Equations and Expressions Review

Simplify Expressions

100

4y+17-7y-5

-3y+12

200

-5x+18y-4+7x-11y+22

2x+7y+18

300

18x²+4x+3y-9x²-19y

9x²+4x-16y

400

2(3x+2y-3)+7x-12y+14

13x-8y+8

500

3(3x-5y+7z)+2(4x+12y-13)

17x+9y+21z-26

Distributive Property

100

Simplify: 3(4x+8y-9z)

12x+24y-27z

200

Solve: 2(6x-3)=30

x=3

300

Solve: 3(5x+6)=72

x=4

400

Simplify: 7(3x-8y-4z)-3(6x-13y+2z)

3x-17y-34z

500

Solve and CHECK: 4(5x+18)=252

x=9

One and Two-Step Equations

100

6x=96

x=16

200

3x-4=38

x=14

300

14x=280

x=20

400

-6y-15=-33

y=3

500

x/-7 + 15 = -48

x=441

Word Problems

100

Write the equation and solve: A number multiplied by 3 is equal to 27

3x=27, x=9

200

Write the equation and solve: A number doubled is 8 more than 42.

2x+8=42, x=17

300

Write the equation and solve: Rico is seven inches shorter than his brother. If his brother is 61 inches, how tall is Rico?

x-7=61, x=54 inches

400

Write the equation and solve: Jake and his two brothers want to go to a football game. They determined it will cost them each $74.60 for the tickets. How much is the cost of the football tickets total?

x/3=74.60, x=223.80

500

Write the equation and solve: Claire is twice as tall as Zoe. Both sisters are a combined 108 inches tall. How tall is Zoe? How tall is Claire?

3x=108, x=36 (Zoe's height), Claire: 72 inches.

Random

100

Simplify: 6(4x-12)

24x-72

200

Solve: 8x-9=-65

x=-7

300

Solve: 2.5(10x-16)=260

x=12

400

Simplify: 4(8x-5y+3z)-2(9x+6y-4z)

14x-32y+20z

500

Solve: 1/3x - 3/4 = 5/6

x=4 3/4 or 19/4