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Steps for Multi-Step Equations Variables on the Same Side

Total questions: 8

Worksheet time: 9mins

Name
Class
Date
1.

What is the first step to solving

 3x10=113x-10=11  ?

a)

Add 10 to both sides of the equation

b)

Subtract 10 from both sides of the equation

c)

Subtract 3 from both sides of the equation

d)

Divide by 3 on both sides of the equation

2.

There is an error in one of the steps of work below. 
Original equation:  x+42=12\frac{x+4}{2}=12  

Step One:
 2×x+42=12×22\times\frac{x+4}{2}=12\times2  
Step Two:
 2x+8=242x+8=24  
Step Three:
 2x=162x=16  
Step Four:
 x=8x=8  
Where does the error occur?

a)

Step One

b)

Step Two

c)

Step Three

d)

Step Four

3.

What is the SECOND step to solving this equation: 5x+8=33-5x+8=33  


a)

Add 5 to both sides

b)

Subtract 8 from both sides

c)

Divide by -5 on both sides

d)

Multiply by 5 on both sides

4.

When an equation goes from: 5(x+4)=405\left(x+4\right)=40  




To this:  5x+20=405x+20=40  



Did the equation get solved? or simplified?

a)

Solved

b)

Simplified

5.

When an equation goes from:  9+x=119+x=-11  


To this:  x=20x=-20  


Did the equation get solved or simplified?

a)

Solved

b)

Simplified

6.

Which operations would be used to SOLVE this equation:


 x47=2\frac{x-4}{7}=2  


Check all that apply

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

7.

If the original Equation is:  2(53v)+9v=282\left(5-3v\right)+9v=28  

What would be the correct result after SIMPLIFYING completely?

a)

 106v+9v=2810-6v+9v=28  

b)

 10+6v=2810+6v=28  

c)

 v=6v=6  

d)

 3v+10=283v+10=28  

8.

Which operation(s) would be used to solve this equation:

 2x+64=3\frac{-2x+6}{4}=3  

Check all that apply

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division