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# COLLEGE ALGEBRA MATH 1513

OK State

GPA 4.0

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This 0 page Class Notes was uploaded by Hector Hudson III on Sunday November 1, 2015. The Class Notes belongs to MATH 1513 at Oklahoma State University taught by Staff in Fall. Since its upload, it has received 14 views. For similar materials see /class/232789/math-1513-oklahoma-state-university in Mathematics (M) at Oklahoma State University.

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Date Created: 11/01/15

Exam 1 Wednesday Sept 22 2010 Sections R1R7 and 1116 and 21 22 o 3 X 5 index note card front and back 0 Calculator you must bring your calculator During the exam you cannot borrow one from a classmate Make sure the batteries are charged You are responsible for knowing how to operate the calculator During the exam I will not answer any questions about how to operate the calculator Scratch paper won t turn in all final work must be on exam paper 0 1015 Multiple Choice amp e 45 pts each Fill in the Blanks o 57 Solve Show Work e 68 pts each Multiple Forms Problems Randomly Arranged Point Value z Related to TimeWork Required Time Limit 50 minutes Firm DON T JUST STUDY THESE SAMPLE QUESTIONS AND NOTHING ELSE The questions below are only samples to show you the style of questions Your exam will be different and may include other topics and questions not covered here Samples Multiple Choice On the multiple choice questions the belief is that the answer is obvious or you must only perform a few steps to obtain the answer You should first solve the problem on scratch paper and then look for your answer in the list of choices Put CAPITAL letters in the blanks If the correct answer is not present put X in the blank 1 The equation of the line with slope and yintercept 3 is R 3y2x9 S y3x T xy3 U 3y2x3 2 Line L1 has equation 4x5y 9 0 Line L2 is parallel to The slope of line L2 is 4 9 5 4 R S T U 5 5 4 5 3 The slope m and yintercept b ofthe line 3y 2x 12 0 are F m2b 12 G m b 4 H m 2b12 I m2b4 4 The number 03333 is put the letters of all that are true F an integer G arational number H a negative integer I an irrational number J a real number K a whole number L a natural number 5 Line Ll has equation3x 4y 7 Line L2 is perpendicular to L1 The slope of line L2 is 4 3 4 4 F G H 1 7 4 3 3 Page 1 of 4 9 The set indicated in the gure at the right is R xl 2ltxlt2 u o o n a o o o e a a a a 76S432391012 3 4 s a 7 Sxlxgt20rxlt 2 Txl2ltxlt 2 U xi 2Sxlt3 gt1 The expression 2x 52 is equivalent to R 4x2 25 S 4x2 10x 25 T 4x2 20x25 U 4x225 9 0 52 x32 5 is the equation of a circle with center c and radius r where F c 3 5 r J3 G c 35 rJ H c 3 5 r 5 I c 35 r5 J c 35 r 25 K 35 r 25 50 Given that fx 6x2 x l nd fxl R 6x2x6 S 6x213x6 T 6x2x1 U 6x213x5 10 Solve 2x63x8 F x 2 G x 20 H x 1 x4 Samples FillintheBlanks On the llintheblank questions like the multiple choice the belief is that the correct answer can be obtained by only a few steps If necessary you should solve the problem on scratch paper Probably no partial credit will be given for these questions N E 4 V39 0 gt1 9 Compute 72x10 4 80x106 If fx xIS 2x then f 2 and write the nal answer in scienti c notation 3x2l 3 is 2x 7 8x The domain of the function f x Using your calculator approximate the value of each of the following accurate to 4 decimals a 563 m b 102 Factor completely 2x3 18x 2 3 2 Simplify W xy Multiply and simplify x 33x 4 If fx x 5 and gx l2x 3 then fg6 Page 2 of 4 9 Find the equation of the regression line for the data in the table at the right round to 3 decimals 10 For certain numbers a b c and dthe graphs onlax b and Y2cxd are shown at the right The bold line is Y2 The lines intersect at the point The solution set of cxd gt ax b is 11 The equation of a horizontal line that passes through the point 4 3 is 2x l xlt 3 12 Iffx 3x 2 x25 then f 3 4x3 3Sxlt5 Samples Solve Show Work On the show work problems you will have to perform several steps to arrive at the correct answer Consequently your work steps will be checked To earn any points you must demonstrate by the work shown that you understand the proper techniques of solVing the problem If you miss the correct answer you may get some partial credit if you have made a minor mistake Little or no work 0 points Put nal answers in the blanks On the actual exam there will be space below each problem to do all the work on the exam paper 1 Find the equation of the line which passes through the points 12 and 3 6 Write your answer in slopeintercept form 2 Find the equation of the line which passes through the point 2 4 and is parallel to the line 2 y 3x 4 0 3 Addandsim lif I p y39 x2 3x2 x2 5x6 4 Rationalize the denominator and simplify 2 3 J7 5 Find the distance between 8 4 and 3 6 Round to 3 decimal places 6 A bug crawls in a coordinate system in a straight line from the point 5 8 to the point 4 12 Find the coordinates of the half way point of the bug s trip Page 3 of 4 7 Pizza Shack charges 