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Published byNatalie Marianna Haynes Modified over 6 years ago

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**Algebra 1 Notes Warm Up 1. If y = 16, y – 3.6 = ____ 3. = ____**

– (- 14) = ___ = ____ 12.4 14 16 – 3.6 59 14 GOAL USE THE DIST. PROP. TO EVALUATE/SIMPLIFY EXPRESSIONS; RECOGNIZE AND USE THE COMMUTATIVE AND ASSOCIATIVE PROP.; FIND SQUARE ROOTS; CLASSIFY AND ORDER REAL NUMBERS. KEY WORDS & PROPERTIES COEFFICIENT, EQUIVALENT EXPRESSIONS, IRRATIONAL NUMBERS, LIKE TERMS, PERFECT SQUARE, PRINCIPAL SQUARE ROOT, RADICAL SIGN, RATIONAL APPROXIMATION, REAL NUMBERS, SIMPLEST FORM, SQUARE ROOT, TERM,

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**Properties Commutative Associative Distributive Identity**

Order of the terms does not change your answer 3 + 5 = a + b = b + a 4 * 3 = 3 * 4 x * y = y * x Moving grouping symbols does not change your answer 3 + (5 + 7) = (3 + 5) (6 * 5) * 9 = 6 * (5 * 9) a + (b + c) = (a + b) + c a * (b * c) = (a * b) * c Multiply your outside term times all terms inside the parentheses a(b + c) = ab + ac (7 + 9) = 5(7) + 5(9) Of Addition: = x + 0 = x Of Multiplication: 5 * 1 = x * 1 = x

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Example 1 Use the Distributive Property to simplify the expressions. 3(2x + 6) 5(6m + 4n – 3n)

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Example 2 Use the distributive property to write this product in another way.

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**Simplify by collecting like terms.**

Example 3 Simplify by collecting like terms.

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Example 4 Simplify. 3.2(x + y) + 2.3(x + y) + 4x

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Example 5 Evaluate.

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