/*! 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} Q44. Use the distributive property to... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Q44. (page 80)

Use the distributive property to write an equivalent variable expression.

鈥夆赌�4(a+2)

Short Answer

Expert verified

The equivalent variable expression is4a+8.

Step by step solution

01

Step-1 – Distributive property

For any real numbers a, b, and c, the distributive property is given by:

a(b+c)=a鈰�b+a鈰�c

02

Step-2 – Example of distributive property

To evaluate the expression3(4+t), distribute 3 to both the terms inside the parenthesis and remove the parenthesis sign to get

3(4+t)=3鈰�4+3鈰�t=12+3t

03

Step-3 – Rewrite the given expression using distributive property

To write an equivalent variable expression for the given expression 4(a+2), distribute 4 to both the terms inside the parenthesis and simplify further by multiplying the numbers as shown below.

4(a+2)=4鈰�a+4鈰�2=4a+8.

Thus, the equivalent variable expression for the given expression is4a+8.

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

Perform the indicated operation. (pp. 750鈥�752)

8.23鈥�鈥�-鈥�鈥�4.97

What property is illustrated by the statement: 3(4-9)=鈥�鈥�3(4)鈥�鈥�-鈥�鈥�3(9)?

What are terms that have a number but no variable called?

Evaluate the expression using the distributive property and mental math.

8鈥�鈥�(3.1)

Evaluate the expression using the distributive property and mental math.

(鈥�鈥�211鈥�鈥�)鈥�鈥�(-鈥�3)
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Statistics

Read Explanation

Decision Maths

Read Explanation

Discrete Mathematics

Read Explanation

Mechanics Maths

Read Explanation

Theoretical and Mathematical Physics

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.