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Exponents and Distributive Property Quiz

Authored by Melissa Aronow

Mathematics

8th Grade

CCSS covered

Used 7+ times

Exponents and Distributive Property Quiz
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30 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

0

1

5

Undefined

Tags

CCSS.HSF-IF.C.8B

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Answer explanation

The expression x^{-3} can be simplified using the property of exponents that states a^{-n} = \frac{1}{a^n}. Therefore, x^{-3} simplifies to \frac{1}{x^3}, which is the correct answer.

Tags

CCSS.HSA.APR.A.1

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Answer explanation

To multiply powers with the same base, add the exponents: \(2^3 \times 2^4 = 2^{3+4} = 2^7\). Thus, the correct answer is \(2^7\).

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Answer explanation

To simplify 3(x^2 + 4), apply the distributive property: 3 * x^2 + 3 * 4 = 3x^2 + 12. Thus, the correct answer is 3x^2 + 12.

Tags

CCSS.6.EE.A.3

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

0

1

Undefined

Answer explanation

Any non-zero number raised to the power of 0 equals 1. Here, (x^2)^0 simplifies to 1, regardless of the value of x, as long as x is not zero.

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Answer explanation

To simplify \(4^{-2}\), use the property \(a^{-n} = \frac{1}{a^n}\). Thus, \(4^{-2} = \frac{1}{4^2} = \frac{1}{16}\). The correct answer is \(\frac{1}{16}\).

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Answer explanation

To simplify the expression a^3 × a^{-5}, use the property a^m × a^n = a^{m+n}. Here, 3 + (-5) = -2, so the result is a^{-2}, which matches the correct answer.

Tags

CCSS.HSA.APR.A.1

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