Expressions and Equations

Simplifying Expressions

100

Simplify the following expression:

-x+x-5-1+x

x-6

200

Simplify the following expression:

x-2x-3+5

-x+2

300

Simplify the following expression:

18+21r-4r+19n-3

19n+17r+15

400

Simplify the following expression:

3/8+15g-11/8g-13g+1/8

5/8g+1/2

500

Simplify an expression for the perimeter of a rectangle where the length=24.6x-10.4 and a height of 7x+3.1

63.2x-14.6

Simplifying Expressions w/ Distributive Property

100

Simplify the following expression:

-(5x-7)

-5x+7

200

Simplify the following expression:

14-6(3x-1.5)

23-18x

300

Simplify the following expression:

15.4-5.2(3f+1.2)

9.16-15.6f

400

Simplify the following expression:

5/8x-2(7-1/4x)

9/8x-14

500

Oscar is painting a wall with a length of 8.2h+2ft and a height of 11.5ft. What is the simplified expression for the Area of the wall using the correct units. (Hint: Area = length x height)

94.3h+23ft²

Solving Multi-Step Equations

100

Solve the following equation:

-3(12x+9)=99

x=-3.5

200

Solve the following equation:

-(2x+5)+14=22

x=-6.5

300

Solve the following equation:

16.75+3.2d-4+6d=51.39

d=4.2

400

Solve the following equation:

3.5-(n+21)-4n=-45

n=5.5

500

The perimeter of an equilateral triangle is 157.5 inches. Each side is 4.5x-1.5. Using the perimeter and the length of each side, solve for x.

x=12

Equations w/ Variables on Both Sides

100

Solve the following equation:

58-8x=30x-75

x=3.5

200

Solve the following equation:

-2x+9=5(2x-3)

x=2

300

Solve the following equation:

4.2(15+5x)=-20x-21-x

x=-2

400

5.5(2x+1)=-5.5x+63.25

x=3.5

500

A pool containing 50 gallons of water and is filling at a rate of 2.3 gallons per minute. A second pool contains 102.2 gallons of water and is draining at a rate of 3.5 gallons per minute. After how many minutes will the pools contain the same amount of water?

9 minutes

Types of Solutions

100

Solve the following equation:

7-0.5(10x-4)=3-5x+6

x=All Real Numbers (Infinite Solutions)

200

Solve the following equation:

4(2x-1)+9=8x+3

Since 5 DOES NOT equal 3, there is No Solution

300

Simplify the following equation:

3(2x+5)-11=6x-2

Since 4 DOES NOT equal -2, there is No Solution

400

Solve the following equation:

8x+6=4(2x+3)

0=0 so x=All Real Numbers (Infinite Solutions)

500

Solve the following equation:

3/2(6x+4)-2=1/3(27x+12)

9x+4=9x+4, x=All Real Numbers (Infinite Solutions)