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 Chapter 8 Test
Solve for “y” in terms of “x”
                                            Give 2 ordered
      Get “y” alone          Name m and b        pairs

                                                (0, -5)
                                m = 2
2y = 4x - 10    y = 2x - 5
                                               (1, - 3)
                                b=-5


                                m = 4           (0, -3)
3y = 12x - 9    y = 4x - 3
                                b=-3            (1, 1)


                             m = no slope      (- 5, 0)
   x=-5           x=-5
                               b = none        (- 5, 1)
Give 2 ordered
    Solve for “y”            Name m and b        pairs

                                                (0, -1)
                                 m = 3
 y = 3x - 1   y = 3x - 1
                                                (1, 2)
                                 b=-1

                                 m = 4          (0, -2)
y = 4x – 2    y = 4x – 2             5

   5             5              b=-2            (5, 2)


                                m = -3          ( 0, 3)
3x + y = 3     y = -3x + 3
                                 b=3            ( 1, 0)
Give 2 ordered
    Solve for “y”           Name m and b         pairs

                                                (0, -5)
                                m = 3
2y = 6x - 10   y = 3x - 5
                                                (1, - 2)
                                b=-5


                               m = 3            (0, -2)
4y = 12x - 8   y = 3x - 2
                               b=-2             (1, 1)


                             m = no slope       (- 2, 0)
   x=-2          x=-2
                              b = none          (- 2, 1)
Give 2 ordered
     Solve for “y”            Name m and b        pairs

                                                 (0, -2)
                                  m = 3
  y = 3x - 2   y = 3x - 2
                                                 (1, 1)
                                  b=-2

                                  m = 3          (0, -1)
 y = 3x – 1    y = 3x – 1             5

    5             5              b=-1            (5, 2)


                                 m = -2          ( 0, - 3)
2x + y = - 3    y = -2x - 3
                                 b=-3            ( 1, - 5)
Give 2 ordered
    Solve for “y”            Name m and b         pairs

                                                 (0, -5)
                                 m = 4
2y = 8x - 10    y = 4x - 5
                                                 (1, - 1)
                                 b=-5


                                m = 2            (0, -3)
6y = 12x - 18   y = 2x - 3
                                b=-3             (1, -1)


                              m = no slope       ( 4, 0)
   x = 4           x = 4
                               b = none          ( 4, 1)
Give 2 ordered
     Solve for “y”            Name m and b        pairs

                                                 (0, -5)
                                  m = 3
  y = 3x - 5   y = 3x - 5
                                                 (1, - 2)
                                  b=-5

                                  m = 2          (0, -1)
 y = 2x – 1    y = 2x – 1             5

    5             5              b=-1            (5, 1)


                                 m = -4          ( 0, - 3)
4x + y = - 3    y = -4x - 3
                                 b=-3            ( 1, - 7)
Is
                                                   Name             Name              This
                                                    The              The                a
      Relation                                    Domain            Range           Function?

       {(3,4),(4,6),(5,8),(6,10)}             {3, 4, 5, 6}        {4, 6, 8, 10}        Yes

{(4,5),(3, 5),(2,2),(0,-3),(-1, 8)}           {4, 3, 2, 0, -1}    {5, 2, -3, 8}        Yes

{(3,5),(4,7),(4,8),(6,10), (6, 12)}          {3, 4, 4, 6, 6} {5, 7, 8, 10, 12}         No

{(4,5),(3, 7), (1,2),(1, -3),(-2, -3)}        {4, 3, 1, 1, -2}    {5, 7, 2, -3}        No

{(3,11),(4,7),(-4, 9),(6,12), (-3, 14)}      {3, 4, -4, 6, -3} {11, 7, 9, 12, 14}      Yes

{(4, 5),(5, 7),(1, - 3),(-2, - 3), (5, 2)}   {4, 5, 1, -2, 5}    {5, 7, -3, 2}         No

{(2,8),(3,7),(4,6),(5,5), (6, 4)}            {2, 3, 4, 5, 6}      {8, 7, 6, 5, 4}      Yes
Write a Rule….
                                                                    Use this
                 Find the                 Find the             information to find
               change in “y”            change in “x”             the slope (m)

