Math 012 Final Examination Answer Sheet Fall 2016 1 Math 012 Intermediate Algebra Name______________________________ Final Examination: Fall 2016 Instructor __________________________ Answer Sheet Instructions: This is an open-book exam. You may refer to your text and other course materials as you work on the exam and you may use a calculator. Record your answers and show your work on this document. You must show your work to receive credit: answers given with no work shown will not receive credit. You may type your work using plain-text formatting or an equation editor, or you may hand-write your work and scan it. If you choose to scan your work, note that most scanners have a setting that will allow you to create one PDF document from all of the pages of your Answer Sheet - please make use of this option if it is available on your scanner. Whether you type your work or write it by hand, show work neatly and correctly, following standard mathematical conventions. Each step should follow clearly and completely from the previous step. If necessary, you may attach extra pages. You must complete the exam individually. Neither collaboration nor consultation with others is allowed. Your exam will receive a zero grade unless you complete the following honor statement. Please sign (or type) your name below the following honor statement: I have completed this final examination myself, working independently and not consulting anyone except the instructor. I have neither given nor received help on this final examination. Name _______________ Date___________________ Math 012 Final Examination Answer Sheet Proble m Number 2 Solution WORK: 1 ANSWER: WORK: 2 ANSWER: 3 Fall 2016 WORK: Math 012 Final Examination Answer Sheet ANSWER: WORK: 4 ANSWER: WORK: 5 ANSWER: Fall 2016 3 Math 012 Final Examination Answer Sheet Fall 2016 WORK: 6 ANSWER: WORK: 7 ANSWER: 8 Use the \"drag and drop\" line and points to graph your line. WORK: ANSWER: 4 Math 012 Final Examination Answer Sheet WORK: 9 ANSWER: 10 WORK: Fall 2016 5 Math 012 Final Examination Answer Sheet ANSWER: WORK: 11 ANSWER: WORK: 12 ANSWER: 13 WORK: Fall 2016 6 Math 012 Final Examination Answer Sheet ANSWER: WORK: 14 ANSWER: WORK: 15 ANSWER: Fall 2016 7 Math 012 Final Examination Answer Sheet WORK: 16 ANSWER: WORK: 17 ANSWER: WORK: 18 ANSWER: Fall 2016 8 Math 012 Final Examination Answer Sheet WORK: 19 ANSWER: WORK: 20 ANSWER: WORK: 21 ANSWER: Fall 2016 9 Math 012 Final Examination Answer Sheet WORK: 22 ANSWER: WORK: 23 ANSWER: WORK: 24 ANSWER: Fall 2016 10 Math 012 Final Examination Answer Sheet WORK: 25 ANSWER: Fall 2016 11 Math 012 3150 Final Exam Fall 2016 ID: 1 Q s2Q0O1B6` tKaudtiav zSLoPfOtDwZamr\\ev DLzLACR.E g \\A[l`lb _r\\iegNhNtlsa nr`e[steRrsvmeMdw. Solve each equation. 1) 7x + 7 + 5x + 1 = 2( x - 5) + 6(2x - 2) 2) 2 10 27 x+ x= 7 7 14 Solve each inequality, write its solution set in interval notation, and graph the solution set on a number line. 3) -8 + 3( x - 6) 2(1 - 2x) 4) - 1 4 61 - x<5 3 30 Solve each compound inequality, write its solution set in interval notation, and graph the solution set on a number line. 5) -9 4x + 7 < 31 6) 15 15 5 >- b> 2 4 2 Write the standard form of the equation of the line described. 2 7) through: (-1, 2), perpendicular to y = - x - 1 5 Rewrite the equation in slope-intercept form and then use the slope and y-intercept to sketch a graph of the line with the given equation. 8) 3x - 2 y = -8 Worksheet by Kuta Software LLC -1- c p2G0I1w6J TK]udtTaZ ZSLokfbtpwHarrPek BL\\LVCS.C H [Azlllm QrFiFgHhbtasK TrQeZsceqrBvhe`du.w d gMVaBdDeQ gwwiKtLhK EIInGfTiXnniUtQes JAyl_gvembCrhaQ k1c. Show all work as you solve the linear modeling problem below. 9) There were 7288 Walmart stores worldwide in 2008 and 8605 Walmart stores worldwide in 2011. Write a linear equation in slope-intercept form that models this growth. Let x stand for the number of years after 2008 and let y = the number of Walmart stores worldwide. Simplify. Your answer should contain only positive exponents. 