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Surface Area/Volume
Equations and Combining Like Terms
Circles
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100
What is the volume of a rectangular prism with a width of 4 feet, a length of 3 feet, and a height of 10 feet?
4 x 3 x 10 = 120 feet
100
Solve for x. 6 + 2x = 24
6+2x = 24 --> 2x = 18 --> x = 9
100
What is the diameter of a circle with a radius of 5 feet?
Radius = 5 feet, diameter = 10 feet
100
What is 15% of 120?
2 ways.... 120 x .15 = 18 OR 10% = 12.....5% = 6......15% =18
200
If a rectangular prism has a volume of 200 cubic feet, what is the height if the length of the base is 4 feet and the width of the base is 10 feet.
Volume = 200 ----> 4 x 10 x _____ = 200 ---> The height has to be 5 feet.
200
Solve for x. 2x + 3x + 5x + 4 = 29
10x + 4 = 29 --> 10x = 25 --> x = 2.5
200
What is the area of a circle with a radius of 6 feet?
Area = 3.14 x 6 x 6 ---> 113.04 square feet
200
15 is 20% of what number?
Make a proportion Answer = 75
300
What is the surface area of a rectangular box that has a length of 5 feet, a width of 3 feet, and a height of 6 feet?
Bottom and Top = 15 + 15 Sides = 18 + 18 Front and Back = 30 + 30 SA = 126 feet
300
3(3x + 2) = 2(2x + 18)
3(3x + 2) = 2(2x +18) --> 9x + 6 = 4x + 36--> 5x + 6 = 36--> 5x = 30--> x = 6
300
What is the radius of a circle with a circumference of 12.56 inches?
Circumference = 12.56 -> Diameter = 4 Radius = 2 inches
300
A jacket costs $40.... There is a 10% discount on the hat. You have to pay 5% tax of the sale price, what is the final price you pay?
40 x .1 = $4 -----> 40 -4 = $36 = sale price ---> 36 x .05 = $1.80 ---> $36 + $1.80 = $37.80
400
Your family needs you to paint the garage, which is a rectangular prism. You cannot paint the roof or the bottom... The garage has a height of 8 feet, a length of 7 feet and a width of 7 feet. You paint 25 feet per hour, how long would it take you to paint the garage to the nearest hour?
4 sides, all 7 x 8 = 56--> 56 + 56 + 56 + 56 = 224 feet needing to be painted.--> 224/25 = 8.96---> 9 hours
400
4x - (2x -3) = 17
4x - (2x -3) = 17--> 4x - 2x + 3 = 17--> 2x + 3 =17--> 2x =14--> x = 7
400
What is the area of a circle with a circumference of 31.4 feet?
Diameter = 10, Radius = 5, so AREA = 78.5 square feet.
400
How much cheaper is it to buy a gift that costs $30 and is 25% off than to buy the same gift if it is just $5 off?
30 x .25 = 7.5 -----> 30 - 7.5 = $22.50 vs $30-$5 = 25 -----> You save $2.50