Answers FL-1205070-MJ Grade 8 Pre-Algebra Summer 2026Unit Test

Exploring the Pythagorean Theorem Answers

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Which is the value of this expression when and ?

StartFraction 1 Over 75 EndFraction

StartFraction 9 Over 25 EndFraction

StartFraction 25 Over 9 EndFraction

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An inground swimming pool contains units of water. Which unit of measure was used?

teaspoons

cubic centimeters

fluid ounces

gallons

Which number is greatest?

6.23 times 10 Superscript 12

6.23 times 10 Superscript 8

6.23 times 10 Superscript negative 6

6.23 times 10 Superscript 3

Which is the simplified form of ?

9 c Superscript 27

StartFraction 1 Over 729 EndFraction c Superscript 27

729 c Superscript 27

StartFraction 9 Over c Superscript 27 Baseline EndFraction

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?

feet

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?

9 inches

27 inches

2,187 inches

59,049 inches

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?

Nadine is incorrect because she should have applied the quotient of powers rule first.

Nadine is correct because she correctly applied the power of a product rule.

Calvin is incorrect because he should have applied the power of a product rule first.

Calvin is correct because he correctly applied the quotient of powers rule.

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

Answer not available

What is the base of the expression ?

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

What is the value of ?

StartFraction 3 Over 1000 EndFraction

StartFraction 27 Over 1000 EndFraction

StartFraction 9 Over 10 EndFraction

StartFraction 27 Over 10 EndFraction

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

Negative 3

Negative 1

What is in scientific notation?

5.291 times 10 Superscript negative 64

5.291 times 10 Superscript negative 4

5.291 times 10 Superscript 12

5.291 times 10 Superscript 20

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

(8 Superscript 12 Baseline) cubed = 8 Superscript 12 + 3 Baseline = 8 Superscript 15

(8 Superscript 12 Baseline) cubed = 8 Superscript 12 times 3 Baseline = 8 Superscript 36

(8 Superscript 12 Baseline) cubed = 8 Superscript 12 divided by 3 Baseline = 8 Superscript 4

(8 Superscript 12 Baseline) cubed = 8 Superscript 12 minus 3 Baseline = 8 Superscript 9

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?

The diameter of the bacterium is 10 times greater than that of the virus.

The diameter of the bacterium is times as great as that of the virus.

The diameter of the virus is 10 times greater than that of the bacterium.

The diameter of the virus is times as great as that of the bacterium.

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

fractional exponent

quotient of powers

power of a power

power of a product

negative exponent

zero exponent

What is the quotient?

Negative 343

Negative 7

343

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

Negative 11

negative 7

Which answer shows 0.00897 written in scientific notation?

0.897 times 10 Superscript negative 2

8.97 times 10 Superscript negative 3

8.97 times 10 Superscript negative 2

8.97 times 10 Superscript 3

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?