Free Printable Solving Two Step Equations

1.

Solve -2.5x - 4.5 = 0.5

a)

x = -1.6

b)

x = 2

c)

x = -2

d)

x = 4

2.

$\frac{1}{4}x\ -\ 3\ =\ -15$

a)

x = -12

b)

x = -48

c)

x = 72

d)

x = 13

3.

$-5x\ -\ 7\ =\ 13$

a)

x = 14

b)

x = 18

c)

x = -4

d)

x = -3

4.

3x - 14 = -20

a)

x = -6

b)

x = 3

c)

x = -3

d)

x = 12

5.

$7\ =\ 4\ -\ 2y$

a)

y = -3

b)

y = $-\frac{3}{2}$

c)

y = -4

d)

y = 2

6.

67 = 11n + 1

a)

n = 6

b)

n = -6

c)

n = 4

d)

n = -4

7.

4x + 7 = 23

a)

x = 16

b)

x = 4

c)

x = 9

d)

x = 12

8.

What is the first step to solve this equation:
11 - 3x = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

9.

20 = 2 - a

a)

a= 18

b)

a= -18

c)

a= -10

d)

a= 12

10.

$7\ +\ \frac{a}{3}\ =\ 5$

a)

a= -2

b)

a= -6

c)

a= 3

d)

a= 15

11.

3c + 5 = 23

a)

c = 3

b)

c = 6

c)

c = 7

d)

c = 18

12.

-4x+1=21

a)

x=120

b)

x=5

c)

x=30

d)

x=-5

13.

The steps in solving 5b - 6 = 24 are:

a)

Add 6 to both sides and divide both sides by 5

b)

Add 6 to both sides and multiply both sides by 5

c)

Subtract 6 from both sides then multiply both sides by 5

d)

Subtract 6 from both sides then divide both sides by 5

14.

Which equation would describe "two times a number plus five equals 15"?

a)

x + 5 = 15

b)

2x + 5=15

c)

x + 2(5) = 15

d)

2(x + 5) = 15

15.

A taxi charges $3, plus $1.50 for each mile traveled. Mr. Lewis rode in the taxi from his home to the airport and was charged $30. How many miles does Mr. Lewis live from the airport?

a)

18 miles

b)

20 miles

c)

22 miles

16.

Terry had his car repaired at Ace Auto. He was charged $50 per hour of labor plus $150 for parts. His total bill for the repair before tax was $375. How many hours of labor was Terry charged for?

a)

2.5 hours

b)

4.5 hours

c)

7.5 hours

d)

10.5 hours

17.

7k - 14 = 42

a)

k = 7

b)

k = -8

c)

k = 0

d)

k = 8

18.

-12 = 24 + 4b

a)

b = 3

b)

b = 0

c)

b = -9

d)

b = 9

19.

3g - 5 =17

a)

g = 10

b)

g = -7

c)

g = 7.33333333333

d)

g = 6

20.

9=4g+13

a)

g = 1

b)

g = -1

c)

g = 0

d)

g = 3

21.

$10=\ \frac{s}{2}\ +\ 7$

a)

s = -6

b)

s = 6

c)

s = 3/2

d)

s = -3/2

22.

9 = 2s + 1

a)

s = 4

b)

s = -4

c)

s = 3.5

d)

s = 5

23.

3n + 4 = 7

a)

n = 1

b)

n = -1

c)

n = 3.67

d)

n = 2

24.

-4 = 2t - 2

a)

t = -1

b)

t = 1

c)

t = 4

d)

t = 0

25.

8 = 4v + 12

a)

v = -1

b)

v = 1

c)

v = 0

d)

v = -10

26.

The goal of solving two-step equations is to:

a)

francine

b)

Find the coefficient

c)

Find the value of the variable

27.

What is the first step to solve this equation:
11 - 3x = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

28.

Solve 12 - 6y = 24

a)

-1

b)

-2

c)

-3

d)

-4

29.

Which choice models this situation? Marcus needs to sell 25 tickets to a fundraiser by Friday. So far, he has sold 9 tickets. How many tickets does he still need to sell?

a)

t - 9 = 25

b)

t + 9 = 25

c)

9t = 25

d)

t/9 = 25

30.

Which choice models this situation?

Lisa finished a race in 58 seconds. This was 4 seconds faster than her best practice time. What was Lindsey's best practice time?

a)

t + 4 = 58

b)

t - 4 = 58

c)

4t = 58

d)

t/4 = 58

31.

Which choice models this situation?

Taylor has read 125 pages in a book. The book has a total of 262 pages. How many pages does she have left to read to finish the book?

a)

p - 125 = 262

b)

p + 125 = 262

c)

125p = 262

d)

p/125 = 262

32.

Which choice models this situation?

Last week, Tina worked 35 hours in 5 days. She worked the same number of hours each day. How many hours did she work each day?

a)

h - 5 = 35

b)

h + 5 = 35

c)

5h = 35

d)

h/5 = 35

33.

y - 4.6 = 12

a)

16.6

b)

5.8

c)

7.4

d)

Answer not Given

34.

What is the inverse operation of division?

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

35.

