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 [pic] -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. [pic] 53. [pic]
54. [pic] 55. [pic] 56. 5n – 10 > 26
Solve each inequality.
57. –5x – 7 < 28 58. 2(b – 8) > 12 59. [pic]
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 (inches) | Shoe Size |
| 29 | 2 |
| 36 | 3 |
| 54 | 3 |
| | |
Graph each function.
66. y = -2x - 1 67. y = |x| + 1 68 . y = x² + 4
[pic] [pic] [pic]
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.
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