 We Need a     -2 3 8 13              -10 0 10 20
  Table…                                                             Use
              Increasing by “5”       Increasing by “10”          Division…
x       y
              What is the change in   What is the change in
                       “y”?                   “x”?                5
-10     -2                                                             =       1
                       5                      10                 10            2
0       3                                             What is the “y-intercept”?
               What ordered pair
                Would You Use to        (0, 3)
10      8     find the “y-intercept                              b=3
                             1
20     13       m =          2                                b = 3
                 Rule:                   y = 1x + 3
                                             2
Write a Rule….
                                                                   Use this
                Find the                 Find the             information to find
              change in “y”            change in “x”             the slope (m)

We Need a    -10 0 10 20              -5 0 5 10
 Table…                                                              Use
             Increasing by “10”      Increasing by “5”            Division…
x      y
             What is the change in   What is the change in
                      “y”?                   “x”?                 10
-5    -10                                                              =      2
                     10                       5                   5
0      0                                             What is the “y-intercept”?
              What ordered pair
               Would You Use to        (0, 0)
5     10     find the “y-intercept                                b=0
10    20       m = 2                                         b = 0
             Rule:              y = 2x + 0                   or        y = 2x
Write a Rule….
                                                                   Use this
                Find the                 Find the             information to find
              change in “y”            change in “x”             the slope (m)

We Need a     9 5 1 -3                  0 2 4 6
 Table…                                                             Use
             Decreasing by “4”       Increasing by “2”           Division…
x      y
             What is the change in   What is the change in
                      “y”?                   “x”?              -4
0      9                                                              =      -2
                    -4                        2                  2
2      5                                             What is the “y-intercept”?
              What ordered pair
               Would You Use to        (0, 9)
4      1     find the “y-intercept                              b=9
6      -3      m = -2                                        b = 9
                Rule:                   y = -2x + 9
Write a Rule….                                         Use this
                Find the                 Find the             information to find
              change in “y”            change in “x”             the slope (m)

We Need a     -7 0 7 14               -1 0 1 2
 Table…                                                             Use
             Increasing by “7”       Increasing by “1”           Division…
x      y
             What is the change in   What is the change in
                      “y”?                   “x”?                7
-1     -7                                                             =       7
                      7                       1                  1
0      0                                             What is the “y-intercept”?
              What ordered pair
               Would You Use to        (0, 0)
1      7     find the “y-intercept                              b=0
2     14       m = 7                                         b = 0
                                                       7
                Rule:                          y =     5
Write a Rule….                                         Use this
                Find the                 Find the             information to find
              change in “y”            change in “x”             the slope (m)

We Need a    -2 -5 -8 -11             -2 0 2 4
 Table…                                                             Use
             Decreasing by “3”        Increasing by “2           Division…
x      y
             What is the change in   What is the change in
                      “y”?                   “x”?               -3
-2     -2                                                                    -3
                                                                      =
                    -3                        2                  2            2
0      -5                                            What is the “y-intercept”?
              What ordered pair
               Would You Use to       (0, -5)
2      -8    find the “y-intercept                             b = -5
                          -3
4     -11      m =         2                                 b = -5
                                                                 3
                Rule:                              y=- x-5       2
Write a Rule….
                                                                   Use this
                Find the                 Find the             information to find
              change in “y”            change in “x”             the slope (m)

We Need a      7 2 -3 -8              -6 0 6 12
 Table…                                                             Use
             Decreasing by “5”        Increasing by “6”          Division…
x      y
             What is the change in   What is the change in
                      “y”?                   “x”?               -5
-6     7                                                                     -5
                                                                      =
                    -5                        6                  6            6
0      2                                             What is the “y-intercept”?
              What ordered pair
               Would You Use to        (0, 2)
6      -3    find the “y-intercept                              b=2
                          -5
12     -8      m =         6                                 b =       2
                                                                 5
                Rule:                              y=- x+2       6
Graph the System
3y = 3x + 15                    2y = -4x + 16

 Solve for “y”                    Solve for “y”
  y=x + 5                       y = -2x + 8
Name the slope                  Name the slope
   m = 1                           m = -2

Name y intercept               Name y intercept
    b=5                             b= 8

