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Geometry
Rational Numbers
Story Problems
100
14 = m + 16
m = -2
100
2x + 4 = 8
x = 2
100
The perimeter of a square is 100. The perimeter can be found using 4(x + 10). Find the value of x.
x = 15
100
x + 1.7 = 9.3
x = 7.6
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
x - 7 = -5
x = 2
200
3x - 7 = -4
x = 1
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
200
x - 1/4 = 1/2
x = 3/4
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
6b = -24
b = -4
300
p/4 + 8 = 7
p = -4
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
300
x/7 + 5 = -3.75
x = - 61.25
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
p + 12 = 57
p = 45
400
3(x - 5) = 27
x = 14
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
400
2/5 x + 8 = 4
x = - 10
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
x/-5 = 10
x = -50
500
11 - x = 23
x = -12
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
500
F - 32 = 1.8C If C = 25 what is F?
F = 77
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.
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