Topic Test Answers

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1
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Which expression has twice the value of ?

Question illustration
A
2 Superscript 6
Option A
B
2 Superscript 10
Option B
C
4 Superscript 5
Option C
D
4 Superscript 10
Option D
2
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Manuel created a factor tree and wrote the prime factorization of 60 shown below. What is Manuel’s error?

Question illustration
A
He did not include 15 in the prime factorization.
B
He did not find the prime factors of 4.
C
He should have started the factor tree with .
Option C
D
He should not have found the factors of 15.
4

Which expression is equivalent to ?

Question illustration
A
15 Superscript 6
Option A
B
15 Superscript 7
Option B
C
3 (5) Superscript 6
Option C
D
3 (5) Superscript 7
Option D
5

Which answer shows 0.00897 written in scientific notation?

A
0.897 times 10 Superscript negative 2
Option A
B
8.97 times 10 Superscript negative 3
Option B
C
8.97 times 10 Superscript negative 2
Option C
D
8.97 times 10 Superscript 3
Option D
8

Which expression is equivalent to ?

Question illustration
A
13 Superscript j
Option A
B
13j
C
j Superscript 13
Option C
D
j + 13
Option D
10

Which expression is equivalent to ?

Question illustration
A
6 times 3
Option A
B
6 times 6 times 6
Option B
C
6 times 6 times 6 times 6
Option C
D
3 times 3 times 3 times 3 times 3 times 3
Option D
13

What is the prime factorization of 40?

A
2 times 5
Option A
B
2 times 20
Option B
C
2 times 2 times 2 times 5
Option C
D
2 times 2 times 4 times 5
Option D
14

If , what is the value of x?

Question illustration
A
Negative 243
Option A
B
Negative StartFraction 1 Over 243 EndFraction
Option B
C
StartFraction 1 Over 243 EndFraction
Option C
D
243
15

What is the value of ?

Question illustration
A
Negative StartFraction 256 Over 81 EndFraction
Option A
B
Negative StartFraction 81 Over 256 EndFraction
Option B
C
StartFraction 81 Over 256 EndFraction
Option C
D
StartFraction 256 Over 81 EndFraction
Option D
16

Micah found the least common multiple of 8 and 12. His work is shown below. Multiples of 8: 8, 12, 16, 20, 24, 28, . . .Multiples of 12: 12, 24, 36, 48, 60, . . .The least common multiple is 12.What is Micah’s error?

A
Micah listed some values that were not multiples.
B
Micah listed factors of each number instead of multiples.
C
Micah should have multiplied 8 and 12 to find the least common multiple.
D
Micah selected a multiple that is not the least of the common multiples.
17

Based on the pattern in the table, what is the value of a?Powers of 2Valuea

Question illustration
A
Negative 64
Option A
B
Negative 12
Option B
C
StartFraction 1 Over 16 EndFraction
Option C
D
StartFraction 1 Over 64 EndFraction
Option D
19

Which statement describes what these four powers have in common?

Question illustration
A
All the powers have a value of 0 because the exponent is zero.
B
All the powers have a value of 1 because the exponent is zero.
C
All the powers have a value of –1 because the exponent is zero.
D
All the powers have a fractional value because the exponent is zero.
20

Which list shows all the factors of 18?

A
1, 2, 3, 4, 6, 9, 18
B
1, 2, 3, 6, 9, 18
C
2, 3, 4, 6, 9
D
2, 3, 6, 9

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