1. Simplifying Algebraic Expressions
Lesson 4-2
Simplifying Algebraic Expressions

2. Do Now
Identify the terms, like terms, coefficients, and constants. mn + 4m + 6n + 2mn
Simplify the expression. 3x + 4x + 5y + 6
Simplify the expression. 5a - 2 – 3a + 7

3. Parts of Algebraic Expressions
Term – each part of an algebraic expression separated by addition or subtraction signs
Example: 3x, 7, x, 2
Like terms – terms that contain the same variables
Example: 3x and x, 7 and 2
Coefficient – the numerical part of a term that contains a variable
Example: 3 and 1
Constant – a term without a variable
Example: 7 and 2

4. Simplifying Expressions with Parentheses
−4(3𝑚 + 2𝑛) – 5𝑚 + 𝑦 1 4 𝑚+2𝑛 − 1 3 (3𝑚−3𝑛)

5. Simplifying Expressions Practice
2 𝑥−𝑦 +3𝑥
1 3 6𝑎+3𝑏 − 1 2 (𝑎−2𝑏)

6. Simplifying Expressions Practice

7. Applying Algebraic Expressions
Write an expression in simplest form for the perimeter of the rectangle.

8. Applying Algebraic Expressions Practice
Write an expression in simplest form for the perimeter of each rectangle

9. Writing and Simplifying Algebraic Expressions

10. Writing and Simplifying Algebraic Expressions Practice
For each situation write an expression in simplest form that represents the total amount.
You used p minutes one month on your cell phone. The next month you used 75 fewer minutes.
Mateo has y pairs of shoes. His brother has 5 fewer pairs.