Equations w/ Variables on Both Sides Test Review

Solving

100

How do you move a constant from one side of an equation to the other?

Inverse Operation

200

What is the next step in solving this equation? 12x+5=10

Subtract 5 from both sides

300

Solve the following equation. 25x+50=175

x=5

400

Solve the following equation. -2(4-3x)+3x=27+2x

x=5

500

Solve 3/4x+2=3/8x-4

x=-16

Distributive Property

100

When solving an equation what is the first step before combining like terms?

Distributing

200

Which operation do you perform when using distributive property? 

Multiplication 

300

Distribute: 

-x(3 + 4) 

-3x -4x 

400

What is the coefficient of x in this expression: 3(x -4) 

1 

500

Distribute: 

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

-8x -6x -3x +15

Combining Like Terms

100

Which terms in this expression could be combined?

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

When solving and equation, this step falls after "distribution" and before "move variables to one side"

Combine Like Terms

500

Combine: 

3x - 4y + x -4x + 7y 

3y 

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 are the five steps of DCMAM used to solve multistep equations?

1. Distribute

2. Combine like terms

3. Move the variables to one side

4. Add/Subtract

5. Multiply/Divide

400

What is the goal of solving a multistep equation? 

To isolate the variable, or get it by itself to find the solution.

500

Solve:

4(x-9)-2x = -3x+14

x = 10