Free Printable One/Two/Multi Step Equations

Free Printable Worksheets

Worksheets

One/Two/Multi Step Equations

Total questions: 77

Worksheet time: 2hrs 52mins

Name

Class

Date

1.

$\frac{r}{10}+4=5$

a)

r=10

b)

r=3

c)

r=7

d)

r=-6

2.

3y-2=-29

a)

y=9

b)

y=-9

c)

y=11

d)

y=-9

3.

$\frac{z}{2}+5=3$

a)

z=-16

b)

z=4

c)

z=16

d)

z=-4

4.

4w-9=-9

a)

w=45

b)

w=0

c)

w=2

d)

w=7

5.

-12a+4=100

a)

-8

b)

12

c)

8

d)

-12

6.

$6+\frac{x}{2}=4$

a)

-4

b)

4

c)

20

d)

-20

7.

$-2=2+\frac{x}{4}$

a)

16

b)

0

c)

-16

d)

-4

8.

$-15=-4t+5$

a)

-5

b)

2

c)

5

d)

-2

9.

$-6=\frac{x}{2}-10$

a)

-32

b)

8

c)

32

d)

-8

10.

2r+10=-2

a)

4

b)

-4

c)

6

d)

-6

11.

What is the inverse operation of addition?

a)

subtraction

b)

addition

c)

multiplication

d)

division

12.

What is the inverse operation of subtraction?

a)

subtraction

b)

addition

c)

multiplication

d)

division

13.

What is the inverse operation of multiplication?

a)

subtraction

b)

addition

c)

multiplication

d)

division

14.

What is the inverse operation of division?

a)

subtraction

b)

addition

c)

multiplication

d)

division

15.

How would you solve this equation?

$x+8=-11$

a)

Subtract 8 from both sides

b)

Add 8 to both sides

c)

Subtract 11 from both sides

d)

Add 11 to both sides

16.

How would you solve this equation?

$-2+y=10$

a)

Add 2 to both sides

b)

Subtract 2 from both sides

c)

Add 10 to both sides

d)

Subtract 10 from both sides

17.

How would you solve this equation?

$-4n=40$

a)

Add 4 to both sides

b)

Subtract 40 from both sides

c)

Divide both sides by -4

d)

Multiply both sides by -4

18.

How would you solve this equation?

$\frac{\ \ \ x}{-5}=-8$

a)

Add 5 to both sides

b)

Multiply both sides by -5

c)

Divide both sides by -5

d)

Add 8 to both sides

19.

What is the first step to solve this equation?

$-2y+8=-16$

a)

Subtract 8 from both sides

b)

Add 2 to both sides

c)

Divide both sides by -2

d)

Add 16 to both sides

20.

What is the first step to solve this equation?

$\frac{n}{3}-11=-4$

a)

Add 11 to both sides

b)

Multiply both sides by 3

c)

Add 4 to both sides

d)

Subtract 3 from both sides

21.

Solve this equation: Answer as a number only (no variable or =)

$x+7=-11$

(a)

22.

Solve this equation: Answer as a number only (no variable or =)

$y\ -\ 12\ =\ -20$

(a)

23.

Solve this equation: Answer as a number only (no variable or =)

$-10n=-50$

(a)

24.

Solve this equation: Answer as a number only (no variable or =)

$\frac{\ \ \ x}{-4}=-13$

(a)

25.

Solve this equation: Answer as a number only (no variable or =)

$3x+7=-17$

(a)

26.

Solve this equation: Answer as a number only (no variable or =)

$\frac{n}{6}-3=5$

(a)

27.

Translate the equation from words to Algebra:

5 times a number x minus 4 is equivalent to 16

a)

5x-4=16

b)

5xx-4=16

c)

4-5x=16

d)

16-4=5x

28.

Translate the equation from words to Algebra:

8 added to the quotient of x and negative 2 is negative 16

a)

$8+\left(\frac{\ x}{-2}\right)=-16$

b)

$8+\left(x--2\right)=-16$

c)

$8+\left(\frac{x}{2}\right)=16$

d)

$8+\left(n-2\right)=16$

29.

Translate the equation from words to Algebra:

3 times the sum of n and 8 is equal to 30

a)

$3\left(n+8\right)=30$

b)

$3\cdot n+8=30$

c)

$3\left(n-8\right)=30$

d)

$3\cdot n-8=30$

30.

The quotient of 32 and n added to negative 10 is the same as negative 6

a)

$-10+\frac{32}{n}=-6$

b)

$-10+\frac{n}{32}=-6$

c)

$\frac{32}{n}+10=-6$

d)

$\frac{n}{32}+10=6$

31.

What would be the best first step to solving the equation?
-3=x+5

a)

add 3 to both sides

b)

subtract 5 from both sides

c)

add 5 to both sides

d)

subtract -5 from both sides

32.

What would be the best first step to solving the equation in one step?

a)

multiply both sides by 3

b)

multiply both sides by -3

c)

divide both sides by -3

d)

add 3 to each side

33.

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

a)

isolate the variable.

b)

check the solution.

c)

guess and check.

d)

Combine Like Terms.

34.

Solve for x:
8x - 10 = -34

a)

4

b)

3

c)

-3

d)

-24

35.

