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# 9.10: Chapter 9 Test

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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

Aug 21, 2014