Unit Test — Unit test Answers
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1
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How can Ari simplify the following expression?
A
Write the numerator and denominator with a common denominator. Then divide the numerator by the denominator. To do this, multiply the numerator by the reciprocal of the denominator.B
Write the numerator and denominator with a common denominator. Then divide the numerator by the denominator. To do this, multiply the numerators and multiply the denominators.C
Divide the numerator and the denominator by a – 3. Then divide the numerator by the denominator.D
Divide the numerator and the denominator by a – 3. Then simplify the numerator and simplify the denominator.2
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Which expression is equivalent to ?
A
StartFraction m minus 4 Over (m + 4) (m + 2) EndFraction
B
StartFraction (m + 4) (m + 2) Over m minus 4 EndFraction
C
StartFraction (m minus 4) (m + 2) Over m + 4 EndFraction
D
StartFraction m + 4 Over (m minus 4) (m + 2) EndFraction
3
What is the product?
A
StartFraction 4 n Over n + 1 EndFraction
B
StartFraction n Over n + 1 EndFraction
C
StartFraction 1 Over n + 1 EndFraction
D
StartFraction 4 Over n + 1 EndFraction
4
Which expression is equivalent to ? Assume .
A
StartFraction 8 m Superscript 7 Baseline n Superscript 6 Baseline Over 3 EndFraction
B
StartFraction 10 m Superscript 7 Baseline n Superscript 6 Baseline Over 3 EndFraction
C
StartFraction 8 m Superscript 16 Baseline n Superscript 12 Baseline Over 3 EndFraction
D
StartFraction m Superscript 4 Baseline n Superscript 6 Baseline Over 3 EndFraction
5
Which expression is equivalent to the following complex fraction?
A
StartFraction negative 2 y + 5 x Over 3 x minus 2 y EndFraction
B
StartFraction 3 x minus 2 y Over negative 2 y + 5 x EndFraction
C
StartFraction x squared y squared Over (negative 2 y + 5 x) (3 x minus 2 y) EndFraction
D
StartFraction (negative 2 y + 5 x) (3 x minus 2 y) Over x squared y squared EndFraction
6
Which expression is equivalent to ? Assume .
A
StartFraction m Superscript 5 Baseline Over 162 n EndFraction
B
StartFraction 1 Over 2 m cubed n EndFraction
C
StartFraction 8 m Superscript 9 Baseline Over n Superscript 9 Baseline EndFraction
D
StartFraction 4 m Superscript 8 Baseline Over 3 n cubed EndFraction
7
Using V = lwh, what is an expression for the volume of the following prism?
A
StartFraction 4 (d minus 2) Over 3 (d minus 3)(d minus 4) EndFraction
B
StartFraction 4 d minus 8 Over 3 (d minus 4) squared EndFraction
C
StartFraction 4 Over 3 d minus 12 EndFraction
D
StartFraction 1 Over 3 d minus 3 EndFraction
8
Which expression is equivalent to ? Assume .
A
StartFraction 5 Over x Superscript 12 Baseline y Superscript 30 Baseline EndFraction
B
StartFraction 1 Over 5 x Superscript 8 Baseline y Superscript 13 Baseline EndFraction
C
StartFraction 5 Over x Superscript 4 Baseline y Superscript 7 Baseline EndFraction
D
StartFraction y Superscript 7 Baseline Over 5 x Superscript 4 Baseline EndFraction
9
Which expression is equivalent to the expression below?
A
StartFraction 1 Over (m + 4) (m + 3) EndFraction
B
StartFraction 1 Over (m minus 4) (m minus 3) EndFraction
C
StartFraction m minus 4 Over m minus 3 EndFraction
D
StartFraction m + 3 Over m + 4 EndFraction
10
Mr. Knotts found the difference of the following expression. Which statement is true about Mr. Knotts’s work? Step 1: Step 2: Step 3: Step 4:
A
In step 1, he did not correctly factor the denominator.B
In step 2, he did not use the correct common denominator.C
In step 3, he did not distribute the negative sign when he subtracted.D
In step 4, he did not correctly subtract the numerator.11
What is the difference?
