Algebra 1 - Final Exam Review - 1St Semester

Algebra 1 - 1st Semester Name Final Exam Review This is part of your exam grade Hour

Chapter 3

Graph each inequality.

46. a  -3 47. d < 2 48. -5 < x

Write an inequality to model each situation.

49. Tina can type at least 60 words per minute. 50. Thomas earned no more than $44 Write and graph an inequality to model this situation.

Solve each inequality. Then graph your solution.

51. x – 7 > –3.1 52. 53.

54. 55. 5n – 10 > 26 56.

Solve each inequality.

57. –5x – 7 < 28 58. 2(b – 8) > 12 59.

60. Suppose you had d dollars in your bank account. You spent $22 but have at least $28 left. How much money did you have initially? Write and solve an inequality that represents this situation.

Algebra 1 - 1st Semester Name Final Exam Review This is part of your exam grade Hour Chapter 5

61. Does this relation represent a function? Explain. {(-2, 1), (-2, 7), (-2, 1), (5, 0)}

62. Evaluate f(x) = -3x + 2 for x = -3. 63. Evaluate f(x) = -x² - 1 for x = -2.

64. A moving company charges $50.00 per truck load and an additional $0.40 each mile traveled.

a) Write an equation to model the relationship between the number of miles m and the total cost of the load c.

b) What is the charge for a 3-mile ride? c) What is the charge for a 2.4-mile ride?

65. Find the domain and range of the relation. Is the relation a function? Explain.

Height of Person Shoe Size (inches)

29 2 36 3

Graph each function. 2 66. y = -2x - 1 67. y = |x| + 1 68 . y = x² + 4

69. Write a function rule (equation) for the table. 70. Write a function rule (equation) that gives the total cost c(p) of p pounds of flour if each pound costs $1.29.

x y 2 -2 3 -3 4 -4 . 5 -5 71. Emily earns $6.75 per hour mowing lawns. a) Write a rule to describe how the amount of money m earned as a function of the number of hours h spent mowing lawns.

b) How much does Emily earn if she works 2 hours and 30 minutes?

72. Find the variation constant (hint: slope) for -2x + 4y = 0

73. The total cost of gasoline varies directly with the number of gallons purchased. Gas costs $2.43 per gallon. Write a (direct variation) equation to model the total cost of c for g gallons of gas.

74. The amount of a person’s paycheck p varies directly with the number of hours worked h. For 15 hours of work, the paycheck is $112.50. Write an equation for the relationship between hours of work and pay.