Question

write an expression that is equivalent to $-5 + 6a + 9 + (-3a)$. identify the constant terms and variable terms. constant terms: $-5$; variable terms: (to be filled); term: $6a$

Explanation:

Part 1: Equivalent Expression

Step1: Combine constant terms

Constant terms are \(-5\) and \(9\). So, \(-5 + 9 = 4\).

Step2: Combine variable terms

Variable terms are \(6a\) and \(-3a\). So, \(6a + (-3a)=3a\).

Step3: Combine results

Combine the results from step1 and step2: \(4 + 3a\) (or \(3a + 4\)).

Constant terms are terms without variables. In the expression \(-5 + 6a + 9 + (-3a)\), the constant terms are \(-5\) and \(9\) because they have no variable (like \(a\)) attached.

Variable terms are terms with variables. In the expression \(-5 + 6a + 9 + (-3a)\), the variable terms are \(6a\) and \(-3a\) because they have the variable \(a\) attached.

Answer:

\(3a + 4\) (or \(4 + 3a\))

Part 2: Identify Constant and Variable Terms

Constant Terms: