Chapter 2 Review

Distributive Property

100

5(-6+5g)

-30+25g

200

4(3a+8b-11c)

12a+32b-44c

300

2(5a-4)+6a

16a-8

-8+16a

400

-3(7+2x)

-21-6x

500

1/4(8-6z)

2-3/2z

2-{3z}/2

Factoring

100

What are the factors of 30?

1xx30

2xx15

3xx10

5xx6

200

What is the greatest common factor of 12 and 36?

Greatest common factor: 12

Factors of 12: 1, 2, 3, 4, 6, 12

Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

300

Factor

3x+18

3(x+6)

400

27j-54

27(j-2)

500

-2k-10

-2(k+5)

Solving Equations

100

f+38=57

f+38-38=57-38

f=19

200

b/13=4

b/13xx13=4xx13

b=52

300

7u-52=-3

7u-52+52=-3+52

7u=49

{7u}/7=49/7

u=7

400

8(2w+7)=72

w=1

500

5(2q+8)-3q=40

5(2q+8)-3q=40

10q+40-3q=40

7q+40=40

7q=0

q=0

Miscellaneous

100

A term that represents an unknown number, value, or quantity.

Variable

200

Combine like terms

2f+5g+7h-6g+8h+3f

5f-g+15h

300

After solving an equation, how can we check if our answer is correct?

Using substitution/plugging in our answer/replacing our answer in original problem

400

True or false: 

3r+4=22

r=5

False

3r+4=22, r=5

3(5)+4=22

15+4=22

19\ne22

500

Create an equation to represent the following situation:

Janice gets a new car. She pays a $700 down-payment plus a monthly payment. After 6 months she has spent a total of $1650.

700+6m=1650