Radical Equations and Extraneous Roots — Unit test Answers
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21
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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
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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)
26
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
27
What is the solution of ?
A
x = 6B
x = 72C
x = 126D
no solution28
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
29
The formula gives the length of the side, s, of a cube with a surface area, SA. How much longer is the side of a cube with a surface area of 180 square meters than a cube with the surface area of 120 square meters?
A
m
B
m
C
m
D
m
30
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
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