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9.10: Chapter 9 Test

Difficulty Level: At Grade Created by: CK-12

Simplify the following expressions.

  1. \begin{align*}(4x^2+5x+1)-(2x^2-x-3)\end{align*}
  2. \begin{align*}(2x+5)-(x^2+3x-4)\end{align*}
  3. \begin{align*}(b+4c)+(6b+2c+3d)\end{align*}
  4. \begin{align*}(5x^2+3x+3)+(3x^2-6x+4)\end{align*}
  5. \begin{align*}(3x+4)(x-5)\end{align*}
  6. \begin{align*}(9x^2+2)(x-3)\end{align*}
  7. \begin{align*}(4x+3)(8x^2+2x+7)\end{align*}

Factor the following expressions.

  1. \begin{align*}27x^2-18x+3\end{align*}
  2. \begin{align*}9n^2-100\end{align*}
  3. \begin{align*}648x^2-32\end{align*}
  4. \begin{align*}81p^2-90p+25\end{align*}
  5. \begin{align*}6x^2-35x+49\end{align*}

Solve the following problems.

  1. A rectangle has sides of \begin{align*}x+7\end{align*} and \begin{align*}x-5\end{align*}. What value of \begin{align*}x\end{align*} 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. \begin{align*}P(A \cup B)\end{align*}
    2. \begin{align*}P(A \cap B)\end{align*}
  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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