A
StartFraction 2 (x + 6) Over (x + 4) (x minus 4) EndFraction
B
StartFraction negative 2 (x + 6) Over (x + 4) (x minus 4) EndFraction
C
StartFraction x minus 3 Over (x + 5) (x minus 4) EndFraction
D
StartFraction negative 2 (x minus 6) Over (x + 4) (x minus 4) EndFraction
12
Which expression is equivalent to ? Assume .
A
StartFraction x Superscript 10 Baseline y Superscript 14 Baseline Over 729 EndFraction
B
StartFraction x Superscript 22 Baseline Over 18 y Superscript 46 Baseline EndFraction
C
StartFraction 729 Over x Superscript 10 Baseline y Superscript 14 Baseline EndFraction
D
StartFraction 18 y Superscript 46 Baseline Over x Superscript 22 Baseline EndFraction
13
What is the quotient in simplified form? Assume .
A
Negative StartFraction 3 p Superscript 8 Baseline Over 4 q cubed EndFraction
B
Negative StartFraction 3 Over 4 p Superscript 16 Baseline q Superscript 9 Baseline EndFraction
C
Negative StartFraction p Superscript 8 Baseline Over 5 q cubed EndFraction
D
Negative StartFraction 1 Over 5 p Superscript 16 Baseline q Superscript 9 Baseline EndFraction
14
Which expression is equivalent to ? Assume .
A
StartFraction 3 Over 5 x Superscript 5 Baseline y cubed EndFraction
B
StartFraction 3 Over 5 x Superscript 6 Baseline y Superscript 6 Baseline EndFraction
C
StartFraction 5 Over 3 x Superscript 5 Baseline y cubed EndFraction
D
StartFraction 5 Over 3 x Superscript 6 Baseline y Superscript 6 Baseline EndFraction
15
What is the difference?
A
StartFraction x minus 1 Over 6 x + 4 EndFraction
B
StartFraction negative 1 Over 4 x + 2 EndFraction
C
StartFraction 1 Over x + 2 EndFraction
D
StartFraction x minus 1 Over x squared + 3 x + 2 EndFraction
16
What is the difference?
A
StartFraction x squared + 3 x + 12 Over (x minus 3) (x minus 5) (x + 7) EndFraction
B
StartFraction x (x + 3 minus 12) Over (x + 3) (x minus 5) (x + 7) EndFraction
C
StartFraction x squared + 3 x + 12 Over (x + 3) (x minus 5) (x + 7) EndFraction
D
StartFraction x squared + 3 x minus 12 Over (x + 3) (x minus 5) (x + 7) EndFraction
17
Which shows the following expression after the negative exponents have been eliminated?,
A
StartFraction a cubed b Superscript negative 4 Baseline Over a b Superscript negative 2 Baseline EndFraction
B
StartFraction a b Superscript 4 Baseline Over a cubed b squared EndFraction
C
Negative StartFraction a cubed b Superscript 4 Baseline Over a b squared EndFraction
D
StartFraction a cubed b Superscript 4 Baseline a b squared EndFraction
18
What is the sum?
A
StartFraction 8 Over x squared + x minus 6 EndFraction
B
StartFraction 5 x minus 12 Over x minus 3 EndFraction
C
StartFraction negative 5 x Over (x + 3) (x minus 3) EndFraction
D
StartFraction 5 x minus 12 Over (x + 3) (x minus 3)
19
Which expression is equivalent to ? Assume .
A
StartFraction 2 Over 3 a Superscript 4 Baseline b Superscript 10 Baseline EndFraction
B
StartFraction 4 Over 9 a Superscript 4 Baseline b Superscript 10 Baseline EndFraction
C
StartFraction 1 Over 36 a Superscript 4 Baseline b Superscript 10 Baseline EndFraction
D
StartFraction 36 a Superscript 4 Baseline b Superscript 10 Baseline EndFraction
20
Which expression is equivalent to ? Assume .
A
StartFraction 2 Over p Superscript 15 Baseline q Superscript 12 Baseline EndFraction
B
StartFraction 7 p Superscript 15 Baseline Over 3 q Superscript 12 Baseline EndFraction
C
StartFraction 2 q Superscript 12 Baseline Over p Superscript 15 Baseline EndFraction
D
StartFraction 7 p Superscript 15 Baseline q Superscript 12 Baseline Over 3 EndFraction
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