12.9: Chapter 12 Review
Difficulty Level: At Grade
Created by: CK12
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Define the following terms used in this chapter.
 Inverse variation
 Asymptotes
 Hyperbola
 Points of discontinuity
 Least common multiple
 Random sampling
 Stratified sampling
 Biased
 Cherry picking
 What quadrants are the branches of the hyperbola located if
k<0 ?
Are the following examples of direct variation or inverse variation?
 The number of slices
n people get from sharing one pizza  The thickness of a phone book given
n telephone numbers  The amount of coffee
n people receive from a single pot  The total cost of pears given the nectarines cost $0.99 per pound
For each variation equation:
 Translate the sentence into an inverse variation equation.
 Find
k , the constant of variation.  Find the unknown value.

y varies inversely asx . Whenx=5,y=215 . Findy whenx=−12 . 
y is inversely proportional to the square root ofy . Whenx=16,y=0.5625 . Findy whenx=18 .  Habitat for Humanity uses volunteers to build houses. The number of days it takes to build a house varies inversely as the number of volunteers. It takes eight days to build a house with twenty volunteers. How many days will it take sixteen volunteers to complete the same job?
 The Law of the Fulcrum states the distance you sit to balance a seesaw varies inversely as your weight. If Gary weighs 20.43 kg and sits 1.8 meters from the fulcrum, how far would Shelley sit, assuming she weighs 36.32 kilograms?
For each function:
 Graph it on a Cartesian plane.
 State its domain and range.
 Determine any horizontal and/or vertical asymptotes the function may have.

y=4x 
f(x)=24−x 
g(x)=−1x+1 
y=63x+1−2 
f(x)=3x−5
Perform the indicated operation.

5a6−5b4b 
43m+4m5 
3x2xy+43 
25n−2+2n2 
2x+13x+9−x+53x+9 
5m+n30n4−4m+n30n4 
r−64r2−12r+8−r+64r2−12r+8 
216x3y2+x−2y16x3y2 
n−6n+2+2n5 
84−x+5x+8 
3x2(x+1)+67x−6 
118⋅20x22 
17r16⋅7r416 
1518⋅1417t 
2(b−11)14b⋅b+5(b+5)(b−11) 
17w2w+4⋅18(w+4)17w2(w−9) 
10s3−30s230s2−10s3⋅s−38 
1f−5÷f+3f2+6f+9 
(a+8)(a+3)4(a+3)÷10a2(a+10)4 
1(h−10)(h+7)÷(h−4)4h(h−10) 
2(5x−8)4x2(8−5x)÷64x2 
2(q−7)40q(q+1)÷140q(q+1)
Solve each equation.

33x2=1x+13x2 
25x2=−12x−3 
7xx−6=34x+16 
4c−2=3c+4 
d−44d2=14d2+14d 
12=2z−12z−z+14z 
1n=1n2+6n 
12a=12a2+1a  \begin{align*}\frac{k+4}{k^2} =\frac{5k30}{3k^2}+\frac{1}{3k^2}\end{align*}
 It takes Jayden seven hours to paint a room. Andie can do it in five hours. How long will it take to paint the room if Jayden and Andie work together?
 Kiefer can mow the lawn in 4.5 hours. Brad can do it in two hours. How long will it take if they worked together?
 Melissa can mop the floor in 1.75 hours. With Brad’s help, it took only 50 minutes. How long would it take Brad to mop it alone?
 Working together, it took Frankie and Ricky eight hours to frame a room. It would take Frankie fifteen hours doing it alone. How long would it take Ricky to do it alone?
 A parallel circuit has \begin{align*}R_1=50 \Omega\end{align*} and \begin{align*}R_t=16 \Omega\end{align*}. Find \begin{align*}R_2\end{align*}.
 A parallel circuit has \begin{align*}R_1=6 \Omega\end{align*} and \begin{align*}R_2=9 \Omega\end{align*}. Find \begin{align*}R_T\end{align*}.
 A series circuit has \begin{align*}R_1=200 \Omega\end{align*} and \begin{align*}R_t=300 \Omega\end{align*}. Find \begin{align*}R_2\end{align*}.
 A series circuit has \begin{align*}R_1=11 \Omega\end{align*} and \begin{align*}R_2=25 \Omega\end{align*}. Find \begin{align*}R_T\end{align*}.
 Write the formula for the total resistance for a parallel circuit with three individual resistors.
 What would be the bias in this situation? To determine the popularity of a new snack chip, a survey is conducted by asking 75 people walking down the chip aisle in a supermarket which chip they prefer.
 Describe the steps necessary to design and conduct a survey.
 You need to survey potential voters for an upcoming school board election. Design a survey with at least three questions you could ask. How will you plan to conduct the survey?
 What is a stratified sample? Name one case where a stratified sample would be more beneficial.
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Date Created:
Feb 22, 2012
Last Modified:
Sep 07, 2016
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