# 5.10: Chapter 5 Test

Difficulty Level:

**At Grade**Created by: CK-12- Write \begin{align*}y=\frac{-3}{2} x+4\end{align*}
y=−32x+4 in standard form. - Write an equation in slope-intercept form for a line perpendicular to \begin{align*}y=\frac{1}{3} x+6\end{align*}
y=13x+6 containing (1, 2). - Write an equation in point-slope form for a line containing (5, 3) and (–6, 0.5).
- What is the speed of a car travelling 80
*miles/hour*in*feet/second*? - How many kilometers are in a marathon (26.2 miles)?
- Lucas bought a 5-gallon container of paint. He plans to use \begin{align*}\frac{2}{3}\end{align*}
23 gallon per room.- Write an equation to represent this situation.
- How many rooms can Lucas paint before the container is empty?

- Are these two lines parallel, perpendicular, or neither? Explain your answer by showing your work: \begin{align*}y=3x-1\end{align*}
y=3x−1 and \begin{align*}-x+3y=6\end{align*}−x+3y=6 . - The table below gives the gross public debt of the U.S. Treasury for the years 2004–2007. \begin{align*}&\text{Year} && 2004 && 2005 && 2006 && 2007\\
&\text{Debt (in billions \$)} && 7,596.1 && 8,170.4 && 8,680.2 && 9,229.2\end{align*}
YearDebt (in billions $)20047,596.120058,170.420068,680.220079,229.2 - Make a scatter plot of the data.
- Use the method of extrapolation to determine the gross public debt for 2009.
- Find a linear regression line using a graphing calculator.
- Use the equation found in (c) to determine the gross public debt for 2009.
- Which answer seems more accurate, the linear model or the extrapolation?

- What is the process used to interpolate data?
- Use the table below to answer the following questions. \begin{align*}&\text{Hours (h)} && 0 && 1 && 2 && 3 && 4\\
&\text{Percentage of mineral remaining} && 100 && 50 && 25 && 12.5 && 6.25\end{align*}
Hours (h)Percentage of mineral remaining0100150225312.546.25 - Draw a scatter plot to represent the data.
- Would a linear regression line be the best way to represent the data?
- Use the method of interpolation to find the percentage of mineral remaining when \begin{align*}h=2.75.\end{align*}
h=2.75.

## 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/9615.*

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Date Created:

Feb 22, 2012
Last Modified:

Feb 09, 2016
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