What is the simplified expression of the following algebraic expression? (Select all that apply)
3x-6y-8+4y-3x

Let's simplify the given algebraic expression step by step:

The given expression is:
\[ 3x - 6y - 8 + 4y - 3x \]

1. **Combine like terms:**
   - Combine the \(x\) terms: \(3x - 3x = 0\)
   - Combine the \(y\) terms: \(-6y + 4y = -2y\)

2. **Rewrite the expression:**
   - After combining like terms, the expression simplifies to: \(-2y - 8\)

So, the simplified expression is:
\[
-2y - 8
\]

If there are multiple-choice options, select the one that matches this expression.

Would you like to explore this further or need any clarification? Here are some related questions:

1. How do you identify like terms in an algebraic expression?
2. What is the importance of simplifying algebraic expressions?
3. How do you factor out a common factor in an algebraic expression?
4. What are the steps to expand and simplify algebraic expressions?
5. Can you apply this simplification process to a quadratic expression?

**Tip:** Always group and simplify like terms first when working with algebraic expressions.

Learn how to simplify the algebraic expression 3x - 6y - 8 + 4y - 3x step-by-step. This problem involves combining like terms in algebra, specifically handling variables x and y. Suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation