WorksheetsInequalities Practice
Total questions: 29
Worksheet time: 1hrs 27mins
Name
Class
Date
1.
What inequality is graphed here?
a)
x ≤ -2
b)
x < -2
c)
x > -2
d)
x ≥ -2
2.
3x - 2 < 13
a)
x > 3.67
b)
x > 5
c)
x < 5
d)
x < 3.67
3.
Does the sign need to flip when solving?
-2x ≥ 22
-2x ≥ 22
a)
YES
b)
NO
4.
Solve the inequality.
x + 5 ≤ 13
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8
d)
x ≤ 18
5.
Solve:
-4(-7-5x) > 188
-4(-7-5x) > 188
a)
x < -32
b)
x > -32
c)
x < 8
d)
x > 8
6.
16 - 4a > 8
a)
a<-2
b)
a>-2
c)
a<2
d)
a>2
7.
22 < 6c + 4
a)
11>c
b)
3>c
c)
11<c
d)
3<c
8.
Do I need to flip my sign?
3x ≥ 12
3x ≥ 12
a)
Yes
b)
No
9.
When graphing b < 6 would you use an open or closed circle?
a)
Open
b)
closed
10.
Solve and graph the inequality.
7n - 1 > 76
7n - 1 > 76
a)
A
b)
B
c)
C
d)
D
11.
Solve for k.
7k – 2 ≥ -9
7k – 2 ≥ -9
a)
k ≤ -1
b)
k≤1
c)
k≥1
d)
k ≥ -1
12.
Solve for k.
2k - 9≤ -19
2k - 9≤ -19
a)
k ≤ -5
b)
k ≤ 5
c)
k < -5
d)
k < 5
13.
Solve the inequality.
-3w - 2 < -17
-3w - 2 < -17
a)
w < 7.67
b)
w > 5
c)
w < 5
d)
w < 6.33
14.
Solve and graph the inequality.
77 ≤ 5 + 8n
77 ≤ 5 + 8n
a)
A
b)
B
c)
C
d)
D
15.
When you graph an inequality, you use a closed dot when you use which symbols?
a)
≤, ≥
b)
<, >
16.
When graphing an inequality, you use an open dot when you use which symbol?
a)
<, >
b)
≤, ≥
17.
Solve the inequality.
-8k - 4 ≤ -60
-8k - 4 ≤ -60
a)
k < 7
b)
k > 7
c)
k ≤ 7
d)
k ≥ 7
18.
Solve the inequality.
7 - 3n ≥ -53
7 - 3n ≥ -53
a)
n ≥ 20
b)
n ≤ 20
c)
n > 20
d)
n < 20
19.
Solve the inequality.
-10x + 5 ≥ 195
-10x + 5 ≥ 195
a)
x ≤ -19
b)
x ≥ -19
c)
x < -19
d)
x > -19
20.
Solve the inequality.
-n + 8 < 26
-n + 8 < 26
a)
n < -18
b)
n > -18
c)
n ≤ -18
d)
n ≥ -18
21.
Solve the inequality.
-2x + 9 ≤ -11
-2x + 9 ≤ -11
a)
x > 10
b)
x < 10
c)
x ≥ 10
d)
x ≤ 10
22.
Solve the inequality.
5x + 6 ≥ -69
5x + 6 ≥ -69
a)
x ≥ -15
b)
x ≤ -15
c)
x > -15
d)
x < -15
23.
Solve the inequality.
0 ≥ -5x - 5
0 ≥ -5x - 5
a)
x < -1
b)
x > -1
c)
x ≤ -1
d)
x ≥ -1
24.
Solve the inequality.
-6 - 3n < -36
-6 - 3n < -36
a)
n ≤ 10
b)
n < 10
c)
n ≥ 10
d)
n > 10
25.
Solve the inequality.
-5x - 7 > -42
-5x - 7 > -42
a)
x < 7
b)
x > 7
c)
x ≤ 7
d)
x ≥7
26.
What is the first step to solve this equation:
11 - 3x = 44
11 - 3x = 44
a)
Add 3 to both sides
b)
Subtract 11 from both sides
c)
Add 11 to both sides
d)
Divide 3 on both sides.
27.
The steps in solving 5b - 6 = 24 are:
a)
Add 6 to both sides and divide both sides by 5
b)
Add 6 to both sides and multiply both sides by 5
c)
Subtract 6 from both sides then multiply both sides by 5
d)
Subtract 6 from both sides then divide both sides by 5
28.
A taxi charges $3, plus $1.50 for each mile traveled. Mr. Lewis rode in the taxi from his home to the airport and was charged $30. How many miles does Mr. Lewis live from the airport?
a)
18 miles
b)
20 miles
c)
22 miles
29.
Terry had his car repaired at Ace Auto. He was charged $50 per hour of labor plus $150 for parts. His total bill for the repair before tax was $375. How many hours of labor was Terry charged for?
a)
2.5 hours
b)
4.5 hours
c)
7.5 hours
d)
10.5 hours
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