    Name 2                          Name 2
  Ordered Pair                    Ordered Pair


(0, 5)   (1, 6)                  (4, 0) (2, 4)

                   Intersect        (- 5, 1)
                    (0,5)
Graph the System
2y = 8x - 10                       3y = 12x + 6

  Solve for “y”                      Solve for “y”
  y = 4x - 5                        y = 4x + 2
Name the slope                     Name the slope
    m = 4                             m = 4

Name y intercept                  Name y intercept
    b=-5                               b= 2

     Name 2                            Name 2
   Ordered Pair                      Ordered Pair


(0, -5)   (1, -1)                   (0, 2) (1, 6)

                     Parallel          (- 5, 1)
                    No solution

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Power point chapter 8 test preparation

  • 1. This PowerPoint Covers about 90% of What is on the Chapter 8 Test
  • 2. Solve for “y” in terms of “x” Give 2 ordered Get “y” alone Name m and b pairs (0, -5) m = 2 2y = 4x - 10 y = 2x - 5 (1, - 3) b=-5 m = 4 (0, -3) 3y = 12x - 9 y = 4x - 3 b=-3 (1, 1) m = no slope (- 5, 0) x=-5 x=-5 b = none (- 5, 1)
  • 3. Give 2 ordered Solve for “y” Name m and b pairs (0, -1) m = 3 y = 3x - 1 y = 3x - 1 (1, 2) b=-1 m = 4 (0, -2) y = 4x – 2 y = 4x – 2 5 5 5 b=-2 (5, 2) m = -3 ( 0, 3) 3x + y = 3 y = -3x + 3 b=3 ( 1, 0)
  • 4. Give 2 ordered Solve for “y” Name m and b pairs (0, -5) m = 3 2y = 6x - 10 y = 3x - 5 (1, - 2) b=-5 m = 3 (0, -2) 4y = 12x - 8 y = 3x - 2 b=-2 (1, 1) m = no slope (- 2, 0) x=-2 x=-2 b = none (- 2, 1)
  • 5. Give 2 ordered Solve for “y” Name m and b pairs (0, -2) m = 3 y = 3x - 2 y = 3x - 2 (1, 1) b=-2 m = 3 (0, -1) y = 3x – 1 y = 3x – 1 5 5 5 b=-1 (5, 2) m = -2 ( 0, - 3) 2x + y = - 3 y = -2x - 3 b=-3 ( 1, - 5)
  • 6. Give 2 ordered Solve for “y” Name m and b pairs (0, -5) m = 4 2y = 8x - 10 y = 4x - 5 (1, - 1) b=-5 m = 2 (0, -3) 6y = 12x - 18 y = 2x - 3 b=-3 (1, -1) m = no slope ( 4, 0) x = 4 x = 4 b = none ( 4, 1)
  • 7. Give 2 ordered Solve for “y” Name m and b pairs (0, -5) m = 3 y = 3x - 5 y = 3x - 5 (1, - 2) b=-5 m = 2 (0, -1) y = 2x – 1 y = 2x – 1 5 5 5 b=-1 (5, 1) m = -4 ( 0, - 3) 4x + y = - 3 y = -4x - 3 b=-3 ( 1, - 7)
  • 8. Is Name Name This The The a Relation Domain Range Function? {(3,4),(4,6),(5,8),(6,10)} {3, 4, 5, 6} {4, 6, 8, 10} Yes {(4,5),(3, 5),(2,2),(0,-3),(-1, 8)} {4, 3, 2, 0, -1} {5, 2, -3, 8} Yes {(3,5),(4,7),(4,8),(6,10), (6, 12)} {3, 4, 4, 6, 6} {5, 7, 8, 10, 12} No {(4,5),(3, 7), (1,2),(1, -3),(-2, -3)} {4, 3, 1, 1, -2} {5, 7, 2, -3} No {(3,11),(4,7),(-4, 9),(6,12), (-3, 14)} {3, 4, -4, 6, -3} {11, 7, 9, 12, 14} Yes {(4, 5),(5, 7),(1, - 3),(-2, - 3), (5, 2)} {4, 5, 1, -2, 5} {5, 7, -3, 2} No {(2,8),(3,7),(4,6),(5,5), (6, 4)} {2, 3, 4, 5, 6} {8, 7, 6, 5, 4} Yes
