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Combining Like Terms

Combining Like Terms. Section 1.4. Terms. Terms are separated by + and – signs in an algebraic expression (3 terms). Like Terms Unlike Terms. Like Terms. Terms that contain the same variables, with corresponding variables having the same power. Hands-On Equations.

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Combining Like Terms

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  1. Combining Like Terms Section 1.4

  2. Terms • Terms are separated by + and – signs in an algebraic expression • (3 terms)

  3. Like Terms Unlike Terms

  4. Like Terms • Terms that contain the same variables, with corresponding variables having the same power.

  5. Hands-On Equations • Blue Pawn: Positive x • White Pawn: Negative x • Green Cube: Positive numbers • Red Cube: Negative numbers

  6. Represent 3x+5+2x+2

  7. Represent 2x+3+5x-6

  8. Represent -3x+1-2x-6

  9. Represent 4x-8-5x+2

  10. Simplest Form • Contains no like terms and no parentheses.

  11. Combining Like Terms • Application of the distributive property.

  12. Coefficient • It is the numerical factor. The number being multiplied by the variable. • To combine like terms we can simply combine the coefficients of the like terms.

  13. Simplify:

  14. Simplify:

  15. Simplify:

  16. Simplify:

  17. Simplify:

  18. Simplify:

  19. Simplify:

  20. Simplify:

  21. Simplify:

  22. Homework • Worksheet

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