MAP4C EXAM REVIEW. the 23 angle? Name:

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1 MAP4C EXAM REVIEW Note: Completing this exam review is not sufficient to prepare you for your final exam. Please review all the unit exam reviews, old quizzes/tests, and notes. 1. Calculate the following (4 decimal places) sin 30 cos G is an angle in a triangle. Determine all measures of G. sin G = 0.62 d. tan G = cos G = e. cos G = tan G = 0.21 f. sin G = In this triangle, the side adjacent to an angle of 23 is 12 cm long. How long is the side opposite the 23 angle? 4. Based on the triangle below, write the ratio for: Tan A A Sin A 2 5 B 3 C 5. For each table of values, state whether the data models a linear, quadratic, or exponential relation. x y T C

2 x y Identify which type of relation each equation represents. d. 7. Using trigonometry (SOHCAHTOA, Sine Law, Cosine Law) find the following: Find C A B C D Find the side length, f f 32 cm E F i G H Find the side length, i 23 m m I 2

3 8. The data below is the birth weight, in grams, for newborn babies born in the summer at the local hospital Calculate the mean, median and mode for the dat 9. The data below are the exam marks for a class of 20 students a) Calculate the three quartiles for this data set. b) Mary s mark is in the 37 th percentile for this group. What was Mary s mark on the exam? 3

4 10. Rearrange each formula, for the indicated variable. isolate r isolate e 11. Determine the area of this composite figure in square feet. Note: The curve is a semicircle. (1 m feet). 12. Calculate the rate of change in this table. What does the rate of change represent? Time Height of airplane (min) (m) Write each expression as a single power, then evaluate. d. 4

5 14. Evaluate. Express your answers as whole numbers or fractions (No decimals) Simplify the following expressions. 16. Evaluate. Express your answers as whole numbers or fractions (No decimals) 17. Solve for x. Assume x is positive. Show your work. d. 18. Solve algebraically. 5

6 d. 19. The population, P, of the city Hazelton has grown according to the mathematical model:, where t is the number of years since a) What do the numbers and 1.09 represent? b) What is the population after 4 years? c) If this trend continues, in what year will the population reach ? 20. Webber has to build a storage box with a volume of 15 cubic feet. For parts, (a) and (b), round your answers to two (2) decimal places. Determine the dimensions of the box with minimum surface are Determine the surface area of the box you found in part (a). Suppose Webber has 5 m 2 of plywood. Is this enough to build the box? (1 foot m) 6

7 21. Kyle wants to save $ for his first year of college. He deposits $300 at the end of each month in an account that earns 5.6% per year compounded monthly. Will He have enough money saved at the end of 3 years? Justify your answer. 22. Chloe borrows money to buy a laptop. She will repay the loan by making monthly payments of $ per month for the next two years at an interest rate of 7.75$ per year compounded monthly. How much did Chloe borrow? How much interest does she pay? 23. Henry gets a small business loan for $ to start his restaurant. He will repay the loan with equal payments over 5 years at 8.4% per year compounded monthly. What is Henry s monthly loan payment? What is the total amount he repays? How much of the amount repaid is interest? 7

8 24. For each table, decide whether it illustrates one-variable or two-variable dat Explain why. Household Size Number of TVs in household Student Vince Mayssa Sarah Gabe Alicia Taylor Dollars Laser Tag Play (min) Cost ($) For each part, state whether you think the two variables would have a positive correlation, a negative correlation, or no correlation and why. The number of people play a board game and the likelihood that you will win The number of people in a household and the monthly household water use The size of pizza and the number of toppings on it 26. List four different methods/techniques to have a valid survey. 8