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Combining Like Terms and the Distributive Property

 Expression: variables and numbers combined with various operation symbols  Term: one piece of an expression (terms are separated by + or -)  LIKE Terms: terms that have the exact same variable and exponent  Coefficient: The number in front of the variable.

 Add or subtract their coefficients.  EX: ◦ 1. 4x – 7x + 4 ◦ 2. 4 – x + 4x – 8 ◦ 3. 9x + 7 – 2 – 4x ◦ 4. 52x – 52x – 63.5 – 63.5

 Used when a term is multiplied to a sum or difference in parentheses.  To simplify: multiply each item inside the parentheses by the term on the outside.  EX:  1. 2(-y + 5)  2. 5(x – y + 5)  3. -(x + 4y)  4. ½ (4x – 8y + 10)

 1. 7 – (2y – 9)  2. -(x – 5) – 3x + 4  3. 4(m + 3) – 4m – 12  4. 3(n – 2) – 2(n + 4) - 6

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