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9-10 Writing Equations    Algebra and Functions 1.5
Skills Needed:
Skills Needed:Recognizing patterns
Skills Needed:Recognizing patterns+3x y402
Skills Needed:   Recognizing patternsBefore: You were given the rule.    +3    x y    4    0    2
Skills Needed:   Recognizing patternsBefore: You were given the rule.    +    3    x        y    4        7    0        3 ...
Skills Needed:   Recognizing patternsBefore: You were given the rule.    +    3                    ?    x        y        ...
Skills Needed:   Recognizing patternsBefore: You were                  Today: You find a given the rule.                  p...
Skills Needed:   Recognizing patternsBefore: You were                  Today: You find a given the rule.                  p...
Skills Needed:   Recognizing patternsBefore: You were                  Today: You find a given the rule.                  p...
Skills Needed:   Recognizing patternsBefore: You were                  Today: You find a given the rule.                  p...
Skills Needed:   Recognizing patternsBefore: You were                  Today: You find a given the rule.                  p...
Skills Needed:   Recognizing patternsBefore: You were              Today: You find a given the rule.              pattern t...
Skills Needed:   Recognizing patternsBefore: You were               Today: You find a given the rule.               pattern...
Skills Needed:   Recognizing patternsBefore: You were                    Today: You find a given the rule.                 ...
Skills Needed:   Recognizing patternsBefore: You were                    Today: You find a given the rule.                 ...
x   -3 -2 -1   0   1   2   3y   -6 -5 -4 -3 -2     1   0
Rewrite      x   -3 -2 -1   0   1   2   3vertically.              y   -6 -5 -4 -3 -2     1   0
Rewrite      x   -3 -2 -1   0   1   2   3vertically.              y   -6 -5 -4 -3 -2     1   0     ?-3    -6-2    -5-1    ...
Rewrite       x   -3 -2 -1   0   1   2   3vertically.               y   -6 -5 -4 -3 -2     1   0     ?         Use number ...
Rewrite      x   -3 -2 -1   0   1   2   3vertically.              y   -6 -5 -4 -3 -2     1   0     ?-3    -6-2    -5-1    ...
Rewrite      x     -3 -2 -1           0     1     2       3vertically.              y     -6 -5 -4 -3 -2                 1...
Rewrite      x     -3 -2 -1           0     1     2       3vertically.              y     -6 -5 -4 -3 -2                 1...
Rewrite      x     -3 -2 -1           0     1     2       3vertically.              y     -6 -5 -4 -3 -2                 1...
Rewrite      x     -3 -2 -1           0     1     2       3vertically.              y     -6 -5 -4 -3 -2                 1...
Rewrite      x     -3 -2 -1           0     1     2       3vertically.              y     -6 -5 -4 -3 -2                 1...
Rewrite      x     -3 -2 -1           0     1     2       3vertically.              y     -6 -5 -4 -3 -2                 1...
Rewrite      x     -3 -2 -1           0     1     2       3vertically.              y     -6 -5 -4 -3 -2                 1...
Rewrite      x     -3 -2 -1           0     1     2       3vertically.              y     -6 -5 -4 -3 -2                 1...
Rewrite      x     -3 -2 -1           0     1     2       3vertically.              y     -6 -5 -4 -3 -2                 1...
Rewrite      x     -3 -2 -1           0     1     2       3vertically.              y     -6 -5 -4 -3 -2                 1...
Rewrite      x     -3 -2 -1           0     1     2       3vertically.              y     -6 -5 -4 -3 -2                 1...
Rewrite      x     -3 -2 -1           0     1     2       3vertically.              y     -6 -5 -4 -3 -2                 1...
Rewrite      x     -3 -2 -1           0     1     2       3vertically.              y     -6 -5 -4 -3 -2                 1...
Rewrite      x     -3 -2 -1           0     1     2       3vertically.              y     -6 -5 -4 -3 -2                 1...
