Pre-Algebra
Pre-Algebra
1st Edition
ISBN: 9780618800766
Author: Ron Larson, Lee Stiff, Laurie Boswell, Timothy Kanold
Publisher: Houghton Mifflin-High School
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Concept explainers

Percentage
A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.
Algebraic Expressions
In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.
Numbers
Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.
Subtraction
Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.
Addition
Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.
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Chapter 3.1, Problem 38E
To determine

To write: an equivalent variable expression of −9(2x+12) by using the distributive property.

Expert Solution & Answer
Check Mark

Answer to Problem 38E

The equivalent variable expression of −9(2x+12) is −18x−108 .

Explanation of Solution

Given information: Consider the question given to write an equivalent variable expression of the expression −9(2x+12) by using the distributive property.

Formula used: The formula used in the given question is a(b+c)=ab+ac .

Calculation :

Two different variable expressions that have the same value for all the values of the variables are called an equivalent variable expression.

Evaluate the given question:

  −9(2x+12)=−9(2x)+(−9)(12)           [Distributive property.]=−18x+(−108)                 [Multiply.]=−18x−108                       [Definition of substraction.]

Hence, the equivalent variable expression of −9(2x+12) is −18x−108 .

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Chapter 3.1, Problem 37E
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Chapter 3.1, Problem 39E

Chapter 3 Solutions

Pre-Algebra

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