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6 minutes. Warm-Up. Simplify. 1). 2). 3) 10(1.2u + 0.5). 3.6 Clearing an Equation of Fractions or Decimals. Objectives: To clear an equation of fractions or decimals. Example 1. Solve. The LCD is 6. Multiply both sides by 6. 2p. = 9. + 1. -1 -1. 2p = 8. 2. 2. p = 4.
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6 minutes Warm-Up Simplify. 1) 2) 3) 10(1.2u + 0.5)
3.6 Clearing an Equation of Fractions or Decimals Objectives: To clear an equation of fractions or decimals
Example 1 Solve. The LCD is 6. Multiply both sides by 6. 2p = 9 + 1 -1 -1 2p = 8 2 2 p = 4
Example 2 Solve. The LCD is 12. Multiply both sides by 12. 8 = 4 + 3x -8 -8 3x = -4 3 3
Practice Solve. 1) 2) 3)
Example 3 Solve. Multiply both sides by 10 to clear the decimals. 0.5r + 1.5 = 3 10(0.5r) + 10(1.5) = 10(3) 5r + 15 = 30 -15 -15 5r = 15 5 5 r = 3
Example 4 Solve. 0.7x – 15 + x = 2x – 8 – 0.4x 10(0.7)x – 10(15) + 10(x) = 10(2x) – 10(8) – 10(0.4)x 7x – 150 + 10x = 20x – 80 – 4x 17x – 150 = 16x – 80 -16x -16x x – 150 = – 80 + 150 + 150 x = 70
Practice Solve. 1) 26.45 = 4.2x + 1.25 2) 41.68 = 4.7 – 8.6y 3) 0.7n – 15 + n = 2n – 8 – 0.4n
Homework p.140 #7-23 odds