Name Chapter 6 Homework Packet Week #16 Write a system of equations to represent each problem situation. Solve the system of equations using the substitution method or linear combinations method. Then, answer any associated questions. 1. The high school marching band is selling fruit baskets as a fundraiser. They sell a large basket containing 10 apples and 15 oranges for $20. They sell a small basket containing 5 apples and 6 oranges for $8.50. How much is the marching band charging for each apple and each orange? Period 4. Marcus is selling t-shirts at the State Fair. He brings 200 shirts to sell. He has long-sleeve and short-sleeved T-shirts for sale. On the first day of the fair, he sells of his long-sleeved T-shirts and of his short-sleeved T- shirts for a total of 80 T-shirts sold. How many of each type of T-shirt did Marcus bring to the fair? 2. Asna works on a shipping dock at a tire manufacturing plant. She loads a pallet with 4 Mudslinger tires and 6 Roadripper tires. The tires on the pallet weigh 212 pounds. She loads a second pallet with 7 Mudslinger tires and 2 Roadripper tires. The tires on the second pallet weigh 184 pounds. How much does each Mudslinger tire and each Roadripper tire weigh? 5. Weston wants to buy a one-year membership to a golf course. Rolling Hills Golf Course charges a base fee of $200 and an additional $15 per round of golf. Majestic View Golf Course charges a base fee of $350 and an additional $10 per round of golf. Determine the number of rounds of golf for which both golf courses charge the same amount. Explain which golf course Weston should become a member at depending on the number of rounds he intends to play. Chapter 7 3. The Pizza Barn sells one customer 3 large pepperoni pizzas and 2 orders of breadsticks for $30. They sell another customer 4 large pepperoni pizzas and 3 orders of breadsticks for $41. How much does the Pizza Barn charge for each pepperoni pizza and each order of breadsticks? Graph each linear inequality. 6.
7. Write a system of linear inequalities that represents each problem situation. Remember to define your variables. 10. A company manufactures at most 20 mattresses each day. The company produces a twin size mattress and a queen size mattress. Its daily production goal is to produce at least 5 of each type of mattress. Write a system of linear inequalities that represents the number of each type of mattress that can be produced. Graph each system of linear inequalities and identify two solutions. Chapter 8 11. Construct a dot plot to display the number of canned goods donated by each student during a charity event. The data are 15, 18, 18, 22, 13, 15, 19, 17, 18, 17, 16, 10, 17, 20, 19, 25, 17, 18, 19, and 16. 8. 9. 12. Determine which measure of center best describes the given data display. Then determine the mean and median, if possible. If it is not possible, explain why not.
13. Average Annual Snowfall in Select U.S. Cities Chapter 10 Organize the data set into a frequency marginal distribution table. 16. Class Favorite Subject Class Favorite Subject A Algebra B History A English B Algebra B History A English B History B Algebra B Algebra A English A Algebra A History A English B Algebra B English B Algebra Calculate the IQR of the given data set. Determine whether there are any outliers in the set and list them. 14. The data are 9, 15, 26, 30, 32, 32, 35, 36, 38, 40, 40, 45, and 59. A English A History B History A English Calculate the mean and the standard deviation of the data set without the use of a calculator. 15. The data are 0, 3, 6, 7, and 9.
17. Construct a bar graph to represent the data set shown in the frequency marginal distribution table. 18. Complete the relative frequency marginal distribution for the frequency marginal distribution.
19. Construct a stacked bar graph of the relative frequency distribution. 20. Complete the relative frequency conditional distribution for the twoway table. Chapter 12 Calculate the distance between the given pair of points. Round your answer to the nearest tenth, if necessary. 21.
22. Use a compass and straightedge to duplicate. Construct the angle bisector of each given angle. 25. 23. Determine the midpoint of a line segment with the set of given endpoints. Determine whether each pair of lines are parallel, perpendicular, or neither. Explain your reasoning. 26. line n: 27. line p: line m: line q: 24. Locate the midpoint of the line segment using construction tools and label it point M. 28. line r: line s: 29. What is the equation of a line parallel to that passes through (3, 1)? 30. What is the equation of a line perpendicular to that passes through (12, 3).