Free Printable Solving Equations and Inequalities

1.

Solve: 3(x-4) = -3

(a)

2.

x + 2x + 5 + x = 25

(a)

3.

-6x+3(5x+10)=-24

(a)

4.

Solve the equation.

$18-4v=42$

(a)

5.

Solve the equation.

$\frac{\left(c-5\right)}{4}=3$

(a)

6.

Solve the equation.

$\frac{5}{2}z-8=-3$

(a)

7.

Solve the equation.

$2x+1=x+10$

(a)

8.

solve for x

(a)

9.

1/2(8x - 14) = 17

(a)

10.

Solve for the variable.

$78=5\ \left(3y-2\right)+7y$

(a)

11.

-9x + 7 ≥ 25

a)

x ≥ -3.6

b)

x ≤ 2

c)

x ≥ -2

d)

x ≤ -2

12.

Which graph shows the solution to the given inequality?

$-5+\frac{a}{10}<-5$

a)

b)

c)

d)

13.

Solve.

$-5v+11\ge v-1$

a)

$v\ge\frac{5}{2}$

b)

$v\le\frac{5}{2}$

c)

$v\ge2$

d)

$v\le2$

14.

Solve.

$15-v\le v+5+6$

a)

$v\ge2$

b)

$v\le2$

c)

No Solution

d)

All Real Numbers

15.

Which graph shows the solution to the given inequality?

$-8\left(-6x+7\right)+2>90$

a)

b)

c)

d)

16.

The sum of three consecutive integers is 48. What is the smallest number in the group?

a)

16

b)

15

c)

17

d)

24

17.

Which of the following setups would be used to find four consecutive integers?

a)

n
n+2
n+4
n+6

b)

n
2n
4n
6n

c)

n+1
n+2
n+3
n+4

d)

n
n+1
n+2
n+3

18.

Find four consecutive odd integers whose sum is 128.

a)

32, 34, 37, 38

b)

27, 29, 31, 33

c)

29, 31, 33, 35

d)

25, 27, 29, 31

19.

Which choice models this situation?

Last week, James worked 35 hours in 5 days on the farm. He worked the same number of hours each day. How many hours did he work each day?

a)

h - 5 = 35

b)

h + 5 = 35

c)

5h = 35

d)

h/5 = 35

20.

What equation matches this situation?
John wants to buy an MP3 Player that costs $30.98. How much change did he receive if he gives the cashier $40.

a)

40 + c = 30.98

b)

30.98 + c = 40

c)

c - 40 = 30.98

d)

c - 30.98 = 40

21.

The sum of x and ten is twenty.

a)

x - 10 = 20

b)

x + 10 = 20

c)

x + 10 = 25

d)

10x = 20

22.

Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.65 per mile. Katie has no more than $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

23.

The Starlight Bowling Alley charges $6 to rent shoes and $8 per game. Cameron has only $42 to spend. Which inequality represents this scenario if “x” represents the number of games Cameron can play?

a)

6x + 8 ≥ 42

b)

8x + 6 ≤ 42

c)

6x + 8 > 42

d)

8x + 6 < 42

24.

Which situation can be represented by the inequality
15 + 6x ≤ 100?

a)

Lazer Zone charges $15 plus $6 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?

b)

Lazer Zone charges $6 plus $15 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?

c)

Lazer Zone charges $15 plus $6 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?

d)

Lazer Zone charges $6 plus $15 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?

25.

Match the inequality to the word problem.Katie wants to have at least $200 in her bank account by the end of the month. She currently has $25 in her bank account. Katie makes $12 for each dog that she walks. How many dogs would Katie have to walk to reach her goal of $200?

a)

25 - 12x ≥ 200

b)

25 + 12x ≥ 200

c)

13x ≥ 200

d)

25 + 12x > 200

Solving Equations and Inequalities

Total questions: 25

Worksheet time: 2hrs 52mins

Similar Resources on Wayground