Making Equivalent Expressions By Combining Like Terms

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Presentation transcript:

Making Equivalent Expressions By Combining Like Terms

What are like terms? Like terms are terms that contain the same variables, and have the same powers or exponents. Examples: 2x, 3x, 6x 4y2, 9y2 7t, 12t, 6t A number with NO variable is called a constant.

Combining Like Terms 4x + 6y – x + 7y To combine like terms: Identify all terms with the same variables and/or exponents ALWAYS use the operation DIRECTLY in FRONT of the terms you are combining Add, subtract, multiply, or divide the coefficients The operation that is between the unlike terms is kept. 4x + 6y – x + 7y 3x + 13y

Combine like terms to create equivalent expressions: 7x + 5 – 3x + x3 6w2 + 15w + 8w2 – 11w 7x + 4 + 15 – 6x x3 + 3x3 + 2x2 + 6x2 + 4 x + 12x + 5 2x + 3x + 7 – x + 3 + 4y – 7 + x3

5t + 6y – 4t + 7y 9b2 - 7y – 4b2 + 8y x + y+ x + y + x + x + y + y + x 10t – 8h + 24t -6h 76w + 65y – 13w -42y

Determine If The Expressions Are Equivalent 1) y + y + y = 3y 2) 2 (3 – y) = 6 – 2y 3) 9v + 7v = 14v

Determine If The Expressions Are Equivalent 1) 2(3x + 2y) = 6x + 4y 2) t + t = 4t 3) 5x + 3x = 8x