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Multi-Step Equations Classwork

Total questions: 10

Worksheet time: 29mins

Name
Class
Date
1.


What would be the next step in solving the following equation for x?  

2x\ +\ 3\ =\ 7 2x + 3 = 7 2x\ +\ 3\ =\ 7\   

a)

Divide both sides of the equation by 2

b)

Add 3 to both sides of the equation

c)

Multiply both sides of the equation by 2.

d)

Subtract 3 from both sides of the equation

2.

Solve the equation below and justify the steps to your solution. 
2\left(6k+8\right)-6k=4
 
           

a)

 n = 4n\ =\ 4  

b)

 k = 115k\ =\ \frac{11}{5}  

c)

 8n  24 + 2n = 168n\ -\ 24\ +\ 2n\ =\ 16  

d)

 8n6 +2n = 168n-6\ +2n\ =\ 16  

e)

 combine like terms combine\ like\ terms\   

3.

What is the first step to solve this equation?
k + 6 = -4k - 9 

a)

Add k to both sides of the equation

b)

Add 4k to both sides of the equation

c)

Subtract 9 from both sides of the equation

d)

Subtract 4k from both sides of the equation

4.

The goal of solving a one, two, or multi-step equations is to:

a)

Find the constant

b)

Find the coefficient

c)

Find the value of the variable

d)

Guess and check

5.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
6.

What is the inverse of multiplication?

(a)  

7.

What is the inverse of subtraction?

(a)  

8.

How would you "undo" the coefficient of the equation here:

 x5=9\frac{x}{5}=9  

(a)  

9.

What is a multi-step equations

a)

An equation with multiple answers.

b)

An equation with multiple steps to find the answer.

c)

An equation with the multiplication operation.

d)

An equation with at least one variable.

10.
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