Solving Equations — Unit test Answers

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1
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What is the simplest form of ?

Question illustration
A
3 x squared (RootIndex 4 StartRoot y Superscript 5 EndRoot
Option A
B
3 x squared y (RootIndex 4 StartRoot y EndRoot)
Option B
C
9 x squared y (RootIndex 4 StartRoot y EndRoot)
Option C
D
9 x Superscript 4 Baseline y squared (RootIndex 4 StartRoot y EndRoot)
Option D
3

Which expression is equivalent to ?

Question illustration
A
mc023-2.jpg
Option A
B
mc023-3.jpg
Option B
C
mc023-4.jpg
Option C
D
mc023-5.jpg
Option D
6

Which expression is equivalent to ? Assume and .

Question illustration
A
2 a cubed (RootIndex 4 StartRoot 9 b cubed EndRoot)
Option A
B
2 a Superscript 4 Baseline b (RootIndex 4 StartRoot 18 EndRoot)
Option B
C
6 a cubed (RootIndex 4 StartRoot 3 b cubed EndRoot)
Option C
D
12 a Superscript 6 Baseline b (RootIndex 4 StartRoot b EndRoot)
Option D
7

Which expression is equivalent to ?

Question illustration
A
mc008-2.jpg
Option A
B
mc008-3.jpg
Option B
C
mc008-4.jpg
Option C
D
mc008-5.jpg
Option D
8

Which expression is equivalent to ?

Question illustration
A
mc012-2.jpg
Option A
B
mc012-3.jpg
Option B
C
mc012-4.jpg
Option C
D
mc012-5.jpg
Option D
9

Which expression is equivalent to ? Assume x 0 and y > 0.

Question illustration
A
StartFraction x StartRoot y EndRoot Over 8 EndFraction
Option A
B
StartFraction y StartRoot x EndRoot Over 8 EndFraction
Option B
C
StartFraction 8 StartRoot x EndRoot Over y EndFraction
Option C
D
StartFraction 8 StartRoot y EndRoot Over x EndFraction
Option D
10

Which expression is equivalent to ?

Question illustration
A
2 StartRoot 30 x EndRoot
Option A
B
2 StartRoot 30 EndRoot
Option B
C
4 StartRoot 30 x EndRoot
Option C
D
60 StartRoot 2 x EndRoot
Option D
11

Which expression is equivalent to ? Assume x > 0 and y 0.

Question illustration
A
StartFraction x squared StartRoot 5 EndRoot Over y EndFraction
Option A
B
StartFraction y StartRoot 5 EndRoot Over x squared EndFraction
Option B
C
StartFraction StartRoot 5 EndRoot Over x squared y EndFraction
Option C
D
StartFraction x StartRoot 5 EndRoot Over y EndFraction
Option D
12

What values of c and d make the equation true?

Question illustration
A
c = 2, d = 2
B
c = 2, d = 4
C
c = 6, d = 2
D
c = 6, d = 4
14

Which law would you use to simplify the expression ?

Question illustration
A
power of a power
B
power of a quotient
C
quotient of powers
D
power of a product
15

Which expression is equivalent to ?

Question illustration
A
mc013-2.jpg
Option A
B
mc013-3.jpg
Option B
C
mc013-4.jpg
Option C
D
mc013-5.jpg
Option D
16

Which expression is equivalent to ? Assume x 0 and y > 0.

Question illustration
A
StartFraction 8 y Superscript 4 Baseline StartRoot x EndRoot Over 5 x EndFraction
Option A
B
StartFraction 8 y squared StartRoot x EndRoot Over 5 EndFraction
Option B
C
StartFraction 5 StartRoot x EndRoot Over 8 y squared EndFraction
Option C
D
StartFraction 5 x StartRoot x EndRoot Over 8 y Superscript 4 Baseline EndFraction
Option D
17

Which values of a and b make the equation true?

Question illustration
A
a = 0, b = 0
B
a = 3, b = 3
C
a = 4, b = 4
D
a = 5, b = 5
18

Which expression is equivalent to ?

Question illustration
A
mc024-2.jpg
Option A
B
mc024-3.jpg
Option B
C
mc024-4.jpg
Option C
D
mc024-5.jpg
Option D
19

Which expression is equivalent to ?

Question illustration
A
mc001-2.jpg
Option A
B
mc001-3.jpg
Option B
C
mc001-4.jpg
Option C
D
mc001-5.jpg
Option D
20

Which expression is equivalent to ? Assume .

Question illustration
A
StartFraction x squared StartRoot x EndRoot Over 3 EndFraction
Option A
B
StartFraction 3 StartRoot x EndRoot Over x squared EndFraction
Option B
C
StartFraction StartRoot x EndRoot Over 3 x squared EndFraction
Option C
D
StartFraction 2 x StartRoot x EndRoot Over 3 EndFraction
Option D

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