5 5 2 4 10) 3a b 2a b -2 4 11) - -2 -3 3x y -2x y 4 3 4x y 4 -3 -3 12) (3x y ) 5 -2 13) -2x y 0 -3 2 (2x y ) Perform the indicated operation and simplify. 14) (4x 2 - 7x 4 - 8) - (6 - x 2 + 7x 4 ) Multiply as indicated and simplify. 15) (a - 4)(7a 2 - 8a + 2) Solve the equation by factoring. 16) 5x 2 = -17x + 12 Solve the equation by completing the square. 17) x 2 + 8x - 100 = -8 Worksheet by Kuta Software LLC -2- z u2a0x1\\6v LKyu^tSak VSIoFfztPwWa`rPeX kLeLjCf.\\ f \\ArlHlf \ qiTgyhstAsw Jr]eisQeUrsvQeRdo.n _ wMLaCdIer DwSiCt^hC CImn]fOiInhi^tret VAplIgoerbPrraT H1M. Show all work as you solve the following problems and write complete answers, including appropriate units. 24) Carlos left the airport and traveled toward the ferry office at an average speed of 27 km/h. Alberto left two hours later and traveled in the same direction but with an average speed of 45 km/h. Find the number of hours Carlos traveled before Alberto caught up. 25) Emma put $35,000 in an education account on the day her daughter was born. If the account earned 5.75% interest compounded quarterly, what was the total in the account when her daughter turned 18? Round the final answer to the nearest cent. Worksheet by Kuta Software LLC -4- T e2f0K1A6y ^KJuZtvar CSXo^fztGwKalr\\eT eLbLdCJ.k ^ PAxlalV GrBiPgrhhtjss SrwessHeGrMvnebdZ.l N IMyaTdKeN pwQiatRhP KINnffIiPnNiFtwet NAbl_gdeZb^rtaS ^1S. Math 012 Intermediate Algebra Name______________________________ Final Examination: Fall 2016 Instructor __________________________ Answer Sheet Instructions: This is an open-book exam. You may refer to your text and other course materials as you work on the exam and you may use a calculator. Record your answers and show your work on this document. You must show your work to receive credit: answers given with no work shown will not receive credit. You may type your work using plain-text formatting or an equation editor, or you may hand-write your work and scan it. If you choose to scan your work, note that most scanners have a setting that will allow you to create one PDF document from all of the pages of your Answer Sheet - please make use of this option if it is available on your scanner. Whether you type your work or write it by hand, show work neatly and correctly, following standard mathematical conventions. Each step should follow clearly and completely from the previous step. If necessary, you may attach extra pages. You must complete the exam individually. Neither collaboration nor consultation with others is allowed. Your exam will receive a zero grade unless you complete the following honor statement. Please sign (or type) your name below the following honor statement: I have completed this final examination myself, working independently and not consulting anyone except the instructor. I have neither given nor received help on this final examination. Name _______________ Date___________________ Proble m Number Solution 1 WORK: 7x + 7 + 5x + 1 = 2(x - 5) + 6(2x - 2) 12x+8=2x-10 + 12x-12 12x+8=14x-22 2x=30 x=15 Math 012 Intermediate Algebra Name______________________________ Final Examination: Fall 2016 Instructor __________________________ Answer Sheet Instructions: This is an open-book exam. You may refer to your text and other course materials as you work on the exam and you may use a calculator. Record your answers and show your work on this document. You must show your work to receive credit: answers given with no work shown will not receive credit. You may type your work using plain-text formatting or an equation editor, or you may hand-write your work and scan it. If you choose to scan your work, note that most scanners have a setting that will allow you to create one PDF document from all of the pages of your Answer Sheet - please make use of this option if it is available on your scanner. Whether you type your work or write it by hand, show work neatly