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Published byMaurice Kennedy Modified over 7 years ago

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Combining Like Terms and the Distributive Property

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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.

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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

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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)

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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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