  • 9. Write a Rule…. Use this Find the Find the information to find change in “y” change in “x” the slope (m) We Need a -2 3 8 13 -10 0 10 20 Table… Use Increasing by “5” Increasing by “10” Division… x y What is the change in What is the change in “y”? “x”? 5 -10 -2 = 1 5 10 10 2 0 3 What is the “y-intercept”? What ordered pair Would You Use to (0, 3) 10 8 find the “y-intercept b=3 1 20 13 m = 2 b = 3 Rule: y = 1x + 3 2
  • 10. Write a Rule…. Use this Find the Find the information to find change in “y” change in “x” the slope (m) We Need a -10 0 10 20 -5 0 5 10 Table… Use Increasing by “10” Increasing by “5” Division… x y What is the change in What is the change in “y”? “x”? 10 -5 -10 = 2 10 5 5 0 0 What is the “y-intercept”? What ordered pair Would You Use to (0, 0) 5 10 find the “y-intercept b=0 10 20 m = 2 b = 0 Rule: y = 2x + 0 or y = 2x
  • 11. Write a Rule…. Use this Find the Find the information to find change in “y” change in “x” the slope (m) We Need a 9 5 1 -3 0 2 4 6 Table… Use Decreasing by “4” Increasing by “2” Division… x y What is the change in What is the change in “y”? “x”? -4 0 9 = -2 -4 2 2 2 5 What is the “y-intercept”? What ordered pair Would You Use to (0, 9) 4 1 find the “y-intercept b=9 6 -3 m = -2 b = 9 Rule: y = -2x + 9
  • 12. Write a Rule…. Use this Find the Find the information to find change in “y” change in “x” the slope (m) We Need a -7 0 7 14 -1 0 1 2 Table… Use Increasing by “7” Increasing by “1” Division… x y What is the change in What is the change in “y”? “x”? 7 -1 -7 = 7 7 1 1 0 0 What is the “y-intercept”? What ordered pair Would You Use to (0, 0) 1 7 find the “y-intercept b=0 2 14 m = 7 b = 0 7 Rule: y = 5
  • 13. Write a Rule…. Use this Find the Find the information to find change in “y” change in “x” the slope (m) We Need a -2 -5 -8 -11 -2 0 2 4 Table… Use Decreasing by “3” Increasing by “2 Division… x y What is the change in What is the change in “y”? “x”? -3 -2 -2 -3 = -3 2 2 2 0 -5 What is the “y-intercept”? What ordered pair Would You Use to (0, -5) 2 -8 find the “y-intercept b = -5 -3 4 -11 m = 2 b = -5 3 Rule: y=- x-5 2
  • 14. Write a Rule…. Use this Find the Find the information to find change in “y” change in “x” the slope (m) We Need a 7 2 -3 -8 -6 0 6 12 Table… Use Decreasing by “5” Increasing by “6” Division… x y What is the change in What is the change in “y”? “x”? -5 -6 7 -5 = -5 6 6 6 0 2 What is the “y-intercept”? What ordered pair Would You Use to (0, 2) 6 -3 find the “y-intercept b=2 -5 12 -8 m = 6 b = 2 5 Rule: y=- x+2 6
  • 15. Graph the System 3y = 3x + 15 2y = -4x + 16 Solve for “y” Solve for “y” y=x + 5 y = -2x + 8 Name the slope Name the slope m = 1 m = -2 Name y intercept Name y intercept b=5 b= 8 Name 2 Name 2 Ordered Pair Ordered Pair (0, 5) (1, 6) (4, 0) (2, 4) Intersect (- 5, 1) (0,5)
  • 16. Graph the System 2y = 8x - 10 3y = 12x + 6 Solve for “y” Solve for “y” y = 4x - 5 y = 4x + 2 Name the slope Name the slope m = 4 m = 4 Name y intercept Name y intercept b=-5 b= 2 Name 2 Name 2 Ordered Pair Ordered Pair (0, -5) (1, -1) (0, 2) (1, 6) Parallel (- 5, 1) No solution