Font size
S
M
L
XL
WorksheetsSolving Inequalities (1 and 2 steps)
Total questions: 85
Worksheet time: 4hrs 15mins
Name
Class
Date
1.
a)
x < −2
b)
x ≤ − 2
c)
x > − 2
d)
x ≥ − 2
2.
a)
x < 1
b)
x ≤ 1
c)
x ≥ 1
d)
x > 1
3.
a)
x ≥ − 2
b)
x > − 2
c)
x ≤ − 2
d)
x < − 2
4.
a)
x ≥ 1
b)
x > 1
c)
x < 1
d)
x ≤ 1
5.
a)
x ≤ 1
b)
x < 1
c)
x ≥ 1
d)
x > 1
6.
a)
x ≤ −2
b)
x < −2
c)
x ≥ −2
d)
x > −2
7.
a)
x ≥ −2
b)
x > −2
c)
x ≤ −2
d)
x < −2
8.
a)
x ≠ 0
b)
x < 0
c)
x > 0
d)
x ≤ 0
9.
a)
x ≠ 0
b)
x ≥ 0
c)
x > 0
d)
x ≤ 0
10.
a)
x ≠ 0
b)
x = 0
c)
x > 0
d)
x < 0
11.
-8x < 48
a)
x < -6
b)
x > -6
c)
x < 6
d)
x > 6
12.
24 ≤ h + 15
a)
h ≥ -9
b)
h ≥ 9
c)
h ≤ 9
d)
h ≤ 39
13.
Solve the inequality.
x + 5 ≤ 13
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8
d)
x ≤ 18
14.
Pick the correct letter for:
6 > x
6 > x
a)
A
b)
B
c)
C
d)
D
15.
10 ≥ x - 3
a)
x ≤ 13
b)
x ≥ 13
c)
x ≤ 7
d)
x ≥ 7
16.
What inequality does the number line graph represent?
a)
x > 5
b)
x < −5
c)
x ≥ 5
d)
x ≥ −5
17.
Which is the solution of k/-12 ≤ -7?
a)
-84 ≥ k
b)
k ≤ 84
c)
k ≥ 84
d)
k ≥ -84
18.
-3 ≥ x - 1
a)
2 ≥ x
b)
4 ≥ x
c)
-4 ≥ x
d)
-2 ≥ x
19.
Which inequality matches the graph?
a)
A
b)
B
c)
C
d)
D
20.
Solve the inequality.
x + 5 ≤ 13
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8
d)
x ≤ 18
21.
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
22.
Do I need to flip my sign?
3x ≥ 12
3x ≥ 12
a)
Yes
b)
No
23.
A student must be at least 15 years old to obtain a driver’s permit.
a)
x > 15
b)
x < 15
c)
x ≤ 15
d)
x ≥ 15
24.
Pick a solution that satisfies the inequality:
X/5 ≥ 7
X/5 ≥ 7
a)
34
b)
44
c)
-34
d)
-44
25.
a)
A
b)
B
c)
C
d)
D
26.
x + 5 > 7
a)
x > -2
b)
x > 2
c)
x > 12
d)
x > -12
27.
-4 + y < -8
a)
y < 4
b)
y < -12
c)
y < -4
d)
y < 12
28.
15 > -5 + z
a)
z < 20
b)
z > 20
c)
z > 10
d)
10 > z
29.
24 ≤ h + 15
a)
h ≥ -9
b)
h ≥ 9
c)
h ≤ 9
d)
h ≤ 39
30.
y - 13 ≤ -15
a)
y ≤ 2
b)
y ≤ -2
c)
y ≤ 28
d)
y ≤ -28
31.
8x < 48
a)
x < -6
b)
x > -6
c)
x < 6
d)
x > 6
32.
Match the graph with its inequality.
a)
11 < a
b)
11 > a
c)
11 ≤ a
d)
11 ≥ a
33.
Pick the correct inequality.
a)
A
b)
B
c)
C
d)
D
34.
Which inequality is represented by this graph?
a)
2.75 > d
b)
2.75 < d
c)
2.75 ≥ d
d)
2.75 ≤ d
35.
Solve
-5m < 10
-5m < 10
a)
m < -2
b)
m > -2
c)
m < -50
d)
m > -50
36.
-8x < 48
a)
x < -6
b)
x > -6
c)
x < 6
d)
x > 6
37.
26 < f + 32
a)
f > -6
b)
f < -6
c)
f < 6
d)
f < 55
38.
Solve the inequality.
a)
A
b)
B
c)
C
d)
D
39.
Solve the inequality.
a)
A
b)
B
c)
C
d)
D
40.
Level 2
Solve.
a)
z≤1
b)
z>9
c)
z≤9
d)
z<9
41.
Level 3
Which number line shows the solution set to the inequality below?
x - 3 > -3
a)
A
b)
B
c)
C
d)
D
42.
Level 3
Solve the inequality.
a)
x ≤ 6
b)
x ≥ 6
c)
x ≤ -6
d)
x ≥ -6
43.
Level 3
Solve.
a)
a ≥ -104
b)
a ≤ 5
c)
a ≤ -8/13
d)
a ≥ -8/13
44.
Level 4
Solve and graph the inequality.
77 ≤ 5 + 8n
a)
A
b)
B
c)
C
d)
D
45.
