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Algebra review

  1. Commutative Property of Addition
    a + b = b + a
  2. Commutative Property of Multiplication
    a • b = b • a
  3. Associative Property of Addition
    a + ( b + c ) = ( a + b ) + c
  4. Associative Property of Multiplication
    a • ( b • c ) = ( a • b ) • c
  5. Distributive Property
    a • ( b + c ) = a • b + a • c
  6. Additive Identity Property
    a + 0 = a
  7. Multiplicative Identity Property
    a • 1 = a
  8. Additive Inverse Property
    a + ( -a ) = 0
  9. Multiplicative Inverse Property
    a * (1/a) = 1

    Note: a cannot = 0
  10. Zero Property
    a • 0 = 0
  11. Add: [2^(1/3)] + [5^(1/3)]
    7^(1/3)
  12. 5^(1/3) + 2^(1/75)
    • 1. Are the radicals the same? Answer: NO
    • 2. Can we simplify either radical?
    • Answer: Yes, 2^(1/75) can be simplified.
    • 3. Simplify the radical.
    • Answer:
    • 2^(1/75)
    • 2^(1/25)*(1/3)
    • 2*5 + 2^(1/3)
    • 10 + 2^(1/3)
    • 4. Now, the radicals are the
    • same and we can add.
    • 10 + 2^(1/3) + 5^(1/3)
    • Answer:
    • 10 + 7^(1/3)
Author
converge79
ID
58067
Card Set
Algebra review
Description
Review of 9th grade math for NYS
Updated

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