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
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?
$18 x+8 y$
$9 x+y+8$
Solution
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.
Step 1: Combine Like Terms
We start with the expression 3x+15+6x−7+y. To simplify, we first combine the like terms involving x and the constant terms.
Step 2: Simplify the Expression
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