Rewrite      x     -3 -2 -1           0     1     2       3vertically.              y     -6 -5 -4 -3 -2                 1...
x   -3 -2 -1    0   1   2   3y   2   3   4   5   6   7   8
Rewrite      x   -3 -2 -1    0   1   2   3vertically.              y   2   3   4   5   6   7   8
Rewrite      x   -3 -2 -1    0   1   2   3vertically.              y   2   3   4   5   6   7   8    ? -3     2 -2     3 -1...
Rewrite       x   -3 -2 -1    0   1   2   3vertically.               y   2   3   4   5   6   7   8    ?          Use numbe...
Rewrite      x   -3 -2 -1    0   1   2   3vertically.              y   2   3   4   5   6   7   8    ? -3     2 -2     3 -1...
Rewrite      x     -3 -2 -1           0     1     2       3vertically.              y     2      3     4     5     6     7...
Rewrite      x     -3 -2 -1           0     1     2       3vertically.              y     2      3     4     5     6     7...
Rewrite      x     -3 -2 -1           0     1     2       3vertically.              y     2      3     4     5     6     7...
Rewrite      x     -3 -2 -1           0     1     2       3vertically.              y     2      3     4     5     6     7...
Rewrite      x     -3 -2 -1           0     1     2       3vertically.              y     2      3     4     5     6     7...
Rewrite      x     -3 -2 -1           0     1     2       3vertically.              y     2      3     4     5     6     7...
Rewrite      x     -3 -2 -1           0     1     2       3vertically.              y     2      3     4     5     6     7...
Rewrite      x     -3 -2 -1           0     1     2       3vertically.              y     2      3     4     5     6     7...
Rewrite      x     -3 -2 -1           0     1     2       3vertically.              y     2      3     4     5     6     7...
Rewrite      x     -3 -2 -1           0     1     2       3vertically.              y     2      3     4     5     6     7...
Rewrite      x     -3 -2 -1           0     1     2       3vertically.              y     2      3     4     5     6     7...
Rewrite      x     -3 -2 -1           0     1     2       3vertically.              y     2      3     4     5     6     7...
Rewrite      x     -3 -2 -1           0     1     2       3vertically.              y     2      3     4     5     6     7...
Rewrite      x     -3 -2 -1           0     1     2       3vertically.              y     2      3     4     5     6     7...
Rewrite      x     -3 -2 -1           0     1     2       3vertically.              y     2      3     4     5     6     7...
Rewrite      x     -3 -2 -1           0     1     2       3vertically.              y     2      3     4     5     6     7...
Write an equation to describe the relationship between x and y.
Write an equation to describe the      relationship between x and y.x      y-2     8-1     90      101      112      12
Write an equation to describe the      relationship between x and y.x      y           x    y-2     8           -2   -4-1 ...
Write an equation to describe the      relationship between x and y.x      y           x    y           x    y-2     8    ...
Write an equation to describe the       relationship between x and y. x      y           x    y           x    y -2     8 ...
Write an equation to describe the       relationship between x and y. x      y           x    y           x    y -2     8 ...
Write an equation to describe the       relationship between x and y. x      y           x    y           x    y -2     8 ...
Write an equation to describe the       relationship between x and y. x      y           x    y           x    y -2     8 ...
Write an equation to describe the       relationship between x and y. x      y           x    y           x    y -2     8 ...
Write an equation to describe the       relationship between x and y. x      y           x    y           x    y -2     8 ...
Write an equation to describe the       relationship between x and y. x      y           x    y           x    y -2     8 ...
Write an equation to describe the       relationship between x and y. x      y           x    y           x    y -2     8 ...
Write an equation to describe the       relationship between x and y. x      y           x    y           x    y -2     8 ...
