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AIM: Solving Fractional Equations
with Variables on Both Sides

                        Do Now



               Weekly Quiz #9




                                    1
2
              x + 1 + 2x = -5
            5     3




         3 - 1 x + 6x = 2
             4     8    6




              Before You Leave
Your first three test grades were 70, 85, 90. What must
your score be on the next test to guarantee at least an 85
for the third quarter? Write and solve an inequality for
this situation




                                                             2
Anticipatory Set
Describe the following in a complete sentence: How would you
deal with the variables on both sides in the following equation?


                    2m        m
                       + 17 =   -7
                     5        2




                                                                   3
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




                                                            4
1    




        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




                                                            6
2    




        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




                                                            8
3    




        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



                1         w
                  w + 5 = 3 + 10
                4




                                                            10
4    
        1         w
          w + 5 = 3 + 10
        4




                           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          1
                 y + 11 = 2 y - 3
               3




                                                            12
5    
        1         1
          y + 11 = y - 3
        3         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




            0.6x + 44 = 0.48k + 8




                                                            14
6    
        0.6x + 44 = 0.48k + 8




                                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



               2 z - 15 = 1 z + 10
               5          2




                                                            16
7    
        2 z - 15 = 1 z + 10
        5          2




                              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




    0.25m + 56.75 = 3.2m - 12.35

Round answer to the hundredth




                                                            18
8        Round answer to the hundredth


        0.25m + 56.75 = 3.2m - 12.35




                                         19
BEFORE YOU LEAVE
OBJECTIVE:            How do we        1.) How would you explain
solve equations involving fractions?
                                       today's lesson to a student who
                                       was absent today?



                                       2.) What difficulties do you think
                                       they will experience?




                                                                            20
Mr. Tjersland's Math 7




Homework: Finish Class Notes




                                  21
AIM: Solving Fractional Equations
with Variables on Both Sides




             1         w
               w + 5 = 3 + 10
             4




                                    22

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Day 12 variables on both sides fractions

  • 1. AIM: Solving Fractional Equations with Variables on Both Sides Do Now Weekly Quiz #9 1
  • 2. 2 x + 1 + 2x = -5 5 3 3 - 1 x + 6x = 2 4 8 6 Before You Leave Your first three test grades were 70, 85, 90. What must your score be on the next test to guarantee at least an 85 for the third quarter? Write and solve an inequality for this situation 2
  • 3. Anticipatory Set Describe the following in a complete sentence: How would you deal with the variables on both sides in the following equation? 2m m + 17 = -7 5 2 3
  • 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 4
  • 5. 1   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 6
  • 7. 2   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 8
  • 9. 3   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 1 w w + 5 = 3 + 10 4 10
  • 11. 4   1 w w + 5 = 3 + 10 4 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 1 y + 11 = 2 y - 3 3 12
  • 13. 5   1 1 y + 11 = y - 3 3 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 0.6x + 44 = 0.48k + 8 14
  • 15. 6   0.6x + 44 = 0.48k + 8 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 2 z - 15 = 1 z + 10 5 2 16
  • 17. 7   2 z - 15 = 1 z + 10 5 2 17
  • 18. 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 0.25m + 56.75 = 3.2m - 12.35 Round answer to the hundredth 18
  • 19. 8   Round answer to the hundredth 0.25m + 56.75 = 3.2m - 12.35 19
  • 20. BEFORE YOU LEAVE OBJECTIVE: How do we 1.) How would you explain solve equations involving fractions? today's lesson to a student who was absent today? 2.) What difficulties do you think they will experience? 20
  • 21. Mr. Tjersland's Math 7 Homework: Finish Class Notes 21
  • 22. AIM: Solving Fractional Equations with Variables on Both Sides 1 w w + 5 = 3 + 10 4 22