Algebra 1: Section 2-3

Solving Multi-Step EquationsAlgebra 1: Section 2-3Objectives:To use the Distributive Property when combining like terms.To use the Distributive Property when solving equations.Steps for solving multi-step equations:Clear the equations of fractions and decimalsUse the Distributive Property to remove parentheses on each sideCombine like terms on each sideUndo addition or subtractionUndo multiplication or divisionCombining Like Terms-2y + 5 + 5y = 14 3y + 5 = 14 - 5 - 5 3y = 9 3 3 y = 3Solving an Equation with Grouping Symbols:3(k + 8) = 213k + 24 = 21 - 24 - 243k = -33 3K = -1-3(x 1) + 9 = 15-3x + 3 + 9 = 15-3x + 12 = 15 - 12 - 12-3x = 3-3 -3 x = -1Solving an Equation that contains Decimals0.025x + 22.95 = 23.6525x + 22950 = 23650 - 22950 -2295025x = 70025 25 x = 28Move decimal three times to the right because the 0.025 has three decimal places and the others have two, so we move it the most times in the problems.Solve the problem like any other problem.Solve an equation that contains Fractions:2/3 x 5/8 x = 26(2/3 x)(24) (5/8 x)(24) = 26 (24)16x - 15x = 624 x = 624Find the common denominator for the entire equation and multiply each part by that number.Solve the equationCheck UnderstandingY + y + 2 = 185(y 3) = 19Assignment:Pg. 91: multiples of 3 #3-48, 54