Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 2: Q2. (page 73)

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

Short Answer

Expert verified

The two expressions are not same & they are not equivalent

Step by step solution

01

Step-1 – What are real numbers? 

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

02

Step-2 – Distributive Property of Multiplication 

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

Distributive Property of Multiplication

Property: a  (b  +  c  )  =  a  ·  b  + a  ·  c  

Example: 12 (3  +  4  )  12=  12  ·  3  +  12  ·  4  =  36  +  48  =  84

03

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

Using distributive property of multiplication

Property: a  (b  +  c  )  =  a  ·  b  + a  ·  c  

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

The second expression is 2x+1

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

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.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

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

Snowfall Utah Olympic Park, site of the 2002 Olympic Winter Games, gets an average of 295 inches of snow each year. Use estimation to predict the total snowfall in Utah Olympic Park over a 5 year period. Justify your answer using the distributive property and mental math.

Simplify the expression.

x+6+11

Use the distributive property to evaluate the expression.

(12-7) (- 4)

Use the distributive property to evaluate the expression.

( - 2n-3 )(-8)

Evaluate the expression using the distributive property and mental math.8  (7.02)
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Probability and Statistics

Read Explanation

Statistics

Read Explanation

Decision Maths

Read Explanation

Applied Mathematics

Read Explanation

Discrete Mathematics

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.

Sign-up for free