and correctly, following standard mathematical conventions. Each step should follow clearly and completely from the previous step. If necessary, you may attach extra pages. You must complete the exam individually. Neither collaboration nor consultation with others is allowed. Your exam will receive a zero grade unless you complete the following honor statement. Please sign (or type) your name below the following honor statement: I have completed this final examination myself, working independently and not consulting anyone except the instructor. I have neither given nor received help on this final examination. Name _______________ Date___________________ Proble m Number Solution 1 WORK: 7x + 7 + 5x + 1 = 2(x - 5) + 6(2x - 2) 12x+8=2x-10 + 12x-12 12x+8=14x-22 2x=30 x=15 Math 012 Intermediate Algebra Name______________________________ Final Examination: Fall 2016 Instructor __________________________ Answer Sheet Instructions: This is an open-book exam. You may refer to your text and other course materials as you work on the exam and you may use a calculator. Record your answers and show your work on this document. You must show your work to receive credit: answers given with no work shown will not receive credit. You may type your work using plain-text formatting or an equation editor, or you may hand-write your work and scan it. If you choose to scan your work, note that most scanners have a setting that will allow you to create one PDF document from all of the pages of your Answer Sheet - please make use of this option if it is available on your scanner. Whether you type your work or write it by hand, show work neatly and correctly, following standard mathematical conventions. Each step should follow clearly and completely from the previous step. If necessary, you may attach extra pages. You must complete the exam individually. Neither collaboration nor consultation with others is allowed. Your exam will receive a zero grade unless you complete the following honor statement. Please sign (or type) your name below the following honor statement: I have completed this final examination myself, working independently and not consulting anyone except the instructor. I have neither given nor received help on this final examination. Name _______________ Date___________________ Proble m Number Solution 1 WORK: 7x + 7 + 5x + 1 = 2(x - 5) + 6(2x - 2) 12x+8=2x-10 + 12x-12 12x+8=14x-22 2x=30 x=15 Math 012 Final Examination Answer Sheet Math 012 Intermediate Algebra Final Examination: Fall 2016 Fall 2016 1 Name______________________________ Instructor __________________________ Answer Sheet Instructions: This is an open-book exam. You may refer to your text and other course materials as you work on the exam and you may use a calculator. Record your answers and show your work on this document. You must show your work to receive credit: answers given with no work shown will not receive credit. You may type your work using plain-text formatting or an equation editor, or you may hand-write your work and scan it. If you choose to scan your work, note that most scanners have a setting that will allow you to create one PDF document from all of the pages of your Answer Sheet - please make use of this option if it is available on your scanner. Whether you type your work or write it by hand, show work neatly and correctly, following standard mathematical conventions. Each step should follow clearly and completely from the previous step. If necessary, you may attach extra pages. You must complete the exam individually. Neither collaboration nor consultation with others is allowed. Your exam will receive a zero grade unless you complete the following honor statement. Please sign (or type) your name below the following honor statement: I have completed this final examination myself, working independently and not consulting anyone except the instructor. I have neither given nor received help on this final