Multistep Equations Review

Vocabulary

100

Give an example of a variable

Any letter is correct

200

What is the coefficient in 3x?

3

300

Define constant 

A number all by itself in an expression (not being multiplied by anything or affected by a variable)

400

List all the coefficients in this expression: -3x + 4 - 10x + 7 -4x 

-3, -10, and -4 

500

Tell me the three kinds of terms.

A variable by itself, a number by itself, a number being multiplied by a variable 

Distributive Property

100

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

3

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 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

How many term families are in the following expression?

3x - y +12 - 10y + 4x 

three (x's, y's, and plain numbers) 

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?

(x + 7) / 5 = 10 

multiplication (to cancel out the 5) 

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 are the three steps you need to follow to solve multistep equations?

1. Distribute

2. Combine like terms

3. Solve the remaining two-step equation

400

What is the goal of solving a multistep equation? 

To isolate the variable 

500

Solve:

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

x = 4