Free Printable Multi-Step Equations Practice

1.

8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

2.

3x + 2(4x - 4) = 3

a)

4

b)

3

c)

2

d)

1

3.

What is the inverse operation of division?

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

4.

Solve

-19 = -8 (-4+a) - (2a+1)

a)

-1

b)

14

c)

-5

d)

5

5.

Solve

-19 = -8 (-4+a) - (2a+1)

a)

-1

b)

14

c)

-5

d)

5

6.

3x + 2(4x - 4) = 3

a)

4

b)

3

c)

2

d)

1

7.

Is 7 a solution to the equation?

3x+8-x = 5x-4

a)

yes

b)

maybe

c)

no

8.

3x + 2(4x - 4) = 3

What is the solution to the equation?

a)

4

b)

3

c)

2

d)

1

9.

8v - 4(v + 8) = 8

What is the solution to the equation?

a)

2

b)

10

c)

4

d)

-4

10.

2x + 3(5x - 7) = 47

a)

x = 1

b)

x = 2

c)

x = 3

d)

x = 4

11.

3(4r - 1) + 5 = 26

a)

-1

b)

2

c)

-2

d)

4

12.

5x - 4 + 2x = 3

a)

1

b)

2

c)

3

d)

4

13.

Solve the equation:
4 - 2(x - 3) = 24

a)

- 7

b)

7

c)

14

d)

- 14

14.

What is the solution to the following equation?

3x + 2 = 10.4

a)

2.8

b)

1.47

c)

37.2

d)

4.13

15.

What value of p makes this equation true?

7p = 14 +7p

2

a)

1/7

b)

7

c)

2

d)

1/2

16.

Simplify the expression using the distributive property:

10(2x-7)

a)

20x+70

b)

20x-7

c)

20x+7

d)

20x-70

17.

What is the first step to solve this equation?

7x-9=40

a)

divide both sides by 7

b)

add 9 to both sides

c)

subtract 9 to both sides

d)

multiply both sides by 7

18.

Solve the equation:

7x-9=40

a)

x=9

b)

x=-7

c)

x=7

d)

x=31/7

19.

Solve the equation:

-3y+5=8y-6

a)

y=1

b)

y=-2

c)

y=-2.2

20.

Solve the equation:

8m+10=3m+25

a)

m = 35/11

b)

m = -5

c)

m = 7

d)

m=5

21.

10x-8 = 2x+5+7x

a)

No Solution

b)

Infinite Solutions

c)

x=3

d)

x=13

22.

Which of the following is an appropriate first step to solve the equation: $5x\ -7\left(x+1\right)=3x\ -9$

a)

subtract 1

b)

add 5x and 3x

c)

subtract 5 and 7

d)

distribute the -7 to x and 1

23.

Solve the equation:

5x-7(x-1)=3x-9

a)

x = -2

b)

x=0.4

c)

x = -2/5

d)

x =8/5

24.

What is the first step to complete when solving this equation?

10-3y=4

a)

Add 10

b)

Subtract 10

c)

Add 3

d)

Divide by -3

25.

$3c+5=23$

a)

c = 3

b)

c = 6

c)

c = 7

d)

c = 18

26.

$8v-4(v+8)=8$

a)

v = 2

b)

v = 10

c)

v = 4

d)

v = -4

27.

$2x-3+4x=27$

a)

x = 12

b)

x = 4

c)

x = 5

d)

x = 15

28.

$18=3(3x-6)$

a)

x = 4

b)

x = $\frac{1}{44}$

c)

x = - 44

d)

x = - 4

29.

$5x-4+2x=3$

a)

1

b)

2

c)

3

d)

4

30.

$-11+3(b+5)=7$

a)

b = 1

b)

b = -1

c)

b = 3

d)

b = -3

31.

$5(x-3)+2x=27$

a)

x = 3

b)

x = $\frac{42}{15}$

c)

x = $\frac{30}{7}$

d)

x = 6

32.

$\frac{x}{2}-5=3$

a)

x = -2

b)

x = 2

c)

x = 16

d)

x = 8

33.

$\frac{x}{3}+10=15$

a)

75

b)

15

c)

25

d)

5

34.

$3(x-1)\ -2x=9$

a)

x = 12

b)

no solution

c)

x = 10

d)

x = 6

35.

$4x+10=-26$

a)

4

b)

-4

c)

-9

d)

9

36.

$3x+2(4x-4)=3$

a)

4

b)

3

c)

2

d)

1

37.

$4-2(x-3)=24$

a)

- 7

b)

7

c)

14

d)

- 14

38.

$10+2x=16$

a)

2

b)

3

c)

4

39.

What is the first step in solving the equation

2a-4(a-5)=10

a)

Add 4 to both sides

b)

Add the 2a and a

c)

Distribute 4 to a and -5

d)

Distribute -4 to a and -5

40.

$5x-14-8x=4$

a)

x = 6

b)

x = -6

c)

x = $-\frac{18}{3}$

d)

x = $\frac{10}{3}$

41.

$7x-4-8x=3$

a)

x = 7

b)

x = -7

c)

x = $\frac{2}{7}$

d)

x = 11

42.

$-4=8x-6x$

a)

2

b)

-2

c)

3

d)

0

43.

The sum of three consecutive numbers is 87. What is the smallest of the three numbers?

a)

84

b)

29

c)

28

d)

17

44.

Alina has $500 in her bank account. Every week she withdraws $45. Write an equation where x represents the number of weeks and y represents the amount of money in her bank account.

45.

A submarine submerges into the water at a rate of 25 meters per second. Write an equation where x represents the seconds and y represents the meters submerged.

46.

Timmy owes Martha $200. Every day he pays her $5 Write an equation where x represents the number of days and y represents the money.

47.

Matthew drinks 4 bottles of milk every day. Write an equation where x represents the number of days and y is the total number of bottles he drinks.

48.

Martin spent $45 on a video game. Every week his parents give him $50 for doing his homework. Write an equation where x represents the number of weeks and y represents the amount of money he has.

49.

Melanie rented a kayak at the beach for $3.50 per hour. Write an equation where x represents the number of hours and y represents the money spent.

50.

$\frac{x+6}{5}\ =\ 10$

What is the first step?

a)

Subtract 6

b)

Subtract 10

c)

Multiply by 5

d)

Divide by 5

51.

Write an equation

Christian has $1200 set aside in a savings account and earns $400 each week. If Christian donates $200 to charity, and spends $410 each week, how many weeks can he continue to spend without running out of money?

a)

1200 + 400w = 200 + 410w

b)

1200 - 400w = -200 + 410w

c)

1200w - 400 = 200w - 410

d)

1200 + 410w = 200 + 400w

52.

Solve for x

5x - (2x + 2) = 5

a)

x = 1

b)

x = 3

c)

x = -1

d)

x = 5

53.

Write an equation

Tamera has two amusement parks to choose from. The first charges $8 per hour, and they give a $3 student discount off the total price. The second charges $7.25 per hour. How many hours would Tamera have to stay at each park for the cost to be the same?

a)

3x + 8 = 7.25

b)

8x - 3 = 7.25x

c)

7.25x + 3x = 8

d)

8x + 3 = 7.25x

54.

$\frac{x}{2}-5=3$

a)

x = -2

b)

x = 2

c)

x = 16

d)

x = 8

55.

$\frac{x}{3}+10=15$

a)

75

b)

15

c)

25

d)

5

Multi-Step Equations Practice

Total questions: 55

Worksheet time: 3hrs 0mins

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