825 for a cheese pizza plus 075 for each additional topping a Write a mction that can be used to determine the total cost Ct of apizzaWith t toppings b Use the function in pan a to calculate the cost ofa 4topping pizza 8 Find the solution set of 73 275xlt 10 9 Cowboy Used Cars sold 50 cars in 2001 In 2006 they sold 180 cms Find the average rate ofchange ofcars sold from 2001 to 2006 don tforget units 10 Jaanne s Catering charges 75 setup fee plus 18 per person At Home Hospitality charges a 125 setup fee plus 15 per person For What number of people is Jaanne s Catering the less expensive option 11 Find the relative minimum value of y x3 7 5x round to 3 decimals Ymax 7 Y1 Y2 Xmin 7 Xmaxi Ymini Page 4 of4 Solutions No guarantee that these answers are correct Samples Multiple Choice Put CAPITAL letters in the blanks If the correct answer is not present put X in the blank 2 7R7 1 The equation of the line with slope 3 and yintercept 3 is R 3y2x9 S y3x T x y3 U 3y2x3 R 2 Line L1 has equation 4x5y 9 0 Line L2 is parallel to L1 The slope of line L2 is 4 9 5 4 R S T U 5 5 4 5 717 3 The slope m and yintercept b ofthe line 3y 2x 12 0 are F m2b 12 G m b 4 H m 2b12 I m2b4 7G If 4 The number 03333 is put the letters of all that are true F an integer G a rational number H a negative integer I an irrational number J a real number K a whole number L a natural number 717 5 Line L1 has equation 3x 4y 7 Line L2 is perpendicular to L1 The slope of line L2 is 4 3 4 4 F G H I 7 4 3 3 S 6 The set indicated in the gure at the right is 7 7 e543 2101234557 R x 2ltxlt2 Sxxgt20rxlt 2 Tx2ltxlt 2 U x 2Sxlt3 T 7 The expression 2x 52 is equivalent to R 4x2 25 S 4x2 10x 25 T 4x2 20x25 U 4x225 G 8 y 52 36 32 5 is the equation ofa circle with center c and radius r where F c 3 5 r J3 G c 35 rJ H c 3 5 r 5 I c 35 r5 J c 35 r 25 K 35 r25 S 9 Giventhat fx6x2x l nd fx1 R 6x2x6 S 6x213x6 T 6x2x1 U 6x213x5 1710 Solve 2x63x8 F x 2 G x 20 H x 1 x4 Samples FillintheBlanks Fill in the blanks with the correct answer Only nal answers in the blanks will be graded 72 X 10 4 1 Compute W and write the nal answer in scienti c notation 90 gtlt10 11 x 2 If fx15 2x then f 2 319 Z 3 The domain ofthe function fx 23x 1 is xi x 0 and x 2 and x 2 3 x 78x Page 1 of 4 4 Using your calculator approximate the value of each of the following accurate to 4 decimals l a 563 m 31535 b 10 20 m 13493 5 Factor completely 2x3 18x 2x1x 3 1 96 3 2 3 2 6 Simplify W 108x553 xy 7 Multiply and simplify x 33x 4 3x2 5x 12 8 If fx x 5 and gx l2x 3 then fg6 74 9 F1nd the equatlon of the regress1on 11ne for the data 1n I x I 1 I 3 I 6 I 11 the table at the right round to 3 decimals 10 For certain numbers a b c and dthe graphs onlax b and Y2cxd are shown at the right The bold line is Y2 The lines intersect at the point The solution set of cxd gt ax b is x lt The equation of ahorizontal line that passes through the point 4 3 is 1 3 2x l xlt 3 12 Iffx 3x 2 x25 4x3 3Sxlt5 then f 3 9 Samples Solve Show Work Show all work steps Put nal answers in blanks 1 Find the equation ofthe line which passes through the points 12 and 3 6 Write your answer in slopeintercept form 1 4x 6 y mxb 6772 8 6 4 m 3 1 2 612b 6b soy4x 6 Page 2 of 4 2 Find the equation of the line which passes through the point 2 4 and is parallel to the line 2 y 3x 4 0 y x l y xb 2y3x93x4 4 2b yx2 4 3b 1b soy x l x 2 xZ x 2 3 Add and s1mp11fy m m x 2 x2 3x 2x 2 x 2x l x 3x 2 x 2x lx 3 x 2x lx 3 xx 3 2x 1 D x2 3x2x 2 xZ x 2 x2x1x3 x2x1x3 x 2x lx 3 x 2x lx 3 4 Rationalize the denominator and simplify i 3 7 3 J7 2 3 x7 23 J7 6 2 6 2J7 3 3J7 3 3 9 7 2 5 Find the distance between 8 4 and 3 6 Round to 3 decimal places m 11180 a xzx1zyzy12 am JE 11180 6 A bug crawls in a coordinate system in a straight line from the point 5 8 to the point 4 12 Find the coordinates of the half way point of the bug s trip 5 10 x1x yy574812l m dpt 710 7 Pizza Shack charges 825 for a cheese pizza plus 075 for each additional topping a Write a function that can be used to determine the total cost C t of a pizza with ttoppings C t 825 075t b Use the function in part a to calculate the cost of a 4topping pizza 1125 C4 825 0754 l 125 8 Findthe solution set of 3S2 5xlt10 ltxS1 3S2 5x and 2 5xlt10 5S 5x 5xlt8 Zx xgt 12x and xgt Page 3 of 4 9 Cowboy Used Cars sold 50 cars in 2001 In 2006 they sold 180 cars Find the average rate of change ofcars sold from 2001 to 2006 26 cars gear don tforget units sdes m 2006rsMes m 2001 18950 7 m 7 26 0 200672001 7 5 7 10 Juanne s Catering charges 75 setup fee plus 18 per person At Home Hospitality charges a 125 setup fee plus 15 per person For What number of people is Joanna s Catering the less expensive option 16 or less ea 12 for p pzapzzs Joannz s Catering lt A Home Hospitality Joannz s Cammg 7518p 7518plt 12515p A Home Hospzmzzzy 125 15p 3p lt50 p lt15555 11 Find the relative miniman value of y x3 7 5x minimum value 4303 mqu 20 3 decimals I already showed you graph in class Ymax 7 Y1 Xmini Ymini Page 4 of4

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