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Combining Like Terms
Like Terms Numbers Identical variables – variable is exact same letter and exponent is exactly the same x is not the same x 2
Step 1 Use different shapes or colors to help you identify the different terms Step 2 Combine the like terms For variables you add the coefficients Step 3 Solve for the variable if there is an equal sign
How Many? x  +  2x -x  +  -2x x  -  2x -x  -  -2x
Combine Terms 7x – 5y – 4x + 3y 7x   – 5y   – 4x   + 3y 3x   – 2y
Combine Terms 2c – 3 + 9d + 7 - 6d 2c   – 3   + 9d   + 7   - 6d 2c   + 4   + 3d
Combine Terms 7 – 5c – d + 9c + 2 7   – 5c   – d   + 9c   + 2 9   + 4c   – d
Combine Terms & Solve 2n + 3n +7 = -41 5n +7 = -41 5n = -48 n = -48/5
Combine Terms & Solve 3h – 5h + 11 = 17 -2h + 11 = 17 -2h = 6 h = -3
Review How do you determine if terms are “Like”? What are the steps to combine terms?

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Combining Like Terms

  • 2. Like Terms Numbers Identical variables – variable is exact same letter and exponent is exactly the same x is not the same x 2
  • 3. Step 1 Use different shapes or colors to help you identify the different terms Step 2 Combine the like terms For variables you add the coefficients Step 3 Solve for the variable if there is an equal sign
  • 4. How Many? x + 2x -x + -2x x - 2x -x - -2x
  • 5. Combine Terms 7x – 5y – 4x + 3y 7x – 5y – 4x + 3y 3x – 2y
  • 6. Combine Terms 2c – 3 + 9d + 7 - 6d 2c – 3 + 9d + 7 - 6d 2c + 4 + 3d
  • 7. Combine Terms 7 – 5c – d + 9c + 2 7 – 5c – d + 9c + 2 9 + 4c – d
  • 8. Combine Terms & Solve 2n + 3n +7 = -41 5n +7 = -41 5n = -48 n = -48/5
  • 9. Combine Terms & Solve 3h – 5h + 11 = 17 -2h + 11 = 17 -2h = 6 h = -3
  • 10. Review How do you determine if terms are “Like”? What are the steps to combine terms?