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Algebraic Expression Simplification

Enhance your algebra skills by practicing the simplification of algebraic expressions. This exercise focuses on applying the distributive property, commutative property, associative property, and various identities. You'll rewrite expressions without simplifying, allowing you to build a solid foundation in algebraic manipulation. Engage with diverse expressions like (3(11 + 12)), (2(6 + 9)), and explore fundamental properties to understand how to simplify complex expressions effectively.

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Algebraic Expression Simplification

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  1. Algebraic Expression Simplification Objective: To practice simplifying algebraic expressions

  2. Directions: Restate each expression using the distributive property.

  3. 3(11 + 12)

  4. 6t + 11t

  5. 2r + 12s

  6. (9 + 8)v

  7. (4x + 9y)2

  8. 3ab + 6a

  9. 4(x + 3)

  10. 2(6 + 9)

  11. Directions: Rewrite each expression using a commutative property. Do not simplify.

  12. 5 + 9

  13. 9 + 18y

  14. A + B

  15. 8 + 4h

  16. 0 + 22

  17. 5c + 9d

  18. 15 + 19

  19. 5m + 9n

  20. 25 + 19

  21. Directions: Rewrite each expression using a associative property. Do not simplify.

  22. (b . 6) . 5

  23. 25 + (19 + m)

  24. (P . 7) . 4

  25. n . (6 . 5)

  26. (15 + 4w) + w

  27. a(b0)

  28. 7(6z)

  29. 2 + (5 + 1)

  30. (2 + 3) + 19

  31. Directions: Rewrite each expression using the identity property of addition, identity property of multiplication, or the multiplicative property of zero.

  32. b . 0

  33. b + 0

  34. 0 + 1

  35. 1 . 0

  36. Q . 1

  37. 1 . azb

  38. azb . 0

  39. (6 . 5) + 0

  40. (b . 6) . 1

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