Unit Test Answers
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1
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Which expression is equivalent to ?
A
StartFraction RootIndex 12 StartRoot 27 EndRoot Over 2 EndFraction
B
StartFraction RootIndex 4 StartRoot 24 EndRoot Over 2 EndFraction
C
StartFraction RootIndex 12 StartRoot 55296 EndRoot Over 2 EndFraction
D
StartFraction RootIndex 12 StartRoot 177147 EndRoot Over 3 EndFraction
1
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What is the following quotient?
A
StartFraction 5 StartRoot 11 EndRoot minus 5 StartRoot 3 EndRoot Over 8 EndFraction
B
StartFraction 5 StartRoot 11 EndRoot + 5 StartRoot 3 EndRoot Over 8 EndFraction
C
Five-eighths
D
StartFraction 5 StartRoot 2 EndRoot Over 4 EndFraction
2
The speed that a tsunami can travel is modeled by the equation , where S is the speed in kilometers per hour and d is the average depth of the water in kilometers. What is the approximate depth of water for a tsunami traveling at 200 kilometers per hour?
A
0.32 kmB
0.75 kmC
1.12 kmD
3.17 km2
What is the solution of ?
A
x = 6B
x = 72C
x = 126D
no solution3
What is the following quotient?
A
StartFraction 9 StartRoot 7 EndRoot + StartRoot 14 EndRoot Over negative 3 EndFraction
B
StartFraction 36 minus 9 StartRoot 7 EndRoot + 4 StartRoot 2 EndRoot minus StartRoot 14 EndRoot EndFraction
C
StartFraction 36 + 9 StartRoot 7 EndRoot + 4 StartRoot 2 EndRoot + StartRoot 14 EndRoot Over 9 EndFraction
D
StartFraction 79 Over 9 EndFraction
3
Which function has the same domain as ?
A
y = StartRoot 2 x EndRoot
B
y = 2 RootIndex 3 StartRoot x EndRoot
C
y = StartRoot x minus 2 EndRoot
D
y = RootIndex 3 StartRoot x minus 2 EndRoot
4
What is the solution of ?
A
x = –3B
x = 4C
x = –3 or x = 4D
no solution
5
What is the simplified form of the following expression? Assume
A
StartFraction RootIndex 4 StartRoot 6 x EndRoot Over 2 x EndFraction
B
StartFraction RootIndex 4 StartRoot 24 x cubed EndRoot Over 2 x EndFraction
C
StartFraction RootIndex 4 StartRoot 24 x cubed EndRoot Over 16 x Superscript 4 Baseline EndFraction
D
RootIndex 4 StartRoot 12 x squared EndRoot
6
Which function is undefined for x = 0?
A
y = RootIndex 3 StartRoot x minus 2 EndRoot
B
y = StartRoot x minus 2 EndRoot
C
y = RootIndex 3 StartRoot x + 2 EndRoot
D
y = StartRoot x + 2 EndRoot
7
What is the following product? Assume
A
80 x Superscript 4 Baseline + 8 x Superscript 4 Baseline StartRoot 30 x EndRoot + 24 x Superscript 4
B
80 x Superscript 6 Baseline + 8 x Superscript 5 Baseline + 8 x Superscript 5 Baseline StartRoot 30 EndRoot + 24 x Superscript 4
C
104 x Superscript 4
D
104 x Superscript 4 + 16 x Superscript 4 Baseline StartRoot 30 EndRoot
8
Which of the following is the graph of ?
A
On a coordinate plane, an absolute value curve opens up and to the right in quadrant 4. It starts at x = 3.
B
On a coordinate plane, an absolute value curve opens down and to the left in quadrants 1 and 2. It starts at x = 3.
C
On a coordinate plane, an absolute value curve opens down and to the left in quadrant 2. It starts at x = negative 3.
D
On a coordinate plane, an absolute value curve opens up and to the right in quadrants 3 and 4. It starts at x = negative 3.
9
What is the following product?
A
x squared (RootIndex 3 StartRoot 28 x squared EndRoot)
B
x Superscript 5 Baseline (RootIndex 3 StartRoot 28 x EndRoot)
C
4 x squared (RootIndex 3 StartRoot 3 x squared EndRoot)
D
4 x Superscript 5 Baseline (RootIndex 3 StartRoot 3 x EndRoot)
11
What is the simplified form of the following expression?
A
6 StartRoot 2 EndRoot
B
18 StartRoot 2 EndRoot
C
30 StartRoot 2 EndRoot
D
36 StartRoot 2 EndRoot
12
What is the solution of ?
A
x = 142B
x = 232C
x = 322D
no solution13
What is the following product?
A
2 StartRoot 10 EndRoot
B
3 StartRoot 10 EndRoot
C
4 StartRoot 10 EndRoot
D
10 StartRoot 3 EndRoot
14
The orbital period, P, of a planet and the planet’s distance from the sun, a, in astronomical units is related by the formula . If Saturn’s orbital period is 29.5 years, what is its distance from the sun?
