Free Printable Multi-Step Equations

1.

8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

2.

2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

3.

5x - 4 + 2x = 3

a)

1

b)

2

c)

3

d)

4

4.

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

a)

4

b)

3

c)

2

d)

1

5.

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

a)

1

b)

2

c)

3

d)

4

6.

-11 + 3(b + 5) = 7

a)

1

b)

-1

c)

3

d)

-3

7.

4x + 10 = -26

a)

4

b)

-4

c)

-9

d)

9

8.

Solve for x.

a)

55

b)

60

c)

15

d)

35

9.

What is the solution?

a)

x = 4

b)

x = 6

c)

x = 96

d)

x = 144

10.

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

a)

- 7

b)

7

c)

14

d)

- 14

11.

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

12.

5(x - 3) + 2x = 27

a)

x = 3

b)

x = 42/15

c)

x = 30/7

d)

x = 6

13.

8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

14.

12+5w-4w=15

a)

w=1

b)

w=3

c)

w=5

d)

w=4

15.

3(x-6)+2x=22

a)

x=8

b)

x=2

c)

x=18

d)

x=3

16.

10 + 2x = 16

a)

2

b)

3

c)

4

d)

1

17.

Solve.

$6a\ +\ 5a\ =\ -11$

a)

$a\ =\ 0$

b)

$a\ =\ 1$

c)

$a\ =\ -1$

d)

None of these

18.

Solve.
$-6n\ -2n\ =\ 16$

a)

$n\ =\ -2$

b)

$n\ =\ 2$

c)

$n\ =\ 8$

d)

$n=\ -8$

19.

$4x\ +\ 6\ +\ 3\ =\ 17$

a)

$x\ =\ 6.5$

b)

$x\ =\ -6.5$

c)

$x\ =\ -2$

d)

$x\ =2$

20.

Solve.
$a\ -2\ +\ 3\ =\ -2$

a)

$a\ =\ -7$

b)

$a\ =\ -3$

c)

$a\ =1$

d)

$a\ =0$

21.

$50\ =-5\left(6n\ +\ 8\right)$

a)

$n\ =9$

b)

$n\ =\ -3$

c)

$n\ =-10$

d)

$n\ =\ -20$

22.

$49\ =\ -5n\ -\ 2n$

a)

$n\ =\ 0$

b)

$n\ =3$

c)

$n\ =\ 5$

d)

$n\ =\ -7$

23.

$r\ +\ 11\ +\ 8r\ =\ 29$

a)

$r\ =0$

b)

$r\ =\ 1$

c)

$r\ =\ 2$

d)

$r\ =\ 3$

24.

$-5\left(4x\ -\ 2\right)\ =\ -2\left(3\ +6x\right)$

a)

$x\ =\ 2$

b)

$x\ =\ 8$

c)

$x\ =\ -2$

d)

$x\ =\ -8$

25.

$5\left(2x\ +\ 6\right)\ =\ -4\left(-5\ -2x\right)+\ 3x$

a)

$x\ =-20$

b)

$x\ =\ 20$

c)

$x\ =-10$

d)

$x\ =\ 10$

26.

$24\ =\ 3\left(3x\ -7\right)$

a)

$x\ =\ -9$

b)

$x\ =\ 5$

c)

$x\ =3$

d)

$x\ =\ 7$

27.

Simplify the expression: 2x + 1 + 7x

a)

10x

b)

10

c)

9x + 1

d)

9 + 1x

28.

Simplify the expression: 7v + 2 + 12 + 2v

a)

23

b)

23v

c)

9 + 14v

d)

9v + 14

29.

5a + 2a + 2a

a)

9a

b)

8a

c)

7a

30.

6x + 2x + 1 + 4

a)

8x + 5

b)

2x - 3

c)

4x - 2

d)

8x + 12

31.

-2x + 11 + 6x

a)

8x+11

b)

4x +11

c)

4x

d)

15x

32.

2f + f

a)

3f

b)

2f

c)

f

33.

-(n - 8) = -2

a)

6

b)

10

c)

-10

d)

-6

34.

Solve the equation:
^x/₃+ 10 = 15

a)

75

b)

15

c)

25

d)

5

35.

-15 = 5a +12- 2a + 6

a)

-11

b)

-3

c)

10

d)

7

36.

3a + 9 + 4a = 2

a)

-1

b)

1

c)

no solution

d)

-7

37.

4(a + 3) = -32

a)

-11

b)

-44

c)

-20

d)

-8

38.

2 + 14a = -8 + 9a

a)

-2

b)

3

c)

5

d)

-10

39.

22 + 2a = 37 + 6 + a

a)

21

b)

-21

c)

5

d)

6

40.

The objective when solving an equation is to....

a)

isolate the variable.

b)

check the solution.

c)

guess and check.

d)

Combine Like Terms.

41.

Solve the equation:
-5x = 25

a)

x = 20

b)

x = -20

c)

x = -5

d)

x = 5

42.

3c = 12

a)

36

b)

4

c)

15

d)

9

43.

Simplify by combining like terms

a)

12a - 8 b

b)

-1a - 5b

c)

-2a - 4b

d)

2a + 4b

44.

Solve

a)

-2/3

b)

6

c)

-3

d)

-6

45.

Solve

a)

4

b)

-4

c)

No Solution

d)

Infinitely Many Solutions

46.

Solve

a)

5

b)

2

c)

No Solution

d)

Infinitely Many Solutions

47.

Solve

a)

8

b)

-1

c)

6

d)

-3

48.

Solve

a)

9

b)

-19

c)

-10

d)

No solution

49.

Solve

a)

3

b)

8.67

c)

7

d)

7.5

50.

Solve

a)

y < 6

b)

y < 16

c)

3y < 16

d)

y < -6

51.

Ms. Moya has received 13 Starbucks cards from students and generally gets 2 more each year she teaches. Ms. Powers has only ever been given 1 Starbucks gift card but plans to get 5 more each year she teaches. Which equation models the situation to find the number of years before they have the same number of Starbucks cards?

a)

13(2y) = 1(5y)

b)

13y + 2 = 1y + 5

c)

13 - 2y = 1 - 5y

d)

13 + 2y = 1 + 5y

52.

Solve

a)

2

b)

-8

c)

No Solution

d)

Infinitely Many Solutions

53.

Solve

a)

h > -8

b)

h < 8

c)

h < -5

d)

h > -10

54.

Which equation will end in "no solution"?

a)

2w - 11 = 3w + 5

b)

2(w + 8) = 2(2w - 19)

c)

w + 7 + w = 2w - 9

d)

2w - 6 = 2(w - 10) + 5w

55.

Solve

a)

7

b)

9

c)

No solution

d)

Infinitely Many Solutions

56.

Which inequality shows the graph?

a)

A

b)

B

c)

C

d)

D

57.

Solve

a)

-16

b)

-8

c)

9

d)

-4

58.

Bennett has already run 3 miles this week and plans to run 2 more each day. Other Bennett has not started running yet but plans to run 3 miles each day. After how many days will they have run the same total number of miles?

a)

3 days

b)

2 days

c)

5 days

d)

Bennett(s) can't run

59.

Simplify by combining like terms:

5x - 2 + 11 - 13x

a)

3x - 2

b)

7x + 8

c)

-8x + 9

d)

8x - 9

Multi-Step Equations

Total questions: 59

Worksheet time: 5hrs 55mins

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