examination. Name _______________ Date___________________ Math 012 Final Examination Answer Sheet Fall 2016 Problem Number Solution WORK: 7x + 7 + 5x + 1 = 2(x - 5) + 6(2x - 2) 1 12x+8=2x-10 + 12x-12 12x+8=14x-22 2x=30 x=15 ANSWER: X=15 WORK: (2/7)x +(10/7)x=27/14 12x/7 =27/14 24x=27 2 x=9/8 ANSWER: X=9/8 WORK: -8 + 3(x - 6) 2(1 - 2x) -8 + 3x-18 2- 4x 7x2+18+8 7x28 X4 (,4] 3 2 Math 012 Final Examination Answer Sheet ANSWER:(,4] WORK: -(1/5) -(4/3)x < -61/30 (-3-20x)/15 < -61/30 2(-3-20x) < -61 -6-40x < -61 -40x < -61+6 -40x < -55 x>11/8 Interval nota on :- (11/8,) 4 ANSWER: x>11/8 Interval nota on :- (11/8,) WORK: -9 4x+7 < 31 5 -9-7 4x < 31-7 -16 4x < 24 -16/4 X < 24/4 -4 X < 6 Interval notation :- [-4,6) Fall 2016 3 Math 012 Final Examination Answer Sheet Fall 2016 ANSWER: -4 X < 6 Interval notation :- [-4,6) WORK: (15/2)> -(15/4)b >5/2 30 > -15b > 10 2 > -b > 2/3 -2 < b < -2/3 Interval notation :- (2,23) 6 ANSWER: -2 < b < -2/3 Interval notation :- (2,23) 7 WORK: line that is perpendicular to it, need to nd the "nega ve reciprocal" of the other line's slope. To nd the slope of y=-(2/5)x -1 put it in "slope-intercept" form (that is, y = mx + b form): the slope of that line is -2/5 So the slope of the new line that is perpendicular to it is the nega ve reciprocal of -2/5. So I change the sign: 2/5. 4 Math 012 Final Examination Answer Sheet Fall 2016 take the reciprocal of that: 5/2 The point is (x, y) and the slope is m, so when you subs tute these values into y = mx + b, you just have to solve for b. So for new line, slope m = 5/2 and x = -1and y = 2 y=mx+b 2=-1(5/2)+b b=2+(5/2) b=9/2 Therefore the equa on of the new line y=(5/2)x + 9/2 For standard form, 2y=5x+9 5x-2y+9=0 ANSWER: standard form is 5x-2y+9=0 Use the \"drag and drop\" line and points to graph your line. WORK: 8 3x-2y= -8 2y =3x+8 y=3x/2 +4 y=(3/2)x +4 ( slope-intercept form) Slope is 3/2 y-intercept is 4 5 Math 012 Final Examination Answer Sheet ANSWER: :y=(3/2)x +4 ( slope-intercept form) Slope is 3/2 y-intercept is 4 Fall 2016 6 Math 012 Final Examination Answer Sheet Fall 2016 9 WORK: Let 2008 be the zero year => f(0) = 7288 Then 2011 is the third year => f(3)=8605 Slope =(8605 - 7288)/3 Slope = 439 Equa on be: y= 439 x + 7288 ANSWER: y= 439 x + 7288 WORK: = 3a5b5* 2a2b4 = 6a5+2b5+4 10 = 6a7b9 ANSWER: 6a7b9 WORK: 11 (-3x-2y4 * (-2x-2y-3))/4x4y3 6x-2-2y4-3/4x4y3 6x-4y/4x4y3 3x-4-4y1-3/2 3x-8y-2/2 3/2x8y2 ANSWER: 3/2x8y2 7 Math 012 Final Examination Answer Sheet 12 WORK: 4 -3 -3 (3x y ) (3)-3x-12y9) y9/27x12 ANSWER: y9/27x12 13 WORK: -2x5y-2 *(2x0y-3)2 -2x5y-2 *(4x0y--6) -8x5y--8 -8x5/y8 ANSWER: -8x5/y8 WORK: 14 (4x2 -7x4-8)-(6-x2+7x4 ) 4x2 -7x4-8 - 6+x2- 7x4 5x2 -14x4-14 ANSWER: 5x2 -14x4-14 Fall 2016 8 Math 012 Final Examination Answer Sheet 15 WORK: (a - 4)(7a2-8a+2) (7a3 -8a2+ 2a - 28a2 -32a -8) 7a3 - 36a2 - 30a -8 ANSWER: 7a3 - 36a2 - 30a -8 WORK: 16 5x2 = -17x +12 5x2 +17x-12=0 5x2+20x-3x-12=0 (5x-3)(x+4)=0 x=3/5, -4 ANSWER: x=3/5, -4 WORK: x2 + 8x -100 = - 8 17 x2+2*4*x +16-16-100= -8 x2+8x+16 =116-8 (x+4)2= 108 (x+4) = 108 x+4 = 63 x= -4 63 ANSWER: x= -4 63 Fall 2016 9 Math 012 Final Examination Answer Sheet Fall 2016 18 WORK: 3x2-2x =7 3x2-2x -7 =0 Here a= 3 ; b= -2 ;c=-7 x= -(-2)((-2)2-4(3)(-7)/2*3 x=2(4+84)/6 x= (1 22)/3 ANSWER: x= (1 22)/3 WORK: 19 (4x3+8x2)/(x2-6x-16) 4x2(x+2)/x2-8x+2x-16 4x2(x+2)/(x+2)(x-8) 4x2/(x-8) ANSWER: 4x2/(x-8) WORK: 20 1/(2x2-16x+30) + (x-3)/(2x-10) = 1/(x2-8x+15) (2x-10)-(x-3)(2x2-16x+30)/2(x2-8x+15)(2x-10) = 1/(x2-8x+15) 2(x-5)-2(x-3)((x-5)(x-3)/4(x-3)(x-5)(x-5) = 1/(x-5)(x-3) (x-5)(2-2(x-3)(x-3))/4(x-5)(x-3)(x-5) 2-2(x-3)(x-3)=4 (x-3)(x-3) = -1 x=2,2 Check answer :At x=2 10 Math 012 Final Examination Answer Sheet Fall 2016 1/(2x2-16x+30) + (x-3)/(2x-10) = 1/(x2-8x+15) 1/(2(2)2-16(2)+30) + (2-3)/(2(2)-10) = 1/((2)2-8(2)+15) ANSWER: X=2,2 WORK: 108x2yz3 6xz3yz 21 ANSWER: 6xz3yz WORK: (5+ 2)( -2 +52) 22 -10 +252 -22 +10 232 ANSWER: 232 WORK: 23 x=4 + (51 -6x) x - 4 = (51 -6x) Squaring