AnswersPBCSD_Grade_Forgiveness_1200330_Algebra 2_S2_2024Rational Equations

Rational Equations — Unit test Answers

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1
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Which expression is equivalent to ?

Question illustration
A
StartFraction 1 Over x EndFraction
Option A
B
StartFraction 1 Over x Superscript 5 Baseline EndFraction
Option B
C
StartFraction 1 Over x Superscript 9 Baseline EndFraction
Option C
D
StartFraction 1 Over x Superscript 24 Baseline EndFraction
Option D
2
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Which expression is equivalent to the following complex fraction?

Question illustration
A
StartFraction y + x Over y minus x EndFraction
Option A
B
StartFraction (y minus x) (y + x) Over x squared y squared EndFraction
Option B
C
StartFraction x squared y squared Over (y + x) (y + x) EndFraction
Option C
D
StartFraction y minus x Over y + x EndFraction
Option D
3

Using V = lwh, what is an expression for the volume of the following rectangular prism?

Question illustration
A
StartFraction 15 Over 2 x EndFraction
Option A
B
StartFraction 3 x + 12 Over 2 x + 8 EndFraction
Option B
C
StartFraction 15 Over 2 x + 2 EndFraction
Option C
D
Fifteen-eighths
Option D
4

Which expression is equivalent to the expression below?

Question illustration
A
StartFraction 3 c (2 c minus 1) Over 2 c + 1 EndFraction
Option A
B
StartFraction negative 3 c (2 c + 1) squared Over 4 (2 c minus 1) squared EndFraction
Option B
C
3c
D
–3c
5

Haji rows his canoe 10 mph in still water. He noticed one day that he could row 4 miles upstream in the same amount of time he could row 6 miles downstream. What was the approximate speed of the current that day?

A
2.0 mph
B
3.3 mph
C
5.0 mph
D
10.0 mph
6

Riley makes a mistake in step 2 while doing her homework. What was her mistake? Step 1: Step 2: Step 3: Step 4:

Question illustration
A
She added the two fractions incorrectly.
B
She used the wrong common denominator.
C
She did not distribute the negative correctly.
D
She did not multiply the first fraction by a factor.
7

What is the product?

Question illustration
A
StartFraction k + 1 Over k squared EndFraction
Option A
B
StartFraction k minus 1 Over k squared EndFraction
Option B
C
StartFraction negative 1 Over k EndFraction
Option C
D
StartFraction 1 Over k EndFraction
Option D
8

Which expressions are equivalent to ?

Question illustration
A
2–10 and
Option A
B
2–10 and
Option B
C
10–2 and
Option C
D
10–10 and
Option D
9

Lupe can ride her bike at a rate of 20 mph when there is no wind. On one particular day, she rode 2 miles against the wind and noticed that it took her the same amount of time as it did to ride 3 miles with the wind. How fast was the wind blowing that day?

A
4 mph
B
7 mph
C
10 mph
D
12 mph
10

What is the quotient?

Question illustration
A
StartFraction 1 Over 2 y EnDfraction
Option A
B
StartFraction 3 y + 2 Over 6 y squared EndFraction
Option B
C
StartFraction 1 Over y EndFraction
Option C
D
StartFraction 2 (3 y + 2) Over 3 EndFraction
Option D
11

Tyna simplified the expression to . What was Tyna’s mistake?

Question illustration
A
She divided the coefficients incorrectly.
B
She added the exponents instead of subtracting them.
C
She divided the coefficients instead of subtracting them.
D
She subtracted the exponents instead of dividing them.
12

What is the quotient in simplified form? Assume .

Question illustration
A
Negative StartFraction 4 a Superscript 12 Baseline b Superscript 8 Baseline Over 5 EndFraction
Option A
B
Negative StartFraction 4 a Superscript 32 Baseline b Superscript 5 Baseline Over 5 EndFraction
Option B
C
StartFraction a Superscript 12 Baseline b Superscript 8 Baseline Over 80 EndFraction
Option C
D
StartFraction a Superscript 32 Baseline b Superscript 5 Baseline Over 80 EndFraction
Option D
13

Which solution to the equation is extraneous?

Question illustration
A
a = –2
B
a = –2 and a = 4
C
neither a = –2 nor a = 4
D
a = 4
14

Which expression is equivalent to ? Assume .

Question illustration
A
StartFraction 25 p Superscript 10 Baseline Over 4 q Superscript 8 Baseline EndFraction
Option A
B
StartFraction 2 q Over 5 p Superscript 5 Baseline EndFraction
Option B
C
StartFraction p Superscript 7 Baseline q Over 160 EndFraction
Option C
D
StartFraction 125 p Superscript 11 Baseline q Over 2 EndFraction
Option D
15

What is the quotient in simplest form? Assume .

Question illustration
A
Negative StartFraction m Superscript 12 Baseline n Superscript 6 Baseline Over 2 EndFraction
Option A
B
Negative StartFraction m Superscript 27 Baseline n Superscript 8 Baseline Over 2 EndFraction
Option B
C
6 m Superscript 12 Baseline n Superscript 6 Baseline
Option C
D
8 m Superscript 12 Baseline n Superscript 6 Baseline
Option D

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