AnswersFL-1200700-Mathematics for College Algebra MISInequalities

Inequalities — Unit test Answers

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1
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Which expression is equivalent to ?

Question illustration
A
StartFraction x Superscript one-half baseline Over y z squared EndFraction
Option A
B
StartFraction x Superscript one-half baseline Over y Superscript one-fourth Baseline z squared EndFraction
Option B
C
StartFraction y Superscript one-half Baseline Over x z squared EndFraction
Option C
D
StartFraction x z squared Over y Superscript one-half EndFraction
Option D
2
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Which graph shows all the values that satisfy

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
3

For what values of a and m does f(x) have a horizontal asymptote at y = 2 and a vertical asymptote at x = 1?

Question illustration
a
a = –1, m = 0
a
a = 1, m = 0
a
a = –1, m = 1
a
a = 1, m = 1
4

Cheryl has $56 and wants to buy as many notebooks as she can to donate to her school. If each notebook costs $1.60, which inequality shows n, the maximum number of notebooks she can buy with her money?

A
1.6 n greater-than-or-equal-to 56
Option A
B
1.6 n less-than-or-equal-to 56
Option B
C
56 n less-than-or-equal-to 1.6
Option C
D
56 n greater-than-or-equal-to 1.6
Option D
5

Which expression is equivalent to ?

Question illustration
A
Negative 4 x Superscript 4 Baseline y Superscript 6
Option A
B
Negative 8 x Superscript 4 Baseline y Superscript 6
Option B
C
StartFraction 4 x Superscript 4 Baseline Over y Superscript 6 EndFraction
Option C
D
StartFraction 8 x Superscript 4 Baseline Over y Superscript 6 Baseline EndFraction
Option D
6

Which graph shows the solution set of the compound inequality or

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

Solve for in the equation .

Question illustration
A
x = negative 11 plus-or-minus StartFraction 25 Over 2 EndFraction
Option A
B
x = negative eleven-halves plus-or-minus StartFraction 25 Over 2 EndFraction
Option B
C
x = negative 11 plus-or-minus StartFraction 5 StartRoot 5 EndRoot Over 2 EndFraction
Option C
D
x = negative eleven-halves plus-or-minus StartFraction 5 StartRoot 5 EndRoot Over 2 EndFraction
Option D
8

A water tank has 22 gallons of water. It begins to receive 26 gallons per hour for a number of hours. If the tank needs to fill to at least 516 gallons, which of the following is the minimum number of hours the tank should continue filling?

5
5.2
1
19
2
20.7
2
23
9

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

Question illustration
S
She divided the coefficients incorrectly.
S
She added the exponents instead of subtracting them.
S
She divided the coefficients instead of subtracting them.
S
She subtracted the exponents instead of dividing them.
10

What are the values of x in the equation x2 – 6x + 9 = 25?

A
x = –2 or x = 8
B
x = –1 or x = –11
C
x = 1 or x = 11
D
x = 2 or x = –8
11

Solve for in the equation .

Question illustration
A
x = 3 plus-or-minus StartRoot 23 EndRoot
Option A
B
x = 3 plus-or-minus StartRoot 51 EndRoot
Option B
C
x = 3 plus-or-minus StartRoot 41 EndRoot
Option C
D
x = 3 plus-or-minus StartRoot 5 EndRoot
Option D
12

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 planet Y is k times the mean distance from the sun as planet X, by what factor is the orbital period increased?

Question illustration
A
k Superscript one-third
Option A
B
k Superscript one-half
Option B
C
k Superscript two-thirds
Option C
D
k Superscript three-halves
Option D
13

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
14

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
15

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?

Question illustration
A
$2,500
B
$9,159
C
$22,827
D
$23,791

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