WorksheetsSolving Inequalities
Total questions: 66
Worksheet time: 6hrs 7mins
Name
Class
Date
1.
Solve the inequality.
x + 5 ≤ 13
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8
d)
x ≤ 18
2.
When you graph an inequality, you used a closed dot when you use which symbols?
a)
≤, ≥
b)
<, >
3.
Match the graph with its inequality.
a)
11 < a
b)
11 > a
c)
11 ≤ a
d)
11 ≥ a
4.
Solve the inequality.
30 + n ≥ 50
30 + n ≥ 50
a)
x > 50
b)
x > 80
c)
x < 30
d)
x > 20
5.
Is x = 9 a solution to the given inequality.
x > 9
x > 9
a)
TRUE
b)
FALSE
6.
Is x = 12 a given solution to the inequality.
x > 5
x > 5
a)
TRUE
b)
FALSE
7.
What inequality does the number line graph represent.
a)
x < 2
b)
x > 2
c)
x ≥ 2
d)
x ≤ 2
8.
10 ≥ x - 3
a)
x ≤ 13
b)
x ≥ 13
c)
x ≤ 7
d)
x ≥ 7
9.
what does the number line show
a)
x = 3
b)
x > 3
c)
x < 3
d)
x > 6
10.
What is the inequality for:
You must be at least 48 inches tall to ride the bumper cars.
a)
h < 48
b)
h > 48
c)
h ≤ 48
d)
h ≥ 48
11.
What is the inequality for:
The postal scale will weigh a maximum of 50 lbs.
a)
p < 50
b)
p > 50
c)
p ≤ 50
d)
p ≥ 50
12.
What is the inequality for:
I make less than $10/hour at my summer job.
a)
m > 2
b)
m ≥ 2
c)
m < 2
d)
m ≤ 2
13.
What is the inequality for:
There are more than 10 people in my family.
a)
p < 10
b)
p ≤ 10
c)
p > 10
d)
p ≥ 10
14.
more than
a)
<
b)
>
c)
≤
d)
≥
15.
At Least
a)
<
b)
>
c)
≤
d)
≥
16.
No More Than
a)
<
b)
>
c)
≤
d)
≥
17.
less than or equal to
a)
<
b)
>
c)
≤
d)
≥
18.
Less Than
a)
<
b)
>
c)
≤
d)
≥
19.
- 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
20.
8x ≥ -32
a)
x ≥ -4
b)
x ≥ 4
c)
x ≤ -4
d)
x ≥ 4
21.
7b - 3 < 11
a)
b < 2
b)
84 > b
c)
b > 2
d)
b < 84
22.
Pick the correct letter for:
6 > x
6 > x
a)
A
b)
B
c)
C
d)
D
23.
Match the graph with its inequality.
a)
11 < a
b)
11 > a
c)
11 ≤ a
d)
11 ≥ a
24.
When graphing an inequality, you use an open dot when you use which symbol?
a)
<, >
b)
≤, ≥
c)
≤, <
d)
≥, >
25.
When you graph an inequality, you used a closed dot when you use which symbols?
a)
≤, ≥
b)
<, >
c)
≤, <
d)
≥, >
26.
Solve the inequality.
x + 5 ≤ 13
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8
d)
x ≤ 18
27.
-2(x+2) < 14
a)
x < - 5
b)
x > -5
c)
x < -9
d)
x > -9
28.
-20>18+m
a)
M<-38
b)
M<38
c)
M>38
29.
6x - 4 ≥ 26
a)
x ≥ 3.67
b)
x ≥ 5
c)
x < 5
d)
x ≤ 5
30.
4x - 3 < -1x + 12
a)
x > 3
b)
x < 3
c)
x < 5
d)
x > 5
31.
.5(x - 8) < 2
a)
x > 20
b)
x < 20
c)
x > 12
d)
x < 12
32.
3(x - 3) ≤ 2(x + 2)
a)
x ≤ -5
b)
x ≥ 5
c)
x ≥ 13
d)
x ≤ 13
33.
Do you flip the sign?
-3x + 2 ≤ 22
-3x + 2 ≤ 22
a)
YES
b)
NO
34.
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
35.
Which could be a possible solution?
a)
8
b)
18
c)
16
d)
22
36.
