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Worksheets

Inequalities Review

Total questions: 23

Worksheet time: 2hrs 55mins

Name
Class
Date
1.

Solve.


12n > -48

a)

n > 36

b)

n > 4

c)

n > -4

d)

n < -4

2.

Solve.


89 ≥ 2x + 19

a)

68 ≥ 3

b)

x = 35

c)

x ≥ 38

d)

x ≥ 35

3.

Mr. Angiwe has more than 5 blue shirts.

a)

5 ≥ x

b)

5 < x

c)

5 > x

d)

5 ≤ x

4.

There are at least 12 students who play the flute at Clark.

a)

s < 12

b)

s ≥ 12

c)

s ≤ 12

d)

s > 12

5.
-4x + 14 ≤ 54
a)
x ≥ - 10
b)
x ≤ -10
c)
x ≥ 10
d)
x ≤ 10
6.
Which graph matches the inequality
-2 ≥ n?
a)
A
b)
B
c)
C
d)
D
7.
Which graph matches the inequality
r ≥ -6?
a)
A
b)
B
c)
C
d)
D
8.
Which graph matches the inequality
k < 3?
a)
A
b)
B
c)
C
d)
D
9.

Solve

-9h > -63

a)

h < 7

b)

h > 7

c)

h < -7

d)

h > -7

10.

If four times a number is decreased by 6, the result as at least 30. Find the number the least possible whole number that satisfies these conditions.

a)

9

b)

13

c)

36

d)

4

11.

Two fifths of a number is at least 8. Find the least possible whole number that satisfies these conditions.

a)

0.05

b)

20

c)

40

d)

16

12.

Solve for x.


0.2x - 3 = 15

a)

3.6

b)

60

c)

90

d)

2.4

13.

The green house needs at least 17 more points to move to first place. The students earned 8 green points during lunch. Let p represent the number of points the green house now needs to win.

a)

p > 9

b)

p ≤ 9

c)

p ≥ 25

d)

p ≥ 9

14.
Write an inequality for the situation:
George rented a bike for 4 hours. There was a $10 dollar deposit to pay in addition to the hourly rate. What was the hourly rate if the total came to less than or equal to $65?
a)
10x + 65 ≥ 40
b)
4x + 10 ≤ 65
c)
4x - 10 ≤ 65
d)
65 + 4x ≥ 40
15.

Monica earns $363 a week. Rachel works for $8.25 an hour.Which inequality represents how many hours must Rachel work to make as much as or more than Monica?

a)

363 ≥ 8.25h

b)

363 < 8.25h

c)

363 ≤ 8.25h

d)

363 > 8.25h

16.

Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.65 per mile. Katie has $10 to spend on the taxi ride.

a)

1.75 + 0.65m < 10

b)

1.75 + 0.65m > 10

c)

1.75m + 0.65 < 10

d)

1.75m + 0.65 > 10

17.
-4 + y < -8
a)
y < 4
b)
y < -12
c)
y < -4
d)
y < 12
18.

Pick the correct letter that represents the solution to the inequality:


-2x - 18 > -3

a)

A

b)

B

c)

C

d)

D

19.
Solve
a)
x < -21
b)
x ≥ 21
c)
x = 214
d)
x ≤ -124
20.

Madi's needs $480 to start her cupcake decorating business. She's planning on charging her customers $20 per batch of cupcakes for decorating services. Which inequality and solution shows how many batch of cupcakes she needs to decorate to make a profit?

a)

20h ≤ 480


h > 24

b)

20h > 480


h > 24

c)

20h < 480


h < 24

d)

20h ≥ 480


h ≥ 24

21.

The speed limit at most 45 mph. Luca was going thirty miles per hour and sped up some. Which inequality represents the amount he could speed up, s, and not be speeding?

a)

30 + s ≥ 45 ; s ≥ 15

b)

30 - s ≥ 45 ; s ≥ 15

c)

30 + s ≤ 45 ; s ≤ 15

d)

30 - s ≤ 45 ; s ≤ 15

22.

Miranda withdraws $55 from her account. After the withdrawal, she has more than $160 in her account. Which of the following could be used to find, x, the starting balance before the withdrawal in her account.

a)

x - 55 > 160

b)

x + 55 > 160

c)

x - 55 ≥ 160

d)

x - 55 < 160

23.

Which is the correct equation for the solution shown on the number line.

a)
b)
c)