OBJECTIVE:            How do we solve
two-step equations involving fractions
and decimals?
                                         Do Now

   Solve the following equations.


1.) x + 1                      3                     1        3
                         =                  2.) -3     x = -2
        3                      4                     2        5




                                                                  1
2
3
Anticipatory Set
How do you think fractions and decimals will impact the
procedures for solving two-step equations.




                                                          4
ALGEBRA
               The Search for Unknowns
Objective:      Isolate the variable to find its value


                     RULES
            1.) Keep the equation balanced
     2.) Simplify each side by combining like terms and
               using the distributive property.
  3.) Move variable to one side using inverse operations.
                4.) Use inverse operations



              1 x + 13 20
                      =
              6




                                                            5
ALGEBRA
               The Search for Unknowns
Objective:      Isolate the variable to find its value


                     RULES
            1.) Keep the equation balanced
     2.) Simplify each side by combining like terms and
               using the distributive property.
  3.) Move variable to one side using inverse operations.
                4.) Use inverse operations



              3 p-7
                    = 11
              4




                                                            6
ALGEBRA
               The Search for Unknowns
Objective:      Isolate the variable to find its value


                     RULES
            1.) Keep the equation balanced
     2.) Simplify each side by combining like terms and
               using the distributive property.
  3.) Move variable to one side using inverse operations.
                4.) Use inverse operations



              2 x+2 = 3
              5       4




                                                            7
ALGEBRA
               The Search for Unknowns
Objective:      Isolate the variable to find its value


                     RULES
            1.) Keep the equation balanced
     2.) Simplify each side by combining like terms and
               using the distributive property.
  3.) Move variable to one side using inverse operations.
                4.) Use inverse operations



         2x            1
                         = -8
         5             6




                                                            8
ALGEBRA
               The Search for Unknowns
Objective:      Isolate the variable to find its value


                     RULES
            1.) Keep the equation balanced
     2.) Simplify each side by combining like terms and
               using the distributive property.
  3.) Move variable to one side using inverse operations.
                4.) Use inverse operations



            5    3    1
              n-    =
            7    14   2




                                                            9
ALGEBRA
               The Search for Unknowns
Objective:      Isolate the variable to find its value


                     RULES
            1.) Keep the equation balanced
     2.) Simplify each side by combining like terms and
               using the distributive property.
  3.) Move variable to one side using inverse operations.
                4.) Use inverse operations



                      3   13    7
                        =    e-
                      5   30    10




                                                            10
3   13    7
  =    e-
5   30    10




               11
ALGEBRA
               The Search for Unknowns
Objective:      Isolate the variable to find its value


                     RULES
            1.) Keep the equation balanced
     2.) Simplify each side by combining like terms and
               using the distributive property.
  3.) Move variable to one side using inverse operations.
                4.) Use inverse operations



            1 m+ 1   4
                   =
            3    6   9




                                                            12
ALGEBRA
               The Search for Unknowns
Objective:      Isolate the variable to find its value


                     RULES
            1.) Keep the equation balanced
     2.) Simplify each side by combining like terms and
               using the distributive property.
  3.) Move variable to one side using inverse operations.
                4.) Use inverse operations



            2 x- 7   7
                   =
            3    6   2




                                                            13
ALGEBRA
               The Search for Unknowns
Objective:      Isolate the variable to find its value


                     RULES
            1.) Keep the equation balanced
     2.) Simplify each side by combining like terms and
               using the distributive property.
  3.) Move variable to one side using inverse operations.
                4.) Use inverse operations



              1 x-1   5
                    =
              3       6




                                                            14
ALGEBRA
                The Search for Unknowns
Objective:      Isolate the variable to find its value


                      RULES
            1.) Keep the equation balanced
     2.) Simplify each side by combining like terms and
               using the distributive property.
  3.) Move variable to one side using inverse operations.
                4.) Use inverse operations



          -2y          9
                  +       = 2
            3          10




                                                            15
ALGEBRA
               The Search for Unknowns
Objective:      Isolate the variable to find its value


                     RULES
            1.) Keep the equation balanced
     2.) Simplify each side by combining like terms and
               using the distributive property.
  3.) Move variable to one side using inverse operations.
                4.) Use inverse operations




                   -15.3 = -7.5x + 55.2




                                                            16
ALGEBRA
               The Search for Unknowns
Objective:      Isolate the variable to find its value


                     RULES
            1.) Keep the equation balanced
     2.) Simplify each side by combining like terms and
               using the distributive property.
  3.) Move variable to one side using inverse operations.
                4.) Use inverse operations




   9.95 + 0.0035x = 12.75




                                                            17
Before You Leave
For local telephone service, the McNeils pay $9.95 per month
plus $0.35 per minute for local calls. Last month, the paid
$12.75 for local service. Write and solve an equation to find
the minutes, m, of local calls.




