Solving Systems by Graphing

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Solving Systems by Graphing ALGEBRA 1 LESSON 7-1 pages 343–345 Exercises 1. Yes, (–1, 5) makes both equations true. 2. No, (–1, 5) makes only one equation true. 3. Yes, (–1, 5) makes both equations true. 4. Yes, (–1, 5) makes both 5. (0, 2); 6. (0, 0); 7. (1, 1); 8. (1, 5); 9. (6, –1); 7-1

Solving Systems by Graphing ALGEBRA 1 LESSON 7-1 10. (2, 2); 11. (4, 0); 12. (2, 3); 13. a. 3 weeks b. $35 14. 7 weeks 15. no solution; 16. no solution; 17. infinitely many solutions; 7-1

Solving Systems by Graphing ALGEBRA 1 LESSON 7-1 25. (20, 60); 26. Answers may vary. Sample: y = –1; x = 2 27. Answers may vary. Sample: y = 2x – 1, y = 2x + 5 28. Answers may vary. Sample: x + y = 3, 3x + 3y = 9 18. no solution; 19. no solution; same slope, different y-int. 20. inf. many solutions; equivalent equations 21. one solution; different slopes 22. inf. many solutions; 23. A 24. 5 min 7-1

Solving Systems by Graphing ALGEBRA 1 LESSON 7-1 29. (2, 20) 30. (15, 40) 31. (12, 30) 32. (–20, 0) 33. a. time on the horizontal and distance on the vertical b. Red represents the tortoise because it shows distance changing steadily over time. Blue represents the hare because it is steeper than the other line at the ends but shows no change in distance while the hare is napping. c. The point of intersection shows when the tortoise passed the sleeping hare. 34. (–12, –16) 35. (–2, 10) 7-1

Solving Systems by Graphing ALGEBRA 1 LESSON 7-1 36. (–30, –2.5) 37. (–0.9, 1.6) 38. (2, 3) 39. a. c = 100 + 50t; c = 50 + 75t; (2, 200); b. The cost of renting either studio for 2 h is the same, $200. 40. a. no values b. w = v c. w = v 41. a. sometimes b. never 42. (–9, –2) 43. D 44. F 45. [2] a. Answers may vary. Sample: x – 2y = 6 b. Since the lines do not intersect, the lines are parallel. Parallel lines have the same slope but different intercepts. [1] incorrect equation OR incorrect explanation / 7-1

Solving Systems by Graphing ALGEBRA 1 LESSON 7-1 46. [4] a. y = 150 + 0.20x y = 200 + 0.10x b. $500 c. cellular phone sales [3] appropriate methods but one computational error [2] incorrect system solved correctly OR correct system solved incorrectly [1] no work shown 47. It is translated up 2 units. 48. It is translated 3 units left. 49. It is translated 5 units up and 2 units right. 50. 25% increase 51. 33 % decrease 52. 20% increase 53. 150% increase 54. 33 % decrease 55. 25% increase 56. 10% increase 57. 12.5% decrease 1 3 1 3 7-1