15 > -5 + z
a)
z < 20
b)
z > 20
c)
z > 10
d)
10 > z
46.
When graphing b < 6 would you use an open or closed circle?
a)
Open
b)
closed
47.
Solve and graph the inequality.
7n - 1 > 76
7n - 1 > 76
a)
A
b)
B
c)
C
d)
D
48.
Do I need to flip my sign?
3x ≥ 12
3x ≥ 12
a)
Yes
b)
No
49.
Do I need to flip my sign?
-3x ≥ 12
-3x ≥ 12
a)
Yes
b)
No
50.
s + 9 ≥ -25
a)
s ≥ -18
b)
s ≥ -34
c)
s ≤ 18
d)
s ≥ 34
51.
Match the graph with its inequality.
a)
a < 11
b)
a > 11
c)
a ≤ 11
d)
a ≥ 11
52.
-9a - 1 < 26
a)
a < -3
b)
a < 3
c)
a > -3
d)
a > 3
53.
What inequality does the number line graph represent? (Hint: You may have to solve each inequality.)
a)
x + 2 < 5
b)
3x ≥ 9
c)
2x - 1 > 5
d)
x + 3 < 0
54.
Last Friday Samantha had $22.50. Over the weekend, she received some money for cleaning. She now has more than $32.00. Which inequality represents this situation?
a)
22.50 - x > 32
b)
22.50x > 32
c)
22.50 + x > 32
d)
22.50 +x < 32
55.
5x < 5
a)
x < 1
b)
x > 1
c)
x > 0
d)
x < 25
56.
2- 3x ≤ 20
a)
x
≥ -6
b)
x ≤ -6
c)
x ≤ -7
d)
x
≥ -7
57.
25 < X - 10
a)
X > 35
b)
X < 35
c)
X > -35
d)
X < -35
58.
Pick the correct inequality.
a)
A
b)
B
c)
C
d)
D
59.
22 < 6c + 4
a)
11>c
b)
3>c
c)
11<c
d)
3<c
60.
When graphing b < 6 would you use an open or closed circle?
a)
Open
b)
closed
61.
Solve 8 + 4x > 24
a)
x > 4
b)
x > 8
c)
x > 64
d)
x < 8
62.
When graphing b < 6 would you use an open or closed circle?
a)
Open
b)
closed
63.
25 < X - 10
a)
X > 35
b)
X < 35
c)
X > -35
d)
X < -35
64.
a)
A
b)
B
c)
C
d)
D
65.
a)
A
b)
B
c)
C
d)
D
66.
a)
A
b)
B
c)
C
d)
D
67.
Which point makes the inequality true?-4x + 9 ≤ -23
a)
x = - 4
b)
x = 7
c)
x = -10
d)
x = 9
68.
Solve and graph the inequality.
77 ≤ 5 + 8n
77 ≤ 5 + 8n
a)
A
b)
B
c)
C
d)
D
69.
Solve and graph the inequality.
-169 ≤ 8m - 9
-169 ≤ 8m - 9
a)
A
b)
B
c)
C
d)
D
70.
Solve and graph the inequality.
-3 ≥ (n/3) - 7
-3 ≥ (n/3) - 7
a)
A
b)
B
c)
C
d)
D
71.
Solve and graph the inequality.
7n - 1 > 76
7n - 1 > 76
a)
A
b)
B
c)
C
d)
D
72.
Do I need to flip my sign?
3x ≥ 12
3x ≥ 12
a)
Yes
b)
No
73.
Do I need to flip my sign?
-3x ≥ 12
-3x ≥ 12
a)
Yes
b)
No
74.
Which number line shows the solution to:
11x + 14 < –8?
11x + 14 < –8?
a)
a
b)
b
c)
c
d)
d
75.
Choose the correct graph that best describes the solution for each inequality
5 + x ≥ 29
5 + x ≥ 29
a)
a
b)
b
c)
c
d)
d
76.
-4x + 14 ≤ 54
a)
x ≥ - 10
b)
x ≤ -10
c)
x ≥ 10
d)
x ≤ 10
77.
Solve for k.
2k - 9≤ -19
2k - 9≤ -19
a)
k ≤ -5
b)
k ≤ 5
c)
k < -5
d)
k < 5
78.
a)
x > 3
b)
x ≤ ⅕
c)
x ≥ 3
d)
x ≤ ⅕
79.
11 > -3y + 2
a)
-3 > y
b)
-3 < y
c)
3 > y
d)
3 < y
80.
Last Friday Samantha had $22.50. Over the weekend, she received some money for cleaning. She now has more than $32.00. Which inequality represents this situation?
a)
22.50 - x > 32
b)
22.50x > 32
c)
22.50 + x > 32
d)
22.50 +x < 32
81.
2- 3x ≤ 20
a)
x
≥ -6
b)
x ≤ -6
c)
x ≤ -7
d)
x
≥ -7
82.
25 < X - 10
a)
X > 35
b)
X < 35
c)
X > -35
d)
X < -35
83.
a)
x < -20
b)
x > -20
c)
x > 20
d)
x < 20
84.
-9a - 1 < 26
a)
a < -3
b)
a < 3
c)
a > -3
d)
a > 3
85.
-3x − 4 < 5
a)
x > -3
b)
x < -3
c)
x < 3
d)
x > 3
Reset
