Algebra AB FINAL EXAM Review ( Chapters 4 - 7) 2014-2015
Which inequality represents the graph?
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3. Suppose a population of 140 crickets doubles in size every month. The function gives the population after x months. How many crickets will there be after 3 years?
What is the solution of the system? Use substitution.
4. 3x + 2y = 7
y = –3x + 11
Find the slope of the line.
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6.
Describe a pattern in each sequence. What are the next two terms of each sequence?
7. –2, 6, –18, 54, . . .
8. 5, 6, 7, 8, . . .
9. Is the sequence geometric? If so, identify the common ratio.
2, –6, –24, –54, ...
____ 10. What is the simplified form of the expression?
a. / 27 / c. /b. / / d. / 3
Graph the inequality.
11.
In the following situations, is there likely to be a correlation? Explain.
12. the average daily winter temperature and your heating bill
13. the number of hours spent studying for a test and your test grade
What is the slope of the line that passes through the pair of points?
14. (3, 7), (10, 2)
What are the slope and y-intercept of the graph of the given equation?
15. y = x
16. y = 6x + 1
17. y = 3.8x + 7.2
What is the simplified form of each expression?
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What is the slope of the line?
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What is the graph of the inequality in the coordinate plane?
____ 24.
a. / / c. /b. / / d. /
____ 25.
a. / / c. /b. / / d. /
Find the x- and y-intercept of the line.
26. x + 4y = 36
Which ordered pair is a solution of the inequality?
27.
____ 28. Does the table represent a linear or an exponential function?
x / 1 / 2 / 3 / 4y / 3 / 5 / 7 / 9
a. / linear / b. / exponential
What is the solution of the system? Use a graph.
29. y = –4x + 4
y = –x – 2
What is the simplified form of the expression?
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What is the simplified form of each expression?
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35. Crystal earns $5.50 per hour mowing lawns.
• Write a rule to describe how the amount of money m earned is a function of the number of hours h spent mowing lawns.
• How much does Crystal earn if she works 3 hours and 15 minutes?
What system of inequalities is represented by the graph?
36.
37. Giselle pays $220 in advance on her account at the athletic club. Each time she uses the club, $10 is deducted from the account. Model the situation with a linear function and a graph.
Write the slope-intercept form of the equation for the line.
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39. Radio signals travel at a rate of meters per second. How many seconds will it take for a radio signal to travel from a satellite to the surface of the Earth if the satellite is orbiting at a height of meters?
40. Kendra owns a restaurant. She charges $3.00 for 2 eggs and one piece of toast, and $1.80 for one egg and one piece of toast. How much does Kendra charge for an egg? A piece of toast? Set up a system and solve it by elimination.
Find the simplified form of the expression. Give your answer in scientific notation.
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What is the graph of the function?
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What is each expression written using each base only once?
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What is the simplified form of each expression?
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Write an equation of a line with the given slope and y-intercept.
50. m = –4, b = 4
Find the rate of change for the tables below.
51. The table shows the number of miles driven over time.
Time (hours) / Distance (miles)4 / 168
6 / 252
8 / 336
10 / 420
52. The table shows the cost of a ski rental package for a given number of people.
People / Cost ($)2 / 100
3 / 150
4 / 200
5 / 250
What is the solution of the system? Use elimination.
53.
54. 2x – 2y = –8
x + 2y = –1
55. Does the rule represent a linear or an exponential function?
What is the graph of the system?
56.
What is the simplified form of the expression below?
57.
Match the equation with its graph.
58. –5x + 2y = –10
What is the simplified form of the expression?
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63. A hiker climbs up a steep bank and then rests for a minute. He then walks up a small hill and finally across a flat plateau. What sketch of a graph could represent the elevation of the hiker?
Graph the equation.
64. y – 1 = (x + 1)
Write an equation in point-slope form for the line through the given point with the given slope.
65. (–9, 6); m = –6
66. The scatter plot below shows the height of a tree over time. What is the approximate height of the tree after 12 years?
Graph the equation.
67. y = 4x + 4
68. Suppose the population of a town is 2,700 and is growing 1% each year. Predict the population after 7 years.
69. What is the value of for x = 1 and y = –3?
70. A boat costs $12,400 and decreases in value by 14% per year. How much will the boat be worth after 5 years?
What is the graph of the function rule?
71. Set up a table of values to determine the appropriate graph of .
What is the graph of the equation?
72. y = –1
73. x = –3
74. An electronics store makes a profit of $72 for every television sold and $90 for every computer sold. The manager’s target is to make at least $360 a day on sales from televisions and computers. Write a linear inequality and graph the solutions. What are three possible solutions to the problem?
Write a function for the situations.
75. A produce stand sells roasted peanuts for $2.30 per pound. What is the cost, C, of p pounds of peanuts?
Find the balance in the account.
76. $1,100 principal earning 4%, compounded semi-annually, after 26 years
77. Create a mapping diagram that represents the relation and determine whether the relation is a function.
Hint: Functions don’t have any repeating x-values.
What type of relationship does the scatter plot show?
78.
79. Write the formula for the geometric sequence.
, ,