                                                                18
Mr. Tjersland's Math 7




Homework: Finish Class Notes




                                  19

Day 4 fraction two step

  • 1.
    OBJECTIVE: How do we solve two-step equations involving fractions and decimals? Do Now Solve the following equations. 1.) x + 1 3 1 3 = 2.) -3 x = -2 3 4 2 5 1
  • 2.
  • 3.
  • 4.
    Anticipatory Set How doyou think fractions and decimals will impact the procedures for solving two-step equations. 4
  • 5.
    ALGEBRA The Search for Unknowns Objective: Isolate the variable to find its value RULES 1.) Keep the equation balanced 2.) Simplify each side by combining like terms and using the distributive property. 3.) Move variable to one side using inverse operations. 4.) Use inverse operations 1 x + 13 20 = 6 5
  • 6.
    ALGEBRA The Search for Unknowns Objective: Isolate the variable to find its value RULES 1.) Keep the equation balanced 2.) Simplify each side by combining like terms and using the distributive property. 3.) Move variable to one side using inverse operations. 4.) Use inverse operations 3 p-7 = 11 4 6
  • 7.
    ALGEBRA The Search for Unknowns Objective: Isolate the variable to find its value RULES 1.) Keep the equation balanced 2.) Simplify each side by combining like terms and using the distributive property. 3.) Move variable to one side using inverse operations. 4.) Use inverse operations 2 x+2 = 3 5 4 7
  • 8.
    ALGEBRA The Search for Unknowns Objective: Isolate the variable to find its value RULES 1.) Keep the equation balanced 2.) Simplify each side by combining like terms and using the distributive property. 3.) Move variable to one side using inverse operations. 4.) Use inverse operations 2x 1 = -8 5 6 8
  • 9.
    ALGEBRA The Search for Unknowns Objective: Isolate the variable to find its value RULES 1.) Keep the equation balanced 2.) Simplify each side by combining like terms and using the distributive property. 3.) Move variable to one side using inverse operations. 4.) Use inverse operations 5 3 1 n- = 7 14 2 9
  • 10.
    ALGEBRA The Search for Unknowns Objective: Isolate the variable to find its value RULES 1.) Keep the equation balanced 2.) Simplify each side by combining like terms and using the distributive property. 3.) Move variable to one side using inverse operations. 4.) Use inverse operations 3 13 7 = e- 5 30 10 10
  • 11.
    3 13 7 = e- 5 30 10 11
  • 12.
    ALGEBRA The Search for Unknowns Objective: Isolate the variable to find its value RULES 1.) Keep the equation balanced 2.) Simplify each side by combining like terms and using the distributive property. 3.) Move variable to one side using inverse operations. 4.) Use inverse operations 1 m+ 1 4 = 3 6 9 12
  • 13.
    ALGEBRA The Search for Unknowns Objective: Isolate the variable to find its value RULES 1.) Keep the equation balanced 2.) Simplify each side by combining like terms and using the distributive property. 3.) Move variable to one side using inverse operations. 4.) Use inverse operations 2 x- 7 7 = 3 6 2 13
  • 14.
    ALGEBRA The Search for Unknowns Objective: Isolate the variable to find its value RULES 1.) Keep the equation balanced 2.) Simplify each side by combining like terms and using the distributive property. 3.) Move variable to one side using inverse operations. 4.) Use inverse operations 1 x-1 5 = 3 6 14
  • 15.
    ALGEBRA The Search for Unknowns Objective: Isolate the variable to find its value RULES 1.) Keep the equation balanced 2.) Simplify each side by combining like terms and using the distributive property. 3.) Move variable to one side using inverse operations. 4.) Use inverse operations -2y 9 + = 2 3 10 15
  • 16.
    ALGEBRA The Search for Unknowns Objective: Isolate the variable to find its value RULES 1.) Keep the equation balanced 2.) Simplify each side by combining like terms and using the distributive property. 3.) Move variable to one side using inverse operations. 4.) Use inverse operations -15.3 = -7.5x + 55.2 16
  • 17.
    ALGEBRA The Search for Unknowns Objective: Isolate the variable to find its value RULES 1.) Keep the equation balanced 2.) Simplify each side by combining like terms and using the distributive property. 3.) Move variable to one side using inverse operations. 4.) Use inverse operations 9.95 + 0.0035x = 12.75 17
  • 18.
    Before You Leave Forlocal telephone service, the McNeils pay $9.95 per month plus $0.35 per minute for local calls. Last month, the paid $12.75 for local service. Write and solve an equation to find the minutes, m, of local calls. 18
  • 19.
    Mr. Tjersland's Math7 Homework: Finish Class Notes 19