Equations

1 step

100

14 = m + 16

m = -2

200

x - 7 = -5

x = 2

300

6b = -24

b = -4

400

p + 12 = 57

p = 45

500

x/-5 = 10

x = -50

2 step

100

2x + 4 = 8

x = 2

200

3x - 7 = -4

x = 1

300

p/4 + 8 = 7

p = -4

400

3(x - 5) = 27

x = 14

500

11 - x = 23

x = -12

Geometry

100

The perimeter of a square is 100. The perimeter can be found using 4(x + 10). Find the value of x.

x = 15

200

The sum of the measures of the angles of a trapezoid is 360 degrees. Angle 1 = 50, Angle 2 = 75, Angle 3 = 125. What is the measurement of Angle 4? Write and solve an equations.

x + 50 + 75 + 125 = 360 x + 250 = 360 x = 110 degrees

300

The angles in a triangle measure to 180 degrees. If angle 1 is equal to 90 degrees, and angle 2 is equal to 30 degrees, what is the measurement of angle 3? Write and solve an equation.

90 + 30 + x = 180 120 + x = 180 x = 60

400

The perimeter of a square is 2(x + 3.5) meters. What is the value of x if the perimeter is equal to 36?

2(x + 3.5) = 36 x + 3.5 = 18 x = 14.5

500

A perimeter of a rectangle is 170 inches. The length is 50 inches. What is the width of the rectangle. Write and solve an equation.

2w + 2L = 170 2w + 2(50) = 170 2w + 100 = 170 w = 35

Rational Numbers

100

x + 1.7 = 9.3

x = 7.6

200

x - 1/4 = 1/2

x = 3/4

300

x/7 + 5 = -3.75

x = - 61.25

400

2/5 x + 8 = 4

x = - 10

500

F - 32 = 1.8C If C = 25 what is F?

F = 77

Story Problems

100

An architect needs to make a scale drawing of a home. The width of the home in the drawing in inches is given by the equation 1/3w = 6. What is the width of the home in the scale drawing?

1/3w = 6 w = 18

200

At a local shelter, 27 people volunteered to help prepare meals for disaster victims. If this represented 9/16 of the volunteers at the shelter, write and solve an equation to determine how many volunteers helped at the local shelter.

9/16v = 27 v = 48

300

The beginner's field hockey kit costs $200. It is $20 more than 2 times the cost of the basic kit. Write and solve an equation to find the cost of the basic kit.

2b + 20 = 200 b = 90

400

Susie bought a costume box containing 30 costumes for $200. She sold all the costumes and made a $400 profit. Use the equation 30c - 200 = 400 where c is the selling price of each costume. What was the selling price of one costume?

c = $20

500

Lane, Gary, and Kendra have pizza they are going to be sharing with other people. Gary gave 1/2 of his cheese pizza to Kendra and she gave him 3/5 of her pepperoni. Gary then gave Lane 2/5 of his cheese pizza. How much cheese and pepperoni pizza does Gary now have? Get all #'s into common denominators.

1/2 = 5/10 3/5 = 6/10 2/5 = 4/10 Gary gave 5/10 away so he has 5/10 left. He then was given 6/10 so he now has 11/10. Gary then gives 4/10 away so he is left 7/10 pizza.