Expressions and Equations Review

Combining Like Terms

100

18m - 9v + 6v - 7m 

11m -3v

200

-4x +3y -2x - 9y 

-6x - 6y

300

1.8y - 9.3y - 6.3y

-13.8y

400

3(4x -7) - 4x

8x - 21

500

3.5(6x - 3) +5.2

21x - 5.3

One-Step Equations

100

50 = -2.5x

x = -20

200

-4y=48

y= -12

300

x - 4 = -28

x= -24

400

-7v = -56

v= 8

500

3.2p =36

p = 11.25

Two-Step Equations

100

3 + 4x =15

x= 3

200

0.75x + 6 = 33

x =36

300

-3x -10 = 32

x = -14

400

2(2.5x + 8) =26

x = 2

500

2.4x + 9 =63

x= 22.5

Writing Equations

100

Jax joins a local recreation center to play basketball. The recreation center charges a $20 annual fee, plus an additional $15 per month. Jax prepays by writing a check for $185. Write the correct equation to find how many months he paid for. 

20 + 15x =185

200

Lowes advertises 60 square feet of flooring for $287.00 including an $80.00 installation fee. Write an equation to figure out how much each square foot cost. 

60x + 80 = 287.00

300

Four friends bought matching necklaces and 2 pair of earrings. The necklaced is priced at $15 each. If the total bill for all four friends was $128.00. What is the price for one earring? Write the equation and solve. 

60 + 8x = 128

x= $8.50

400

Marks brother is five years older than Mark. Their combined ages add up to 23. How old is mark? Write the equation and solve for Mark's age. 

x + (x + 5) = 23

2x +5 =23

2x =18

x = 9 

500

A fifteen passenger van is rented for a family vacation. The van rental is $75.00 per day plus $160.00 insurance fee. Write the correct equation to find x if they wanted to spend exactly $760.00. 

75.00x + 160.00 = 760.00