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12.10: Chapter 12 Test

Difficulty Level: At Grade Created by: CK-12
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  1. 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.
  2. 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?
  3. Name the four types of ways questions can be biased.
  4. Which is the best way to show data comparing two categories?
  5. Consider \begin{align*}f(x)= -\frac{4}{x}\end{align*}. State its domain, range, asymptotes, and the locations of its branches.
  6. \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*}
  7. Name two types of visual displays that could be used with a frequency distribution.
  8. 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
    1. Display this data a frequency distribution chart.
    2. Use it to make a histogram.
    3. Find its five-number summary.
    4. Draw a box-and-whisker plot.
    5. Make at least two conclusions regarding Tyler’s survey.
  9. 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.

  1. \begin{align*}\frac{4}{21r^4}+\frac{4r+5t}{21r^4}\end{align*}
  2. \begin{align*}\frac{a-v}{12a^3}-\frac{a+5v}{12a^3}\end{align*}
  3. \begin{align*}\frac{8}{g+8}+\frac{g-3}{g-5}\end{align*}
  4. \begin{align*}\frac{4t}{5t-8}+\frac{24}{12}\end{align*}
  5. \begin{align*}\frac{4}{5} \cdot \frac{80}{48m}\end{align*}
  6. \begin{align*}\frac{1}{d-8} \div \frac{d+7}{2d+14}\end{align*}
  7. \begin{align*}\frac{1}{u-3} \div \frac{u-4}{2u-6}\end{align*}


  1. \begin{align*}\frac{7w}{w-7}=\frac{7w}{w+5}\end{align*}
  2. \begin{align*}\frac{p-6}{3p^2-6p}=\frac{7}{3}\end{align*}
  3. \begin{align*}\frac{2}{x^2} =\frac{1}{2x^2}-\frac{x+1}{2x^2}\end{align*}
  4. \begin{align*}\frac{1}{2}-\frac{1}{4r}=\frac{3}{4}\end{align*}
  5. \begin{align*}\frac{y-5}{3y^2}=-\frac{1}{3y}+\frac{1}{y^2}\end{align*}
  6. 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?
  7. 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?
  8. 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*}.
  9. 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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