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

What is the difference between expression and equation? 

Equations have equal signs and you can solve for variables. Expressions do not have equal signs and you can only simplify. 

Distributive Property

100

How many terms are in the expression after you simplify 3(x -4)?

2

3x -12

200

Which operation do you perform when using distributive property? 

Multiplication 

300

Distribute and simplify: 

-x(3 + 4) 

-7x 

400

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

1 

500

Distribute and combine like terms: 

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

-17x +15

Literal Equations

100

Solve for x 

7= x - r

x= 7+r

200

Solve for x 

7y= 2x - t

x= (7y +t) / 2

300

Solve for y 

7= -xy + 9

y= -2/-x

OR 

y= 2/x

400

Solve for m 

t= mx - r

m= (t+r) / x

500

Solve for x 

5= (1/4)x +2y

x= 20-8y

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

Solve. 

3(2x + 4) - 9 = 27

x = 4

400

Solve 

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

x= 3.6

500

Solve:

3/4x + 1/4x - 4 = 5(x - 8) +35 - x 

x = 1/3