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Solve the following equations: 1) x 4 5 2-2: Solving Two-Step Equations 2) 3x 9 4 4 3 3) 3x 4 5 4 4 3x 9 3 3 3 Algebra 1 x3 x9 Solving Two-Step Equations To solve 3x 4 5 , more than one operation is required. 1. _________ ISOLATE the variable and its ______________ COEFFICIENT • Use the ADDITION ___________ or _________________ SUBTRACTION Property of Equality. 2. • Make the coefficient of the variable _______ ONE MULTIPLICATION Use the _______________________or _______________ DIVISION Property of Equality. x3 Solve the following equations: 1) 2 x 3 5 2) 2 x 4 8 4 4 2 x 4 3 3 2x 8 2 2 2 3) 3x 1 2 1 1 3x 3 3 3 2 x 2 x4 x 1 Summary: SUBTRACT FIRST! ADD STEP 1 :__________ or _____________ STEP 2: ____________ SECOND! MULTIPLY or _____________ DIVIDE Using an Equation as a Model The fare for a taxicab is $5 per trip plus $0.50 per mile. The fare for the trip from the airport to the convention center was $11.50. Write and solve an equation to find how many miles the trip is from the airport to the convention center. Let m = # of miles Complete Got It? #2 p. 96 5 .50m 11.50 5 5 .50m 6.50 .50 .50 m 13 miles 56 ads Solving with Two Denominators What is the solution of Clear Fractions (multiply everything by the LCD of the denominator) 3𝑥−4 4 = 5? 3x 4 5 4 3x 4 4 5 4 Simplify 3x 4 20 4 4 3x 24 Divide both sides by 3 3 Simplify Add 4 to both sides Simplify 3 x 8 1 Solve the following equation and justify your steps: Solving Equations Deductive ___________ Reasoning can be used ____________ State your __________ and justify them using Steps ___________, Properties ____________ Definitions or ________ Rules Steps 10 2 x 20 10 -10 2x 10 = 2 2 x5 Reasons Subtraction Property of Equality Simplify 1) 6 4 x 18 -6 6 Subtraction Property of Equality 4 x 12 Simplify 4 -4 Division Property of Equality Simplify x 3 ____________ Division Property of Equality Simplify Homework: p.98 #13-21 odd, 25-39 odd, 45 2