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Warm Up Find the number to make the equation true 1) ___+ 9 = 14 2) ___+27= 35 3) ___-19 = 124) 11-___= 19 Simplify each expression 5) -2(3x-8)6) 8x – 4 – 8x – 9

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Review of Distributive Property & Combing Like Terms Simplify each expression

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Try It Out Simplify each expression

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2.2 Solving Equations Students solve multistep problems, including word problems, involving linear equations and linear inequalities in one variable and provide justification for each step. Standard 5.0: Students solve multistep problems, including word problems, involving linear equations and linear inequalities in one variable and provide justification for each step.

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Solving One-Step Equations You must get the variable by itself. You can *You must get the variable by itself. You can move numbers over by using the opposite operation. Examples: x + 5 = 7x – 4 = - 3x – (-3) = 10

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Try It Out! Solve the following equations. 1)x + 2 = 7 2) x - 6 = -3 3) x + (-3) = 2 4) x - 5 = -6

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2.3 Solving One Step Linear Equations Using Multiplication or Division Standard 5.0Students solve multistep problems, including word problems, involving linear equations and linear inequalities in one variable and provide justification for each step. Standard 5.0: Students solve multistep problems, including word problems, involving linear equations and linear inequalities in one variable and provide justification for each step.

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1) Solve. -5t = 60 To get the variable by itself, which number needs to be moved? -5 To move the -5, you have to do the opposite operation. What operation will we use? division

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1) Solve -5t = 60 -5 -5 t = -12 -5(-12) = 60 1.Draw the line to separate the equation into 2 sides 2.Divide both sides by -5 3.Simplify 4.Check your answer

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2) Solve 24 = 6n 6 6 4 = n 24 = 6(4) 1.Draw the line 2.Divide both sides by 6 3.Simplify 4.Check your answer

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3) Solve -3v = -129 1.v = -126 2.v = -43 3.v = 43 4.v = 126 Answer Now

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4) Solve You don’t like fractions? Let’s get rid of them! “You can get rid of fractions” by multiplying both sides of the equation by the denominator.

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4) Solve 4 · · 4 x = -48 1.Draw the line 2.Clear the fraction – multiply both sides by 4 3.Simplify 4.Check your answer

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1.Draw the line 2.Get rid of the fraction – multiply both sides by the reciprocal 5) Solve = 18

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Try It Out

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Examples

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Homework P. 81 #1-6, 10-11, 13-22 P. 88 #14-19, 28-33, 34-37 P.95 #1-5, 11-22

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