MAE 4114 Midterm Exam Part 2 FA2023

MAE 4114 Midterm Exam – Part 2 This portion of the exam is worth a total of 25 points. Write your answers on a separate sheet of paper. Be sure to include the number for the problem and show your work. 1. Ordering Fractions [4 points]. Identify where each of the following fractions should be placed on the number line by recording the corresponding letter. Write your answer as a capital letter. Explain how you decided on your answer. a) 3 / 8 b) 3 / 5 2. Computation, Subtraction [2 points]. Create a single digit minus single digit subtraction problem. Use a number line to show your work and solve the problem. 3. Computation, Multiplication [3 points]. Create a single digit times single digit multiplication problem. Represent your problem as repeated addition, an array, and a tessellated array. 4. Multiplying Fractions [2 points]. Use an area model to show the answer for 5 / 6 × 2 / 3 . Then, use the procedural algorithm to check your answer. 5. Dividing Decimals Algorithm [2 points]. Use the algorithm for dividing decimals to solve 15.1  1.2. 6. Venn Diagram – GCF and LCM [4 points]. Use a Venn diagram to find the greatest common factor (GCF) and least common multiple (LCM) for 90 and 135. 7. Function application [4 points]. A pair of shoes sells for $45. The cost, including labor and materials to make one pair of shoes, is $23. a) Write an equation that calculates the revenue, R , for selling x shoes. b) Write an equation that calculates the cost, C , for selling x shoes. c) A company pays $300 per week to store unsold shoes. Write a function for total cost, T , to the company per week that includes labor, materials, and storage. d) The table below shows the number of shoes sold each week during a month. Did the company make a profit for the month? Include your work to show how you decided on your answer. Note: Profit = Revenue – Total Cost. Week Number of Shoes Sold 1 5 2 10 3 15 4 20