both side 11 Math 012 Final Examination Answer Sheet Fall 2016 (x - 4)2 = ( (51 -6x))2 x2-8x+16 =51 -6x x2 -8x+6x +16-51=0 x2 -2x -35 =0 (x-7)(x+5)=0 x=7,-5 Check answer :At x=7 7 = 4+(51 -6*7) 7=4+(51 - 42) 7=4+9 7=4+3 7=7 WORK: 24 Carlos average speed = 27km/h Carlos travelled me = t Carlos distance = 27(t) Alberto average speed = 45km/h Alberto travelled me = t+2 Alberto distance = 45(t+2) Therefore, 27(t)= 45(t+2) t= 5 hour 12 Math 012 Final Examination Answer Sheet Fall 2016 ANSWER: t= 5 hour WORK: A = P(1 + r/n)nt Principal (P): $35,000.00 Rate (R): 5.75% Time (t in years): 18 A=$35000(1+5.75/100*4)4*18 25 A = $ 97,805.37 ANSWER: A = $ 97,805.37 13 Math 012 Intermediate Algebra Name______________________________ Final Examination: Fall 2016 Instructor __________________________ Answer Sheet Instructions: This is an open-book exam. You may refer to your text and other course materials as you work on the exam and you may use a calculator. Record your answers and show your work on this document. You must show your work to receive credit: answers given with no work shown will not receive credit. You may type your work using plain-text formatting or an equation editor, or you may hand-write your work and scan it. If you choose to scan your work, note that most scanners have a setting that will allow you to create one PDF document from all of the pages of your Answer Sheet - please make use of this option if it is available on your scanner. Whether you type your work or write it by hand, show work neatly and correctly, following standard mathematical conventions. Each step should follow clearly and completely from the previous step. If necessary, you may attach extra pages. You must complete the exam individually. Neither collaboration nor consultation with others is allowed. Your exam will receive a zero grade unless you complete the following honor statement. Please sign (or type) your name below the following honor statement: I have completed this final examination myself, working independently and not consulting anyone except the instructor. I have neither given nor received help on this final examination. Name _______________ Date___________________ Proble m Number Solution 1 WORK: 7x + 7 + 5x + 1 = 2(x - 5) + 6(2x - 2) 12x+8=2x-10 + 12x-12 12x+8=14x-22 2x=30 x=15 Math 012 Intermediate Algebra Name______________________________ Final Examination: Fall 2016 Instructor __________________________ Answer Sheet Instructions: This is an open-book exam. You may refer to your text and other course materials as you work on the exam and you may use a calculator. Record your answers and show your work on this document. You must show your work to receive credit: answers given with no work shown will not receive credit. You may type your work using plain-text formatting or an equation editor, or you may hand-write your work and scan it. If you choose to scan your work, note that most scanners have a setting that will allow you to create one PDF document from all of the pages of your Answer Sheet - please make use of this option if it is available on your scanner. Whether you type your work or write it by hand, show work neatly and correctly, following standard mathematical conventions. Each step should follow clearly and completely from the previous step. If necessary, you may attach extra pages. You must complete the exam individually. Neither collaboration nor consultation with others is allowed. Your exam will receive a zero grade unless you complete the following honor statement. Please sign (or type) your name below the following honor statement: I have completed this final examination myself, working independently and not consulting anyone except the instructor. I have neither given nor received help on this final examination. Name _______________ Date___________________ Proble m Number Solution 1 WORK: 7x + 7 + 5x + 1 = 2(x - 5) + 6(2x - 2) 12x+8=2x-10 + 12x-12 12x+8=14x-22 2x=30 x=15