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Warm Up Solve for the variable. 1) m + 10 = 7 2) 18 + j = 54 3) t - 11 = 46 4) x - (-24) = -37 5) The sum of two integers is -42. One integer is 12. Find the other integer. 2.3 Solving One Step Linear Equations Using Multiplication or Division 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. 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 1. 2. 3. 4. 1) Solve -5t = 60 -5 -5 Draw the line to t = -12 separate the equation into 2 sides Divide both sides by -5 Simplify Check your answer -5(-12) = 60 1. 2. 3. 4. 2) Solve 24 = 6n 6 6 Draw the line Divide both sides by 6 4=n Simplify Check your answer 24 = 6(4) 3) Solve -3v = -129 1. 2. 3. 4. v = -126 v = -43 v = 43 v = 126 Answer Now x 12 4) Solve 4 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. 1. 2. 3. 4. x 4) Solve 12 4 Draw the line x Clear the fraction – 4 · 12 · 4 multiply both sides by 4 4 Simplify Check your answer x = -48 48 12 4 2x 5) Solve = 18 3 1. 2. Draw the line Get rid of the fraction – multiply both sides by the reciprocal 2x 5 9 4x 4 20 Try It Out 3x 5 11 10x 4 34 4x 8 20 2 (5 x) 13 Examples x 5 3 3 x7 10 3 y 15 4 a 5 9 6 5 7 g 14 63 5n 6 4 c t 5 7 6 12 3 8 r 1 8 3 5m 11 2 a 3 2 7 11 7 3c d 6 14 2 17 s 10 4 Homework: Finish In class Assignment