Questions: Simplifying Expressions Quiz HS Pre Algebra - Semester 1 - CAD/PAV (Fall 2024) / Equations a 3. Which of the following shows 3x+15+6x-7+y in simplest terms? 18x+8y 9x+y+8

Solution Steps

To simplify the expression \(3x + 15 + 6x - 7 + y\), we need to combine like terms. The like terms in this expression are the terms involving \(x\) and the constant terms. Combine the coefficients of \(x\) and the constant terms separately, and then write the simplified expression.

We start with the expression \(3x + 15 + 6x - 7 + y\). To simplify, we first combine the like terms involving \(x\) and the constant terms.

The terms involving \(x\) are \(3x\) and \(6x\), which combine to give: \[ 3x + 6x = 9x \] The constant terms are \(15\) and \(-7\), which combine to give: \[ 15 - 7 = 8 \] Thus, the expression simplifies to: \[ 9x + y + 8 \]

Final Answer