Simplifying Algebraic Expressions Lesson 4-2 Simplifying Algebraic Expressions

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

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

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

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

Simplifying Expressions Practice

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

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

Writing and Simplifying Algebraic Expressions

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.