9-10 Writing Equations
9-10 Writing Equations
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9-10 Writing Equations

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  • Transcript of "9-10 Writing Equations"

    1. 1. 9-10 Writing Equations Algebra and Functions 1.5
    2. 2. Skills Needed:
    3. 3. Skills Needed:Recognizing patterns
    4. 4. Skills Needed:Recognizing patterns+3x y402
    5. 5. Skills Needed: Recognizing patternsBefore: You were given the rule. +3 x y 4 0 2
    6. 6. Skills Needed: Recognizing patternsBefore: You were given the rule. + 3 x y 4 7 0 3 2 5
    7. 7. Skills Needed: Recognizing patternsBefore: You were given the rule. + 3 ? x y x y 4 7 2 7 0 3 3 8 2 5 4 9
    8. 8. Skills Needed: Recognizing patternsBefore: You were Today: You find a given the rule. pattern to FIND THE RULE. + 3 ? x y x y 4 7 2 7 0 3 3 8 2 5 4 9
    9. 9. Skills Needed: Recognizing patternsBefore: You were Today: You find a given the rule. pattern to FIND THE RULE. + 3 ? x y x y 4 7 2 7 2+5=7 0 3 3 8 2 5 4 9
    10. 10. Skills Needed: Recognizing patternsBefore: You were Today: You find a given the rule. pattern to FIND THE RULE. + 3 ? x y x y 4 7 2 7 2+5=7 0 3 3 8 3+5=8 2 5 4 9
    11. 11. Skills Needed: Recognizing patternsBefore: You were Today: You find a given the rule. pattern to FIND THE RULE. + 3 ? x y x y 4 7 2 7 2+5=7 0 3 3 8 3+5=8 2 5 4 9 4+5=9
    12. 12. Skills Needed: Recognizing patternsBefore: You were Today: You find a given the rule. pattern to FIND THE RULE. + 3 ? x y x y 4 7 2 7 2+5=7 0 3 3 8 3+5=8 2 5 4 9 4+5=9
    13. 13. Skills Needed: Recognizing patternsBefore: You were Today: You find a given the rule. pattern to FIND THE RULE. + 3 x y x y 4 7 2 7 2+5=7 0 3 3 8 3+5=8 2 5 4 9 4+5=9
    14. 14. Skills Needed: Recognizing patternsBefore: You were Today: You find a given the rule. pattern to FIND THE RULE. + 3 + 5 x y x y 4 7 2 7 2+5=7 0 3 3 8 3+5=8 2 5 4 9 4+5=9
    15. 15. Skills Needed: Recognizing patternsBefore: You were Today: You find a given the rule. pattern to FIND The Rule! THE RULE. + 3 + 5 x y x y 4 7 2 7 2+5=7 0 3 3 8 3+5=8 2 5 4 9 4+5=9
    16. 16. Skills Needed: Recognizing patternsBefore: You were Today: You find a given the rule. pattern to FIND The Rule! THE RULE. + 3 + 5 x y x y 4 7 2 7 2+5=7 0 3 3 8 3+5=8 2 5 4 9 4+5=9 The equation is written y = x + 5.
    17. 17. x -3 -2 -1 0 1 2 3y -6 -5 -4 -3 -2 1 0
    18. 18. Rewrite x -3 -2 -1 0 1 2 3vertically. y -6 -5 -4 -3 -2 1 0
    19. 19. Rewrite x -3 -2 -1 0 1 2 3vertically. y -6 -5 -4 -3 -2 1 0 ?-3 -6-2 -5-1 -4 0 -3 1 -2 2 -1 3 0
    20. 20. Rewrite x -3 -2 -1 0 1 2 3vertically. y -6 -5 -4 -3 -2 1 0 ? Use number lines to help find-3 -6 a pattern to identify the RULE.-2 -5-1 -4 0 -3 1 -2 2 -1 3 0
    21. 21. Rewrite x -3 -2 -1 0 1 2 3vertically. y -6 -5 -4 -3 -2 1 0 ?-3 -6-2 -5-1 -4 0 -3 1 -2 2 -1 3 0
    22. 22. Rewrite x -3 -2 -1 0 1 2 3vertically. y -6 -5 -4 -3 -2 1 0 ?-3 -6-2 -5 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7-1 -4 0 -3 1 -2 2 -1 3 0
    23. 23. Rewrite x -3 -2 -1 0 1 2 3vertically. y -6 -5 -4 -3 -2 1 0 ?-3 -6-2 -5 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7-1 -4 0 -3 1 -2 2 -1 3 0
    24. 24. Rewrite x -3 -2 -1 0 1 2 3vertically. y -6 -5 -4 -3 -2 1 0 ? moves-3 -6 left - 3-2 -5 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7-1 -4 0 -3 1 -2 2 -1 3 0
    25. 25. Rewrite x -3 -2 -1 0 1 2 3vertically. y -6 -5 -4 -3 -2 1 0 ? moves-3 -6 left - 3-2 -5 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7-1 -4 0 -3 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 1 -2 2 -1 3 0
