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

Rational Exponents — Unit test Answers

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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
2
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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
3

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

Question illustration
A
and
Option A
B
and
Option B
C
and
Option C
D
and
Option D
4

What is the sum?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
5

What is the quotient of ? Assume y0.

Question illustration
A
Option
Option A
B
Option
Option B
C
2
D
4
6

Which expressions are equivalent to when x0? Select three options.

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
E
Option
Option E
7

Which shows all the values of a that make the rational expression undefined?

Question illustration
A
a = 9
B
a = 3
C
a = –9 or a = 9
D
a = –3 or a = 3
8

What is the value of the rational expression when x = 5?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
9

Mark is adding and . He finds the LCD to be 3x. What should he do next to find the sum?

Question illustration
A
multiply and
Option A
B
multiply and
Option B
C
multiply
Option C
D
multiply
Option D
10

Which expression is equivalent to ?

Question illustration
A
8y10
B
8y50
C
32y10
D
32y50
11

Valentina is subtracting from . She finds the LCD to be 15y2. What is Valentina's next step?

Question illustration
A
multiply and
Option A
B
multiply and
Option B
C
multiply and
Option C
D
multiply and
Option D
12

Which rational expression has a value of 0 when x = –2?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
13

What is the value of the rational expression when x = 3?

Question illustration
A
Option
Option A
B
0
C
Option
Option C
D
undefined
14

What is the product of and when g0?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
15

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
16

Which of the following is equivalent to ?

Question illustration
A
–18
B
–6
C
One-eighteenth
Option C
D
One-sixth
Option D
17

For which rational expressions is –5 an excluded value? Select two options.

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
E
Option
Option E
18

What is the missing divisor in the equation? Assume x4 and x0.

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
19

Which represents all the values of x that make the rational expression undefined?

Question illustration
A
x = –3
B
x = 7
C
x = –7 or x = 7
D
x = –3 or x = 3
20

Which of the following is equivalent to ?

Question illustration
A
132
B
1315
C
13 Superscript five-thirds
Option C
D
13 Superscript three-fifths
Option D

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