Bassham 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

Using your own words, describe what "inverse operations" means

It means "doing the opposite" of the operation, i.e. inverse of division is multiplication... and so on

Distributive Property

100

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

-3

200

Which operation do you perform when using distributive property? 

Multiplication 

300

Distribute: 

4(3x - 2) 

12x - 8

400

Solve:

5(x - 2) = 10

4

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

Simplify:

2x + 4 + 5x - 2

7x + 2

300

Simplify:

4x - 3 - 7x + 6

-3x + 3

400

Simplify:

3x - y + 12 - 10y + 4x 

7x - 11y + 12

500

Combine: 

3x - 4y + x - 4x + 7y 

3y 

Two-Step Equations

100

Solve:

3x - 4 = 8

x = 4

200

Solve:

x/5 + 2 = 5

x = 20

300

Solve:

-4y + 10 = 26 

y = -4 

400

Solve:

3x - 5 = -7

-6

500

Solve:

9x - 4 = -15

x = -99 

Multistep Equations

100

What are the four steps you need to follow to solve multistep equations?

1. Distribute

2. Combine like terms

3. Get rid of the addition/subtraction

4. Get rid of the multiplication/division

200

What would you do first to solve this?

3(3x + 4) - 9 = 27

Distribute the 3

300

Solve: 

3x + 9x - 4x + 9 = 33

x = 3

400

2x + 4(x - 2) = 40

x = 8

500

-5x + 2(x + 5) = -23

x = 11