Expressions and Equations Unit Test Review

Evaluate

100

12 + x = 22

10

200

3 + 4x = 11

2

300

28 + -3x = 10

6

400

2a2 + 3b + 5c when a = -2, b=3, and c = 2/5

19

500

(5a + c²)/2b

a=13 b=3 c=5

15

Factor using GCF

100

16x - 36y + 8

4(4x-9y+2)

200

5 + 25

5(1 + 5)

300

18x + 6y - 24

6(3x + y - 4)

400

1/2(x) + 3/2

1/2(x+3)

500

-45z - 25

-5(9z+5)

Simplify

100

6x - 9 + 5x - 3 -x

10x-12

200

3c + 9y - 5c

-2c + 9y

300

-4m + 5m - 7 x

m - 7x

400

1/2 (6x + 12) - (x + 3)

2x + 3

500

6ab + 4bc - 3ab + bc

3ab + 5bc

Solve for Variable

100

3a - 5 = -14

a = -3

200

10 = - 2c + 22

c = 6

300

-12 = -8z + 12

z = 3

400

-5h + 2/3 = 2

(hint: clear the fraction)

h = -4/15

500

1.3n - 0.03 = -9

n = -6.9 

Word Problems

100

Ms. Evanowski's Bike Shop rents bikes for $10 plus $4 per hour. Cruz paid $30 to rent a bike. For how many hours did Cruz rent the bike?

5 hours

x = 5

4x + 10 = 30

200

A taxi service charges an initial fee of $8.40 plus $1.80 per mile. How many miles can you travel for $12?

2

300

It costs $2.50 to rent bowling shoes. Each game costs $2.25. You have $9.25. How many games can you bowl? Write and equation to represent the situation.

$2.25x + $2.50 = $9.25

400

The length of a rectangle is 3 meters less than twice its width. Let w represent the width. Write an expression to represent the length.

2w - 3

500

Hunter is 8 years younger than his brother. The sum of their ages is 44 years. How old is Hunter and how old is his brother?

Hunter = 18

Hunter's Brother = 26

x=brother

x-8=Hunter

x + x - 8 = 44

2x - 8 = 44

2x = 52

x = 52/2

x = 26