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Algebraic Reasoning

Algebraic Reasoning. Geometry Honors. Algebra Logi c. 1. It is a four-digit number. 2. It is greater than 4000. 3. The sum of its hundreds digit and its ones digit is 9. 4. Twice its tens digit is 2 more than its thousands digit.

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Algebraic Reasoning

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  1. Algebraic Reasoning Geometry Honors

  2. Algebra Logic 1. It is a four-digit number. 2. It is greater than 4000. 3. The sum of its hundreds digit and its ones digit is 9. 4. Twice its tens digit is 2 more than its thousands digit. 5. The sum of one-fifth of its hundreds digit and two thirds of its ones digit is 6. 6. Its tens digit is 1 less than its thousands digit. 7. The product of its hundreds digit and its ones digit is 0. 8. It is not an even number. 9. It is less than 5000. 10. Its tens digit is 3.

  3. Properties

  4. Properties

  5. You use deductive reasoning every time you solve an algebraic equation. • You can justify every step of the solution with… • A postulate • A property • A definition

  6. Example: Solve for x and justify each step. Given: mAOC = 139 A   B x (2x+10)   O C

  7. Example: Solve for x and justify each step.  M Given: LM bisects KLN K (2x+40)   (4x)   L N

  8. Example: Solve for x and justify each step. Given: AC = 21 2y 3y - 9    B C A

  9. Properties of Congruence

  10. Let’s do pg. 91 together.

  11. #1 Solve for x and justify each step. E  x (3x+20)    D F C

  12. #2 Solve for n and justify each step. Given: XY = 42 3(n + 4) 3n    Y X Z

  13. #3 Solve for x and justify each step.

  14. #4 Solve for x and justify each step.

  15. #27 Solve for x and justify each step. Given: C is the midpoint of AD 4x 2x + 12    A D C

  16. #28 Solve for x and justify each step. Given: KM = 35 2x - 5 2x    K M L Find the length of KL.

  17. #29: Solve for x and justify each step.  E G Given: mGFI = 128  (9x-2) 4x   F I Find mEFI.

  18. #30: Solve for n and justify each step.   C A Given: BC bisects ABD (6n+1) (4n+19)   B D

  19. Homework • Properties WS • Properties WS #2

  20. 4039

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