    26. 26. Rewrite x -3 -2 -1 0 1 2 3vertically. y -6 -5 -4 -3 -2 1 0 ? moves-3 -6 left - 3-2 -5 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7-1 -4 0 -3 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 1 -2 2 -1 3 0
    27. 27. Rewrite x -3 -2 -1 0 1 2 3vertically. y -6 -5 -4 -3 -2 1 0 ? moves-3 -6 left - 3-2 -5 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves-1 -4 left - 3 0 -3 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 1 -2 2 -1 3 0
    28. 28. Rewrite x -3 -2 -1 0 1 2 3vertically. y -6 -5 -4 -3 -2 1 0 ? moves-3 -6 left - 3-2 -5 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves-1 -4 left - 3 0 -3 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 1 -2 2 -1 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 3 0
    29. 29. Rewrite x -3 -2 -1 0 1 2 3vertically. y -6 -5 -4 -3 -2 1 0 ? moves-3 -6 left - 3-2 -5 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves-1 -4 left - 3 0 -3 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 1 -2 2 -1 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 3 0
    30. 30. Rewrite x -3 -2 -1 0 1 2 3vertically. y -6 -5 -4 -3 -2 1 0 ? moves-3 -6 left - 3-2 -5 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves-1 -4 left - 3 0 -3 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves 1 -2 left - 3 2 -1 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 3 0
    31. 31. Rewrite x -3 -2 -1 0 1 2 3vertically. y -6 -5 -4 -3 -2 1 0 ? moves-3 -6 left - 3-2 -5 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves-1 -4 left - 3 0 -3 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves 1 -2 left - 3 2 -1 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 3 0 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7
    32. 32. Rewrite x -3 -2 -1 0 1 2 3vertically. y -6 -5 -4 -3 -2 1 0 ? moves-3 -6 left - 3-2 -5 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves-1 -4 left - 3 0 -3 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves 1 -2 left - 3 2 -1 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 3 0 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7
    33. 33. Rewrite x -3 -2 -1 0 1 2 3vertically. y -6 -5 -4 -3 -2 1 0 ? moves-3 -6 left - 3-2 -5 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves-1 -4 left - 3 0 -3 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves 1 -2 left - 3 2 -1 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves 3 0 left - 3 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7
    34. 34. Rewrite x -3 -2 -1 0 1 2 3vertically. y -6 -5 -4 -3 -2 1 0 moves-3 -6 left - 3-2 -5 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves-1 -4 left - 3 0 -3 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves 1 -2 left - 3 2 -1 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves 3 0 left - 3 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7
    35. 35. Rewrite x -3 -2 -1 0 1 2 3vertically. y -6 -5 -4 -3 -2 1 0 - 3 moves-3 -6 left - 3-2 -5 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves-1 -4 left - 3 0 -3 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves 1 -2 left - 3 2 -1 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves 3 0 left - 3 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7
    36. 36. Rewrite x -3 -2 -1 0 1 2 3vertically. y -6 -5 -4 -3 -2 1 0 - 3 moves-3 -6 left - 3-2 -5 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves-1 -4 left - 3 0 -3 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves 1 -2 left - 3 2 -1 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves 3 0 left - 3 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 The equation is written y = x - 3.