A
9.5 AUB
19.7 AUC
44.3 AUD
160.2 AU15
What is the following simplified product? Assume
A
10 x Superscript 4 Baseline StartRoot 6 EndRoot + x cubed StartRoot 30 x EndRoot minus 10 x Superscript 4 Baseline StartRoot 3 EndRoot + x squared StartRoot 15 x EndRoot
B
11 x Superscript 4 Baseline StartRoot 6 EndRoot + x cubed StartRoot 30 x EndRoot minus x Superscript 4 Baseline StartRoot 75 EndRoot + x squared StartRoot 15 EndRoot
C
10 x Superscript 4 Baseline StartRoot 6 EndRoot + x cubed StartRoot 30 x EndRoot minus 10 x Superscript 4 Baseline StartRoot 3 EndRoot minus x squared StartRoot 15 EndRoot
D
11 x Superscript 4 Baseline StartRoot 6 EndRoot + x cubed StartRoot 30 x EndRoot minus 10 x Superscript 4 Baseline StartRoot 3 EndRoot minus x cubed StartRoot 15 x EndRoot
16
What is the following sum?
A
7 x (RootIndex 6 StartRoot x squared y EndRoot)
B
7 x squared (RootIndex 6 StartRoot x y squared EndRoot)
C
7 x squared (RootIndex 3 StartRoot x y squared EndRoot)
D
7 x (RootIndex 3 StartRoot x squared y EndRoot)
17
If the range of and the range of are the same, which statement is true about the value of m?
A
m can only equal 1.B
m can be any positive real number.C
m can be any negative real number.D
m can be any real number.18
Which of the following describes the graph of compared to the parent cube root function?
A
stretched by a factor of 2 and translated 64 units right and 5 units downB
stretched by a factor of 8 and translated 8 units right and 5 units downC
stretched by a factor of 2 and translated 8 units right and 5 units downD
stretched by a factor of 8 and translated 64 units right and 5 units down19
Which expression is equivalent to ?
A
StartFraction RootIndex 4 StartRoot 200 EndRoot Over 2 EndFraction
B
StartFraction RootIndex 4 StartRoot 20 EndRoot Over 2 EndFraction
C
StartFraction 2 StartRoot 5 EndRoot Over 5 EndFraction
D
StartFraction 100 Over 8 EndFraction
20
What is the following quotient?
A
StartFraction StartRoot 3 EndRoot Over 4 EndFraction
B
StartFraction 1 + StartRoot 3 EndRoot Over 4 EndFraction
C
StartFraction 1 minus StartRoot 3 EndRoot Over 4 EndFraction
D
StartFraction negative 1 + StartRoot 3 EndRoot Over 2 EndFraction
21
Which of the following is a like radical to ?
A
x (RootIndex 3 StartRoot 6 x EndRoot)
B
6 (RootIndex 3 StartRoot x squared EndRoot)
C
4 (RootIndex 3 StartRoot 6 x squared EndRoot)
D
x (RootIndex 3 StartRoot 6 EndRoot)
22
What is the following product?
A
RootIndex 6 StartRoot 10 EndRoot
B
RootIndex 6 StartRoot 200 EndRoot
C
RootIndex 6 StartRoot 500 EndRoot
D
RootIndex 6 StartRoot 100000 EndRoot
23
What is the simplified form of the following expression?
A
Negative 5 (RootIndex 3 StartRoot 2 x EndRoot)
B
5 (RootIndex 3 StartRoot x EndRoot)
C
RootIndex 3 StartRoot 2 x EndRoot minus 6 (RootIndex 3 StartRoot x EndRoot)
D
Negative (RootIndex 3 StartRoot 2 x EndRoot) minus 6 (RootIndex 3 StartRoot x EndRoot)
24
Which graph represents ?
A
On a coordinate plane, an absolute value curve opens down and to the right in quadrant 4 and starts at y = negative 4.
B
On a coordinate plane, an absolute value curve opens down and to the right in quadrant 1 and starts at x = 4.
C
On a coordinate plane, an absolute value curve opens down and to the right in quadrants 1 and 2 and starts at x = negative 4.
D
On a coordinate plane, an absolute value curve opens down and to the right in quadrant 1 and starts at y = 4.
25
What is the following difference?
A
Negative 3 a b (RootIndex 3 StartRoot 3 a b squared EndRoot)
B
16 a b squared (RootIndex 3 StartRoot 3 a EndRoot) minus 45 a squared b squared (RootIndex 3 StartRoot 3 b EndRoot)
C
Negative 7 a b (RootIndex 3 StartRoot 3 a b squared EndRoot)
D
8 a b (RootIndex 3 StartRoot 3 a b squared EndRoot) minus 15 a b squared (RootIndex 3 StartRoot 3 a b EndRoot)
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