AnswersAdvanced Algebra Concepts and Connections_TC_Online LearningUnit Test

Unit Test — Unit test Answers

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1
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What is the following product? Assume

Question illustration
A
80 x Superscript 4 Baseline + 8 x Superscript 4 Baseline StartRoot 30 x EndRoot + 24 x Superscript 4
Option A
B
80 x Superscript 6 Baseline + 8 x Superscript 5 Baseline + 8 x Superscript 5 Baseline StartRoot 30 EndRoot + 24 x Superscript 4
Option B
C
104 x Superscript 4
Option C
D
104 x Superscript 4 + 16 x Superscript 4 Baseline StartRoot 30 EndRoot
Option D
2
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Kaylib’s eye-level height is 48 ft above sea level, and Addison’s eye-level height is ft above sea level. How much farther can Addison see to the horizon? Use the formula , with d being the distance they can see in miles and h being their eye-level height in feet.

Question illustration
A
mi
Option A
B
mi
Option B
C
mi
Option C
D
mi
Option D
3

What is the following product?

Question illustration
A
x squared (RootIndex 3 StartRoot 28 x squared EndRoot)
Option A
B
x Superscript 5 Baseline (RootIndex 3 StartRoot 28 x EndRoot)
Option B
C
4 x squared (RootIndex 3 StartRoot 3 x squared EndRoot)
Option C
D
4 x Superscript 5 Baseline (RootIndex 3 StartRoot 3 x EndRoot)
Option D
4

Mario invested $6,000 in an account that pays 5% annual interest compounded annually. Using the formula A = P(1 + r)t, what is the approximate value of the account after 2.5 years?

A
$6,075
B
$6,118
C
$6,456
D
$6,778
5

Which represents a side length of a square that has an area of 450 square inches?

A
in.
Option A
B
in.
Option B
C
112.5 in.
D
115.5 in.
6

What is the following quotient?

Question illustration
A
StartFraction StartRoot 3 EndRoot Over 4 EndFraction
Option A
B
StartFraction 1 + StartRoot 3 EndRoot Over 4 EndFraction
Option B
C
StartFraction 1 minus StartRoot 3 EndRoot Over 4 EndFraction
Option C
D
StartFraction negative 1 + StartRoot 3 EndRoot Over 2 EndFraction
Option D
7

The equation shows the relationship between a planet’s orbital period, T, and the planet’s mean distance from the sun, A, in astronomical units, AU. If the orbital period of planet Y is twice the orbital period of planet X, by what factor is the mean distance increased?

Question illustration
A
2 Superscript one-third
Option A
B
2 Superscript one-half
Option B
C
2 Superscript two-thirds
Option C
D
2 Superscript three-halves
Option D
8

What value of c makes the equation true? Assume and

Question illustration
A
c = 12
B
c = 16
C
c = 64
D
c = 81
9

What is the following quotient?

Question illustration
A
StartFraction 9 StartRoot 7 EndRoot + StartRoot 14 EndRoot Over negative 3 EndFraction
Option A
B
StartFraction 36 minus 9 StartRoot 7 EndRoot + 4 StartRoot 2 EndRoot minus StartRoot 14 EndRoot EndFraction
Option B
C
StartFraction 36 + 9 StartRoot 7 EndRoot + 4 StartRoot 2 EndRoot + StartRoot 14 EndRoot Over 9 EndFraction
Option C
D
StartFraction 79 Over 9 EndFraction
Option D
10

What is the following sum?

Question illustration
A
7 x (RootIndex 6 StartRoot x squared y EndRoot)
Option A
B
7 x squared (RootIndex 6 StartRoot x y squared EndRoot)
Option B
C
7 x squared (RootIndex 3 StartRoot x y squared EndRoot)
Option C
D
7 x (RootIndex 3 StartRoot x squared y EndRoot)
Option D
11

Which expression is equivalent to ?

