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Simplify the following expressions.

  1. (4x^2+5x+1)-(2x^2-x-3)
  2. (2x+5)-(x^2+3x-4)
  3. (b+4c)+(6b+2c+3d)
  4. (5x^2+3x+3)+(3x^2-6x+4)
  5. (3x+4)(x-5)
  6. (9x^2+2)(x-3)
  7. (4x+3)(8x^2+2x+7)

Factor the following expressions.

  1. 27x^2-18x+3
  2. 9n^2-100
  3. 648x^2-32
  4. 81p^2-90p+25
  5. 6x^2-35x+49

Solve the following problems.

  1. A rectangle has sides of x+7 and x-5. What value of x gives an area of 63?
  2. The product of two positive numbers is 50. Find the two numbers if one of the numbers is 6 more than the other.
  3. Give an example of two independent events. Determine the probability of each event. Use it to find:
    1. P(A \cup B)
    2. P(A \cap B)
  1. The probability it will rain on any given day in Seattle is 45%. Find the probability that:
    1. It will rain three days in a row.
    2. It will rain one day, not the next, and rain again on the third day.

Texas Instruments Resources

In the CK-12 Texas Instruments Algebra I FlexBook, there are graphing calculator activities designed to supplement the objectives for some of the lessons in this chapter. See http://www.ck12.org/flexr/chapter/9619.

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Feb 22, 2012

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