    37. 37. x -3 -2 -1 0 1 2 3y 2 3 4 5 6 7 8
    38. 38. Rewrite x -3 -2 -1 0 1 2 3vertically. y 2 3 4 5 6 7 8
    39. 39. Rewrite x -3 -2 -1 0 1 2 3vertically. y 2 3 4 5 6 7 8 ? -3 2 -2 3 -1 4 0 5 1 6 2 7 3 8
    40. 40. Rewrite x -3 -2 -1 0 1 2 3vertically. y 2 3 4 5 6 7 8 ? Use number lines to help find -3 2 a pattern to identify the RULE. -2 3 -1 4 0 5 1 6 2 7 3 8
    41. 41. Rewrite x -3 -2 -1 0 1 2 3vertically. y 2 3 4 5 6 7 8 ? -3 2 -2 3 -1 4 0 5 1 6 2 7 3 8
    42. 42. Rewrite x -3 -2 -1 0 1 2 3vertically. y 2 3 4 5 6 7 8 ? -3 2 -2 3 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 -1 4 0 5 1 6 2 7 3 8
    43. 43. Rewrite x -3 -2 -1 0 1 2 3vertically. y 2 3 4 5 6 7 8 ? -3 2 -2 3 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 -1 4 0 5 1 6 2 7 3 8
    44. 44. Rewrite x -3 -2 -1 0 1 2 3vertically. y 2 3 4 5 6 7 8 ? moves -3 2 right +5 -2 3 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 -1 4 0 5 1 6 2 7 3 8
    45. 45. Rewrite x -3 -2 -1 0 1 2 3vertically. y 2 3 4 5 6 7 8 ? moves -3 2 right +5 -2 3 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 -1 4 0 5 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 1 6 2 7 3 8
    46. 46. Rewrite x -3 -2 -1 0 1 2 3vertically. y 2 3 4 5 6 7 8 ? moves -3 2 right +5 -2 3 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 -1 4 0 5 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 1 6 2 7 3 8
    47. 47. Rewrite x -3 -2 -1 0 1 2 3vertically. y 2 3 4 5 6 7 8 ? moves -3 2 right +5 -2 3 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves -1 4 right +5 0 5 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 1 6 2 7 3 8
    48. 48. Rewrite x -3 -2 -1 0 1 2 3vertically. y 2 3 4 5 6 7 8 ? moves -3 2 right +5 -2 3 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves -1 4 right +5 0 5 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 1 6 2 7 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 3 8
    49. 49. Rewrite x -3 -2 -1 0 1 2 3vertically. y 2 3 4 5 6 7 8 ? moves -3 2 right +5 -2 3 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves -1 4 right +5 0 5 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 1 6 2 7 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 3 8
    50. 50. Rewrite x -3 -2 -1 0 1 2 3vertically. y 2 3 4 5 6 7 8 ? moves -3 2 right +5 -2 3 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves -1 4 right +5 0 5 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves 1 6 right +5 2 7 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 3 8
    51. 51. Rewrite x -3 -2 -1 0 1 2 3vertically. y 2 3 4 5 6 7 8 ? moves -3 2 right +5 -2 3 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves -1 4 right +5 0 5 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves 1 6 right +5 2 7 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 3 8 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7
    52. 52. Rewrite x -3 -2 -1 0 1 2 3vertically. y 2 3 4 5 6 7 8 ? moves -3 2 right +5 -2 3 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves -1 4 right +5 0 5 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves 1 6 right +5 2 7 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 3 8 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7
    53. 53. Rewrite x -3 -2 -1 0 1 2 3vertically. y 2 3 4 5 6 7 8 ? moves -3 2 right +5 -2 3 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves -1 4 right +5 0 5 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves 1 6 right +5 2 7 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves 3 8 right -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 +5
    54. 54. Rewrite x -3 -2 -1 0 1 2 3vertically. y 2 3 4 5 6 7 8 ? moves -3 2 right +5 -2 3 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves -1 4 right +5 0 5 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves 1 6 right +5 2 7 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 +8 moves 3 8 right -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 +5
    55. 55. Rewrite x -3 -2 -1 0 1 2 3vertically. y 2 3 4 5 6 7 8 moves -3 2 right +5 -2 3 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves -1 4 right +5 0 5 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves 1 6 right +5 2 7 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 +8 moves 3 8 right -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 +5
    56. 56. Rewrite x -3 -2 -1 0 1 2 3vertically. y 2 3 4 5 6 7 8 + 5 moves -3 2 right +5 -2 3 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves -1 4 right +5 0 5 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves 1 6 right +5 2 7 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 +8 moves 3 8 right -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 +5
    57. 57. Rewrite x -3 -2 -1 0 1 2 3vertically. y 2 3 4 5 6 7 8 + 5 moves -3 2 right +5 -2 3 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves -1 4 right +5 0 5 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves 1 6 right +5 2 7 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 +8 moves 3 8 right -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 +5 The equation is written y = x + 5.
