Question

1. simplify each expression:

a. $9a - 2b + 7c - 2a$
b. $15d + 10 - d - 4$
c. $5x + 9 + x + 9$
d. $a + b + 2a + 2b + 5 - b$

Explanation:

Step1: Combine like terms (a terms)

$9a - 2a - 2b + 7c$

Step2: Simplify the a terms

$7a - 2b + 7c$

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Step1: Combine like terms (d terms)

$15d - d + 10 - 4$

Step2: Simplify d and constant terms

$14d + 6$

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Step1: Combine like terms (x terms)

$5x + x + 9 + 9$

Step2: Simplify x and constant terms

$6x + 18$

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Step1: Combine like terms (a terms first)

$a + 2a + b + 2b - b + 5$

Step2: Simplify a terms, then b terms

$3a + 2b + 5$

Answer:

a. $7a - 2b + 7c$
b. $14d + 6$
c. $6x + 18$
d. $3a + 2b + 5$