Question

4-3 hw - simplifying algebraic expressions
directions: write each expression in simplest form. use only one sign between terms.

1. $3x + 2x$
2. $6x - 3x + 3$
3. $2a - 5a$
4. $3a + 2a - 6$
5. $6x + 2x - 3$
6. $5a - 3 + 2a$

Explanation:

Problem 1: \( 3x + 2x \)

Step1: Identify like terms

Both \( 3x \) and \( 2x \) are like terms (same variable \( x \) with exponent 1).

Step2: Combine like terms

Add the coefficients: \( 3 + 2 = 5 \), so \( 3x + 2x = 5x \).

Step1: Combine like terms (\( 6x \) and \( -3x \))

Subtract coefficients: \( 6 - 3 = 3 \), so \( 6x - 3x = 3x \).

Step2: Write simplified form

The expression becomes \( 3x + 3 \).

Step1: Identify like terms

\( 2a \) and \( -5a \) are like terms (same variable \( a \)).

Step2: Combine like terms

Subtract coefficients: \( 2 - 5 = -3 \), so \( 2a - 5a = -3a \).

Answer:

\( 5x \)

Problem 2: \( 6x - 3x + 3 \)