    58. 58. Write an equation to describe the relationship between x and y.
    59. 59. Write an equation to describe the relationship between x and y.x y-2 8-1 90 101 112 12
    60. 60. Write an equation to describe the relationship between x and y.x y x y-2 8 -2 -4-1 9 -1 -30 10 0 -21 11 1 -12 12 2 0
    61. 61. Write an equation to describe the relationship between x and y.x y x y x y-2 8 -2 -4 -2 4-1 9 -1 -3 -1 50 10 0 -2 0 61 11 1 -1 1 72 12 2 0 2 8
    62. 62. Write an equation to describe the relationship between x and y. x y x y x y -2 8 -2 -4 -2 4 -1 9 -1 -3 -1 5 0 10 0 -2 0 6 1 11 1 -1 1 7 2 12 2 0 2 8y = x + 10
    63. 63. Write an equation to describe the relationship between x and y. x y x y x y -2 8 -2 -4 -2 4 -1 9 -1 -3 -1 5 0 10 0 -2 0 6 1 11 1 -1 1 7 2 12 2 0 2 8y = x + 10
    64. 64. Write an equation to describe the relationship between x and y. x y x y x y -2 8 -2 -4 -2 4 -1 9 -1 -3 -1 5 0 10 0 -2 0 6 1 11 1 -1 1 7 2 12 2 0 2 8y = x + 10
    65. 65. Write an equation to describe the relationship between x and y. x y x y x y -2 8 -2 -4 -2 4 -1 9 -1 -3 -1 5 0 10 0 -2 0 6 1 11 1 -1 1 7 2 12 2 0 2 8y = x + 10 y=x-2
    66. 66. Write an equation to describe the relationship between x and y. x y x y x y -2 8 -2 -4 -2 4 -1 9 -1 -3 -1 5 0 10 0 -2 0 6 1 11 1 -1 1 7 2 12 2 0 2 8y = x + 10 y=x-2
    67. 67. Write an equation to describe the relationship between x and y. x y x y x y -2 8 -2 -4 -2 4 -1 9 -1 -3 -1 5 0 10 0 -2 0 6 1 11 1 -1 1 7 2 12 2 0 2 8y = x + 10 y=x-2
    68. 68. Write an equation to describe the relationship between x and y. x y x y x y -2 8 -2 -4 -2 4 -1 9 -1 -3 -1 5 0 10 0 -2 0 6 1 11 1 -1 1 7 2 12 2 0 2 8y = x + 10 y=x-2 y=x+6
    69. 69. Write an equation to describe the relationship between x and y. x y x y x y -2 8 -2 -4 -2 4 -1 9 -1 -3 -1 5 0 10 0 -2 0 6 1 11 1 -1 1 7 2 12 2 0 2 8y = x + 10 y=x-2 y=x+6
    70. 70. Write an equation to describe the relationship between x and y. x y x y x y -2 8 -2 -4 -2 4 -1 9 -1 -3 -1 5 0 10 0 -2 0 6 1 11 1 -1 1 7 2 12 2 0 2 8y = x + 10 y=x-2 y=x+6
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