Chapter 7 Practice 7-1 Graphing on a Coordinate Plane Give the coordinates AND quadrant of each point. 1. F 2. X 3. T 4. B 5. D 6. R 7. H 8. Y Graph and label each point on the coordinate plane. 9. A(2 1, 1) 10. B(0, 4) 2 11. C(2, 1.5) 12. D( 2, 3.5) 13. E( 2 1 3, 0) 14. F( 1 1 2, 3) Use the formulas to find the distance between each pair of points. 15. A and B 16. C and D 17. D and E 18. E and F
Give the coordinates AND quadrant of each point. 19. M 20. B 21. Z 22. Q 23. N 24. T 24. Y 26. I Graph and label each point on thw coordinate plane. 27. F 6 1, 4 1 28. G 3, 6 1 2 2 2 29. H(1, 6.5) 30. I(4, 3) 31. J 4, 2 1 2 32. K(1, 7) 33. L( 2, 7) 34. M( 6.5, 3.5) 35. Connect the points in order (from #27 to #34). What shape did you make? 36. What is the distance between point G and point H? 37. What is the distance between point L and point K?
Chapter 7 Practice 7-2 Ordered Pairs Determine whether each ordered pair is a solution of y 4 2x. 1. (1, 1) 2. (2, 8) 3. (0, 4) 4. (8, 2) Determine whether each ordered pair is a solution of y 3x 2. 5. (1, 1) 6. (3, 7) 7. (5, 15) 8. (6, 16) Use the given values to complete the table of solutions. 9. y x 5 for x 0, 1, 2, 3, 4 10. y 3x 1 for x 1, 2, 3, 4, 5 x x 5 y (x, y) x 3x 1 y (x, y) 0 1 2 3 4 11. y 2x 6 for x 0, 1, 2, 3, 4 x 2x 6 y (x, y) 0 1 2 3 4 1 2 3 4 5 12. y 4x 2 for x 2, 4, 6, 8, 10 x 4x 2 y (x, y) 13. Alexis opened a savings account with a $120 deposit. Each week she will put $20 into the account. The equation that gives the total amount t in her account is t 120 20w, where w is the number of weeks since she opened the account. How much money will Alexis have in her savings account after 5 weeks? 2 4 6 8 10
Determine whether each ordered pair is a solution of y 6x 4. 14. (1, 2) 15. (3, 18) 16. (5, 34) 17. (7, 38) Use the given values to complete the table of solutions. 18. y 2x 5 for x 0, 1, 2, 3 19. y 5x 10 for x 2, 3, 4, 5 x 2x 5 y (x, y) x 5x 10 y (x, y) 0 1 2 3 2 3 4 5 20. y 3 2x for x 1, 2, 3, 4 x 3 2x y (x, y) 1 2 3 4 21. y 3x 9 for x 0, 1, 2, 3 x 3x 9 y (x, y) 0 1 2 3 22. Each hour Maggie baby-sits she charges $2 plus $0.75 for each child. Write an equation for Maggie s hourly rate h in terms of the number of children c. Then solve the equation to find the hourly rate when Maggie baby-sits 3 children. Original content Copyright by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. 8 Holt McDougal Mathematics
Chapter 7 Practice 7-3 Interpreting Graphs The table gives the speed of three dogs in mi/h at the given times. Tell which dog corresponds to each situation described below. Time 5:00 5:01 5:02 5:03 5:04 Dog 1 0 1 12 0 0 Dog 2 5 23 4 0 0 Dog 3 14 0 18 2 9 1. Leshaan walks his dog. Then he lets the dog off the leash and it runs around the yard. Then they go into the house and the dog stands eating from his dog dish and drinking from his water bowl. 2. Luke s dog is chasing its tail. Then it stops and pants. The dog then runs to the backyard fence and walks along the fence, barking at a neighbor. Then it runs to Luke at the back door. Tell which graph corresponds to each situation in Exercises 1 2. 3. 4. 5. Create a graph that illustrates the temperature inside the car. Location Temperature on Arrival Temperature on Departure Home 74 at 8:30 Summer job 77 at 9:00 128 at 12:05 Pool 92 at 12:15 136 at 2:30 Library 95 at 2:40 77 at 5:10 22 Holt McDougal Mathematics
The table gives the speed of three animals in mi/h at the given times. Tell which animal corresponds to each situation described below. Time 5:00 5:01 5:02 5:03 5:04 Animal 1 0 0 11 1 0 Animal 2 0 7 0 32 0 Animal 3 0 17 0 14 5 6. A pig sits in the mud, then chases after another pig. It then walks back to the mud puddle and sits down. 7. A rabbit sits in the yard. It then hops across the yard. It stops when it sees something move. Then it runs across the yard and darts into some shrubs and stays there. Tell which graph corresponds to each situation in Exercises 1 2. 8. 9. 10. Create a graph that illustrates the temperature inside the car. Location Temperature on Arrival Temperature on Departure Home 17 at 7:30 Work 65 at 8:00 32 at 5:00 Restaurant 57 at 5:15 32 at 6:15 Theater 58 at 6:30 24 at 9:30 22 Holt McDougal Mathematics
