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Holt Algebra 1 2-2 Solving Equations by Multiplying or Dividing 2-2 Solving Equations by Multiplying or Dividing Holt Algebra 1 Hand in HW – p 80 to front table Hand in HW – p 80 to front table 2-2 Notes, HW p 87 2-2 Notes, HW p 87 # 21-44, 101-104 # 21-44, 101-104

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Holt Algebra 1 2-2 Solving Equations by Multiplying or Dividing I will: Solve one-step equations in one variable by using multiplication or division. Objective

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Holt Algebra 1 2-2 Solving Equations by Multiplying or Dividing Solve = 5. Solving Equations Using Multiplication b –4 b = 5 –4 Multiply both sides by –4. b = –20 Check b –4 = 5 Substitute –20 for b. –20 –4 = 5 ? 5 = 5 ? 2-2 Solving Equations by Multiplying or Dividing Course 3 Think…. What type of problem is this and how do I undo it?

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Holt Algebra 1 2-2 Solving Equations by Multiplying or Dividing Solve = 5. Check It Out: Example 2 c –3 c = 5 –3 Multiply both sides by –3. c = –15 Check c –3 = 5 Substitute –15 for c. –15 –3 = 5 ? 5 = 5 ? 2-2 Solving Equations by Multiplying or Dividing Course 3

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Holt Algebra 1 2-2 Solving Equations by Multiplying or Dividing Solve the equation. Check your answer. Example 2A: Solving Equations by Using Division Since y is multiplied by 9, divide both sides by 9 to undo the multiplication. y = 12 108 To check your solution, substitute 12 for y in the original equation. 9y = 108 9(12) 108 Check 9y = 108

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Holt Algebra 1 2-2 Solving Equations by Multiplying or Dividing Solve the equation. Check your answer. Example 2B: Solving Equations by Using Division Since v is multiplied by –6, divide both sides by –6 to undo the multiplication. 0.8 = v –4.8 To check your solution, substitute 0.8 for v in the original equation. –4.8 = –6v –4.8 –6(0.8) Check –4.8 = –6v

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Holt Algebra 1 2-2 Solving Equations by Multiplying or Dividing Solve the equation. Check your answer. Check It Out! Example 2a Since c is multiplied by 4, divide both sides by 4 to undo the multiplication. 4 = c 16 To check your solution, substitute 4 for c in the original equation. 16 = 4c 16 4(4) Check 16 = 4c

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Holt Algebra 1 2-2 Solving Equations by Multiplying or Dividing Solve the equation. Check your answer. Check It Out! Example 2c Since k is multiplied by 15, divide both sides by 15 to undo the multiplication. k = 5 75 To check your solution, substitute 5 for k in the original equation. 15k = 75 15(5) 75 Check 15k = 75

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Holt Algebra 1 2-2 Solving Equations by Multiplying or Dividing Remember that dividing is the same as multiplying by the reciprocal. Instead of dividing by a fraction to get the variable alone, you multiply both sides by the reciprocal.

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Holt Algebra 1 2-2 Solving Equations by Multiplying or Dividing What is the reciprocal of: 5/6 2 -9/8

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Holt Algebra 1 2-2 Solving Equations by Multiplying or Dividing Solve the equation. Example 3A: Solving Equations That Contain Fractions w = 24 20 To check your solution, substitute24 for w in the original equation. w = 20 5 6 Check w = 20 5 6 The reciprocal of is. Since w is multiplied by, multiply both sides by. 5 6 6 5 5 6 6 5 20

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Holt Algebra 1 2-2 Solving Equations by Multiplying or Dividing Solve the equation. Example 3B: Solving Equations That Contain Fractions = z 3 16 To check your solution, substitute for z in the original equation. 3 2 = z 3 2 1 8 The reciprocal of is 8. Since z is multiplied by, multiply both sides by 8. 1 8 1 8 Check 1 8 3 16 = z 3 16 3

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Holt Algebra 1 2-2 Solving Equations by Multiplying or Dividing Solve the equation. Check your answer. Check It Out! Example 3a – = b 1 4 To check your solution, substitute – for b in the original equation. 5 4 1 5 The reciprocal of is 5. Since b is multiplied by, multiply both sides by 5. 1 5 1 5 = b 5 4 – 5 4 Check 1 1 –

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