Segment 2 Exam Review #1 High School Mathematics for College Readiness (Segment 2) / Math for College Readiness V15 (Mr. Snyder) Student Name/ID: 1. Factor. 2. Factor. 3. Solve. (If there is more than one solution, separate them with commas.) 4. Solve where is a real number. Simplify your answer as much as possible. ALEKS Segment 2 Exam Review #1-08/01/2014 1:46:48 AM EDT - Copyright 2014 UC Regents and ALEKS Corporation. P. 1/17
5. Fill in the blank to make the expression a perfect square. 6. Use the quadratic formula to solve for. Round your answer to the nearest hundredth. ALEKS Segment 2 Exam Review #1-08/01/2014 1:46:48 AM EDT - Copyright 2014 UC Regents and ALEKS Corporation. P. 2/17
7. Use the graph to determine the behavior of the function between the indicated points. ALEKS Segment 2 Exam Review #1-08/01/2014 1:46:48 AM EDT - Copyright 2014 UC Regents and ALEKS Corporation. P. 3/17
8. Use the graph of the function below to find the following. All values at which has a local minimum All local minimum values of If there is more than one answer, separate them with commas. 9. Graph the line with slope passing through the point ALEKS Segment 2 Exam Review #1-08/01/2014 1:46:48 AM EDT - Copyright 2014 UC Regents and ALEKS Corporation. P. 4/17
10. For each scenario below, choose the graph that gives the best representation. 11. Graph the parabola. ALEKS Segment 2 Exam Review #1-08/01/2014 1:46:48 AM EDT - Copyright 2014 UC Regents and ALEKS Corporation. P. 5/17
12. Below is the graph of Translate it to make it the graph of 13. Find the area of this parallelogram. Be sure to include the correct unit in your answer. ALEKS Segment 2 Exam Review #1-08/01/2014 1:46:48 AM EDT - Copyright 2014 UC Regents and ALEKS Corporation. P. 6/17
14. Find the area and the circumference of a circle with radius Use the value for and do not round your answers. Be sure to include the correct units in your answers. 15. A rectangle is placed around a semicircle as shown below. The width of the rectangle is Find the area of the shaded region. Use the value for and do not round your answer. Be sure to include the correct unit in your answer. 16. The perimeter of a rectangular field is yards. If the length of the field is yards, what is its width? 17. Consider the line What is the slope of a line perpendicular to this line? What is the slope of a line parallel to this line? ALEKS Segment 2 Exam Review #1-08/01/2014 1:46:48 AM EDT - Copyright 2014 UC Regents and ALEKS Corporation. P. 7/17
18. Find the midpoint of the line segment joining the points = and = 19. Simplify. Be sure to write your answer in simplest form. 20. Simplify. 21. Simplify. ALEKS Segment 2 Exam Review #1-08/01/2014 1:46:48 AM EDT - Copyright 2014 UC Regents and ALEKS Corporation. P. 8/17
22. Rationalize the denominator and simplify. 23. Write the following as an exponential expression. 24. Simplify. ALEKS Segment 2 Exam Review #1-08/01/2014 1:46:48 AM EDT - Copyright 2014 UC Regents and ALEKS Corporation. P. 9/17
25. There are four high schools in the East School District. The double bar graph below shows how many boys and girls are at each school. Use this graph to answer the questions. (a) Estimate the number of boys at Kennedy. (b) Which schools have more boys than girls? (c) Which school has the most students total? 26. Each person in a community was asked, "What is your favorite type of pet?" The circle graph below summarizes their answers. (a)which category was chosen by approximately one-fourth of the community? (b)approximately what percentage of the community chose Other or Cat? 10% 30% 50% 70% ALEKS Segment 2 Exam Review #1-08/01/2014 1:46:48 AM EDT - Copyright 2014 UC Regents and ALEKS Corporation. P. 10/17
