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Multi Step Equations with Distributive Property and Variables on Both Sides

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

-8(-8x - 6) = -6x - 22

a)

2/5

b)

-1

c)

8/7 

d)

2

2.

Solve the equation:
3x - x + 2 = 4(2x - 1)

a)

x = 7

b)

x = 1

c)

x = -1

d)

x = -3

3.

What is the first thing you should do to simplify an equation?

a)

add

b)

Distributive Property

c)

Combine like terms

d)

divide

4.

Put the Steps or solving Equations with Variables on both sides in order.

a)

Distribute

b)

Combine Like terms

c)

Move the variables to one side

d)

+ or - the constant

e)

⋅ \cdot\  or ÷\div   the coefficient

1)
2)
3)
4)
5)
5.

What is the correct method to solve the equation 4x−3(2x−5)=2x+74x - 3(2x - 5) = 2x + 7 ?

a)

Combine like terms first

b)

Apply the distributive property first

c)

Isolate the variable first

d)

Use inverse operations first

6.

Solve the equation.


22 - 5 (6v-1) = -63

a)

v= -5

b)

v= -2

c)

v= 8

d)

v= 3

7.

Solve the equation.


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

a)

x = 4

b)

x = 3

c)

x = 2

d)

x = 1

8.

3(s + 2) - s = 38

a)

s=3

b)

s=38

c)

s=16

d)

s=1

9.

Solve the equation.


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

a)

x= 5

b)

x= 6

c)

x= -5

d)

x= -6

10.

Solve the equation.


-11 + 3(b + 5) = 7

a)

b = 1

b)

b = -1

c)

b = 3

d)

b = -3

11.

Simplify 7(x - 1) = 23 + 10x

a)

-3

b)

-5

c)

-7

d)

-10

12.

Solve the equation.


-4 (8+5n) = 8

a)

n= -4

b)

n= 3

c)

n= -2

d)

n= 1

13.

3(3x - 6) = 18

a)

x = 4

b)

x = -4

c)

x = 0

d)

x = -12

14.

𝟔𝒙 − 𝟐(𝒙 − 𝟓) = 𝟒𝟔

(a)  

15.

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

a)

x= 5

b)

x= 6

c)

x= -5

d)

x= -6

16.

Solve the equation .

4(c + 5) = 20

4c + 20 =20

Subtract 20 on each side.

Then, divide by 4 on each side.

(a)  

17.

-(8n - 2) = 3 + 10(1 - 3n)

a)

n = 1/2

b)

n = -1/2

c)

n = 2

18.

What is the second step in solving a Multi-Step Equation with variables on both sides.

a)

Distribute

b)

Combine like terms on each side of the equal sign

c)

Move the variable

d)

Solve for the variable

19.

What is the third step in solving a Multi-Step Equation with variables on both sides.

a)

Distribute

b)

Combine like terms on each side of the equal sign

c)

Move the variable

d)

Solve for the variable

20.

Check all steps that you would need to take to solve this equation:

8(2x−3)+2x=4x−48\left(2x-3\right)+2x=4x-4  

a)

Use distributive property to get rid of parentheses

b)

Combine like terms

c)

Move the variable to one side of the equation

d)

Use inverse operations to isolate and solve for the variable.