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