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AIM: Solving Multi-
Step Equations by
Combining Like Terms
                       Do Now



       Basic Skills Quiz #7




                                1
Basic Skills Quiz #7
1.) Subtract and write your answer in simplest form.

           5   -   3   3
                       8

 2.) Complete the following decimal operation.

               15.84 - 1.257

 3.) What is the Greatest Common Factor of 12 and 30?


 4.) What is the theoretical probability of rolling a
 number greater than 4 on a fair number cube?


 5.) Round the following to the nearest hundredth.

                 1234.5678




                                                        2
Homework: Pages 566-567 #1-3 all, 8, 9, 45




                                             3
Anticipatory Set
1.) Find, explain, and correct the mistake in the
following example.


        -9x - 4 + 7x + 10 = -20
                 -2x - 6 = -20
                       +6 +6
                      -2x = -14
                     -2 -2
                        x=7




                                                    4
1    
                  ALGEBRA
                 The Search for Unknowns
    Objective:   Isolate the variable to find its value


                      RULES
             1.) Keep the equation balanced
           2.) Simplify by combining like terms.
                3.) Use inverse operations




           7p - 6 + 4p = -39




                                                          5
2    
                  ALGEBRA
                 The Search for Unknowns
    Objective:   Isolate the variable to find its value


                      RULES
             1.) Keep the equation balanced
           2.) Simplify by combining like terms.
                3.) Use inverse operations




                       28 = 16y - 4 - 8y




                                                          6
3    
                  ALGEBRA
                 The Search for Unknowns
    Objective:   Isolate the variable to find its value


                      RULES
             1.) Keep the equation balanced
           2.) Simplify by combining like terms.
                3.) Use inverse operations




          -5x + 9 + 2x = -30




                                                          7
4    
                  ALGEBRA
                 The Search for Unknowns
    Objective:   Isolate the variable to find its value


                      RULES
             1.) Keep the equation balanced
           2.) Simplify by combining like terms.
                3.) Use inverse operations




         8a - 9 - 2 - a = 24




                                                          8
5    
                  ALGEBRA
                 The Search for Unknowns
    Objective:   Isolate the variable to find its value


                      RULES
             1.) Keep the equation balanced
           2.) Simplify by combining like terms.
                3.) Use inverse operations




              100 - 40 = -2x - 2 - 4x + 20




                                                          9
6    
                  ALGEBRA
                 The Search for Unknowns
    Objective:   Isolate the variable to find its value


                      RULES
             1.) Keep the equation balanced
           2.) Simplify by combining like terms.
                3.) Use inverse operations




          -2z + 5 + 4z = 6




                                                          10
7    
                     ALGEBRA
                   The Search for Unknowns
    Objective:      Isolate the variable to find its value


                         RULES
                1.) Keep the equation balanced
              2.) Simplify by combining like terms.
                   3.) Use inverse operations




        9m - 6 + 16 - 14m = -5




                                                             11
Tiffany works at Carrabra‛s Restaurant. She works an equal
number of hours on Friday night and on Saturday night. On
Friday night, Tiffany waitresses at the restaurant earning $8
an hour plus $61 in tips. On Saturday, she works as a hostess
earning $10 an hour. Last weekend, Tiffany earned a total of
$187. How many hours did Tiffany work on Friday night as a
waitress at Carrabra‛s Restaurant?

          Let x = ______________




                                                                12
Before You Leave
Explain, in complete sentences, how you simplify a
multistep equation into a two-step equation.




                                                     13
Mr. Tjersland's Math 7




Homework: Homework Sheet




                                 14
AIM: Solving Multi-Step Equations
by Combining Like Terms




        9m - 6 + 16 - 14m = -5




                                    15
9m - 6 + 16 - 14m = -5




                         16
8a - 9 - 2 - a = 24




                      17

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Day 6 combining like terms equations day 2

  • 1. AIM: Solving Multi- Step Equations by Combining Like Terms Do Now Basic Skills Quiz #7 1
  • 2. Basic Skills Quiz #7 1.) Subtract and write your answer in simplest form. 5 - 3 3 8 2.) Complete the following decimal operation. 15.84 - 1.257 3.) What is the Greatest Common Factor of 12 and 30? 4.) What is the theoretical probability of rolling a number greater than 4 on a fair number cube? 5.) Round the following to the nearest hundredth. 1234.5678 2
  • 3. Homework: Pages 566-567 #1-3 all, 8, 9, 45 3
  • 4. Anticipatory Set 1.) Find, explain, and correct the mistake in the following example. -9x - 4 + 7x + 10 = -20 -2x - 6 = -20 +6 +6 -2x = -14 -2 -2 x=7 4
  • 5. 1   ALGEBRA The Search for Unknowns Objective: Isolate the variable to find its value RULES 1.) Keep the equation balanced 2.) Simplify by combining like terms. 3.) Use inverse operations 7p - 6 + 4p = -39 5
  • 6. 2   ALGEBRA The Search for Unknowns Objective: Isolate the variable to find its value RULES 1.) Keep the equation balanced 2.) Simplify by combining like terms. 3.) Use inverse operations 28 = 16y - 4 - 8y 6
  • 7. 3   ALGEBRA The Search for Unknowns Objective: Isolate the variable to find its value RULES 1.) Keep the equation balanced 2.) Simplify by combining like terms. 3.) Use inverse operations -5x + 9 + 2x = -30 7
  • 8. 4   ALGEBRA The Search for Unknowns Objective: Isolate the variable to find its value RULES 1.) Keep the equation balanced 2.) Simplify by combining like terms. 3.) Use inverse operations 8a - 9 - 2 - a = 24 8
  • 9. 5   ALGEBRA The Search for Unknowns Objective: Isolate the variable to find its value RULES 1.) Keep the equation balanced 2.) Simplify by combining like terms. 3.) Use inverse operations 100 - 40 = -2x - 2 - 4x + 20 9
  • 10. 6   ALGEBRA The Search for Unknowns Objective: Isolate the variable to find its value RULES 1.) Keep the equation balanced 2.) Simplify by combining like terms. 3.) Use inverse operations -2z + 5 + 4z = 6 10
  • 11. 7   ALGEBRA The Search for Unknowns Objective: Isolate the variable to find its value RULES 1.) Keep the equation balanced 2.) Simplify by combining like terms. 3.) Use inverse operations 9m - 6 + 16 - 14m = -5 11
  • 12. Tiffany works at Carrabra‛s Restaurant. She works an equal number of hours on Friday night and on Saturday night. On Friday night, Tiffany waitresses at the restaurant earning $8 an hour plus $61 in tips. On Saturday, she works as a hostess earning $10 an hour. Last weekend, Tiffany earned a total of $187. How many hours did Tiffany work on Friday night as a waitress at Carrabra‛s Restaurant? Let x = ______________ 12
  • 13. Before You Leave Explain, in complete sentences, how you simplify a multistep equation into a two-step equation. 13
  • 14. Mr. Tjersland's Math 7 Homework: Homework Sheet 14
  • 15. AIM: Solving Multi-Step Equations by Combining Like Terms 9m - 6 + 16 - 14m = -5 15
  • 16. 9m - 6 + 16 - 14m = -5 16
  • 17. 8a - 9 - 2 - a = 24 17