AnswersSRC 2022 MJ Grade 8 Pre-Algebra Q1Dilations

Dilations — Unit test Answers

25 verified answers
1
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Eli claims that the product of and is . Which explains whether Eli is correct?

Question illustration
A
Eli is correct. He added to find the exponent of 2.
Option A
B
Eli is incorrect. He added the exponents instead of subtracting them.
C
Eli is incorrect. He subtracted the exponents instead of adding them.
D
Eli is incorrect. He added the exponents even though the bases are not the same.
2
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What is the value of n in the equation below?

Question illustration
A
3
B
6
C
12
D
27
3

What is the value of y in the product of powers below?

Question illustration
Answer not available
4

Which equation finds the volume of a cube with a side length of units?

Question illustration
A
cubic units
Option A
B
cubic units
Option B
C
cubic units
Option C
D
cubic units
Option D
5

Dahlia is simplifying using these steps:Although Dahlia is correct so far, which step could she have used instead to simplify the expression ?

Question illustration
A
(3 t) Superscript 4 = 3 t Superscript 4
Option A
B
3 Superscript 4 Baseline t = 81 t
Option B
C
4 (3 t) = 12 t
Option C
D
3 Superscript 4 Baseline t Superscript 4 Baseline = 81 t Superscript 4
Option D
6

The simplified form of an expression is . Which expression was simplified?

Question illustration
A
(256 t Superscript negative 7 Baseline) Superscript 4
Option A
B
(4 t Superscript 28 Baseline) Superscript negative 4
Option B
C
(256 t Superscript negative 7 Baseline) Superscript negative 4
Option C
D
(4 t Superscript negative 7 Baseline) Superscript negative 4
Option D
7

A scientist looks at a bacterium and a virus in a lab. The bacterium has a diameter of meters. The virus has a diameter of meters. Which statement accurately compares the sizes of the specimens?

Question illustration
A
The diameter of the bacterium is 10 times greater than that of the virus.
B
The diameter of the bacterium is times as great as that of the virus.
Option B
C
The diameter of the virus is 10 times greater than that of the bacterium.
D
The diameter of the virus is times as great as that of the bacterium.
Option D
8

Which expression is equivalent to ?

Question illustration
A
(7 times 5) (7 times 2)
Option A
B
(7 times 7 times 7 times 7 times 7) (7 times 7)
Option B
C
StartFraction 7 times 5 Over 7 times 2 EndFraction
Option C
D
StartFraction 7 times 7 times 7 times 7 times 7 Over 7 times 7 EndFraction
Option D
9

What is the value of n in the equation below?

Question illustration
A
Negative 20
Option A
B
Negative 9
Option B
C
9
D
20
10

Pablo simplified the expression as shown. Which statement explains Pablo’s error?

Question illustration
A
He should have added the exponents instead of multiplying them.
B
He should have divided the exponents instead of multiplying them.
C
He should have found 8 as the exponent, not –8.
D
He should have written as .
Option D
11

What is the quotient?

Question illustration
A
Negative 9
Option A
B
StartFraction 1 Over 9 EndFraction
Option B
C
StartFraction 1 Over 9 EndFraction
Option C
D
9
12

There are bytes in a gigabyte. There are bytes in a megabyte. How many times greater is the storage capacity of a 1-gigabyte flash drive than a 1-megabyte flash drive?

Question illustration
A
3 times greater
B
10 times greater
C
1,000 times greater
D
3,000 times greater
13

What is the value of x in the product of powers below?

Question illustration
A
Negative 11
Option A
B
negative 7
Option B
C
7
D
11
14

What is the value of k in the product of powers below?

Question illustration
A
Negative 3
Option A
B
Negative 1
Option B
C
0
D
1
15

Which expression is equivalent to ?

Question illustration
A
q cubed
Option A
B
q Superscript 8
Option B
C
q Superscript 12
Option C
D
q Superscript 36
Option D
16

Karim builds a wooden table. in.The rectangular top of his table has an area of square inches and a length of inches. What is the width of the table top?

Question illustration
A
9 inches
B
27 inches
C
2,187 inches
D
59,049 inches
17

The table below shows metric units of mass, with the relationship of each unit to 1 gram represented as a power of 10.Metric Units of MassUnitsPower of 10MicrogramMilligramCentigramGramKilogramWhich statement comparing these measures is true?

Question illustration
A
A microgram is 1,000 times greater than a milligram.
B
A milligram is 10 times greater than a centigram.
C
A centigram is 100 times greater than a microgram.
D
A kilogram is 100,000 times greater than a centigram.
18

Maureen plants tulips in a rectangular flower bed that is feet wide and feet long. What is the area of the flower bed?

Question illustration
A
48 square feet
B
128 square feet
C
4,096 square feet
D
16,384 square feet
19

Which expression can be simplified as ?

Question illustration
A
(n squared) Superscript 9
Option A
B
(n Superscript negative 9 Baseline) Superscript negative 2
Option B
C
(n Superscript negative 6 Baseline) Superscript negative 3
Option C
D
(n Superscript negative 3) Superscript 6
Option D
20

Which expressions are equivalent to ? Check all that apply.

Question illustration
A
2 Superscript 9
Option A
B
2 Superscript 20
Option B
C
2 times 2 Superscript 9
Option C
D
2 Superscript 10 times 2 squared
Option D
E
2 Superscript negative 2 Baseline times 2 Superscript 11
Option E
F
(2 times 2 times 2 times 2 times 2) times (2 times 2 times 2 times 2)
Option F

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