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Midterm Extra Review Multiple Choice Identify the choice that best completes the statement or answers the question. Height 1. Identify the graph that displays the height of a ping pong ball after it is dropped. a. c. Height ____ Time Height d. Height b. Time ____ Time Time 2. During a snowy day, it snowed lightly for a while, stopped for a while, snowed heavily, and then stopped. Which graph represents the situation? Total snowfall c. Total snowfall a. Time Total snowfall d. Total snowfall b. Time Time 3. Evaluate the following expression if x = 10, y = 4, and z = 4. Name the property used in the equation. Then find the value of n. 4. 5. Solve the equation. Then check your solution. 6. 7d + d – d + 4 = 5d 7. 1 2 (15 + 7g) = 8. 9. 7d + 3d – 6d – 9 5d = 0 Time 10. Solve. 11. A 16-oz bottle of water costs $1.28. What is the cost per ounce? 12. Solve the proportion. The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation. 13. The table shows the cost of a ski rental package for a given number of people. People Cost ($) 4 200 5 250 6 300 7 350 What are the slope and y-intercept of the graph of the given equation? 14. y = 3.4x + 2.3 Write an equation of a line with the given slope and y-intercept. 15. m = 2, b = 1 2 Graph the equation. 16. y = –3x – 2 y 10 9 8 7 6 5 4 3 2 1 –10 –9 –8 –7 –6 –5 –4 –3 –2 –1 –1 –2 –3 –4 –5 –6 –7 –8 –9 –10 1 2 3 4 5 6 7 8 9 10 x 17. The table shows the height of an elevator above ground level after a certain amount of time. Model the data with an equation. Let y stand for the height of the elevator in feet and let x stand for the time in seconds. Time (s) Height (ft) 10 276 20 262 40 234 60 206 18. Elaine has a business repairing home computers. She charges a base fee of $30 for each visit and $30 per hour for her labor. The total cost C for a home visit and x hours of labor is modeled by the function rule . Use the function rule to make a table of values and a graph. x 0 1 2 3 C C x Determine the best method to solve the system of equations. Then solve the system. 19. 20. 21. 22. 23. 24. For each word problem, define a variable(s). Then setup and solve. 25. School guidelines require that there must be at least 2 chaperones for every 25 students going on a school trip. How many chaperones must there be for 77 students? 26. A taxi cab charges $2.50 for the first mile and $0.35 for each quarter mile after that. John’s taxi ride to the airport was 15.75 miles. What was his fare? 27. Sarah brought two 16-ounce water bottles with her on a bike ride. She drank 75% of one of the bottles and 50% of the other by the halfway point of her ride. How many ounces of water does she have remaining? 28. Giselle pays $220 in advance on her account at the athletic club. Each time she uses the club, $15 is deducted from the account. Model the situation with a linear function and a graph. 29. Tom has a collection of 30 CDs and Nita has a collection of 18 CDs. Tom is adding 1 CD a month to his collection while Nita is adding 5 CDs a month to her collection. Find the number of months after which they will have the same number of CDs. 30. Christie has a total of 15 pieces of fruit, all bananas and apples, worth $1.59. Bananas are 13 cents each and apples are 7 cents each. How many bananas and how many apples does she have? Midterm Extra Review Answer Section MULTIPLE CHOICE 1. D 2. A SHORT ANSWER 3. 4. 5. 6. 7. 8. 9. 10. 11. 98 Multiplicative Identity; 1 Substitution; 8 2 –2 –4.4 9 p = 24 $0.08/oz 26 12. 3 13. dollars per person; the cost is $50 for each person. 14. The slope is 3.4 and the y-intercept is 2.3. 1 15. y = 2x – 2 16. y 10 8 6 4 2 –10 –8 –6 –4 –2 –2 –4 –6 –8 –10 17. 18. x 0 1 C 30 60 2 4 6 8 10 x 2 3 90 120 C 280 240 200 160 120 80 40 1 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 2 3 4 5 6 x (7, 17) (1, 3) (1, 1) (–0, –1) (1, 2) (–0, 3) 7 chaperones $23.15 12 ounces b Athletic Club Account 320 280 Balance ($) 240 200 160 120 80 40 1 2 3 4 5 6 7 Number of Visits b = 220 – 15x 29. 3 months 30. 9 bananas, 6 apples 8 9 x