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4.2c – Solving Equations Distributing and Combining Like Terms Definitions of the Day (DODs) • Distributive Property • Like terms Definition: Distributive Property – For all real numbers a, b, and c Distributive Property a b c ab ac b c a ba ca a b c ab ac b c a ba ca Attention!!! Only distribute multiplication over addition and subtraction. Definition: Like Terms – Terms that have: 1) The same variables…. and 2) The variables have the same exponents. Three Simple Steps to Equation Solving Success 1. Distribute and combine like terms. 2. Decide: variable on the left (of “=”) or variable on the right (there is no one right answer…just decide!!) 3. Using inverse operations, move the variable to one side of the “=” and everything else to the other side. SOLVE EACH EQUATION a) 5 4 x 9 2 10 x 8 SOLVE EACH EQUATION b) 15x 7 x 9 12 3x 12 92 Your Turn!! 1. Solve: a) b) 4 x 3 10 x 8 44 2 3x 1 2 3x 1 4 10 3x Sentence Frames 1. Like terms are terms with … ____________________________________________ ____________________________________________ ____________________________________________ 2. The distributive property distributes ______________ over ______________ and ___________________