7.2 Simplifying Expressions

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Presentation transcript:

7.2 Simplifying Expressions Objective: Students will demonstrate they know the parts of an expression and how to combine like terms.

Definitions Parts of Expression Term: parts of an expression. Coefficient: number in front of variable. Constant term: term with no variable Like terms: terms with same variable parts.

Identifying Parts Given the expression. 5x + 4x + 7 Identify the terms, coefficients, like terms, and constant terms. 5x + 4x + 7 Constant Term = 7 Like Terms 5x, 4x Terms: 5x, 4x, 7 Coefficients 5, 4

Teacher Examples For the following, Identify the terms, like terms, constant terms, and coefficients. 6x2 + 5x – 4x + 7

Identify the terms, like terms, coefficients, and constants 14x + 7 + 2x 5y + 23 – y – 6

Simplifying Expressions Note: to simplify combine like terms! Ex: 6x + 5x – 7 + 8 5x + 2x 41c2 – 4c2 + 2c2 8b – 9b

Student Examples 2c + 2 – (c + 2) 11y – 3(6 – y) 9n - (6n – 6) 5(d + 3) + 7d 2c + 2 – (c + 2) 9n - (6n – 6)

Finding Perimeters Perimeters: add all sides 8x 3x + 4

Student Examples Find the perimeter. 7x + 3 4x 8x - 2

Wrap-up Questions/Comments Hw: worksheet

Do the following 3x – 4x + 5 – 7 Terms: Like Terms: Constants: With the expression below state the following: Like terms, constants, terms, coefficients, and simplify. 3x – 4x + 5 – 7 Terms: Like Terms: Constants: Coefficients: Simplified: