Math 009 Final Exam Instructor: Irene Doo Your Name________________________________ Instructions: The final exam is worth 100 points. There are 25 problems, each worth 4 points. Your score on the final exam will be posted in your assignment folder with comments. This final exam allows open book and open notes, and you may take as long as you like on it provided that you submit the final exam no later than the due date posted in our course schedule of the syllabus. You may refer to your textbook, notes, and online classroom materials, but you may not consult anyone. You may use a calculator while working on the final exam. You should show all of your work to receive full credit. If you do not show work, you may earn only partial or no credit. You may type your work directly in the space provided for each question in the final exam. You may also hand-write your work directly in the space provided for each question in the final exam and scan the pages as a PDF or JPG file. Your final exam MUST be submitted using this final exam document. Other formats or files WILL NOT BE ACCEPTED. Be sure to include your name in the document. Review instructions for submitting your final exam in LEO. If you have any questions, please contact me by e-mail (irene.doo@faculty.umuc.edu). When you have completed your final exam, you must sign (or type) your name below the following honor statement. Without this signed statement you will receive a zero. I have completed this final exam myself, working independently and not consulting anyone except the instructor. I have neither given nor received help on this final exam. Name: _______________________________ Date: _______________________________ Please remember to show ALL of your work on every problem. Read the basic rules for showing work below BEFORE you start working on the final exam. a) Each step should show the complete expression or equation rather than a piece of it. b) Each new step should follow logically from the previous step, following rules of algebra. c) Each new step should be beneath the previous step. d) The equal sign, =, should only connect equal numbers or expressions. e) Solutions to word problems must follow the Requirements for Word Problem Solutions given on page 121 of the Elementary Algebra textbook. Math 009 Final Exam Page 2 Our textbook is full of good models of work shown correctly. If you have questions about showing work, please ask. Math 009 Final Exam 1) Simplify the expression. Show all work. 9 2 + 7 (8) 2 2) q 2+ 3) Evaluate the following expression if m=4 , and q=2 . Show all work. |m| 4 Simplify the expression. Show all work. 5 ( 55 x ) (9 x1) 4) Simplify the expression. Show all work and write the answer in lowest terms. 5 2 1 + + 6 5 3 ( ) Page 3 Math 009 Final Exam Page 4 5) If a 4.8 ft tall woman casts a 9.6 ft long shadow, then how tall is an adult elephant that casts a 17.2 ft shadow. 6) 57 is what percent of 141? Set up a percent equation to solve this problem. Round your answer to the nearest tenth of a percent. 7) Find the percentage change from 88 miles to 45 miles. Use the formula for percent increase or decrease to solve this problem. Round to the nearest tenth of a percent if necessary and state whether the change is an increase or a decrease. Math 009 Final Exam Page 5 8) Find the final price of the item below, given that the tax will be applied to the discounted price. Set up percent equations to solve this problem, and round your answer to the nearest cent. Original price of a computer: $3,500.00 Discount: 47% Tax: 3% 9) Use the simple interest formula to find the ending balance, given the following values for principal, rate, and time. $47,100 at 12.7% for 2 years 10) Solve the equation. Show all work and show the complete check of your answer. k 2+ =4 4 Math 009 Final Exam 11) Page 6 Solve the equation. Show all work and show the complete check of your answer. 48=7 ( 6 m3 ) 3(1+6 m) 12) Solve the equation. Show all work. You do not need to show the complete check of your answer. 5 3 19 p+ p= 3 2 10 13) Solve the equation. Show all work. You do not need to show the complete check of your answer. 1.38+ 2.1r =0.7+1.7 r Math 009 Final Exam 14) Page 7 Solve the inequality. Sketch the solution on a number line, then use interval notation to describe your solution. n 7>2 2 15) Solve the inequality. Sketch the solution on a number line, then use interval notation to describe your solution. 3 (33 v ) 3( v5) 16) Find the slope of the line. Assume that the scale on each axis is 1 unit per tick mark. Math 009 Final Exam 17) Page 8 Find the x- and y-intercepts of the line represented by the equation below. Plot both intercepts on a coordinate system and drawn the line through them. x+2 y =6 y x 18) Find at least three ordered pairs that satisfy the equation and sketch the graph of the line through them. 5 y +15=7 x y x Math 009 Final Exam 19) Write the slope-intercept form of the equation of the line through the points (5,2) and (1,5) . 20) Write the slope-intercept form of the equation of the line through (3,2) and 7 x2 . parallel to the line y= 3 21) Write the slope-intercept form of the equation of the line through (5,2) and 5 perpendicular to the line y= x4 7 Page 9 Math 009 Final Exam 22) Page 10 Solve the system of equations by the method of substitution. Write your answer as an ordered pair. y=2 x 7 x+4 y =3 23) Solve the system of equations by graphing both lines on one coordinate system. Write your answer as an ordered pair. x+ y=3 2 x y=3 y x Math 009 Final Exam 24) Page 11 Solve the system of equations by the method of elimination. Write your answer as an ordered pair. 2 x + y =7 12 x7 y=29 25) Amy and Molly are selling flower bulbs for a school fundraiser. Customers can buy bags of windflower bulbs and bags of daffodil bulbs. Amy sold 14 bags of windflower bulbs and 4 bags of daffodil bulbs for a total of $150. Molly sold 7 bags of windflower bulbs and 3 bags of daffodil bulbs for a total of $88. What is the cost each of one bag of windflower bulbs and one bag of daffodil bulbs? End of final exam: please do not forget to write and sign (or type) the required statement explained in the box on page 1 of the final exam