12.10: Chapter 12 Test
Difficulty Level: At Grade
Created by: CK-12
- True or false? A horizontal asymptote has the equation \begin{align*}y=c\end{align*} and represents where the denominator of the rational function is equal to zero.
- A group of SADD members want to find out about teenage drinking. They conduct face-to-face interviews, wearing their SADD club shirts. What is a potential bias? How can this be modified to provide accurate results?
- Name the four types of ways questions can be biased.
- Which is the best way to show data comparing two categories?
- Consider \begin{align*}f(x)= -\frac{4}{x}\end{align*}. State its domain, range, asymptotes, and the locations of its branches.
- \begin{align*}h\end{align*} varies inversly as \begin{align*}r\end{align*}. When \begin{align*}h=-2.25, r=0.125\end{align*}. Find \begin{align*}h\end{align*} when \begin{align*}r=12.\end{align*}
- Name two types of visual displays that could be used with a frequency distribution.
- Tyler conducted a survey asking the number of pets his classmates owned and received the following results: 0, 2, 1, 4, 3, 2, 1, 0, 0, 0, 0, 1, 4, 3, 2, 3, 4, 3, 2, 1, 1, 1, 5, 7, 0, 1, 2, 3, 2, 1, 4, 3, 2, 1, 1, 0
- Display this data a frequency distribution chart.
- Use it to make a histogram.
- Find its five-number summary.
- Draw a box-and-whisker plot.
- Make at least two conclusions regarding Tyler’s survey.
- Find the excluded values, the domain, the range, and the asymptotes of: \begin{align*}f(x)=-\frac{9}{x^2-16}+4.\end{align*}
Perform the indicated operation.
- \begin{align*}\frac{4}{21r^4}+\frac{4r+5t}{21r^4}\end{align*}
- \begin{align*}\frac{a-v}{12a^3}-\frac{a+5v}{12a^3}\end{align*}
- \begin{align*}\frac{8}{g+8}+\frac{g-3}{g-5}\end{align*}
- \begin{align*}\frac{4t}{5t-8}+\frac{24}{12}\end{align*}
- \begin{align*}\frac{4}{5} \cdot \frac{80}{48m}\end{align*}
- \begin{align*}\frac{1}{d-8} \div \frac{d+7}{2d+14}\end{align*}
- \begin{align*}\frac{1}{u-3} \div \frac{u-4}{2u-6}\end{align*}
Solve.
- \begin{align*}\frac{7w}{w-7}=\frac{7w}{w+5}\end{align*}
- \begin{align*}\frac{p-6}{3p^2-6p}=\frac{7}{3}\end{align*}
- \begin{align*}\frac{2}{x^2} =\frac{1}{2x^2}-\frac{x+1}{2x^2}\end{align*}
- \begin{align*}\frac{1}{2}-\frac{1}{4r}=\frac{3}{4}\end{align*}
- \begin{align*}\frac{y-5}{3y^2}=-\frac{1}{3y}+\frac{1}{y^2}\end{align*}
- Working together, Ashton and Matt can tile a floor in 25 minutes. Working alone, it would take Ashton two hours. How long would it take Matt to tile the floor alone?
- Bethany can paint the deck in twelve hours. Melissa can paint the deck in five hours. How long would it take the girls to paint the deck, working together?
- A parallel circuit has \begin{align*}R_t=115 \ \Omega\end{align*} and \begin{align*}R_2=75 \ \Omega\end{align*}. Find \begin{align*}R_1\end{align*}.
- A series circuit has \begin{align*}R_1=13 \ \Omega\end{align*} and \begin{align*}R_t=21 \ \Omega\end{align*}. Find \begin{align*}R_2\end{align*}.
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/9622.
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Date Created:
Feb 22, 2012Last Modified:
Oct 19, 2015
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