AnswersPre-Algebra - MA3119 B-CRUnit Test

Unit Test — Unit test Answers

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Holly and Tamar completed the work in the table to determine if a triangle with side lengths of 40, 42, and 58 is a right triangle. Holly’s WorkTamar’s WorkThe triangle is not a right triangle. The triangle is a right triangle. Which best describes the accuracy of their solutions?

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A
Holly is correct.
B
Tamar is correct.
C
Neither Holly nor Tamar is correct.
D
Both Holly and Tamar are correct.
2
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What is the length of the unknown leg in the right triangle?

Question illustration
A
8 cm
B
16 cm
C
20 cm
D
40 cm
3

Which statement describes whether a right triangle can be formed using one side length from each of these squares?

Question illustration
A
Yes, a right triangle can be formed because the sum of the areas of the two smaller squares does not equal the area of the largest square.
B
Yes, a right triangle can be formed because the sum of the areas of the two smaller squares equals the area of the largest square.
C
No, a right triangle cannot be formed because the sum of the areas of the two smaller squares does not equal the area of the largest square.
D
No, a right triangle cannot be formed because the sum of the areas of the two smaller squares equals the area of the largest square.
4

Which equation can be used to determine the distance between the origin and (–2, –4)?

A
d = StartRoot ((0 minus 2) + (0 minus 4)) squared EndRoot
Option A
B
d = StartRoot (0 minus (negative 2)) squared + (0 minus (negative 4)) squared EndRoot
Option B
C
d = StartRoot ((0 minus 2) minus (0 minus 4)) squared EndRoot
Option C
D
d = StartRoot (0 minus (negative 2)) squared minus (0 minus (negative 4)) squared EndRoot
Option D
5

The hypotenuse of a right triangle has endpoints A(4, 1) and B(–1, –2). At which points could the vertex of the right angle in the triangle be located? Check all that apply.

Question illustration
A
(–1, 1)
B
(4, –2)
C
(1, 1)
D
(2, –2)
E
(4, –1)
F
(–1, 4)
6

Which statements are true about the unknown side length in this right triangle? Check all that apply.

Question illustration
A
The equation can be used to find the unknown length.
Option A
B
The equation can be used to find the unknown length.
Option B
C
The equation can be used to find the unknown length.
Option C
D
The length of the unknown leg is meters.
Option D
E
The length of the unknown leg is 7 meters.
7

Which inequalities are true? Select the four correct answers.

A
0 less-than StartRoot 8 EndRoot
Option A
B
StartRoot 8 EndRoot less-than 3
Option B
C
StartRoot 8 EndRoot greater-than StartRoot 7 EndRoot
Option C
D
StartRoot 8 EndRoot less-than 2
Option D
E
StartRoot 8 EndRoot greater-than 8
Option E
F
1 less-than StartRoot 8 EndRoot
Option F
8

Avi’s dining room measures 124 square feet and is in the shape of a square. Which is the best estimate of the length of one side of the room, to the nearest tenth of a foot?

A
10.7 feet
B
10.9 feet
C
11.1 feet
D
11.4 feet
9

Which is a perfect square?

A
121
B
140
C
168
D
195
10

What value of y will make the equation true? [BLANK]

Question illustration
Answer not available
11

Which expression will equal a rational product even though it is multiplying an irrational number times another irrational number?

A
StartRoot 11 EndRoot times StartRoot 11 EndRoot
Option A
B
4.7813265 ellipsis times StartRoot 5 EndRoot
Option B
C
Pi times 3.785492 ellipsis
Option C
D
StartRoot 21 EndRoot times pi
Option D
12

Jillian said is irrational because it is a square root. Why is she incorrect?

Question illustration
A
Jillian is incorrect because the square root of .
Option A
B
Jillian is incorrect because a square root is always rational.
C
Jillian is incorrect because square roots of perfect squares are rational.
D
Jillian is incorrect because the decimal expansion of is a repeating decimal.
Option D
13

Which numbers are irrational? Check all that apply.

A
StartRoot 196 EndRoot
Option A
B
StartRoot 80 EndRoot
Option B
C
StartRoot 16 EndRoot
Option C
D
Pi
Option D
E
StartRoot 12 EndRoot
Option E
F
StartFraction 7 Over 18 EndFraction
Option F
14

Tamika builds a wooden skateboard ramp. The ramp measures 63 centimeters, and the length of its horizontal base is 60 centimeters, as shown.In centimeters, what is the approximate height of the ramp? Round the answer to the nearest tenth of a centimeter.

Question illustration
Answer not available
15

The values and are plotted on the number line. What is the approximate difference in tenths between the two values?

Question illustration
A
0.5
B
0.9
C
1.1
D
2.4

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