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4.2a – Solving Equations Variable on one side Definitions of the Day (DODs) • Inverse Operation • Variable • Expression • Equation Definition: Inverse Operations – Operations that undo each other. Operation + − × ÷ Inverse Operation − + ÷ × Definition: Variable – A letter or symbol used to represent a number. Definition: Expression – A phrase in math that uses numbers, variables and operations. Definition: Equation – A statement where two expressions are set equal to each other. Three Simple Steps to Equation Solving Success 1. 2. (leave blank…not needed today) (leave blank…not needed today) 3. Using inverse operations, move the variable to one side of the “=” and everything else to the other side. SOLVE EACH EQUATION a) 5 x 2 23 b) 15 25 4 x Introducing “Fraction Busters” A simple way to “deal” with fractions in equations. Wanna think? Then multiply EVERY term in the equation by the least common denominator of the fractions Don’t Wanna think? Then multiply EVERY term in the equation by the product of all denominators of the fractions SOLVE EACH EQUATION a) 2 1 x 23 3 5 b) 100 9 2 x 7 21 Your Turn!! 1. Solve: a) 45 2 x 95 1 7 b) 12 x 3 2 Sentence Frames 1. A variable is a … ____________________________________________ ____________________________________________ 2. Inverse operations are operations that … __________ ___________________________________________