Book edition Common Core Edition

Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

Pages 183 pages

ISBN 9780547587776

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Short Answer

Are $2 (x + 1) and 2 x + 1$ equivalent variable expressions? Explain.

The two expressions are not same & they are not equivalent

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step-1 – What are real numbers?

Real numbers are simply the combination of Whole numbers, Integers, Rational and Irrational numbers in the number system.

Step-2 – Distributive Property of Multiplication

Suppose a, b, and c is three real numbers.

Distributive Property of Multiplication

Property: $a (b + c) = a \cdot b + a \cdot c$

Example: $12 (3 + 4) 12 = 12 \cdot 3 + 12 \cdot 4 = 36 + 48 = 84$

Step-3: Are 2(x+1) and 2x+1 equivalent variable expressions? Explain.

Using distributive property of multiplication

Property: $a (b + c) = a \cdot b + a \cdot c$

We can write by using distributive method of multiplication: $2 (x + 1)$ = $2 x + 2$

The second expression is $2 (x + 1)$

Since this two expressions are not same & they are not equivalent.

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Pre-algebra

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Short Answer

Are $2 (x + 1) and 2 x + 1$ equivalent variable expressions? Explain.

Step by Step Solution

Step-1 – What are real numbers?

Step-2 – Distributive Property of Multiplication

Step-3: Are 2(x+1) and 2x+1 equivalent variable expressions? Explain.

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Short Answer

Are 2(x+1) and 2x+1 equivalent variable expressions? Explain.

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Are $2 (x + 1) and 2 x + 1$ equivalent variable expressions? Explain.