AnswersVOA Math MN-Algebra I with Quadratics CR 3BRational Exponents

Rational Exponents — Unit test Answers

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Which expression is equivalent to ?

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Negative 4 x Superscript 4 Baseline y Superscript 6
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Negative 8 x Superscript 4 Baseline y Superscript 6
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StartFraction 4 x Superscript 4 Baseline Over y Superscript 6 EndFraction
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StartFraction 8 x Superscript 4 Baseline Over y Superscript 6 Baseline EndFraction
Option D
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Which expression is equivalent to ?

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StartFraction x Superscript one-half baseline Over y z squared EndFraction
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StartFraction x Superscript one-half baseline Over y Superscript one-fourth Baseline z squared EndFraction
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StartFraction y Superscript one-half Baseline Over x z squared EndFraction
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StartFraction x z squared Over y Superscript one-half EndFraction
Option D
3

What is the difference?

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What is the product? Assume y 0.

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Which shows the expressions rewritten with the least common denominator? and

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and
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and
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and
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and
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What is the sum?

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What is the quotient of ? Assume a0, b0, and c0.

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a2c
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a3bc
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Pia is subtracting from . She finds the LCD to be 4p2.

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What is the quotient? Assume x ≠ 0, x ≠ 1, and x ≠ −1.

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10

Morgan made a mistake when subtracting the rational expressions below.

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Morgan forgot to combine only like terms.
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Morgan forgot to subtract the denominators as well as the numerators.
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Morgan forgot to cancel out the +3 in the numerator and denominator as her final step.
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Morgan forgot to distribute the negative sign to two of the terms in the second expression.
11

What is the quotient? Assume c ≠ 0.

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12

What is ?

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13

Which rational expression is undefined when a = 1?

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14

Doug bought a new car for $25,000. He estimates his car will depreciate, or lose value, at a rate of 20% per year. The value of his car is modeled by the equation V = P(1 – r)t, where V is the value of the car, P is the price he paid, r is the annual rate of depreciation, and t is the number of years he has owned the car. According to the model, what will be the approximate value of his car after years?

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$2,500
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$9,159
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$22,827
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$23,791
15

What is the difference?

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