Multistep Equations Test 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. Variable, constant, coefficient.

Distributive Property

100

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

3

200

Which operation do you perform when using the Distributive Property? 

Multiplication 

300

Distribute: 

-x(3 + 4) 

-3x -4x

Simplified: -7x

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

Simplified: -17x + 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 (unique groups of terms that can be combined) are in the following expression?

3x - y +12 - 10y + 4x 

three (x, y, and constants) 

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)

Equivalent equation: x + 7 = 50

500

Solve:

2/3x + 4 = 10

x = 9 

Multistep Equations

100

What would you do first to solve this?

3(3x + 4) - 9 = 30

Distribute the 3 to the 3x and the +4 to get 9x + 12.

200

Solve: 

3x + 9x - 4x + 9 = 33 

x= 3

300

Name two (of several) specific steps that you need to do when solving multistep equations.

1. Distribute what's outside parentheses to what's inside.

2. Combine like terms.

3. Use inverse operations to 'cancel out' constants and coefficients.

4. Rewrite the equivalent equation whenever you make a change.

400

What is the goal of solving a multistep (or any) equation? 

To isolate the variable/find a solution that makes the equation true.

500

Solve:

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

x = 4