Question illustration
A
StartFraction RootIndex 4 StartRoot 200 EndRoot Over 2 EndFraction
Option A
B
StartFraction RootIndex 4 StartRoot 20 EndRoot Over 2 EndFraction
Option B
C
StartFraction 2 StartRoot 5 EndRoot Over 5 EndFraction
Option C
D
StartFraction 100 Over 8 EndFraction
Option D
12

What is the following product?

Question illustration
A
2 StartRoot 10 EndRoot
Option A
B
3 StartRoot 10 EndRoot
Option B
C
4 StartRoot 10 EndRoot
Option C
D
10 StartRoot 3 EndRoot
Option D
13

What is the following simplified product? Assume

Question illustration
A
10 x Superscript 4 Baseline StartRoot 6 EndRoot + x cubed StartRoot 30 x EndRoot minus 10 x Superscript 4 Baseline StartRoot 3 EndRoot + x squared StartRoot 15 x EndRoot
Option A
B
11 x Superscript 4 Baseline StartRoot 6 EndRoot + x cubed StartRoot 30 x EndRoot minus x Superscript 4 Baseline StartRoot 75 EndRoot + x squared StartRoot 15 EndRoot
Option B
C
10 x Superscript 4 Baseline StartRoot 6 EndRoot + x cubed StartRoot 30 x EndRoot minus 10 x Superscript 4 Baseline StartRoot 3 EndRoot minus x squared StartRoot 15 EndRoot
Option C
D
11 x Superscript 4 Baseline StartRoot 6 EndRoot + x cubed StartRoot 30 x EndRoot minus 10 x Superscript 4 Baseline StartRoot 3 EndRoot minus x cubed StartRoot 15 x EndRoot
Option D
14

Which expression is equivalent to ?

Question illustration
A
8y10
B
8y50
C
32y10
D
32y50
15

What is the simplest form of ?

Question illustration
A
3 x squared (RootIndex 4 StartRoot y Superscript 5 EndRoot
Option A
B
3 x squared y (RootIndex 4 StartRoot y EndRoot)
Option B
C
9 x squared y (RootIndex 4 StartRoot y EndRoot)
Option C
D
9 x Superscript 4 Baseline y squared (RootIndex 4 StartRoot y EndRoot)
Option D
16

Which expression is equivalent to ? Assume and .

Question illustration
A
2 a cubed (RootIndex 4 StartRoot 9 b cubed EndRoot)
Option A
B
2 a Superscript 4 Baseline b (RootIndex 4 StartRoot 18 EndRoot)
Option B
C
6 a cubed (RootIndex 4 StartRoot 3 b cubed EndRoot)
Option C
D
12 a Superscript 6 Baseline b (RootIndex 4 StartRoot b EndRoot)
Option D
17

What is the simplified form of the following expression?

Question illustration
A
6 StartRoot 2 EndRoot
Option A
B
18 StartRoot 2 EndRoot
Option B
C
30 StartRoot 2 EndRoot
Option C
D
36 StartRoot 2 EndRoot
Option D
18

Which expression is equivalent to ?

Question illustration
A
StartFraction RootIndex 12 StartRoot 27 EndRoot Over 2 EndFraction
Option A
B
StartFraction RootIndex 4 StartRoot 24 EndRoot Over 2 EndFraction
Option B
C
StartFraction RootIndex 12 StartRoot 55296 EndRoot Over 2 EndFraction
Option C
D
StartFraction RootIndex 12 StartRoot 177147 EndRoot Over 3 EndFraction
Option D
19

The formula gives the length of the side, s, of a cube with a surface area, SA. How much longer is the side of a cube with a surface area of 1,200 square inches than a cube with the surface area of 768 square inches?

Question illustration
A
in.
Option A
B
in.
Option B
C
in.
Option C
D
in.
Option D
20

Which expression is equivalent to ?

Question illustration
A
216
B
1,728
C
RootIndex 3 StartRoot 12 EndRoot
Option C
D
RootIndex 3 StartRoot 72 EndRoot
Option D

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