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Worksheets

Multiple Step Solving Inequalities

Total questions: 16

Worksheet time: 2hrs 16mins

Name
Class
Date
1.
Which graph matches the inequality
k < 3?
a)
A
b)
B
c)
C
d)
D
2.

Which graph matches the inequality

−2 ≥ n?

a)

A

b)

B

c)

C

d)

D

3.

Solve:

−4x + 14 ≤ 54

a)

x ≥ −10

b)

x ≤ −10

c)

x ≥ 10

d)

x ≤ 10

4.

Solve:

12 ≥ 15 − 6y

a)

y ≤ ½

b)

y ≤ 2

c)

y ≥ ½

d)

y ≥ 2

5.

Solve:

6x + 10 > 5x − 12

a)

x > 2

b)

x < 2

c)

x < −22

d)

x > −22

6.

Solve:

3(x − 2) < 2(x + 9)

a)

x < 24

b)

x > 12

c)

x < 12

d)

x > 24

7.

Solve:

4(2a + 3) < 3(a − 1)

a)

a < −3

b)

a > −3

c)

a < 3

d)

a > 3

8.

Solve:

9 ≥ −2m + 2 − 3

a)

m ≤ 5

b)

m ≤ −5

c)

m ≥ −5

d)

m ≥ 5

9.

Solve:

−3 − 6(4x + 6) > −111

a)

x > 3

b)

x < 3

c)

x < −3

d)

x > −3

10.

Solve:

−p − 4p > −10

a)

p > −2

b)

p > 2

c)

p < −2

d)

p < 2

11.

−2(5 + 6n) < 6(8 − 2n)

a)

no solution

b)

infinite solution

c)

x < 0

d)

x > 0

12.

There are no more than 18 students on the hall.

a)

s > 18

b)

s < 18

c)

s ≤ 18

d)

s ≥ 18

13.

My sister plans to sell more than 250 boxes of cookies.

a)

c > 250

b)

c < 250

c)

c ≤ 250

d)

c ≥ 250

14.

Cell plan A is $40 plus $.04 each text.

Cell plan B is $30 plus $.09 each text.

Write an inequality that shows when plan A is greater that plan B.

a)

40 + .04x > 30 + .09x

b)

40 + .04x < 30 + .09x

c)

40 + .04 > 30 + .09

d)

40 + .04 < 30 + .09

15.
You want to spend at most $1200 on a new laptop.  If you make a $400 down payment, then pay the same amount every month for 12 months.  Which Inequality could be use to solve to find out how much you can pay each month.
a)
12x + 1200 > 400
b)
12x + 400 < 1200
c)
12x + 400 > 1200
d)
12x + 400 < 1200
16.
Triniti had $500 in a saving account at the beginning of the summer. She wants to have at least $200 in the account by the end of the summer. She withdraws $25 each week for food, clothes, and movie tickets. Which inequality represents her situation?
a)
200 + 25x ≥ 500
b)
500 + 25x ≥ 200
c)
500 - 25x ≥ 200
d)
500 - 25x ≤ 200