Question

1. identify the expression that is not equivalent to 8y + 16.

a. 8(y + 2y)
b. 8(y + 2)
c. 8y + 8(2)
d. 16 + 8y

Explanation:

Step1: Simplify Option A

Simplify \(8(y + 2y)\). First, combine like terms inside the parentheses: \(y+2y = 3y\). Then multiply by 8: \(8\times3y=24y\). The original expression is \(8y + 16\), which is not equal to \(24y\). But let's check other options to be sure.

Step2: Simplify Option B

Simplify \(8(y + 2)\). Use the distributive property: \(8\times y+8\times2 = 8y + 16\), which matches the original expression.

Step3: Simplify Option C

Simplify \(8y+8(2)\). Calculate \(8(2)=16\), so the expression becomes \(8y + 16\), which matches the original expression.

Step4: Simplify Option D

The expression is \(16 + 8y\), which is the same as \(8y + 16\) (addition is commutative), so it matches the original expression.

Answer:

A. \(8(y + 2y)\)