Book edition Common Core Edition

Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

Pages 183 pages

ISBN 9780547587776

Answers without the blur.

Just sign up for free and you're in.

Short Answer

Simplify the expression. $- 7 (2 r + 3) + 11 r$

The simplified expression is $- 3 r - 21$

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step-1 – Apply the concept of terms and like terms

In an algebraic expression, terms are separated by plus or minus signs.

The term coefficient refers to the number in front of the variable in any term of the expression.

A constant term is the number which have no variable associated with it.

Like terms are the terms which have identical variable parts with same exponent on it. Constants are considered to be like terms as well.

Distributive property: $a (b + c) = a \cdot b + a \cdot c$

Step-2 – Use distributive property

To simplify the given expression $- 7 (2 r + 3) + 11 r$ , first use the distributive property to remove the parenthesis as follows

$\begin{matrix} - 7 (2 r + 3) + 11 r = - 7 \cdot (2 r) - 7 \cdot (3) + 11 r \\ = - 14 r - 21 + 11 r \end{matrix}$

Step-3 – Group and combine like terms

Now to simplify above expression further, group the like terms and combine them as shown below

$\begin{matrix} - 7 (2 r + 3) + 11 r = - 14 r - 21 + 11 r \\ = - 14 r + 11 r - 21 \\ = (- 14 + 11) r - 21 \\ = (- 3) r - 21 \\ = - 3 r - 21 \end{matrix}$

Thus, the simplified expression is $- 3 r - 21$

Find Study Materials for

Create Study Materials

Select your language

Pre-algebra

Answers without the blur.

Short Answer

Simplify the expression. $- 7 (2 r + 3) + 11 r$

Step by Step Solution

Step-1 – Apply the concept of terms and like terms

Step-2 – Use distributive property

Step-3 – Group and combine like terms

Most popular questions for Math Textbooks

Want to see more solutions like these?

Recommended explanations on Math Textbooks

Select your language

Pre-algebra

Answers without the blur.

Short Answer

Simplify the expression.−7(2r+3)+11r

Step by Step Solution

Step-1 – Apply the concept of terms and like terms

Step-2 – Use distributive property

Step-3 – Group and combine like terms

Most popular questions for Math Textbooks

Want to see more solutions like these?

Recommended explanations on Math Textbooks

Decision Maths

Calculus

Probability and Statistics

Statistics

Mechanics Maths

Geometry

Pure Maths

Simplify the expression. $- 7 (2 r + 3) + 11 r$