Which equation has x = 5 as the solution?

a)

x + 15 = 10

b)

2x = 5

c)

2x = 10

36.

What what is the inverse operation of subtraction?

a)

addition

b)

subtraction

c)

multiplication

d)

division

37.

What equation matches this situation?
Robyn had some video games then bought 4 more. Now she has a total of 10 games.

a)

v - 4 = 10

b)

v + 4 = 10

c)

10 - 4 = v

d)

Answer not Given

38.

Solve the equation:
-5x = 25

a)

x = 20

b)

x = -20

c)

x = -5

d)

x = 5

39.

The steps in solving 5b - 6 = 24 are:

a)

Add 6 to both sides and divide both sides by 5

b)

Add 6 to both sides and multiply both sides by 5

c)

Subtract 6 from both sides then multiply both sides by 5

d)

Subtract 6 from both sides then divide both sides by 5

40.

Solve the equation:
x + 7 = 12

a)

x = 5

b)

x = 19

c)

x = 4

d)

x = 84

41.

3x - 5 = -26

a)

x=-21

b)

x=21

c)

x=-7

d)

x=61

42.

Solve for k:
3k + 5 = 23

a)

k = 4

b)

k = 5

c)

k = 6

d)

k = 7

43.

Solve the equation:
x - 4 = -3

a)

x = -7

b)

x = 1

c)

x = 12

d)

x = -12

44.

Solve the equation:
x - 3 = -12

a)

x = 9

b)

x = -15

c)

x = -9

d)

x = 15

45.

Solve the equation:
x - 5.5 = -10.5

a)

x = 15

b)

x = -15

c)

x = 5

d)

x = -5

46.

Solve the equation:
4p = 16

a)

p = 12

b)

p = -12

c)

p = -4

d)

p = 4

47.

Solve the equation:
x - 2.6 = -4.6

a)

x = 2

b)

x = -2

c)

x = 7.2

d)

x = -7.2

48.

Solve the equation:
x/-3 = -4

a)

x = 12

b)

x = 1

c)

x = -1

d)

x = -12

49.

Solve the equation:
-5x = 25

a)

x = 20

b)

x = -20

c)

x = -5

d)

x = 5

50.

Solve the equation:
1/2x = 6

a)

x = 12

b)

x = -12

c)

x = 3

d)

x = -3

51.

Solve the equation:
4p = 16

a)

p = 12

b)

p = -12

c)

p = -4

d)

p = 4

52.

y/3=12

a)

36

b)

-36

c)

4

d)

-4

53.

x - 62 = 123
How should you show your work to isolate the variable and solve the equation?

a)

Add 62 to each side.

b)

Subtract 62 from each side.

c)

Multiply each side by 62.

d)

Add 123 to each side.

54.

Solve the equation
3x = 27.

a)

x = 24

b)

x = 81

c)

x = 9

d)

x = 3

55.

Solve the equation:
-5x = 25

a)

x = 20

b)

x = -20

c)

x = -5

d)

x = 5

56.

5m = 10 solve for m

a)

50

b)

15

c)

5

d)

2

57.

Which equation has x = 5 as the solution?

a)

x + 15 = 10

b)

2x = 5

c)

2x = 10

58.

To solve the equation:

4p = 16

what needs to be done to both sides to isolate the variable?

a)

Add 4

b)

Subtract 4

c)

Multiply by 4

d)

Divide by 4

59.

Two operations that have the opposite effect is called:

a)

Reverse

b)

Inverse

c)

Exverse

d)

Universe

60.

8x-9

What is the variable in this expression?

a)

8

b)

x

c)

9

d)

-9

61.

What do we call a number sentence that has an equal sign?

a)

expression

b)

solution

c)

equation

d)

constant

62.

What do we call a letter in math that represents an unknown number?

a)

coefficient

b)

variable

c)

term

d)

expression

63.

To solve an equation, the goal is to __________ the variable on one side.

a)

Evaluate

b)

Leviate

c)

Isolate

d)

Reciprocate

64.

What do we call the number that is being multiplied by a variable?

a)

Variable

b)

Term

c)

Expression

d)

Coefficient

65.

Solve for x: $4x\ -\ 5\ =\ 35$

a)

10

b)

7.5

c)

-10

d)

-7.5

66.

Solve for x: $14x\ +\ 7\ =\ 7$

a)

1

b)

0

c)

-1

d)

2

67.

Solve for x: $-7x\ -\ 7\ =\ 49$

a)

-6

b)

0

c)

-8

d)

8

68.

19 + a = -50

a)

a = -950

b)

a = -69

c)

a = -31

d)

a = -50/19

69.

x - 8 = -5

a)

13

b)

-13

c)

3

d)

-3

70.

15 = 2a + 7

a)

2

b)

4

c)

12

d)

14

71.

Solve -5t + 9 = 24

a)

-3

b)

3

c)

12

72.

Thirty less than four times a number is fifty

a)

(4 x N) + 30= 50

b)

(4 x N) + 50= 30

c)

4N-30=50

d)

4N - 50= 30

Solving Two Step Equations

Total questions: 72

Worksheet time: 5hrs 17mins

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