What is the first step in solving this equation:
5x + 7 = 12

a)

Divide by 5

b)

Subtract 5

c)

Multiply by 7

d)

Subtract 7

36.

Solve 9 + 3x = 10

a)

2/3

b)

1/3

c)

-1/3

d)

4

37.

4x = 72

a)

x = 18

b)

x = 68

c)

x = 288

d)

x = 62

38.

z - 33 = 234

a)

z = 267

b)

z = 231

c)

z = 317

d)

z = 281

39.

x + 4 = 11

(a)

40.

What is the inverse operation of subtraction?

a)

Omari

b)

multiplication

c)

addition

d)

division

41.

What is the inverse operation of division?

a)

hula hoop

b)

addition

c)

subtraction

d)

multiplication

42.

$\frac{x}{8}=\ 2$

(a)

43.

What is the inverse operation of multiplication?

a)

addition

b)

division

c)

subtraction

d)

raspberry

44.

6x = 6

a)

36

b)

1

c)

12

d)

0

45.

-12 = -4x

a)

x = 3

b)

x = -3

c)

x = 4

d)

x = -4

46.

6 ( 2n + 5 ) = 66

a)

3

b)

5.08

c)

8

d)

432

47.

$96=6\left(k+8\right)$

a)

$12$

b)

$8$

c)

$-4$

d)

$9$

48.

What is the first step in solving this equation?

a)

add 4 to both sides

b)

distribute the 4

c)

subtract 4 to both sides

d)

subtract 12 to both sides

49.

What will the equation look like after you distribute?

a)

-6x - 8 = 10

b)

-6x + 8 = 10

c)

-5x - 6 = 10

d)

-5x + 6 = 10

50.

What is the first step in solving this equation?

a)

add 4 to both sides

b)

distribute the 4

c)

subtract 4 to both sides

d)

subtract 12 to both sides

51.

Simplify then Solve.

3(2x + 7) = 45

a)

x = 4

b)

x = 6

c)

x = 2

d)

x = 8

52.

Simplify then Solve.

2(5b - 3) = 24

a)

b = 5

b)

b = 6

c)

b = 4

d)

b = 3

53.

Simplify then Solve.

12(m - 3) = 60

a)

m = 8

b)

m = 10

c)

m = 4

d)

m = 12

54.

8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

55.

6(3x-5) -7x=25

a)

x= 5

b)

x= 6

c)

x= -5

d)

x= -6

56.

Solve the following equation

$4\left(2x-3\right)+3x=32$

a)

x = 1.818

b)

x = - 4

c)

x = 4

d)

x = 2

57.

Solve the following equation
$-7\left(a-2\right)+5a=26$

a)

a = -20

b)

a = -14

c)

a = -6

d)

a = 1

58.

Solve the equation.

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

a)

x = 4

b)

x = 3

c)

x = 2

d)

x = 1

59.

Solve the equation below. Distribute FIRST and then combine like terms:

3 (4 – 2x) + 4x = 2

a)

x = 5

b)

x = 1

c)

x = –1

d)

x = –5

60.

Solve for x. Distribute then Combine Like Terms:

3(2x – 5) – 4x = –19

a)

x = –2

b)

x = 2

c)

x = 10

d)

x = –11

61.

What is the firs step in solving for the variable?

-11\ +\ 3\left(b\ +\ 5\right)\ =\ 7

a)

Distributive property

b)

Combine Like Terms

c)

Move the variables to the same side

d)

Solve for the variable

62.

8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

63.

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

a)

- 7

b)

7

c)

14

d)

- 14

64.

6x + 3(-x + 11) = 3

a)

-10

b)

10

c)

15

d)

-15

65.

-11 + 3(b + 5) = 7

a)

1

b)

-1

c)

3

d)

-3

66.

8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

67.

6(3x-5) -7x=25

a)

x= 5

b)

x= 6

c)

x= -5

d)

x= -6

68.

Solve the following equation

$4\left(2x-3\right)+3x=32$

a)

x = 1.818

b)

x = - 4

c)

x = 4

d)

x = 2

69.

Solve the following equation
$-7\left(a-2\right)+5a=26$

a)

a = -20

b)

a = -14

c)

a = -6

d)

a = 1

70.

Solve the equation.

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

a)

x = 4

b)

x = 3

c)

x = 2

d)

x = 1

71.

Solve the equation below. Distribute FIRST and then combine like terms:

3 (4 – 2x) + 4x = 2

a)

x = 5

b)

x = 1

c)

x = –1

d)

x = –5

72.

Solve for x. Distribute then Combine Like Terms:

3(2x – 5) – 4x = –19

a)

x = –2

b)

x = 2

c)

x = 10

d)

x = –11

73.

What is the firs step in solving for the variable?

-11\ +\ 3\left(b\ +\ 5\right)\ =\ 7

a)

Distributive property

b)

Combine Like Terms

c)

Move the variables to the same side

d)

Solve for the variable

74.

8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

75.

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

a)

- 7

b)

7

c)

14

d)

- 14

76.

6x + 3(-x + 11) = 3

a)

-10

b)

10

c)

15

d)

-15

77.

-11 + 3(b + 5) = 7

a)

1

b)

-1

c)

3

d)

-3

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