AnswersFL-1205070-MJ Grade 8 Pre-Algebra Summer 2026Unit Test

Exploring the Pythagorean Theorem Answers

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1
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Which is the value of this expression when and ?

Question illustration
A
StartFraction 1 Over 75 EndFraction
Option A
B
StartFraction 9 Over 25 EndFraction
Option B
C
StartFraction 25 Over 9 EndFraction
Option C
D
75
2
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An inground swimming pool contains units of water. Which unit of measure was used?

Question illustration
A
teaspoons
B
cubic centimeters
C
fluid ounces
D
gallons
3

Which number is greatest?

A
6.23 times 10 Superscript 12
Option A
B
6.23 times 10 Superscript 8
Option B
C
6.23 times 10 Superscript negative 6
Option C
D
6.23 times 10 Superscript 3
Option D
4

Which is the simplified form of ?

Question illustration
A
9 c Superscript 27
Option A
B
StartFraction 1 Over 729 EndFraction c Superscript 27
Option B
C
729 c Superscript 27
Option C
D
StartFraction 9 Over c Superscript 27 Baseline EndFraction
Option D
5

A jet flies at a rate of feet per hour. Written in scientific notation, which is the best estimate of how many feet the jet will travel in hours?

Question illustration
A
feet
Option A
B
feet
Option B
C
feet
Option C
D
feet
Option D
6

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
7

Nadine and Calvin are simplifying the expression .Nadine claims the first step to simplify the expression is to raise the numerator and denominator to the power of 4 to get .Calvin claims the first step to simplify the expression is to apply the quotient of powers to get .Who is correct and why?

Question illustration
A
Nadine is incorrect because she should have applied the quotient of powers rule first.
B
Nadine is correct because she correctly applied the power of a product rule.
C
Calvin is incorrect because he should have applied the power of a product rule first.
D
Calvin is correct because he correctly applied the quotient of powers rule.
8

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

Question illustration
Answer not available
9

What is the base of the expression ?

Question illustration
A
3
B
11
C
12
D
21
10

Hector is rewriting the expression in expanded form. How many terms will be multiplied in his rewritten expression?

Question illustration
A
2
B
7
C
11
D
12
11

What is the value of ?

Question illustration
A
StartFraction 3 Over 1000 EndFraction
Option A
B
StartFraction 27 Over 1000 EndFraction
Option B
C
StartFraction 9 Over 10 EndFraction
Option C
D
StartFraction 27 Over 10 EndFraction
Option D
12

A cell phone weighs about pounds. Which value of n is most reasonable?

Question illustration
A
Negative 3
Option A
B
Negative 1
Option B
C
0
D
1
13

What is in scientific notation?

Question illustration
A
5.291 times 10 Superscript negative 64
Option A
B
5.291 times 10 Superscript negative 4
Option B
C
5.291 times 10 Superscript 12
Option C
D
5.291 times 10 Superscript 20
Option D
14

Which applies the power of a power rule to simplify the expression ?

Question illustration
A
(8 Superscript 12 Baseline) cubed = 8 Superscript 12 + 3 Baseline = 8 Superscript 15
Option A
B
(8 Superscript 12 Baseline) cubed = 8 Superscript 12 times 3 Baseline = 8 Superscript 36
Option B
C
(8 Superscript 12 Baseline) cubed = 8 Superscript 12 divided by 3 Baseline = 8 Superscript 4
Option C
D
(8 Superscript 12 Baseline) cubed = 8 Superscript 12 minus 3 Baseline = 8 Superscript 9
Option D
15

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
16

Which rules of exponents will be used to evaluate this expression? Select three options.

Question illustration
A
fractional exponent
B
quotient of powers
C
power of a power
D
power of a product
E
negative exponent
F
zero exponent
17

What is the quotient?

Question illustration
A
Negative 343
Option A
B
Negative 7
Option B
C
7
D
343
18

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
19

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
20

A human hair was measured to have a diameter of inches. The width of a piece of paper was measured to be inches thick. In scientific notation, how much thicker is the piece of paper than the hair?

Question illustration
A
inches
Option A
B
inches
Option B
C
inches
Option C
D
inches
Option D

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