Pre-algebra Chapter 9 Test Munden

24 Questions | By Munden | Updated: Mar 22, 2022 | Attempts: 107

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Pre-algebra Chapter 9 Test Munden - Quiz

Right Triangles, square roots, and real numbers

Questions and Answers

1.

Find all the solutions to the equation
- A.
  
  X = 8, x = -8
- B.
  
  X = 7.35, x = -7.35
- C.
  
  X = 11.22, x = -11.22
- D.
  
  Not given
2.

True or False? 3.14 is a rational number.
- A.
  
  True
- B.
  
  False
3.

True or False? is an integer.
- A.
  
  True
- B.
  
  False
4.

True or False? All rational numbers are also irrational numbers.
- A.
  
  True
- B.
  
  False
5.

True or False? All rational numbers are integers.
- A.
  
  True
- B.
  
  False
6.

True or False? All integers are also rational numbers.
- A.
  
  True
- B.
  
  False
7.

True or False? All rational numbers, irrational numbers, and integers, are real numbers.
- A.
  
  True
- B.
  
  False
8.

The A-frame below measures 16 feet high. The house measures 36 feet from one side to the other. What is the diagonal length of the roof?
- A.
  
  About 24 feet
- B.
  
  About 39.4 feet
- C.
  
  About 34 feet
- D.
  
  Not given
9.

The toy crane shown in the photo has a boom length (the length of the crane's arm) of 26 inches. If the tip of the boom is 20 inches above the ground, then how far out will the crane reach?
- A.
  
  About 16.6 inches
- B.
  
  About 276 inches
- C.
  
  About 32.8 inches
- D.
  
  Not given
10.

What is the hypotenuse in the right triangle below?
- A.
  
  50 feet
- B.
  
  70 feet
- C.
  
  2500 inches
- D.
  
  Not given
11.

You are part of a design team creating a new park for the city. In your design, you use a coordinate plane to represent the park. On your map, the locations of the bathroom is at (3,1). The location of a pavilion on the other side of the park is (8,6). Each unit on your map is 100 feet. How far apart are the bathrooms? Use the distance formula given.
- A.
  
  About 7.1 feet
- B.
  
  About 707 feet
- C.
  
  About 283 feet
- D.
  
  Not given
12.

You are part of a design team creating a new park for the city. In your design you use a coordinate plane to represent the park. On your map the locations of the bathroom is at (31). The location of a pavilion on the other side of the park is (86). What is the halfway (midpoint) between these two locations? Use the midpoint formula given.
- A.
- B.
- C.
- D.
  
  Not given
13.

Using the 45-45-90 triangle shown, what is the length of the hypotenuse?
- A.
  
  5 cm
- B.
  
  10 cm
- C.
  
  8.66 cm
- D.
  
  7.07 cm
14.

Using the 30-60-90 triangle shown, what is the length of the hypotenuse?
- A.
  
  8 inches
- B.
  
  11.31 inches
- C.
  
  13.9 inches
- D.
  
  6.9 inches
15.

Using the 30-60-90 triangle shown what is the length of the bottom missing leg?
- A.
  
  4 inches
- B.
  
  8 inches
- C.
  
  5.7 inches
- D.
  
  6.9 inches
16.

Using the triangle shown below, which of the following ratio's is true? Use SOH - CAH - TOA
- A.
- B.
- C.
- D.
17.

Using the triangle shown below which of the following ratio's is true? Use SOH - CAH - TOA
- A.
- B.
- C.
- D.
18.

Using the triangle shown below which of the following ratio's is true? Use SOH - CAH - TOA
- A.
- B.
- C.
- D.
19.

You want to measure the height of the cell phone tower shown. You measure the base angle to be 72 degrees while standing 120 feet from the bottom of the tower. How tall is the tower?
- A.
  
  About 369 feet
- B.
  
  About 3.08 feet
- C.
  
  About 37 feet
- D.
  
  Not given
20.

What is the area of the triangle shown below?
- A.
  
  About 39 square inches
- B.
  
  About 78 square inches
- C.
  
  About 34.5 square inches
- D.
  
  Not given
21.

What is the perimeter of the triangle shown below?
- A.
  
  About 39 inches
- B.
  
  About 78 inches
- C.
  
  About 30 inches
- D.
  
  Not given
22.

Find all the solutions to the equation
- A.
  
  Y = 10
- B.
  
  Y = 10, y = -10
- C.
  
  Y = 17.23, y = -17.23
- D.
  
  Not given
23.

Find all the solutions to the equation
- A.
  
  A=4.58, a = -4.58
- B.
  
  A=5.39, a = -5.39
- C.
  
  No Solution
- D.
  
  Not given
24.

Find all solutions to the equation
- A.
  
  N=3, n= -3
- B.
  
  N = 5.1, n = - 5.1
- C.
  
  N = 8.8, n = -8.8
- D.
  
  Not given