5.9: Chapter 5 Review
Difficulty Level: At Grade
Created by: CK-12
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Find an equation of the line in slope-intercept form using the given information.
- (3, 4) with \begin{align*}slope= \frac{2}{3}\end{align*}
- \begin{align*}slope=-5\end{align*}, \begin{align*}y-intercept=9\end{align*}
- \begin{align*}slope=-1\end{align*} containing (6, 0)
- containing (3.5, 1) and (9, 6)
- \begin{align*}slope = 3\end{align*}, \begin{align*}y-\end{align*}intercept \begin{align*}=-1\end{align*}
- \begin{align*}slope=\frac{-1}{3}\end{align*} containing (–3, –4)
- containing (0, 0) and (9, –8)
- \begin{align*}slope=\frac{5}{3}\end{align*}, \begin{align*}y-\end{align*}intercept \begin{align*}=6\end{align*}
- containing (5, 2) and (–6, –3)
- \begin{align*}slope=3\end{align*} and \begin{align*}f(6)=1\end{align*}
- \begin{align*}f(2)=-5\end{align*} and \begin{align*}f(-6)=3\end{align*}
- \begin{align*}slope=\frac{3}{8}\end{align*} and \begin{align*}f(1)=1\end{align*}
Find an equation of the line in point-slope form using the given information.
- \begin{align*}slope=m\end{align*} containing \begin{align*}(x_1, y_1)\end{align*}
- \begin{align*}slope=\frac{1}{2}\end{align*} containing (-7, 5)
- \begin{align*}slope=2\end{align*} containing (7, 0)
Graph the following equations.
- \begin{align*}y+3=-(x-2)\end{align*}
- \begin{align*}y-7=\frac{-2}{3} (x+5)\end{align*}
- \begin{align*}y+1.5=\frac{3}{2}(x+4)\end{align*}
Find the equation of the line represented by the function below in point-slope form.
- \begin{align*}f(1)=-3\end{align*} and \begin{align*}f(6)=0\end{align*}
- \begin{align*}f(9)=2\end{align*} and \begin{align*}f(9)=-5\end{align*}
- \begin{align*}f(2)=0\end{align*} and \begin{align*}slope=\frac{8}{3}\end{align*}
Write the standard form of the equation of each line.
- \begin{align*}y-3=\frac{-1}{4}(x+4)\end{align*}
- \begin{align*}y=\frac{2}{7}(x-21)\end{align*}
- \begin{align*}-3x-25=5y\end{align*}
Write the standard form of the line for each equation using the given information.
- containing (0, –4) and (–1, 5)
- \begin{align*}slope=\frac{4}{3}\end{align*} containing (3, 2)
- \begin{align*}slope=5\end{align*} containing (5, 0)
- Find the slope and \begin{align*}y-\end{align*}intercept of \begin{align*}7x+5y=16\end{align*}.
- Find the slope and \begin{align*}y-\end{align*}intercept of \begin{align*}7x-7y=-14\end{align*}.
- Are \begin{align*}\frac{1}{2} x+\frac{1}{2} y=5\end{align*} and \begin{align*}2x+2y=3\end{align*} parallel, perpendicular, or neither?
- Are \begin{align*}x=4\end{align*} and \begin{align*}y=-2\end{align*} parallel, perpendicular, or neither?
- Are \begin{align*}2x+8y=26\end{align*} and \begin{align*}x+4y=13\end{align*} parallel, perpendicular, or neither?
- Write an equation for the line perpendicular to \begin{align*}y=3x+4\end{align*} containing (–5, 1).
- Write an equation for the line parallel to \begin{align*}y=x+5\end{align*} containing (–4, –4).
- Write an equation for the line perpendicular to \begin{align*}9x+5y=25\end{align*} containing (–4, 4).
- Write an equation for the line parallel to \begin{align*}y=5\end{align*} containing (–7, 16).
- Write an equation for the line parallel to \begin{align*}x=0\end{align*} containing (4, 6).
- Write an equation for the line perpendicular to \begin{align*}y=-2\end{align*} containing (10, 10).
- An Internet café charges $6.00 to use 65 minutes of their Wifi. It charges $8.25 to use 100 minutes. Suppose the relationship is linear.
- Write an equation to model this data in point-slope form.
- What is the price to acquire the IP address?
- How much does the café charge per minute?
- A tomato plant grows \begin{align*}\frac{1}{2}\end{align*} inch per week. The plant was 5 inches tall when planted.
- Write an equation in slope-intercept form to represent this situation.
- How many weeks will it take the plant to reach 18 inches tall?
- Joshua bought a television and paid 6% sales tax. He then bought an albino snake and paid 4.5% sales tax. His combined purchases totaled $679.25.
- Write an equation to represent Joshua’s purchases.
- Graph all the possible solutions to this situation.
- Give three examples that would be solutions to this equation.
- Comfy Horse Restaurant began with a 5-gallon bucket of dishwashing detergent. Each day \begin{align*}\frac{1}{4}\end{align*} gallon is used.
- Write an equation to represent this situation in slope-intercept form.
- How long will it take to empty the bucket?
- The data below shows the divorce rate per 1,000 people in the state of Wyoming for various years (source: Nation Masters). \begin{align*}&\text{Year} && 2000 && 2001 && 2002 && 2003 && 2004 && 2005 && 2006 && 2007\\
&\text{Rate (per 1,000 people)} && 5.8 && 5.8 && 5.4 && 5.4 && 5.3 && 5.4 && 5.3 && 5.0\end{align*}
- Graph the data in a scatter plot.
- Fit a line to the data by hand.
- Find the line of best fit by hand.
- Using your model, what do you predict the divorce rate is in the state of Wyoming in the year 2011?
- Repeat this process using your graphing calculator. How close was your line to the one the calculator provided?
- The table below shows the percentage of voter turnout at presidential elections for various years (source The American Presidency Project). \begin{align*}&\text{Year} && 1828 && 1844 && 1884 && 1908 && 1932 && 1956 && 1972 && 1988 && 2004\\
&\% \ \text{of Voter Turnout} && 57.6 && 78.9 && 77.5 && 65.4 && 56.9 && 60.6 && 55.21 && 50.15 && 55.27\end{align*}
- Draw a scatter plot of this data.
- Use the linear regression feature on your calculator to determine a line of best fit and draw it on your graph.
- Use the line of best fit to predict the voter turnout for the 2008 election.
- What are some outliers to this data? What could be a cause for these outliers?
- The data below shows the bacteria population in a Petri dish after \begin{align*}h\end{align*} hours. \begin{align*}& h \ \text{hours} && 0 && 1 && 2 && 3 && 4 && 5 && 6\\
&\text{Bacteria present} && 100 && 200 && 400 && 800 && 1600 && 3200 && 6400\end{align*}
- Use the method of interpolation to find the number of bacteria present after 4.25 hours.
- Use the method of extrapolation to find the number of bacteria present after 10 hours.
- Could this data be best modeled with a linear equation? Explain your answer.
- How many seconds are there in 3 months?
- How many inches are there in a kilometer?
- How many cubic inches are there in a gallon of milk?
- How many square meters are there in 100 acres?
- How many fathoms is 616 feet?
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Date Created:
Feb 22, 2012
Last Modified:
Sep 07, 2016
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