Equations w/ Variables on Both Sides Test Review

Vocabulary

100

What is the variable in 3f + (-4)

f

200

What is the coefficient in 3x?

3

300

Define constant or give an example of a constant

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

examples: 2, or 5.2948, or  1/5

400

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

-3, -10, and -4 

500

How many terms are in (x + 10) -3x + 12 ?

3 terms

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 

Fractions and Decimals

100

Solve:

2.5x - 4 = 8

x = 4.8

200

What operation would you use to UNDO or GET RID OF a fraction?

multiplication by LCM

300

When you have decimals in the problem, like below, how does this affect how you solve the problem?

2.2x+5 = -7+13.25x

not at all

there is no change in how you solve this

400

Which operation would you do first, when trying to solve this for x?

5x + 7 =  2/3x + 15

multiplication by LCM/LCD

500

What is the LCM of LCD you need to solve this problem?

1/2x + 3 = 3/4 - 2x

LCM = 4

OR

LCD=4

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