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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset Vaia Explanations$ Math

2nd Edition · 1240 pages

ISBN: 9780998625713

Chapter 1: Q. 1269 (page 200)

In the following exercises, simplify using the Distributive Property.
$\frac{1}{3} (15 n - 6)$ .

Short Answer

Expert verified

The answer is $5 n - 2$ .

Step by step solution

01

Step 1. Given Information.

The expression is $\frac{1}{3} (15 n - 6)$ .

Apply distributive property.

02

Step 2. Explanation.

Distributive property is use to remove parentheses to simplify expressions.

The distributive property is $a (b + c) = a b + a c$ .

role="math" localid="1647948089392" $\frac{1}{3} (15 n - 6) = \frac{1}{3} \times 15 n - \frac{1}{3} \times 6 = 5 n - 2$

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Most popular questions from this chapter

Eric has rock and classical CDs in his car. The number of rock CDs is 3 more than the number of classical CDs. Let c represent the number of classical CDs. Write an expression for the number of rock CDs.

Determine if each is an expression or an equation:

$(a) 3 (x - 7) = 27 (b) 5 (4 y - 2) - 7$

In the following exercise, simplify the expression: $11 - 3 [7 - 4 (- 2)]$

The length of a rectangle is 7 less than the width. Let w represent the width of the rectangle. Write an expression for the length of the rectangle.

Translation from Algebra to English.

$(4) (8)$

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