AnswersPBCSD_Grade_Forgiveness_1200710_Mathematics_for_College_Algebra_S2_2023Unit Test

Unit Test — Unit test Answers

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21
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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
22
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The speed that a tsunami can travel is modeled by the equation , where S is the speed in kilometers per hour and d is the average depth of the water in kilometers. What is the approximate depth of water for a tsunami traveling at 200 kilometers per hour?

Question illustration
A
0.32 km
B
0.75 km
C
1.12 km
D
3.17 km
23

Which expression is equivalent to ?

Question illustration
A
8y10
B
8y50
C
32y10
D
32y50
24

The orbital period, P, of a planet and the planet’s distance from the sun, a, in astronomical units is related by the formula . If Saturn’s orbital period is 29.5 years, what is its distance from the sun?

Question illustration
A
9.5 AU
B
19.7 AU
C
44.3 AU
D
160.2 AU
25

Determine the solution for the following equation:

Question illustration
A
x = 3
B
x = 5
C
x = 13
D
x = 65
26

Which expression is equivalent to ?

Question illustration
A
4x2
B
4x4
C
64x2
D
64x4
27

What is the solution of ?

Question illustration
A
x = 142
B
x = 232
C
x = 322
D
no solution
28

Which of the following describes the solution to the equation ?

Question illustration
A
– 5 is an extraneous solution, and 1 is a true solution.
B
– 5 is a true solution, and 1 is an extraneous solution.
C
Both –5 and 1 are true solutions.
D
Both –5 and 1 are extraneous solutions.
29

The population, p, of a town after t years is represented using the equation . Which of the following is an equivalent expression?

Question illustration
A
mc005-2.jpg
Option A
B
mc005-3.jpg
Option B
C
mc005-4.jpg
Option C
D
mc005-5.jpg
Option D
30

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
31

Which expression is equivalent to ?

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

Which equation results from isolating a radical term and squaring both sides of the equation for the equation ?

Question illustration
A
mc012-2.jpg
Option A
B
mc012-3.jpg
Option B
C
mc012-4.jpg
Option C
D
mc012-5.jpg
Option D
33

What is the simplified value of the exponential expression ?

Question illustration
A
Option
Option A
B
Option
Option B
C
2
D
4
34

Which is equivalent to ?

Question illustration
A
3
B
6
C
36
D
72
35

Which is an equivalent form of the expression 1800(1.2)–t?

A
mc001-1.jpg
Option A
B
mc001-2.jpg
Option B
C
mc001-3.jpg
Option C
D
mc001-4.jpg
Option D
36

What is the solution of ?

Question illustration
A
x = –3
B
x = 4
C
x = –3 or x = 4
D
no solution
37

What value of c makes the equation true? Assume and

Question illustration
A
c = 12
B
c = 16
C
c = 64
D
c = 81
38

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
39

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
40

When simplified, the expression is 12. Which is a possible value of x?

Question illustration
A
6
B
24
C
144
D
256

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