Graphing Rational Functions — Unit test Answers

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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.
2
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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
3

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.
5

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
6

A chemist has 500 mL of a 30% acid solution. She adds x milliliters of a 10% acid solution. Which statement is true about the graph of the function that represents the concentration of the final solution?

A
The horizontal asymptote y = 30 means that the final concentration will always be less than 30%.
B
The horizontal asymptote y = 10 means that the final concentration will always be greater than 10%.
C
The vertical asymptote x = 500 means that the volume of the solution will always be greater than 500 mL.
D
The vertical asymptote x = 0 means that the volume of the solution will always be greater than 0 mL.

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Graphing Rational Functions — Unit test Answers…