/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 32 Use a form of the distributive p... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 32

Use a form of the distributive property to rewrite each algebraic expression without parentheses. $$\frac{1}{4}(12+8 r)$$

Short Answer

Expert verified
The given algebraic expression without parentheses is \(3 + 2r\).

Step by step solution

01

Identify the terms inside the parentheses

In the algebraic expression \(\frac{1}{4}(12+8 r)\), the terms inside the parentheses are \(12\) and \(8r\). These are the terms we are going to distribute the \(\frac{1}{4}\) to.
02

Apply the distributive property

The distributive property states that \(a(b + c) = ab + ac\). Applying this to our algebraic expression we get: \(\frac{1}{4}(12) + \(\frac{1}{4}(8r)\).
03

Simplify the expression

The next step is to simplify the expression by performing the multiplication. This gives us \(3 + 2r\).

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Identify the terms in each algebraic expression. $$-9 a-4 b$$

Explain how to simplify a series of additions and subtractions. Provide an example with your explanation.

Simplify each algebraic expression. $$15-(-3 x)+8 x-(-10)$$

Simplify each algebraic expression. $$2 x-10 x$$

Identify the terms in each algebraic expression. $$8 a-7 a b-13$$
See all solutions

Recommended explanations on Math Textbooks

Discrete Mathematics

Read Explanation

Logic and Functions

Read Explanation

Geometry

Read Explanation

Decision Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Mechanics Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.