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Solving Equations by
Combining Like Terms
   Middle School Math

   Melanie Wiscount
Our Equation


7x – 2x2 – 5x – 4 + 6x2 +7
First Step

   Place Like Terms Together
  7x – 2x2 – 5x – 4 + 6x2 + 7
+7x – 2x2 – 5x – 4 + 6x2 + 7
Second Step

    Add & Subtract Like Terms




– 2x2 + 6x2 +7x – 5x – 4 + 7
Second Step
    Add & Subtract Like Terms

– 2x2 + 6x2 +7x – 5x – 4 + 7

             +2x      +3
   + 4x2
Final Step
Write equation from largest degree of
    variable, in alphabetic order
   and omit starting positive sign
    ...
Solving Equations by
  Combining Like Terms
7x – 2x2 – 5x – 4 + 6x2 + 7

     4x2 +2x + 3
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Solving Equations by Combining Like Terms

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This is one of the elements in my web-based project for Wilkes ED633.

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Solving Equations by Combining Like Terms

  1. 1. Solving Equations by Combining Like Terms Middle School Math Melanie Wiscount
  2. 2. Our Equation 7x – 2x2 – 5x – 4 + 6x2 +7
  3. 3. First Step Place Like Terms Together 7x – 2x2 – 5x – 4 + 6x2 + 7 +7x – 2x2 – 5x – 4 + 6x2 + 7
  4. 4. Second Step Add & Subtract Like Terms – 2x2 + 6x2 +7x – 5x – 4 + 7
  5. 5. Second Step Add & Subtract Like Terms – 2x2 + 6x2 +7x – 5x – 4 + 7 +2x +3 + 4x2
  6. 6. Final Step Write equation from largest degree of variable, in alphabetic order and omit starting positive sign (if negative, would not omit from equation) Largest degree of x + 4x2 +2x + 3
  7. 7. Solving Equations by Combining Like Terms 7x – 2x2 – 5x – 4 + 6x2 + 7 4x2 +2x + 3

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