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# ALGEBRA WITH APPLICATIONS MATH 141

Virginia Commonwealth University

GPA 3.98

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This 6 page Study Guide was uploaded by Paul Spencer on Wednesday October 28, 2015. The Study Guide belongs to MATH 141 at Virginia Commonwealth University taught by Ronald Lloyd in Fall. Since its upload, it has received 72 views. For similar materials see /class/230619/math-141-virginia-commonwealth-university in Applied Math at Virginia Commonwealth University.

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Date Created: 10/28/15

MATH 141 Contemporary College Algebra Notes STUDY GUIDE TO TEST 1 A diligent student will rework all herhis Quizzes Graded Homework Class Activities and any exercise done in class in addition to this study guide If you don t study for the test ahead of time or you don t seek help when needed you won t be able to succeed As you study for the test always take some time to write and sh ow a supporting work to your answers During the test you will be expected to show supporting work almost EA CH TIME A correct answer with out supporting work will be worth only one point ifthe question is worth 5 or 1 0 point then it would be a lot of lost pointsl The length of the study guide is not representative of the length of the test TEST 1 will cover sections 21 2 7 included section 25 omitted Skills 1 What is 03 of 123 2 What is 112 of 26 3 Express each fraction as a percent 0 78 0 5440 4 134 is what percent of 89 5 3 is what percent of 15 6 3 is 60 of what 7 What percent of 25 is 03 8 Solve the following equation for X 2 3x 4 2x 1 o 5x22 3 3 5 5 3 3 2 o 2x 3 x5 4 3 9 Compute the following 3l 4 8 5 ii o 3 2 5 2 A 3 LL 1 9 4 10 Consider the line of equation 3x 4y 18 0 Determine the slope show all algebraic work 0 Determine the Xintercept and the yintercept show all algebraic work 0 Graph the line you must be neat and precise the axes must be clearly labeled and scaled you must label AT LEAST THREE POINTS on the line 11 Find the slopeintercept form of the equation of each of the given graph a N W 4 U Find the equation of a line that passes through the point of coordinates 5 8 and is parallel to the line of equation y 3x 5 Find the equation of a line that passes through the point of coordinates 35 78 and is parallel to the line ofequationy Ex 5 Find the equation of a line that is parallel to the XaXis and passes through 1112 9l3 Find the equation of a line that is parallel to the yaXis and passes through 1112 9l3 Modeling Equot W 5 U 9 As the end of the year nears you have taken four exams in a certain course with the following scores 80 85 77 and 90 The Final Exam is worth twice atest What score would you need to get on the Final Exam to have 85 average for the course Paula obtained two As in two courses worth three credits a B in a course worth four credits and a D in a course worth three credits Determine Paula s GPA A stock loses 50 of its previous day s value on October 29 The next day October 30 it gains 50 of its previous day s value a If you have 2800 worth of that stock on October 28 how much is it worth at the end of the day on October 30 b If you have x worth of that stock on October 28 how much is it worth at the end of the day on October 30 Suppose that you paid 392 for a bike and the price before tax was 357 Find the percent tax you paid A sofa regularly sells for 840 The sale price is 714 Find the percent decrease of the sale price from the regular price A politician states If you elect me to the office I promise to cut your taxes for each of my rst three years in office by 5 each year for a total reduction of 15 Evaluate the accuracy of the politician s statement PHNT you can assume that a taxpayer has paid 1000 in taxes in the year previous to the politician s election The sum of two numbers is 7 If one number is subtracted from the other their difference is 7 1 Find the numbers Suppose that a manufacturer determines that there is a linear relation between P the pro t earned and x the number of shoes produced The pro t is 600 on 50 pairs and 750 on 65 pairs of shoes a For this linear relation de ne which of pro t or shoes is the independent variable and which is the dependent variable Write the linear equation between P and x Call it Px 057 What would the expected pro t be if 90 pairs were produced The manager of a furniture factory nds that it costs 2200 to manufacture 100 chairs in one day Also the daily xed cost is 500 a Find an equation that expresses the cost 0 for x number of chairs produced daily b Graph the line obtained in a c What does the slope of the line represent d What is the yintercept and what does it represent 10 The following table indicates the median price of a singlefamily home in the US Year 1999 2000 Price inthousands 1049 1101 a Use the given data to write a linear relation between the year and the median price of a singlefamily home b Use the equation obtained to predict the median price of a single family home in 2007 11 Gene is driving along Interstate 95 traveling from Richmond to Washington DC She has her cruise control set at 60 miles per hour As she passes a sign showing there are 54 miles to Marshall she wonders how many minutes it will take her to get to Marshall if she maintains her present speed Show all your work 12 The following table shows the number of households in the US with personal computers from 1995 to 2000 9 F quot7 Year quot 39 39 39 with PCs millions 1995 332 1996 387 1997 44 1998 478 1999 519 2000 551 Make a scatter plot of these data take X 0 for 1990 Which is the independent variable bFind the equation of the line passing through the points representing the number of household with PCs in years 1995 and 1999 Call this model y1 Show work Interpret the meaning of the slope in your model Use linear regression to nd another model Call this model yZ Use each of your linear models y1 and y to predict the number of households with a PC in 2010 What is the percent increase in the number of households with PCs between 1995 and 2000 13 There were 4000 moose in New Hampshire in 1994 an increase of 18 since 1982 Determine the number of moose in New Hampshire in 1982 14 David s yearly salary has decreased by 2 since 2002 Knowing that he is earning 85000 today determine his salary in 2002

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