Identify the quadrant or axis where each point is located. (See Objective 2.) 19. (-1, 0) 20. (2, -7) 21. (-3.2, -1.6) 22. (5.2, 0.8) Graph each equation using a table of solutions. (See Objective 3.) 23. y = 5 - 3x 24. y = u5 - 2xu 25. y = 4 - x2 26. y = x3 Use the given graph of an equation to determine if each ordered pair is a solution of the equation. (See Objective 4.) 4 2 8 –4 –6 –4 –2 –8 x y 27. (-5, 0) 28. (0, 4) 29. (2, 4) 30. (1, 0) Use the given graph to complete each ordered pair that is a solution. (See Objective 4.) 31. ( ___, 0) 32. (0, ___ ) 33. (1, ___ ) 34. ( ___, 5) 4 2 8 4 6 –4 –4 –2 –8 x y Solve each problem. (See Objective 5.) 35. The following graph shows the expenditures for national health in the United States between 1995 and 2006. (Source: http://worldalmanac.com) 2250 2000 National Health Expenditures in United States, in Billions (1995–2006) 1500 2105.5 1250 1000 750 500 1016.5 1333.6 1732.4 1973.3 1852.3 1750 0 2 4 6 8 10 12 a. Write an ordered pair for each point labeled on the graph. b. Between what consecutive years did the expenditures increase the least? By how much? c. Based on the graph, how would you describe expenditures for national health? SECTION 3.2 Graph each equation. Identify at least two points on the graph. (See Objectives 2–4.) 36. 8x + y = 16 37. 3y + 6 = 0 38. y + 3x = 0 39. 5x - 10 = 0 40. y = 0.2x + 1.5 41. y=- 2 3 x - 1 42. 0.6x - 0.1y = 1.2 Use the equation to answer each question. (See Objective 5.) 43. The emissions of carbon monoxide, the principal air pollutants in the United States during 1970–2008, are on the decline. The emissions of carbon monoxide in millions of tons can be modeled by the equation y = -3.36 x + 213, where x is the number of years after 1970. (Source: U.S. Environmental Protection Agency, Office of Air Quality Planning and Standards) a. Find the y-intercept and interpret its meaning. b. Find the x-intercept and interpret its meaning. c. What was the emission of carbon monoxide in 2005? d. What was the emission of carbon monoxide in 2009? e. Use the intercepts to graph the equation. SECTION 3.3 Find the slope of the line that passes through the given points or that is defined by the given equation. (See Objectives 1, 3, and 4.) 44. (3, -2) and (3, 1) 45. y = 4 46. a-2, - 2 5 b and a4, 3 5 b 47. 5x - 6y = 1 48. 0.7x + 0.14y = 2.1 49. 8 6 4 2 y –4 –2 4 x 50. 2 x y -2 -3 -1 -1 0 1 1 3 2 5 Graph each line using the given slope and point. Label two points on the line. (See Objective 3.) 51. m = 2 7 , (0, -2) 52. m = -1, (0, 5) 53. m = -0.5, (2, -6) 54. m = undefined, (-3, 1) 55. m = 0, (1, 2) 56. m = -4, (0, 0) 284 Chapter 3 Linear Equations in Two Variables
hendricks_beginning_algebra_1e_ch1_3
To see the actual publication please follow the link above