Question

a) which terms are like terms in the expression $5x + 9 + (-7x)$? choose all that apply. $5x$ $-7x$ write an equivalent expression by combining the like terms. $5x + 9 + (-7x) = \square x + 9$

Explanation:

Step1: Identify like terms and combine

Like terms are \(5x\) and \(-7x\). To combine them, we add their coefficients: \(5 + (-7)\).
\(5+(-7)=5 - 7=-2\)

Step2: Form the equivalent expression

Substitute the combined coefficient back with the variable \(x\) and keep the constant term \(9\). So the expression becomes \(-2x + 9\).

Answer:

• The like terms are \(5x\) and \(-7x\).
• The equivalent expression is \(5x + 9+(-7x)=\boxed{-2}x + 9\)