Unit Test — Unit test Answers

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What is the solution to the equation ?

Question illustration
A
y = –4 and y = 4
B
y = 0
C
all real numbers
D
no solution
2
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Ted can clear a football field of debris in 3 hours. Jacob can clear the same field in 2 hours. When they work together, the situation can be modeled by the equation, where t is the number of hours it would take to clear the field together.How long will it take Ted and Jacob to clear the field together?

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A
12 minutes
B
50 minutes
C
1 hour 12 minutes
D
2 hours 30 minutes
3

Max can mow a lawn in 45 minutes. Jan takes twice as long to mow the same lawn. If they work together, the situation can be modeled by the following equation, where t is the number of minutes it would take to mow the lawn together.How long will it take Maxine and Jan to mow the lawn together?

Question illustration
A
30.0 minutes
B
45.0 minutes
C
67.5 minutes
D
135.0 minutes
4

How many extraneous solutions does the equation below have?

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A
0
B
1
C
2
D
3
5

Which graph represents the function ?

Question illustration
A
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 2, and the horizontal asymptote is at y = 0.
Option A
B
On a coordinate plane, a hyperbola is shown. One curve opens up and to the left in quadrant 2, and the other curve opens down and to the left in quadrant 4. A vertical asymptote is at x = 1, and the horizontal asymptote is at y = 1.
Option B
C
On a coordinate plane, a hyperbola is shown. One curve opens up and to the left in quadrant 2, and the other curve opens down and to the left in quadrant 4. A vertical asymptote is at x = negative 2, and the horizontal asymptote is at y = 4.
Option C
D
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 2, and the horizontal asymptote is at y = 3.
Option D
6

Which solution to the equation is extraneous?

Question illustration
A
g = –4
B
g = –4 and g = 16
C
neither g = –4 nor g = 16
D
g = 16
7

Which statement describes the behavior of the function ?

Question illustration
A
The graph approaches –2 as x approaches infinity.
B
The graph approaches 0 as x approaches infinity.
C
The graph approaches 1 as x approaches infinity.
D
The graph approaches 2 as x approaches infinity.
8

Which expression is equivalent to ? Assume .

Question illustration
A
StartFraction y Superscript 8 Baseline Over x Superscript 10 Baseline EndFraction
Option A
B
StartFraction x Superscript 5 Baseline Over y Superscript 7 Baseline EndFraction
Option B
C
StartFraction x Superscript 5 Baseline Over y Superscript 4 Baseline EndFraction
Option C
D
StartFraction x Over y Superscript 7 Baseline EndFraction
Option D
9

Which of the following represents the solution of ?

Question illustration
A
x = one-fifth
Option A
B
x = five-ninths
Option B
C
all real numbers
D
no solution

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