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Transcript
Solving Multi-Step Equations Solving Multi-Step Equations (Combing Like Terms) 1. Combine Like Terms/Distribute (simplify) 2. Add or Subtract 3. Multiply or Divide Additional Example 1: Solving Equations That Contain Like Terms Try This: Example 1 Solve 12 – 7b + 10b = 18. 12 – 7b + 10b = 18 12 + 3b = 18 – 12 – 12 3b = 6 3b = 6 3 3 b = 2 Combine like terms. Subtract 12 from both sides. Divide both sides by 3. Solve 14 – 8b + 12b = 62. 14 – 8b + 12b = 62 14 + 4b = 62 – 14 – 14 4b = 48 4b = 48 4 4 b = Combine like terms. Subtract 14 from both sides. Divide both sides by 4. 12 1 Sometimes one side of an equation has has a variable expression as the numerator of a fraction. With this type of equation, it may help to first multiply both sides of the equation by the denominator. Additional Example 2: Solving Equations That Contain Fractions 3y – 6 Solve = 3. 7 (7) 3y – 6 = (7)3 Multiply both sides by 7. 7 3y – 6 = 21 +6 +6 Add 6 to both sides. 3y = 27 3y 3 = 27 3 y=9 Divide both sides by 3. Whiteboard Practice Try This: Example 2 4y – 4 = 14. 8 (8) 4y – 4 = (8)14 Multiply both sides by 8. 8 4y – 4 = 112 +4 +4 Add 4 to both sides. Solve 4y = 116 4y 4 = 116 4 y = 29 Divide both sides by 4. Directions: Solve each equation by showing which property you use and check your answer. 1. 2. 3. 4. 5. 6. 7. 8. 15x-8 – 3x = 16 5n + 3 + 4n = 30 c – 6 +7c = 42 -3g + 6 + 2g = 15 -2b + 7 – 3b = 2 5y + 1 + 3y = -15 4k – 14 + 3k = 21 9m + 10 – 14m = -5 2