8.1 Solving One Step Equations

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8.1 Solving One Step Equations

  1. 1. 8.1 Solving Linear Equations ­ One Step February 13, 2014 Linear Equations Grade 8 Review Solve the following equations: (use algebra tiles if needed) 1.) x + 2 = 9 2.) ­3 = 5 + y 3.) w ­ 8 = 0 4.) 4 = 2 ­ p 5.) 3x = 9 6.) ­10 = ­2y 7.) ­w = 4 8.)  9.)  10.) 2y ­ 2 = 8 1
  2. 2. 8.1 Solving Linear Equations ­ One Step February 13, 2014 Linear Equations Grade 8 Review Solve the following equations: (use algebra tiles if needed) 1.) x + 2 = 9 x = 7 2.) ­3 = 5 + y y = ­8 3.) w ­ 8 = 0 w = 8 4.) 4 = 2 ­ p p = ­2 5.) 3x = 9 x = 3 6.) ­10 = ­2y y = 5 7.) ­w = 4 w = ­4 8.)  x = 24 9.)  x = 16 10.) 2y ­ 2 = 8 y = 5 2
  3. 3. 8.1 Solving Linear Equations ­ One Step February 13, 2014 Linear Equations 3
  4. 4. 8.1 Solving Linear Equations ­ One Step February 13, 2014 8.1 Solving One­Step Linear Equations What is the difference between an  algebraic expression and an algebraic  equation? 4
  5. 5. 8.1 Solving Linear Equations ­ One Step February 13, 2014 Let's say we have the algebraic equation  x + 4 = 9. What do we want to do? How do we get there? 5
  6. 6. 8.1 Solving Linear Equations ­ One Step February 13, 2014 Think about a jar. How can we get the top  off? How can we get the top on? 6
  7. 7. 8.1 Solving Linear Equations ­ One Step February 13, 2014 Inverse actions! Subtraction Addition Multiplication Division 7
  8. 8. 8.1 Solving Linear Equations ­ One Step February 13, 2014 1. Get up 2. Stand on one foot! 3. What do you  have  to do to stay  balanced? 8
  9. 9. 8.1 Solving Linear Equations ­ One Step February 13, 2014 "For every  action there  is an equal  and  opposite  reaction" 9
  10. 10. 8.1 Solving Linear Equations ­ One Step February 13, 2014 Whatever  you do to  one side of  the equal  sign, you  must do to  the other 10
  11. 11. 8.1 Solving Linear Equations ­ One Step February 13, 2014 E.g. x + 3 = 5 x 1 ­1 1 1 ­1 ­1 = 1 ­1 1 ­1 1 1 1 ­1 ­1 1 x 11
  12. 12. 8.1 Solving Linear Equations ­ One Step February 13, 2014 Solve:  x ­ 3 = 5    = = ­1 1 ­x x 12
  13. 13. 8.1 Solving Linear Equations ­ One Step February 13, 2014 Solve:  2x = 6    = = ­1 1 ­x x 13
  14. 14. 8.1 Solving Linear Equations ­ One Step February 13, 2014 Solve:  ­x = 4    = = ­1 1 ­x x 14
  15. 15. 8.1 Solving Linear Equations ­ One Step February 13, 2014 15
  16. 16. 8.1 Solving Linear Equations ­ One Step February 13, 2014 Solve:   = ­1 1 ­x x 16
  17. 17. 8.1 Solving Linear Equations ­ One Step February 13, 2014 17
  18. 18. 8.1 Solving Linear Equations ­ One Step February 13, 2014 18
  19. 19. 8.1 Solving Linear Equations ­ One Step February 13, 2014 19
  20. 20. 8.1 Solving Linear Equations ­ One Step February 13, 2014 Solve: 20
  21. 21. 8.1 Solving Linear Equations ­ One Step February 13, 2014 Solve the following:   21
  22. 22. 8.1 Solving Linear Equations ­ One Step February 13, 2014 Solve the following: 1.4 = ­4.2m 22
  23. 23. 8.1 Solving Linear Equations ­ One Step February 13, 2014 23
  24. 24. 8.1 Solving Linear Equations ­ One Step February 13, 2014 Solve: 24
  25. 25. 8.1 Solving Linear Equations ­ One Step February 13, 2014 Assignment page 301 Questions 1 ­ 3, 6 ­ 13 25

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