Multistep Equations Practice

Multistep Equations

100

−8(−8x − 6) = −6x − 22

x=-1

200

−5(4x − 2) = −2(3 + 6x)

x=2

300

5(2x + 6) = −4(−5 − 2x) + 3x

x=10

400

−6(1 − 5v) = 54

v=2

500

−11 − 5a = 6(5a + 4)

a=-1

Distributive Property

100

What is the term being distributed in 3(x -4)?

3

200

Which operation do you perform when using distributive property? 

Multiplication 

300

Distribute: 

-x(3 + 4) 

-3x -4x 

400

distribute

 3(x -4) 

3x-12

500

Distribute: 

-2x(4 + 3) -3(x - 5)

-8x -6x -3x +15

Combining Like Terms

100

Which terms in this expression could be combined with 3x?

2x + 9y -10 + x - 8c

2x and x 

200

What does the word combine mean?

to add together 

300

Combine -y and - 10y

-11y

400

Combine Like Terms

3x+4-2x-x+1

5

500

Combine: 

3x - 4y + x -4x + 7y 

3y 

Two-Step Equations

100

Solve:

3x - 4 = 8

x = 4

200

What operation would you use to UNDO x/7

multiplication 

300

Solve:

-4y + 10 = 26 

y = -4 

400

Which operation would you do first, when trying to solve this for x?

4+3x=10

subtract 4 from both sides

500

Solve:

2/3x + 4 = 10

x = 9 

Multistep Equations

100

What would you do first to solve this?

3(3x + 4) - 9 = 27

Distribute 

200

Solve: 

3x + 9x - 4x + 9 = 33 

x= 3

300

What does DCMAM stand for?

1. Distribute

2. Combine like terms

3. Move variable to one side

4. Add or subtract to isolate variable term

5. Multiply or divide to isolate variable

400

What is the goal of solving a multistep equation? 

To isolate the variable 

500

Solve:

3/4x + 3/2x - 4 = 5

x = 4