27. A movie club surveyed high school students. The students were asked how often they go to the movies and whether they prefer action movies or dramas. Their responses are summarized in the following table. Action Drama Twice a month or less Three times a month or more (a) What percentage of the students go to the movies three times a month or more? (b) What percentage of the students prefer dramas? 28. A sample of adults is selected. The adults are classified according to their voter registration status and their preferred source of current events information. The results are given in the contingency table below. Voting registration status Preferred source of information Television Newspapers Radio Internet sites Registered 27 27 15 29 Not registered 46 48 33 37 What is the relative frequency of adults in the sample who prefer to obtain their information through television? Round your answer to at least two decimal places. ALEKS Segment 2 Exam Review #1-08/01/2014 1:46:48 AM EDT - Copyright 2014 UC Regents and ALEKS Corporation. P. 11/17
29. The scatter plot shows the years of experience and hourly pay rate for each of cashiers in Florida. Also shown is the line of best fit for the data. Fill in the blanks below. a. b. For these points, as experience ( ) increases, pay ( ) tends to. (1). increase (2). decrease (3). stay the same For these cashiers, the correlation between experience and pay is. (1). negative (2). positive (3). zero c. Using the line of best fit, we would predict that a cashier with years of experience would make approximately dollars per hour. (1). 14.90 (2). 16.50 (3). 18.10 (4). 19.70 (5). 21.30 ALEKS Segment 2 Exam Review #1-08/01/2014 1:46:48 AM EDT - Copyright 2014 UC Regents and ALEKS Corporation. P. 12/17
30. The scatter plot shows the number of years of experience, and the hourly pay rate, for each of cashiers in Florida. Use the equation of the line of best fit, to answer the questions below. Give exact answers, not rounded approximations. (a) What is the predicted hourly pay rate for a cashier who doesn't have any experience? (b) For an increase of one year of experience, what is the predicted increase in the hourly pay rate? (c) What is the predicted hourly pay rate for a cashier with years of experience? ALEKS Segment 2 Exam Review #1-08/01/2014 1:46:48 AM EDT - Copyright 2014 UC Regents and ALEKS Corporation. P. 13/17
Segment 2 Exam Review #1 Answers for class High School Mathematics for College Readiness (Segment 2) / Math for College Readiness V15 1. 2. 3. 4. 5. 6., 7. 8. All values at which has a local minimum: All local minimum values of : ALEKS Segment 2 Exam Review #1-08/01/2014 1:46:48 AM EDT - Copyright 2014 UC Regents and ALEKS Corporation. P. 14/17
9. 10. 11. ALEKS Segment 2 Exam Review #1-08/01/2014 1:46:48 AM EDT - Copyright 2014 UC Regents and ALEKS Corporation. P. 15/17
12. 13. 14. Area: Circumference: 15. 16. yards 17. Slope of a perpendicular line: Slope of a parallel line: 18. = 19. 20. 21. 22. 23. 24. ALEKS Segment 2 Exam Review #1-08/01/2014 1:46:48 AM EDT - Copyright 2014 UC Regents and ALEKS Corporation. P. 16/17
25. (a) Estimate the number of boys at Kennedy. boys (b) Which schools have more boys than girls? Kennedy, Adams, and Hillview (c) Which school has the most students total? Hillview 26. 27. (a) (b) 28. 29. a. For these cashiers, as experience increases, pay tends to increase. b. For these cashiers, the correlation between experience and pay is positive. c. Using the line of best fit, we would predict that a cashier with approximately dollars per hour. years of experience would make 30. (a) What is the predicted hourly pay rate for a cashier who doesn't have any experience? (b) For an increase of one year of experience, what is the predicted increase in the hourly pay rate? (c) What is the predicted hourly pay rate for a cashier with years of experience? ALEKS Segment 2 Exam Review #1-08/01/2014 1:46:48 AM EDT - Copyright 2014 UC Regents and ALEKS Corporation. P. 17/17