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

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

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Solution Steps

To simplify the expression 3x+15+6x7+y3x + 15 + 6x - 7 + y, we need to combine like terms. The like terms in this expression are the terms involving xx and the constant terms. Combine the coefficients of xx and the constant terms separately, and then write the simplified expression.

Step 1: Combine Like Terms

We start with the expression 3x+15+6x7+y3x + 15 + 6x - 7 + y. To simplify, we first combine the like terms involving xx and the constant terms.

Step 2: Simplify the Expression

The terms involving xx are 3x3x and 6x6x, which combine to give: 3x+6x=9x 3x + 6x = 9x The constant terms are 1515 and 7-7, which combine to give: 157=8 15 - 7 = 8 Thus, the expression simplifies to: 9x+y+8 9x + y + 8

Final Answer

The simplified expression is 9x+y+8\boxed{9x + y + 8}.

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