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Combining Like-Terms Objective: SWBAT simplify expressions by combining like-terms. Vocabulary Expressions an algebraic statement that contains numbers, variables, and operation symbols - NO equal sign Combine means to add or subtract two or more terms Coefficient the number in front of a variable Variable a letter in an algebraic expression that represents some unknown value Terms “clusters of numbers/variables” separated by addition “+” and subtraction “–” symbols. Constant a term that has no variable Like–Terms terms with the same variable, raised to the same exponent To combine like-terms you add or subtract the coefficients only. Example: 5x + 6y + x – 2y + 3x – 4x + y 5x + x + 3x – 4x + 6y – 2y + y 5x + 5y Practice Problems Simplify the following expressions. 1. 6x – 5x + x + 7 + 2x – 2 6x – 5x + x + 2x +7 – 2 4x + 5 2. 5m + 3n + 5m – n – m 5m + 5m – m + 3n – n 9m + 2n 3. 4a2 + 3a – 3 + 5a2 – 3a2 4a2 + 5a2 – 3a2 + 3a -3 6a2 + 3a – 3 4. 3a3 + 4a2 – a3 – 2a2 + 3a2 3a3 – a3 4a2 – 2a2 + 3a2 2a3 + 5a2