Eighth Grade 2004 pg. 32
Eighth Grade 2004 pg. 33
Chapter 7 Practice 7-4 Equations, Tables, and Graphs 1. The amount of water in a tank being filled is represented by the equation g 20m, where g is the number of gallons in the tank after m minutes. Complete the table and sketch a graph of the equation. m 20m g 0 1 2 3 4 2. Use the table to make a graph and to write an equation. x 0 2 5 8 12 y 4 6 9 12 16 3. Use the graph to make a table and to write an equation. x y
4. The depth of a submarine is represented by the equation d 25m, where d is the depth in feet of the submarine after m minutes. Complete the table and sketch a graph of the equation. m 25m d 0 1 2 3 4 5. Use the table to make a graph and to write an equation. x 0 2 5 8 9 y 1 1 4 7 8 6. Use the graph to make a table and to write an equation. x y
Chapter 7 Practice 7-5 Graphing Linear Equations Graph each equation and tell whether it is linear. 1. y 2x 5 2. y x 2 1 Determine whether the rates of change are constant or variable. 3. x 0 1 2 4 5 y 3 4 5 6 7 4. x 2 4 6 8 12 y 7 9 11 13 17 5.A real estate agent commission may be based on the equation C 0.06s 450, where s represents the total sales. If the agent sells a property for $125,000, what is the commission earned by the agent? Graph the equation and tell whether it is linear.
Graph each equation and tell whether it is linear. 1. y 3x 2. y x 5 Determine whether the rates of change are constant or variable. 3. x 7 5 3 1 1 4. x 11 14 17 23 26 y 4 5 6 7 8 y 19 15 11 7 4 5. Mrs. Blanche grades a math test with a curve based on the formula G 5.5p 10, where G is the curved grade and p represents the number of problems correct. If Sebastian had 10 problems correct, Alisha had 12 problems correct, and Miguel had 14 problems correct, what was each student s curved grade? Graph the equation and tell whether it is linear.
Chapter 7 Practice 7-6 Slope of a Line Find the slope of each line. 1. 2. Find the slope of the line that passes through each pair of points. 3. ( 2, 8), (1, 4) 4. ( 2, 0), (0, 4), 5. (0, 4), (4, 4) 6. (3, 6), (2, 4) 7. ( 3, 4), (3, 4) 8. (3, 0), (0, 6), 9. (3, 2), (3, 2) 10. ( 4, 4), (3, 1) 11. The table shows the distance Ms. Long had traveled as she went to the beach. Use the data to make a graph. Find the slope of the line and explain what it shows. Time (min) Distance (mi) 8 6 12 9 16 12 20 15
Find the slope of each line. 12. 13. 14. 15.
Chapter 7 Practice 7-7 Using Slopes and Intercepts Find the x-intercept and y-intercept of each line. Use the intercepts to graph the equation. 1. x y 3 2. 2x 3y 12 Write each equation in slope-intercept form, and then find the slope and y-intercept. 3. 3x y 0 4. 2x y 15 5. x 5y 10 Write the equation of the line that passes through each pair of points in slope-intercept form. 6. (3, 4), (4, 6) 7. ( 1, 1), (2, 10) 8. (6, 5), ( 9, 20)
9. A pizzeria charges $8 for a large cheese pizza, plus $2 for each topping. The total cost for a large pizza is given by the equation C 2t 8, where t is the number of toppings. Graph the equation for t between 0 and 5 toppings, and explain the meaning of the slope and y-intercept. Write each equation in slope-intercept form, and then find the slope and y-intercept. 10. y 3x 10 11. 3y 2x 9 12. 6y 2x 1 2 Write the equation of the line that passes through each pair of points in slope-intercept form. 13. (3, 4), ( 1, 4) 14. (6, 10), (12, 14) 15. (9, 3), (9, 5)