# 9.10: Chapter 9 Test

Difficulty Level:

**At Grade**Created by: CK-12Simplify the following expressions.

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

Factor the following expressions.

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

Solve the following problems.

- 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 45?
- The product of two positive numbers is 40. Find the two numbers if one of the numbers is 6 more than the other.
- Give an example of two independent events. Determine the probability of each event. Use it to find:
- \begin{align*}P(A \cup B)\end{align*}
- \begin{align*}P(A \cap B)\end{align*}

- The probability it will rain on any given day in Seattle is 45%. Find the probability that:
- It will rain three days in a row.
- 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® resource, 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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Date Created:

Feb 22, 2012
Last Modified:

Dec 11, 2014
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