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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset Vaia Explanations$ Math

2nd Edition · 1240 pages

ISBN: 9780998625713

Chapter 1: Q 159. (page 39)

In the following exercises, simplify the following expressions by combining like terms.
$10 a + 7 + 5 a - 2 + 7 a - 4$

Short Answer

Expert verified

The simplified expression is $22 a + 1$ .

Step by step solution

01

Step 1. Given information.

The given expression is:

$10 a + 7 + 5 a - 2 + 7 a - 4$

02

Step 2. Identify the like terms and rearrange the expression so the like terms are together.

$10 a + 7 + 5 a - 2 + 7 a - 4$

write like terms together,

$10 a + 5 a + 7 a + 7 - 2 - 4$

Now combine the like terms,

$22 a + 1$

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