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Bellwork 10/12

Bellwork 10/12. Solve and Check: (Show your work) 1.) (x - 3)/4 = 6 2.) x/3 + 4 = 10 3.) 2a - 3 = 5a - 9 Simplify: 4.) 2(3 - x) 5.) 3(6 - 2y). Bellwork 10/12. Solution. Check. Solve and Check: 1.) (x - 3)/4 = 6 2.) x/3 + 4 = 10 3.) 2a - 3 = 5a - 9 4.) 2(3 - x) 5.) 3(6 - 2y).

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Bellwork 10/12

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  1. Bellwork 10/12 • Solve and Check:(Show your work) • 1.) (x - 3)/4 = 6 • 2.) x/3 + 4 = 10 • 3.) 2a - 3 = 5a - 9 • Simplify: • 4.) 2(3 - x) • 5.) 3(6 - 2y)

  2. Bellwork 10/12 Solution Check • Solve and Check: • 1.) (x - 3)/4 = 6 • 2.) x/3 + 4 = 10 • 3.) 2a - 3 = 5a - 9 • 4.) 2(3 - x) • 5.) 3(6 - 2y) x = 27 6=6 x = 18 10=10 2 = a 1 =1 Simplify 6 - 2x 18 - 6y

  3. Today’s Objective • To be able to solve equations with fractions and decimals.

  4. Multiply by 100 Why 100 ? Example #1 • 3.57x - 37.40 = .23x + 8.32 • (100)3.57x-37.40=.23x+8.32(100) • 357x - 3740 = 23x + 832 • 357x -23x - 3740 = 23x -23x + 832 • 334x - 3740 = 832 • 334x - 3740 + 3740 = 832 + 3740 • 334x = 4572

  5. Example #1 • 334x = 4572 • 334x/334 = 4572/334 • x  13.69

  6. Remove the decimal points Now you try this • 4.5 - 7.2x = 3.4x - 49.5 • (10)4.5 - 7.2x = 3.4x - 49.5(10) 45 - 72x = 34x - 495

  7. Now you try this • 4.5 - 7.2x = 3.4x - 49.5 • (10)4.5 - 7.2x = 3.4x - 49.5(10) • 45 - 72x = 34x - 495 • 45 - 72x +72x = 34x +72x-495 • 45 = 106x - 495 • 45 + 495 = 106x - 495 + 495 • 540 = 106x

  8. Now you try this • 540 = 106x • 540/106 = 106x/106 • 5.1  x

  9. Equations with Fractions and special fraction problems

  10. Example #1 • x/3 - 9 = 21 • x/3 - 9 + 9 = 21 + 9 • x/3 = 30 • (3)x/3 = 30(3) • x = 90

  11. Check #1 • x/3 - 9 = 21 • 90/3 - 9 = 21 • 30 - 9 = 21 • 21 = 21 True

  12. Now You try this one (solve and check) • a/5 - 6 = 10 • a/5 - 6 + 6 = 10 + 6 • a/5 = 16 • (5)a/5 = 16(5) • a = 80

  13. Check • a/5 - 6 = 10 • 80/5 - 6 = 10 • 16 - 6 = 10 • 10 = 10 True

  14. Example #2 • (x - 9)/3 = 21 • (3)(x - 9)/3 = 21(3) • x - 9 = 63 • x - 9 + 9 = 63 + 9 • x = 72

  15. Check #2 • (x - 9)/3 = 21 • (72 - 9)/3 = 21 • 63/3 = 21 • 21 = 21 True

  16. Now You try this one (solve and check) • (x - 2)/3 = 5 • (3)(x - 2)/3 = 5(3) • x - 2 = 15 • x - 2 + 2 = 15 + 2 • x = 17

  17. Check • (x - 2)/3 = 5 • (17 - 2)/3 = 5 • 15/3 = 5 • 5 = 5 True

  18. Be READY to tell me the Mistake Below: • 2(6 - 2x) = 4 • 12 - 2x = 4 • 12 -12 - 2x = 4 - 12 • - 2x = -8 • -2x/-2 = -8/-2 x = 4

  19. The corrected version • 2(6 - 2x) = 4 • 12 - 4x = 4 • 12 -12 - 4x = 4 - 12 • - 4x = -8 • -4x/-4 = -8/-4 x = 2

  20. Be READY to tell me the Mistake Below: • 2(6 - 2x) = 4 • 12 - 4x = 4 • 12 - 12 - 4x = 4 - 12 • 4x = -8 • 4x/4 = -8/4 x = -2

  21. The corrected version • 2(6 - 2x) = 4 • 12 - 4x = 4 • 12 -12 - 4x = 4 - 12 • - 4x = -8 • -4x/-4 = -8/-4 x = 2

  22. Solve the following • 1.) 2(3-x) = 4 • 2.) 2(6 - 2x) = 4 • 3.) 1/2(4 - 6a) = 6 x = 1 x = 2 a = -4/3

  23. Classwork • Do worksheet 3-5 (1-24) • Homework • Page 151 (5-28)

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