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# 9.10: Chapter 9 Test

Difficulty Level: At Grade Created by: CK-12

Simplify the following expressions.

1. (4x2+5x+1)(2x2x3)\begin{align*}(4x^2+5x+1)-(2x^2-x-3)\end{align*}
2. (2x+5)(x2+3x4)\begin{align*}(2x+5)-(x^2+3x-4)\end{align*}
3. (b+4c)+(6b+2c+3d)\begin{align*}(b+4c)+(6b+2c+3d)\end{align*}
4. (5x2+3x+3)+(3x26x+4)\begin{align*}(5x^2+3x+3)+(3x^2-6x+4)\end{align*}
5. (3x+4)(x5)\begin{align*}(3x+4)(x-5)\end{align*}
6. (9x2+2)(x3)\begin{align*}(9x^2+2)(x-3)\end{align*}
7. (4x+3)(8x2+2x+7)\begin{align*}(4x+3)(8x^2+2x+7)\end{align*}

Factor the following expressions.

1. 27x218x+3\begin{align*}27x^2-18x+3\end{align*}
2. 9n2100\begin{align*}9n^2-100\end{align*}
3. 648x232\begin{align*}648x^2-32\end{align*}
4. 81p290p+25\begin{align*}81p^2-90p+25\end{align*}
5. 6x235x+49\begin{align*}6x^2-35x+49\end{align*}

Solve the following problems.

1. A rectangle has sides of x+7\begin{align*}x+7\end{align*} and x5\begin{align*}x-5\end{align*}. What value of x\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. P(AB)\begin{align*}P(A \cup B)\end{align*}
2. P(AB)\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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Feb 22, 2012
Sep 07, 2016
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CK.MAT.ENG.SE.1.Algebra-Basic.9.10