheet time: 12hrs 6mins
Name
Class
Date
1.
Match the graph with its inequality.
a)
a > 11
b)
a < 11
c)
a ≥ 11
d)
a ≤ 11
2.
Match the graph with its inequality.
a)
b > –2
b)
b < –2
c)
b ≥ –2
d)
b ≤ –2
3.
Match the graph with its inequality.
a)
a > 11
b)
a < 11
c)
a ≥ 11
d)
a ≤ 11
4.
Match the graph with its inequality.
a)
b > –2
b)
b < –2
c)
b ≥ –2
d)
b ≤ –2
5.
Match the graph with its inequality.
a)
c > 9
b)
c < 9
c)
c ≥ 9
d)
c ≤ 9
6.
When you graph an inequality, you used a closed dot when you use which symbols?
a)
≤, ≥
b)
<, >
c)
≤, <
d)
≥, >
7.
When graphing an inequality, you use an open dot when you use which symbol?
a)
<, >
b)
≤, ≥
c)
≤, <
d)
≥, >
8.
Pick the correct letter for:
6 > x
6 > x
a)
A
b)
B
c)
C
d)
D
9.
What inequality does the number line graph represent?
a)
x >= 3
b)
x > 3
c)
x < -3
d)
x <= 3
10.
When you graph an inequality, you used a closed dot when you use which symbols?
a)
≤, ≥
b)
<, >
11.
Which graph matches the inequality
r ≥ -6?
r ≥ -6?
a)
A
b)
B
c)
C
d)
D
12.
Pick the correct letter for:
6 > x
6 > x
a)
A
b)
B
c)
C
d)
D
13.
Which graph matches the inequality
x ≥ 2.5?
x ≥ 2.5?
a)
A
b)
B
c)
C
d)
D
14.
Less than or equal to:
a)
≤
b)
<
c)
>
d)
≥
15.
Greater than
a)
<
b)
>
c)
≥
d)
≤
16.
Greater than or equal to:
a)
<
b)
≤
c)
≥
d)
>
17.
Greater than
a)
<
b)
>
c)
≥
d)
≤
18.
Less than or equal to:
a)
≤
b)
<
c)
>
d)
≥
19.
The ticket to the movie costs $10. How much money should Kristin take with her?
Let x represent the amount of money Kristin takes with her.
Let x represent the amount of money Kristin takes with her.
a)
x > 10
b)
x ≥ 10
c)
x < 10
d)
x ≤ 10
20.
Karen has $25 to buy her best friend a gift. How much can the gift cost?
Let x represent the cost of the gift.
Let x represent the cost of the gift.
a)
x > 25
b)
x ≥ 25
c)
x < 25
d)
x ≤ 25
21.
Tracy's car can fit up to 5 friends. Which inequality represents the number of friends she can drive?
Let x represent the number of friends Tracy can fit in her car.
Let x represent the number of friends Tracy can fit in her car.
a)
x > 5
b)
x ≥ 5
c)
x < 5
d)
x ≤ 5
22.
If you were to graph the inequality would the circle be open or closed?
x > 45
x > 45
a)
open
b)
closed
23.
If you were to graph the inequality would the circle be open or closed?
x ≥ 15
x ≥ 15
a)
open
b)
closed
24.
Translate the following phrase: Tom can spend no more than 20 dollars on his mom's birthday present.
a)
t > 20
b)
t < 20
c)
t ≤ 20
d)
t ≥ 20
25.
Would your graph go to the left or right when you graph x ≥ 4?
a)
Left
b)
Right
26.
-13t > 26
a)
t > -2
b)
t > 2
c)
t < 2
d)
t < -2
27.
Solve for t.
6t + 4 ≤ -2
6t + 4 ≤ -2
a)
t ≤ -1
b)
t ≤ 1
c)
t=1
d)
1=t
28.
Solve for k.
2k - 9≤ -19
2k - 9≤ -19
a)
k ≤ -5
b)
k ≤ 5
c)
k < -5
d)
k < 5
29.
Does the sign need to flip when solving?
8y < (-40)
8y < (-40)
a)
YES
b)
NO
30.
Does the sign need to flip when solving?
m - 5 > 8
m - 5 > 8
a)
Yes
b)
No
31.
Solve
-8x < 48
a)
x < -6
b)
x > -6
c)
x < 6
d)
x > 6
32.
Solve
-5m < 10
-5m < 10
a)
m < -2
b)
m > -2
c)
m < -50
d)
m > -50
33.
Does the sign need to flip when solving?
-2x ≥ 22
-2x ≥ 22
a)
YES
b)
NO
34.
Solve the inequality.
30 + n ≥ 50
a)
n ≥ 50
b)
x ≥ 80
c)
n ≤ 30
d)
n ≥ 20
35.
Solve the inequality.
x + 5 ≤ 13
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8
d)
x ≤ 18
36.
3x - 2 ≥ 34
a)
x ≥ -12
b)
x ≤ -12
c)
x ≤ 12
d)
x ≥ 12
37.
8x < 48
a)
x < -6
b)
x > -6
c)
x < 6
d)
x > 6
38.
Solve:
3x + 7 = -8
3x + 7 = -8
a)
5
b)
-5
c)
-12
d)
-18
39.
6 - 2h > 30
a)
h < 24
b)
18 > h
c)
h > 12
d)
h < -12
40.
Solve.
a)
z≤1
b)
z>9
c)
z≤9
d)
z<9
41.
Is x = 12 a given solution to the inequality.
x > 5
x > 5
a)
TRUE
b)
FALSE
42.
A student needs to collect at least $30.00 for a sports fundraiser. The student has already collected $7.00. The inequality shown can be used to find d, the number of dollars the student still needs.
d + 7 ≥ 30
Which inequality represents the solution set for this situation?
d + 7 ≥ 30
Which inequality represents the solution set for this situation?
a)
d ≤ 37
b)
d ≥ 37
c)
d ≤ 23
d)
d ≥ 23
43.
Which number line shows the solution set to the inequality below?
2x ≤ -6
a)
A
b)
B
c)
C
d)
D
44.
Which number line shows the solution set to the inequality below?
x - 3 > -3
x - 3 > -3
a)
A
b)
B
c)
C
d)
D
45.
10 ≥ x - 3
a)
x ≤ 13
b)
x ≥ 13
c)
x ≤ 7
d)
x ≥ 7
46.
-4x + 14 ≤ 54
a)
x ≥ - 10
b)
x ≤ -10
c)
x ≥ 10
d)
x ≤ 10
47.
10 < 3x + 19
a)
x < 3
b)
x > 3
c)
x < -3
d)
x > -3
48.
a)
h > 10
b)
h > -10
c)
h < 10
d)
h < -10
49.
Write an inequality for the following statement.
n is less than 9
n is less than 9
a)
n < 9
b)
n > 9
c)
n ≤ 9
d)
n ≥ 9
50.
Translate the sentence into an inequality.
Seven subtracted from n is greater than or equal to 18.
Seven subtracted from n is greater than or equal to 18.
a)
n - 7 > 18
b)
7 - n ≥ 18
c)
n - 7 ≥ 18
d)
n + 7 ≥ 18
51.
Write an inequality for this situation:
You are driving, and the maximum speed limit is 55.
You are driving, and the maximum speed limit is 55.
a)
s < 55
b)
s > 55
c)
s ≤ 55
d)
s ≥ 55
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