Lesson 8 Practice Problems
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1 Name: Date: Lesson 8 Skills Practice 1. Plot and label the points. A. (8, 2) B. (0, 0) C. (0, 5) D. (10, 10) E. ( 4, 4) F. ( 9, 1) G. ( 5, 0) H. (2, 8) 2. Give the coordinates of each of the points shown below. A. B. C. D. E. F.
2 3. Identify the graph that best represents the speed of a car coming to a stop at a red light. a. b. c. 4. Identify the graph that best represents the height of an arrow that has been shot straight up in the air, and lands on the ground. a. b. c. 5. Identify the graph that best represents the distance traveled by a car driving at a constant speed. a. b. c.
3 6. Which of the following ordered pairs satisfy the equation y = 2x 4. Circle all that apply, and show all supporting work (9, 22) (6, 5) ( 9, 14) (2, 0) ( 4, 0) 7. Which of the following ordered pairs satisfy the equation 3x 2y = 8. Circle all that apply, and show all supporting work (2, 1) ( 4, 0) (1, 8) ( 2, 7) ( 16, 8) 8. Which of the following ordered pairs satisfy the equation y = 1 x. Circle all that apply, and show all supporting work ( 7, 8) (0, 1) (3, 2) ( 1, 0) ( 20, 21) 9. Which of the following ordered pairs satisfy the equation y = 2x. Circle all that apply, and show all supporting work (6, 12) ( 1, 2) (4, 8) (0, 2) (0, 0)
4 10. Graph the equation y 4x 2. x y Ordered Pair 11. Graph the equation 2 y x 3. 5 x y Ordered Pair 12. Graph the equation y = 3 x. x y Ordered Pair
5 13. Graph the equation 4x 2y = 12. x y Ordered Pair 14. Graph the equation x y = 4. x y Ordered Pair 15. Graph the equation y = x. x y Ordered Pair
6 2 16. Graph the equation y x. 3 x y Ordered Pair 17. Graph the equation y = 4. x y Ordered Pair 18. Graph the equation x = 3 x y Ordered Pair
7 19. Complete the table below. Write the intercepts as ordered pairs. Equation Vertical Intercept Horizontal Intercept y = 5x 3 y = 4 x y = 4x y = 3 5x + 6y = 12 3x 4y = 24 x 2y = 8 x = 5
8 20. Consider the linear equation y = 5 2x a. Enter this linear equation into your graphing calculator. Use your graphing calculator to complete the table below x y b. Use your graphing calculator to sketch the graph of y = 5 2x. Use the standard viewing window (ZOOM 6) Xmin= 10, Xmax=10, Ymin= 10, Ymax=10. Draw what you see on your calculator screen. c. Use your graphing calculator to sketch the graph of y = 5 2x. Use viewing window Xmin= 0, Xmax= 3, Ymin= 0, Ymax= 5. Draw what you see on your calculator screen.
9 21. Consider the equation y = 2x 2 + 9x 51. a. Enter this equation into your graphing calculator. Use your graphing calculator to complete the table below x y b. Use your graphing calculator to sketch the graph of y = 2x 2 + 9x 51. Use the viewing window Xmin= 10, Xmax=10, Ymin= 70, Ymax=200. Draw what you see on your calculator screen Consider the equation y = 6 x. 3 a. Enter this equation into your graphing calculator. Use your graphing calculator to complete the table below. Round to the nearest hundredth as needed. x y b. Use your graphing calculator to sketch the graph of this linear equation. Use the viewing window Xmin= 0, Xmax=9, Ymin=0, Ymax=6. Draw what you see on your calculator screen.
10 Applications 23. The graph below shows Sally s distance from home over a 25 minute time period. a. What is the input variable? b. What are the units of the input variable? c. What is the output variable? d. What are the units of the output variable? e. Sally is 4 miles from home after minutes. f. After 15 minutes, Sally is miles from home. g. Interpret the meaning of the ordered pair (10, 12). h. Identify the vertical intercept. Write it as an ordered pair and interpret its meaning in a complete sentence. i. Identify the horizontal intercept. Write it as an ordered pair and interpret its meaning in a complete sentence.
11 24. The graph below shows the number of calories burned while riding a stationary bike. a. What is the output variable? b. Interpret the meaning of the ordered pair (8, 32). c. calories are burned in 10 minutes. d. 60 calories are burned in minutes. e. calories are burned in 16 minutes. f. 100 calories are burned in minutes. g. Identify the vertical intercept. Write it as an ordered pair and interpret its meaning in a complete sentence.
12 25. Consider the following data set. Years Since 1980 Sales (in millions of dollars) a. What is the input variable? b. What is the output variable? c. What were the sales in 2001? d. In what year did sales total $1,280,000? e. In a complete sentence, interpret the meaning of the ordered pair (10, 1.91). f. Use the values in the table to construct a properly scaled and labeled graph of the data.
13 26. The following data set gives the value of a car over time. Years since purchase Value in Dollars 0 20, , , , , ,883 a. What was the purchase price of the car? b. After one year the car will be worth what percent of its original value? c. After five years the car will be worth what percent of its original value? d. Use the values in the table to construct a properly scaled and labeled graph of the data.
14 27. A pebble falls from a bridge into the river below. Time (seconds) Height above the water (feet) a. What is the input variable? b. What is the output variable? c. How far did the pebble fall during the first second? d. In a complete sentence, interpret the meaning of the ordered pair (2, 68). e. Use the values in the table to construct a properly scaled and labeled graph of the data.
15 28. Jordan is saving money for emergencies (or a trip to Europe). She has $420 under her mattress, and is adding $60 to it each week. a. Let A represent the total amount of money under her mattress, and w represent the number of weeks. Write an algebraic equation to represent this situation. b. Use the equation in part a. to complete the table below. w A c. Interpret the meaning of the ordered pair (18, 1500). d. Use the values in the table to construct a properly scaled and labeled graph of the linear equation found in part a.
16 29. Jill is planning to sell bottled water at the local carnival. She buys 10 packages of water (240 bottles) for $66 and plans on selling the bottles for $1.50 each. Jill s profit, P in dollars, from selling b bottles of water is given by the formula P = 1.50b 66. a. Use your graphing calculator to complete the table below. b P b. Interpret the meaning of the ordered pair (84, 60). c. Identify the vertical intercept. Write it as an ordered pair and interpret its meaning in a complete sentence. d. Determine the horizontal intercept. Write it as an ordered pair and interpret its meaning in a complete sentence. e. Use your graphing calculator to generate a graph of this linear equation. Use the values in the table to determine your viewing window. In the space below, sketch what you see on your calculator screen and write down the viewing window you used. Xmin = Xmax = Ymin = Ymax=
17 Extension 30. Which of the following ordered pairs satisfy the inequality y > 2x + 1. Circle all that apply. (1, 8) (3, 7) (-1, -10) (-2, 9) (0, 0) 31. The graph below shows the distance traveled by a car. Draw a graph to represent the speed of the car during the same time period. 32. The graph below shows the speed of a car. Draw a graph to represent the distance traveled by the car during the same time period
18 33. Draw a graph to represent each situation. a. The height above the ground of a child swinging on a swing. b. Bill is walking to school when he realizes that he forgot his math book. He runs home to get it, and then jogs to school. c. The speed of a car stuck morning traffic.
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