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3.4 Simplifying Algebraic Expressions Including D-Prop Day 2 CCSS 6.NS.4, 6.EE.2b, 6.EE.3,6.EE.4 Use D-Prop to express a sum of 2 whole numbers with common factors as a sum of two whole numbers with no common factors. Apply properties of expressions to generate equivalent expressions. Identify when two expressions are equivalent. Day 2 Distributive Property The Distributive Property • Distribute: to spread out, to share Think of mail. The postal worker must distribute all letters to the houses. One person, many houses: One number to all numbers in the parentheses! The Distributive Property • Multiply the outside value with the quantity in the parentheses. • Examples: 3(4 + 8) = 3(4) + 3(8) 3(12)= 12 + 24 36 = 36 • Algebraically: a(b + c) = ab + ac a(b – c ) = ab – ac Day 2 Simplifying Expressions • You will use like terms and the Distributive Property to simplify expressions. • Like terms will have the same variable raised to the same power. Constant terms are considered like terms. Like Terms : Terms that have the same variable(s) raised to the same power. Constant terms are always like terms. Example 1: More Variables • To combine like terms, 1)Identify like terms (circle or box them), if any. 2)Add or subtract the like terms Remember Like Terms have same variable, same power! Example 2: Distributive Property • 1) 2) 3) To simplify: Do the Distributive Property Identify like terms, if any Add or subtract like terms Practice • 1) Simplify 7z + 6 + z • 2) Simplify 6(5 + n) – 2n PRACTICE Simplify by combining like terms 3) x + 11 + 12x + 2 + x 4) 10(h + f + 5) + 2h