Solving Equations by Multiplying or Dividing COURSE 2

Solving Equations by Multiplying or Dividing COURSE 2 LESSON 2 -4 Solve – 3 j = 44. 7. Check your answer. – 3 j = 44. 7 Notice j is being multiplied by – 3 j 44. 7 = – 3 Divide each side by – 3 to get j alone. j = – 14. 9 Simplify. Check – 3 j = 44. 7 equation. – 3(– 14. 9) 44. 7 = 44. 7 Check your solution in the original Replace j with – 14. 9. The solution checks. 2 -4

Solving Equations by Multiplying or Dividing COURSE 2 LESSON 2 -4 The Art Club must buy 84 pieces of poster board. There are 6 pieces of poster board in a package. How many packages of poster board must the Art Club buy? Words 6 pieces Let Equation p 6 times number of packages equals = number of packages to buy • p = 6 • p = 84 6 • p 84 = 6 6 p = 14 number of pieces Art Club must buy Divide each side by 6. Simplify. The Art Club must buy 14 packages of poster board. 2 -4 84

Solving Equations by Multiplying or Dividing COURSE 2 LESSON 2 -4 (continued) Look Back and Check The Art Club needs 84 pieces of poster board. Each package contains 6 pieces. If the Art Club buys 14 packages, they will have 6 • 14, or 84, pieces. The answer checks. 2 -4

Solving Equations by Multiplying or Dividing COURSE 2 LESSON 2 -4 Solve (– 3) • m = 27. – 3 m – 3 = 27 Notice that m is divided by – 3. m – 3 = (– 3) • 27 Multiply each side by – 3. m = – 81 Simplify. 2 -4

Solving Equations by Multiplying or Dividing COURSE 2 LESSON 2 -4 Solve each equation. 1. 15 x = 60 x=4 3. – 35 = – 7 b b=5 y 2. 12 = 8 y = 96� n 4. – 5 = – 13 n = 65 2 -4