IUPUI Department of Mathematical Sciences Departmental Final Examination PRACTICE FINAL EXAM VERSION #1 MATH

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1 IUPUI Department of Mathematical Sciences Departmental Final Eamination PRACTICE FINAL EXAM VERSION #1 MATH College Algebra Eam directions similar to those on the departmental final. 1. DO NOT OPEN this test booklet until ou are told to do so.. This is NOT the eam for MATH or There are 8 pages in this eam with problems 1 to 4 and a bonus problem. 4. You MUST get a new eam from the proctor if our eam is incomplete. 5. PRINT our name and student ID# below. 6. MARK our section below. 7. You will have two hours to complete this eamination. 8. A TI-30Xa calculator is permitted, no other calculator is allowed. 9. No scrap paper, notes, books, or collaborators are allowed. 10. Eact answers ma contain π or radicals or logarithms. 11. Simplif all answers completel. 1. Problems involving units must have the units represented on the answer to receive full credit. Name (Print Clearl) Student ID# Practice Departmental Final Eam Recommendations to Students: Take this practice final eam like an actual eamination (not like doing homework). That is, create an eam like atmosphere. This practice eam should be taken after completing a thorough review of the material. Set aside a two-hour block of time with no interruptions (no facebook, teting, phone calls, restroom breaks, etc.). Do not use an help aids, such as notes, tetbook, internet, scrap paper, MAC staff, etc. Work through all problems noting which concepts ou know well and which ones ou need to spend more time on. Grade our eam using the answers in the back of our tetbook (the tetbook section and eercise number is noted at the top right of each problem). Rework an problem on the eam that ou missed and then work similar problems from the tetbook until ou can perform the operations without error. Follow the same recommendations for taking the Practice Final Eam Version #. Math Practice Final Version 1 Page 1 of 9

2 MATH Practice Final (Version #1) TEXTBOOK: Swokowski & Cole, Algebra & Trigonometr with Analtic Geometr, Classic 1th Edition To receive full credit ou must show all our work and simplif all answers completel. Be sure to check our final answers for errors. Problems involving units must have the units represented on the answer to receive full credit. 1. Simplif. (1. #9) ( 5 )( 4 ) 1. (4). Factor the polnomial. (1.3 #97) (4) 3. Simplif the epression. (1.4 #37) ( ) 1 3. (4) 4. Solve for the specified variable. (.1 #73) S = q + p p( 1 q) for q 4. (4) MATH Practice Final Version 1 Page of 9

3 5. Movie attendance Si hundred people attended the premiere of a motion picture. Adult tickets cost $9, and children were admitted for $6. If bo office receipts totaled $4800, how man children attended the premiere? (. #11) 5. (4) 6. Fencing a region A farmer plans to enclose a rectangular region, using part of his barn for one side and fencing for the other three sides. If the side parallel to the barn is to be twice the length of an adjacent side, and the area of the region is to be 18 ft, how man feet of fencing should be purchased? (.3 #66) 6. (4) 7. Write the epression in the form a + bi, where a and b are real numbers. (.4 #3) 4 + 6i + 7i 7. (4) 8. Solve for the specified variable. (.5 #55) S = π r r + h for h 8. (4) MATH Practice Final Version 1 Page 3 of 9

4 9. Solve the inequalit, and epress the solutions in terms of intervals whenever possible. (.6 #33) 3 4 > 7 9. (4) 10. Solve the inequalit. Epress the solution in interval notation. (.7 #37) (4) 11. Given the points A( 4, 3) and B(6, ). (3.1 #9) (a) Find the distance d ( A, B) between A and B. 11(a) () (b) Find the midpoint of the segment AB. 11(b) () MATH Practice Final Version 1 Page 4 of 9

5 1. Sketch the graph = 4, and label the - and -intercepts. (3. #0) (4) 13. For the given circle, find the -intercepts. (3. #67) = (4) 14. Given the points A ( 3, 1) and B(,6). Find an equation (in slope-intercept form) for the perpendicular bisector of segment AB. (3.3 #37) 14. (4) MATH Practice Final Version 1 Page 5 of 9

6 15. Childhood growth For children between ages 6 and 10, height (in inches) is frequentl a linear function of age t (in ears). The height of a certain child is 48 inches at age 6 and 50.5 inches at age 7. (3.4 #71) (a) Epress as a function of t. 15(a) () (b) Predict the height of the child at age (b) () 16. Determine whether f is even, odd, or neither even nor odd. (3.5 #4) f ( ) = (4) 17. Height of a projectile An object is projected verticall upward from the top of a building with an initial velocit of 144 ft/sec. Its distance s(t) in feet above the ground after t seconds is given b the equation s ( t) = 16t + 144t (3.6 #41) (a) Find its maimum distance above the ground. 17(a) (4) (b) Find the height of the building. 17(b) () MATH Practice Final Version 1 Page 6 of 9

7 18. Given f ( ) = and g( ) =. (3.7 #7) (a) Find ( f / g)( ). 18(a) () (b) Find the domain of ( f / g)( ). 18(b) () 19. Given 3 f ( ) = (4.1 #3) (a) Find all values of such that f ( ) > 0and f ( ) < 0. 19(a) (4) (b) Sketch the graph of f. (4) MATH Practice Final Version 1 Page 7 of 9

8 0. Find the quotient and the remainder if is divided +. (4. #5) 0. (4) 1. Given the one-to-one function 3 f ( ) = + 1, find the inverse function, f 1 ( ). (5.1 #37) 1. (4) MATH Practice Final Version 1 Page 8 of 9

9 . Sketch the graphs and dash in the asmptotes. (5.3 #1) a) Graph f ( ) = e. () b) Graph f ( ) = e. () 3. Radioactive iodine deca Radioactive iodine 131 I is frequentl used in tracer studies involving the t throid gland. The substance decas according to the A( t) = A 0 a, where A 0 is the initial dose and t is the time in das. Find a, assuming the half-life of 131 I is 8 das. (5.4 #73) 3. (4) 4. Find the eact value for the solution of the equation. (5.6 #19) ( + 4) log( + ) = + log( ) log 4. (4) Bonus: If $1000 is invested at a rate of 7% per ear compounded monthl, find the balance after 6 months. (5. #41) MATH Practice Final Version 1 Page 9 of 9 Bonus: (4)

IUPUI Department of Mathematical Sciences Departmental Final Examination PRACTICE FINAL EXAM VERSION #1 MATH Trigonometry

IUPUI Department of Mathematical Sciences Departmental Final Examination PRACTICE FINAL EXAM VERSION #1 MATH 15400 Trigonometry Exam directions similar to those on the departmental final. 1. DO NOT OPEN