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Unit 5B: Summative Review

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17 questions
Note from the author:
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Advanced Financial Algebra Unit 5B
Question 1
1.
Mr. Dodson wants to fence around a garden that is 8 feet by 10 feet. How much fence will he need?

a. Are you solving for Area or Perimeter? _______

b. How much fencing does Mr. Dodson need? _______
Question 2
2.
Mrs. Moody was looking at new houses. The dimensions of a kitchen are below.

a. What is the perimeter of the kitchen above? __________

b. What is the area of the total kitchen above? __________
Question 3
3.
Use the follow plan below to answer the questions:

a. What is the area of the Great Room? __________

b. The residents want to put in new floors in the Great Room. The flooring is going to cost $12.25 per a square foot. How much will the total cost of new flooring be? __________
Question 4
4.
Ethan is looking to put a fence around his rectangular swimming pool area. The pool area measures 60 feet by 150 feet.

a. How many feet of fencing will Ethan need to enclose the pool? (perimeter of the pool)
_______ feet

b. The fence comes in sections of 5 feet. How many sections will Ethan have to order? _______ sections

c. The cost of each section is $14.50. How much will the fencing material cost? _______

d. The company to install the fence $20 for installment and labor costs per section. How much is the cost of labor? _______

e. How much will Ethan pay in TOTAL for the fence including labor? _______
Question 5
5.

Mary is making a flower garden in her back yard. She wants to make sure she has the correct angle to make a right triangle garden.

What is the measure of the missing angle (x)?

Question 6
6.

Jessie is building a ramp for loading motorcycle onto a trailer. The trailer is 3 feet off the ground. To avoid making it too steep to push the motorcycle up the ramp, Jessie decides to make the angle between the ramp and the ground is 18 degrees.

To the nearest foot, find the length of the ramp?

Question 7
7.

Match the picture with the correct trig function set-up:

Draggable itemarrow_right_altCorresponding Item
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Question 8
8.
Mr. Adams wants to build a ramp at a local community center to make the entrance accessible for people in wheelchairs. The ramp he builds has a distance of 52.3 feet from the wall and a height of 12.5 feet.

a. What is the angle of elevation of the ramp? __________

b. Does the ramp meet the ADA requirements? __________

c. What is the length of the ramp? __________
Question 9
9.

A firefighter's extension ladder is leaning against a building, so its top just touches the gutters at the roof edge. The ladder is 41 feet long and it is 9 feet from the wall of the building. How high is the building?

Question 10
10.
Sophia is preparing to repaint her living room. Her living room is rectangular, measuring 22 feet by 24 feet, with a ceiling height of 12 feet.

a. What is the area of one of the shorter walls? _______
b. What is the area of one of the longer walls? _______
c. What is the total area of all four walls she needs to paint? _______
d. If a gallon covers 350 square feet, how many gallons will Sophia need for two coats? _______
e. If a gallon of paint costs $35.75, what will be the cost of applying two coats of paint to all four walls? _______
Question 11
11.

Nina is setting up the corners of a 15 feet by 25 feet rectangular garden she is going to build in her backyard. To make sure she has a perfect rectangle, she checks to make sure the diagonals are the same. What should the length of the diagonal be? Round to the nearest tenth.

Question 12
12.

The tailgate of a truck is 2 feet above the ground. The incline of a ramp used for loading the truck is 11 degrees, as shown below. Find the length of the ramp to the nearest tenth.

Question 13
13.

Tyler has a rectangular garden measuring 12m by 20m that he wants to split diagonally from corner to corner using a fence. How long does his fence need to be? Round the nearest tenth

Question 14
14.

Match the definition with the vocabulary key term.

Draggable itemarrow_right_altCorresponding Item
Federal regulation states that ramps for wheelchairs should have a slope of 1/12 or less.
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Pythagorean Theorem
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House Renovations
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Question 15
15.

A flagpole casts a shadow of 35 feet when the angle of elevation to the sun is 28 degrees, as shown. What is the height of the flagpole?

Question 16
16.

Jessie is building a ramp for loading motorcycles onto her trailer. The trailer is 2.8 feet off the ground. To avoid making it too difficult to push a motorcycle up the ramp, Jessie decides to make the angle between the ramp and the ground 15 degrees. To the nearest hundredth of a foot, find the length of the ramp.

Question 17
17.

Find the angle of elevation of the the person standing in front of a building, if the building is 100 feet tall and casts a shadow 150 feet long. Round to the nearest degree.

Amount of space occupied by a two-dimensional region, such as a floor. Refers to square-footage in a property.
The sum of all the side lengths of a figure.
Americans Disability Act (ADA)
Describes the relationship between the lengths of the legs and length of the hypotenuse.
Area
Improvements or mandatory updates on the house
Perimeter