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AIM: Solving Fractional Equations
by Combining Like Terms

                        Do Now




                                    1
3x 2x    2
                     -
                   4   3 = 5



2      3
  y+2+   y = -3
3      4




                               2
Anticipatory Set
Your grades on the first two math exams are 93 and 80. For
your mean score to be 90, what must you earn on the third
exam?
          Write and solve an equation
          for this situation.
               93          80            ?




                                                             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



          w +25 + 12
                     =7
               8




                                                            4
1  
      w +25 + 12
                 =7
           8




                      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



             x - 5 + 2 = -10
                 3




                                                            6
2  
      x - 5 + 2 = -10
          3




                        7
3  
  Your first four test grades were 85, 92, 72, 95. What
  must your score be on the next test to guarantee a 80
  for the quarter? Write and solve an equation.




                                                          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



      3k - 2 - 2 k
                   =3
      4         3




                                                            9
4  
      3k - 2 - 2 k
                   =3
      4         3




                        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



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




                                                            11
5    
        2
          x + 1 + 2x = -5
        5     3




                            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




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




                                                            13
6  
      3 - 1 x + 6x = 2
          4     8    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



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




                                                            15
7  
             1
      -6 +     x + 1 + 4x = 4
             8              6




                                16
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




                                                             17
Mr. Tjersland's Math 7




Homework: Finish Class Notes




                                  18
AIM: Solving Fractional Equations
 by Combining Like Terms


Your grades on the first two math exams are 93 and 80. For
your mean score to be 90, what must you earn on the third
exam?
          Write and solve an equation
          for this situation.




                                                             19

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Day 9 combining like terms

  • 1. AIM: Solving Fractional Equations by Combining Like Terms Do Now 1
  • 2. 3x 2x 2 - 4 3 = 5 2 3 y+2+ y = -3 3 4 2
  • 3. Anticipatory Set Your grades on the first two math exams are 93 and 80. For your mean score to be 90, what must you earn on the third exam? Write and solve an equation for this situation. 93 80 ? 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 w +25 + 12 =7 8 4
  • 5. 1   w +25 + 12 =7 8 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 x - 5 + 2 = -10 3 6
  • 7. 2   x - 5 + 2 = -10 3 7
  • 8. 3   Your first four test grades were 85, 92, 72, 95. What must your score be on the next test to guarantee a 80 for the quarter? Write and solve an equation. 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 3k - 2 - 2 k =3 4 3 9
  • 10. 4   3k - 2 - 2 k =3 4 3 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 2 x + 1 + 2x = -5 5 3 11
  • 12. 5   2 x + 1 + 2x = -5 5 3 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 3 - 1 x + 6x = 2 4 8 6 13
  • 14. 6   3 - 1 x + 6x = 2 4 8 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 1 -6 + x + 1 + 4x = 4 8 6 15
  • 16. 7   1 -6 + x + 1 + 4x = 4 8 6 16
  • 17. 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 17
  • 18. Mr. Tjersland's Math 7 Homework: Finish Class Notes 18
  • 19. AIM: Solving Fractional Equations by Combining Like Terms Your grades on the first two math exams are 93 and 80. For your mean score to be 90, what must you earn on the third exam? Write and solve an equation for this situation. 19