Unit 5: Algebra Assessment Review

Factoring

100

18+24m

GCF: 6

6(3+4m)

200

12+36

GCF: 12

12(1+3)

300

14x+28y

GCF:14

14(x+2y)

400

16+32x+8

GCF: 8

8(2+4x+1)

500

36x+45y+72xy+27

GCF:9

9(4x+5y+8xy+3)

Equations

100

x-16=32

x=48

200

y+12=21

y=9

300

5x=50

x=10

400

x/12=6

x=72

500

3/4x=5/6

x=10/9

Expressions

100

3(2x+6)

6x+18

200

2x+4+5x+1

7x+5

300

2(4x-2)

8x-4

400

3(2x+3+3x)

15x+9

500

2(2x+3+3x)+2x+3

12x+9

Translating

100

Sally and Sam ran a total of 14 miles. Sally ran 9 miles. How many miles did Sam run?

Let s=# of miles Sam ran

9+s=14

200

Brian split a bag of candy into 6 equal groups. If each group had 12 pieces, how many pieces were there total?

Let c= pieces of candy

c/6=12

300

A number increased by eleven is thirty-three

Let n= a number

n+11=33

400

Six is fourteen less than double a number

Let n= a number

6=2n-6

500

Chris and Molly counted their money. Molly had $108 which was $27 fewer than what Chris had. How much did Chris have?

Let c= $ Chris had

108=c-27

Miscellaneous

100

3²+5⋅ 2-8

11

200

Are the following two expressions equivalent? If so name the property.

3(24) and 3(20)+3(4)

Yes

Distributive Property

300

Use the distributive property and mental math to simplify the expression.

6(24)

6(24)

6(20+4)

6(20)+6(4)

120+24

144

400

Which of the following is not equivalent to the others.

a. 6x+20

b.2(3x+10)

c.3x+12+8+3x

d.2(3x+5)

D. 6x+10 is not equivalent

500

Are the following two expressions equivalent. If so, name the property.

(11-5)-6 and 11-(5-6)

No

The associative property does not apply to subtraction.