Free Printable Solving Inequalities

1.

Solve 48 > 6x

2.

Solve -3x + 8 > 11

3.

Solve 15x + 60 < 15

4.

If x = -1, then which of the following inequalities makes a true statement?

a)

4x + 9 > 20

b)

-4x – 5 > -15

c)

-3x + 15 > 18

d)

-5x – 15 > -2

5.

Xavier needs to bike a minimum of 80 miles this week for his training. If he has already biked 14 miles this week, then how many miles should he bike on each of the 6 remaining days this week?

a)

x ≥ 12

b)

x ≥ 11

c)

x ≤ 10

d)

x ≥ 10

6.

Which inequality matches this graph?

a)

x>-3.5

b)

$x\ge-3.5$

c)

x<-3.5

d)

$x\le-3.5$

e)

-2>x

7.

Which inequality matches this graph?

a)

x>-5

b)

$x\le-3.5$

c)

x<-5

d)

$x\ge-5$

e)

-2>x

8.

Which inequality matches this graph?

a)

-5>x

b)

$x\le-3.5$

c)

-2<x

d)

x>-5

e)

-2>x

9.

Which graph best matches the solution to this inequality?

$-x\ -\ 8\ \le\ 16$

a)

b)

c)

d)

10.

Solve $\frac{1}{3}x\ -\ 9\ \ge3$

11.

Solve: $-3x\ +\ 12\ <\ 18$

12.

A fifteen-passenger van is rented for a family vacation. The van rental is $75.00 per day, plus a $160.00 insurance fee. Which inequality could be used to find x, the number of days the van can be rented if they want to spend less than $760.00 on the van rental?

a)

75 + 160x < 760

b)

75x + 160 > 760

c)

75 + 160x > 760

d)

75x + 160 < 760

13.

Emily is encouraged to read more than 4 hours each week. It will take her 45 minutes to finish the book she is currently reading, then she will divide the remainder of the time equally among the other six days. Which inequality would help Emily find the number of minutes she should read each day?

a)

6x + 45 < 240

b)

6x + 45 > 240

c)

$6x\ +\ 45\ \ge240$

d)

$6x\ +\ 75\ \le240$

14.

Trevor solves the inequality 2.5x – 10 < 20. He must remove the cards below that are NOT part of the solution set. Which card(s) should he remove?

a)

Cards B and C

b)

Cards A and C

c)

Card C only

d)

Card D only

15.

Paulo’s grandfather gave him a collection of 20 coins. Each month Paulo adds 4 coins to his collection. Which inequality can be used to find m, the number of months after starting his collection when Paulo will have more than 50 coins in his collection

a)

20m + 4 < 50

b)

20 + 4m < 50

c)

20m + 4 > 50

d)

20 + 4m > 50

Solving Inequalities

Total questions: 15

Worksheet time: 30mins

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