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Ch2.5_Multi­step_Equations.notebook                              September 15, 2011




                Chapter 2.5
                Solving Multi­Step Equations




                           Like Terms
                  Combine terms that have the same variables

          7 apples + 2 bananas + 3 oranges ­ 2 apples + 1 orange ­ 1 banana




                7x + 3y + 1 ­ 4z + 8y ­ x + 2z ­ 4




                                                                                      1
Ch2.5_Multi­step_Equations.notebook                    September 15, 2011


            2.5 Multi­Step Equations

                  If there are (), then you
                  will have to distribute
                 On each side, add like terms
                  Move variables to one side and
                  constants to the other side
                 Divide or multiply to solve for the
                 variable.
                check your work! (plug back in)




                             Example
                Solve for x
                       x + 5 = 2x + 3




                                                                            2
Ch2.5_Multi­step_Equations.notebook        September 15, 2011




                             Example
                Solve for y
                       3(2 + y) = 2y + 7




                             Example
                Solve for x
              2(x ­ 3) + 4= x + 8




                                                                3
Ch2.5_Multi­step_Equations.notebook        September 15, 2011




                             Example
                Solve for x
              1
                (4x­10) + 3x= ­5(x ­ 2) + 15
              2




                             Example
                Solve for r
                          ­28 = 3r ­ 7




                                                                4
Ch2.5_Multi­step_Equations.notebook          September 15, 2011




                             Example
                Solve for a
             9(a + 4) ­ 2a = 19 ­ 3(a + 6)




                         Page 74
                         2­7 all
                         12­30 evens



                                                                  5

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Ch2.5 Multi-Step Equations

  • 1. Ch2.5_Multi­step_Equations.notebook September 15, 2011 Chapter 2.5 Solving Multi­Step Equations Like Terms Combine terms that have the same variables 7 apples + 2 bananas + 3 oranges ­ 2 apples + 1 orange ­ 1 banana 7x + 3y + 1 ­ 4z + 8y ­ x + 2z ­ 4 1
  • 2. Ch2.5_Multi­step_Equations.notebook September 15, 2011 2.5 Multi­Step Equations If there are (), then you will have to distribute On each side, add like terms Move variables to one side and constants to the other side Divide or multiply to solve for the variable. check your work! (plug back in) Example Solve for x x + 5 = 2x + 3 2
  • 3. Ch2.5_Multi­step_Equations.notebook September 15, 2011 Example Solve for y 3(2 + y) = 2y + 7 Example Solve for x 2(x ­ 3) + 4= x + 8 3
  • 4. Ch2.5_Multi­step_Equations.notebook September 15, 2011 Example Solve for x 1    (4x­10) + 3x= ­5(x ­ 2) + 15 2 Example Solve for r  ­28 = 3r ­ 7 4
  • 5. Ch2.5_Multi­step_Equations.notebook September 15, 2011 Example Solve for a 9(a + 4) ­ 2a = 19 ­ 3(a + 6) Page 74 2­7 all 12­30 evens 5