Question

1. which expression is equivalent to $a - 9a + 3$?

a. $a - 6$ b. $-11a$
c. $-8a + 3$ d. $-5a$

Explanation:

Step1: Combine like terms

The like terms in the expression \(a - 9a + 3\) are \(a\) and \(-9a\). To combine them, we use the rule of combining like terms: \(a - 9a=(1 - 9)a\).
Calculating \(1-9\) gives \(-8\), so \(a - 9a=-8a\).

Step2: Rewrite the expression

After combining the like terms, the expression \(a - 9a + 3\) becomes \(-8a + 3\).

Answer:

C. \(-8a + 3\)