Multi Step Equations

Two Step, Combining Like Terms and Distributing

by Emily Kelly

Multiple Choice

3c + 5 = 23

• c = 3

• c = 6

• c = 7

• c = 18

Multiple Choice

Solve 2x - 3 = 1

• 3

• 2

• 1

• -2

Multiple Choice

Solve 3x - 7 = 32

• 13

• 3

• 12

• 7

Multiple Choice

x - 62 = 123

How should you show your work to isolate the variable and solve the equation?

• Add 62 to each side.

• Subtract 62 from each side.

• Multiply each side by 62.

• Add 123 to each side.

Multiple Choice

33 = 4a - 7

• a=-10

• a=10

• a=4.5

Multiple Choice

7p+ 9 = 40.5

• 7.5

• 3.5

• 8.5

• 4.5

Multiple Choice

12y -8 = 30.4

• y= 38.4

• y= 3.2

• y=1.8

• y=50.4

Multiple Choice

15 = 2a + 7

• 2
• 4
• 12
• 14

Multiple Choice

What does it mean to distribute?

• To multiply the numbers inside the parentheses by the number on the outside.
• To add all of the numbers together.
• To do the order of operations.

Multiple Choice

15(15c - 10)

• 235c
• 225c - 150
• 30c - 150
• 225c + 25

Multiple Choice

4 ( x + 3) = ?

• 4x + 3
• 4x + 12
• 7x
• 16x

Multiple Choice

8 ( x + 2) = ?

• 8x + 2
• 8x + 16
• 24x
• 6

Multiple Choice

Simplify the following expression:
-6x + 4(-x - 3)

• -2x - 12
• 10x + 12
• -10x - 12
• -2x + 12

Multiple Choice

7(11k + 12) + 9k

• 77k + 84
• 17k + 84 + 9k
• 86k + 84
• 63k + 84

Multiple Choice

Which of the following is equivalent to    8h +7(2 + 4h)?

• 90h
• 12h + 14
• 50h
• 36h +14

Multiple Choice

Which of the following is equivalent to     -8 - 9(5 + 2x)?

• -5 - 2x
• -18x - 53
• -53 + 18x
• 18x - 53

Multiple Choice

X+X+X+X+X

• X + 5 
• 5X
• X+X+X+X+X+5
• X to the 5th power 

Multiple Choice

2r + 2 + 5r - 2 + r 

• 8r 
• 8r - 4 
• 12r 
• 7r + 4 + r 

Multiple Choice

3 + 12c - 4c 

• 16c + 3 
• 8c + 3 
• 5c 
• 8c 

Multiple Choice

6x + 1 + 7x 

• 13x - 1
• 14x 
• 7x + 6x + 1 
• 13x + 1 

Multiple Choice

4x + 3 + 7x 

• 14x 
• 11x + 3 
• 28x + 3 
• 11x - 3