WorksheetsSolving Inequalities
Total questions: 12
Worksheet time: 20mins
Name
Class
Date
1.
8x ≥ -32
a)
x ≥ -4
b)
x ≥ 4
c)
x ≤ -4
d)
x ≥ 4
2.
4x - 2 ≤ -22
a)
x ≥ -5
b)
x ≥ -6
c)
x ≤ -6
d)
x ≤ -5
3.
Pick the correct letter for:
6 > x
6 > x
a)
A
b)
B
c)
C
d)
D
4.
Which of the following inequalities would require you to flip the sign when solving?
a)
2x < 3
b)
3x > - 9
c)
-4x ≥ 10
d)
5x ≤ 15
5.
Solve:
6x+10>5x-12
6x+10>5x-12
a)
x>2
b)
x<2
c)
x<-22
d)
x>-22
6.
Does the sign need to flip when solving?
m - 5 > 8
m - 5 > 8
a)
Yes
b)
No
7.
You and your friend are planning to walk across an old bridge. The bridge can hold at most 1000 pounds. The total weight of the people currently on the bridge is 675 pounds. You weigh 156 pounds.Write and solve an inequality that represents how much your friend can weigh within the limits of the bridge.
a)
X ≤ 169
b)
X < 169
c)
X < 156
d)
X > 156
8.
Solve:
5x - 5 > 2x + 13
5x - 5 > 2x + 13
a)
x > 6
b)
x < 6
c)
x > -6
d)
x < -6
9.
Solve:
a)
A
b)
B
c)
C
d)
D
10.
You order a new pair of running shoes from a website that offers free shipping on orders of $75 or more. Your shoes cost $69.95. Write and solve an inequality that represents how much more you must spend to get free shipping.
a)
X > 5.05
b)
X ≥ 5. 05
c)
X > 69.95
d)
X ≥ 69.95
11.
What inequality does the number line graph represent?
a)
-x + 4 ≥ -1
b)
-2x + 3 > -7
c)
-x + 1 < -4
d)
2x + 3 ≥ 13
12.
Solve:
-4(-7-5x) > 188
-4(-7-5x) > 188
a)
x < -32
b)
x > -32
c)
x < 8
d)
x > 8
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