Solve:
a)
x < 24
b)
x < 3
c)
x > 24
d)
x < 10.3333....
37.
Could x = - 5 be a solution to the inequality -6 < 3x + 9 < 21?
a)
yes
b)
no
38.
Solve 24 > -3r > -9
a)
-8 < r < 3
b)
-8 > r > 3
c)
r > - 8 and r > 3
d)
r > -8 or r < 3
39.
Could x = 3 be solution to the inequality
6 < x + 5 ≤ 11?
6 < x + 5 ≤ 11?
a)
Yes
b)
No
40.
x + 8 < 3 or - 8x < -40
a)
x > -5 or x < 5
b)
x < -5 and x > 5
c)
x < -5 or x > 5
d)
x > -5 and x < 5
41.
-2(x+2) < 14
a)
x < - 5
b)
x > -5
c)
x < -9
d)
x > -9
42.
Solve:
287 ≤ 7(1 + 5p)
287 ≤ 7(1 + 5p)
a)
p ≤ 8
b)
p ≥ 8
c)
p ≤ 56
d)
p ≥ 56
43.
Pick the correct letter for:
6 > x
6 > x
a)
A
b)
B
c)
C
d)
D
44.
Solve and graph:
a)
A
b)
B
c)
C
d)
D
45.
Write an inequality for Graph 3.
a)
x ≤ -2 AND x > 5
b)
x ≤ -2 OR x > 5
c)
x ≥ -2 OR x < 5
d)
-2 ≤ x < 5
46.
Write an inequality for Graph 2.
a)
-2 ≤ x < 5
b)
x ≤ -2 AND x > 5
c)
x ≥ -2 OR x < 5
d)
-2 ≤ x ≤ 5
47.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
48.
which equation best represents this graph?
a)
y < 1/2x + 1
b)
y < 1/2x + 2
c)
y >1/2x + 2
d)
y > 2x
49.
Which is true about this graph??
a)
it is shaded above and has a dashed line
b)
it is shaded below and has a solid line
c)
it is shaded above and has a solid line
d)
it is shaded below and has a dashed line
50.
Select the graph for y > -2x - 3
a)
A
b)
B
c)
C
d)
D
51.
Select the graph for y ≥ -3.
a)
A
b)
B
c)
C
d)
D
52.
Identify the inequality.
a)
y > 2
b)
y ≤ 1
c)
x ≥ 2
d)
y ≥ 1
53.
Identify the inequality.
a)
y > x+1
b)
y ≤ 1x+1
c)
y ≥ x+1
d)
y ≤ x-1
54.
Which point below is NOT part of the solution set?
a)
(0, 0)
b)
(-10, -10)
c)
(-1, 5)
d)
(5, 20)
55.
Which inequality is graphed on the given coordinate plane?
a)
y ≤ -x + 1
b)
y < x + 1
c)
y ≥ -x + 1
56.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
57.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
58.
Which point below is NOT part of the solution set?
a)
(0, 0)
b)
(5, 1)
c)
(-1, -3)
d)
(20, -5)
59.
Which point below is NOT part of the solution set?
a)
(0, 0)
b)
(-10, -10)
c)
(-1, 5)
d)
(5, 20)
60.
Which point below is NOT part of the solution set?
a)
(0, 0)
b)
(-10, 20)
c)
(3, 5)
d)
(0, -2)
61.
Are the points on the boundary line part of the solution set or not?
a)
Yes, they are part of the solution set
b)
No, they are NOT part of the solution set
62.
Which of the following equations match the given graph?
a)
y ≥ -3x + 4
b)
y ≤ 3/5x - 5
c)
y > -x - 5
d)
y < -4
63.
Which of the following equations match the given graph?
a)
y ≥ -3x + 4
b)
y ≤ 3/5x - 5
c)
y > -x - 5
d)
y < -4
64.
Which of the following equations match the given graph?
a)
y ≥ -3x + 4
b)
y ≤ 3/5x - 5
c)
y > -x - 5
d)
y < -4
65.
Which of the following equations match the given graph?
a)
y ≥ -3x + 4
b)
y ≤ 3/5x - 5
c)
y > -x - 5
d)
y > -4
66.
Which of the following equations match the given graph?
a)
y > 2x - 5
b)
y ≥ 7/4x + 2
c)
x < -5
d)
x > -5
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