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Algebra 1 Honors End of 3 rd Quarter Exam PART #2 - Review 1. State whether the graph is linear, quadratic, and exponential or none of the above. [A] [B] [C] [D] [E] [F] [G] [H] [I]
Algebra 1 Honors
End of 3rd Quarter Exam
PART #2 - Review
1. State whether the graph is linear, quadratic, and exponential or none of the above.
[A] [B] [C]
[D] [E] [F]
[G] [H] [I]
2. For each of the tables below determine whether the data is this function linear,
quadratic, or exponential?
[A]
[B]
[C]
For problems 3 – 4, evaluate the exponential function.(Round your result to the nearest
hundredth).
3. Given : 2.79 5 + 4.15x
f x , find f(0).
4. Given : 11 8.8 + 10.76x
g x , find g(2).
5. Max has $89,565.25 in a savings account. The interest rate is 8.3%, compounded
annually.
a) To the nearest cent, how much will he have in 3 years? (rounded to the nearest cent)
b) How much interest did Max earn over 3 years? (rounded to the nearest cent)
6. An online recipe has 22,614 page views so far. In addition, that number continues to
grow 36% every week. How many page views will the recipe have in 9 weeks? (If
necessary, round your answer to the nearest whole number.)
7. The total quantity of digital data in the world is growing rapidly. Every year the
amount of data increases by 56.2%. If there are 2,487 Exabyte of data in existence in a
specific year, how many will there be 7 years in the future? (If necessary, round your
answer to the nearest whole number.)
8. A car enthusiast learns that a particular model of car, which costs $51,294 new, loses
19.1% of its value every year. How much will the car be worth in 5 years? (If necessary,
round your answer to the nearest cent.)
9. How much of a radioactive kind of bismuth will be left after 80 minutes if the half-life
is 20 minutes and you start with 23,840 grams?
10. A city's population is currently 135,000. If the population doubles every 26 years,
what will the population be 78 years from now?
11. What kind of sequence is this? 169, 196, 225, 256, …
12. While sorting some buttons, Chad put 1 button in the first box, 7 buttons in the
second box, 49 buttons in the third box, and 343 buttons in the fourth box. What kind of
sequence is this?
13. What kind of sequence is this? 1, 10, 100, 1000, …
14. What kind of sequence is this? –1, 4, –16, 64, –256, …
15. What kind of sequence is this? –3, –3, –3, –3, –3, …
16. Find the first three terms of the sequence : 51n – 35, where n represents the position
term in the sequence. Start with n =1.
17. Given the the sequence : 24 7 + 8n n , find the second, fifth, and nineth term of
the sequence where n represents the position term in the sequence.
18. Given the the sequence : 5 2n
, find the first, third, and sixth term of the sequence
where n represents the position term in the sequence.
19. Write an expression to describe the sequence below, and then find the 6th term.
Use n to represent the position of a term in the sequence, where n = 1 for the first
term.
5, 6, 7, 8, …
Expression : & 6th term :
20. Write an expression to describe the sequence below, and then find the 11th term.
Use n to represent the position of a term in the sequence, where n = 1 for the first
term.
3, 8, 13, 18, …
Expression : & 11th term :
21. Write an expression to describe the sequence below, and then find the 19th term.
Use n to represent the position of a term in the sequence, where n = 1 for the first
term.
11, 7, 3, –1, …
Expression : & 19th term :
22. Write an expression to describe the sequence below, and then find the 6th term.
Use n to represent the position of a term in the sequence, where n = 1 for the first
term.
3, 15, 75, 375, …
Expression : & 6th term :
23. Write an expression to describe the sequence below, and then find the 7th term.
Use n to represent the position of a term in the sequence, where n = 1 for the first
term.
–2, –6, –18, –54, …
Expression : & 7th term :
24. Write an expression to describe the sequence below, and then find the 12th term.
Use n to represent the position of a term in the sequence, where n = 1 for the first
term.
1 1 1 1
, , , , 1, ...16 8 4 2
Expression : & 12th term :
25. Given : 1= + 12n na a
1 = 3a Find 2a and 3a . Write your answers as integers or
fractions in the simplest form.
26. Given : 1= 3 + 5n na a
1 = 4a Find 3a . Write your answers as integers or
fractions in the simplest form.
27. Given : 1 2= + 2n n na a a 1 = 13a , 2 = 7a . Find 3a , 4a ,and 5a . Write your answers
as integers or fractions in the simplest form.
28. Which recursive formula defines this sequence for n >1?
13, 11, 9, 7, 5, 3, …
29. Which recursive formula defines this sequence for n >1?
3, 6, 12, 24, 48, 96, …
30. These are the first six terms of a sequence with 1 = 1a :
1, 10, 100, 1000, 10000, 100000, …
Find a recursive formula for this sequence that is valid for n >1.
31. These are the first six terms of a sequence with 1 = 4a :
4, –28, 196, –1372, 9604, – 67228, …
Find a recursive formula for this sequence that is valid for n >1.
32. These are the first six terms of a sequence with 1 = 7a :
–7, –18, –29, –40, –51, –62, …
Find a recursive formula for this sequence that is valid for n >1.
33. These are the first six terms of a sequence with 1 = 44a :
11 11 11 11
44, 11, , , , , ...4 16 64 256
Find a recursive formula for this sequence that is valid for n >1.
34. These are the first six terms of a sequence with 1 = 12a :
16 32 64 128
12, 8, , , , , ...3 9 27 81
Find a recursive formula for this sequence that is valid for n >1.
35. Dr. Cho, a pediatrician, weighed all the children who recently visited her office.
How many children weighed exactly 92 pounds?
36. A real estate agent counted the number of offices per floor in the building he is
selling.
How many floors have at least 7 offices?
37. A crayon factory monitored the number of broken crayons per box during the past
day.
What is the smallest number of broken crayons?
38. Anton ran a video game competition and recorded the scores of all the contestants.
How many people scored at least 390 points but fewer than 430 points?
39. The librarians at the Springdale Library tracked how many magazines were read each
day by the adults and children visiting the library. These box-and-whisker plots show the
results.
Which group has a maximum value that is higher? Exclude any outliers.
40. Recently, the weatherman has reported the high temperature in Arcadia each and
every day. This box-and-whisker plot shows the results.
What percent of the high temperatures were 26°C or hotter? Exclude any outliers.
41. As part of a statistics problem, Charlie and Angie are mapping the heights of their
family members. These box-and-whisker plots show the results.
Which family has a minimum value that is lower? Exclude any outliers.
42. The distribution manager for a chain of electronics stores is looking at weekly TV
sales at each store. This box-and-whisker plot shows the results.
What is the value of the upper quartile? Exclude any outliers.
43. Select the outlier in the data set.
If the outlier were removed from the data set, would the mean increase or decrease?
44. Laura has the following data:
If the mean is 748, which number could d be?
45. For a class science project, students worked in groups to make potato-powered
batteries. Each of the 7 groups used a voltmeter to measure the voltage produced by their
potatoes:
What was the range of the voltages?
46. Amanda has the following data:
If the median is 797, which number could b be?
47. In the data set below, what are the median, lower quartile, upper quartile, and the
interquartile range?
6, 1, 5, 3, 1, 1, 1, 1, 4, 6
48. In the data set below, what are the median, lower quartile, upper quartile, and the
interquartile range?
38, 37, 76, 91, 35, 59, 35, 12, 66, 37, 75
49. Does this scatter plot show a positive trend, a negative trend, or no trend?
50. Does this scatter plot show a positive trend, a negative trend, or no trend?
51. Does this scatter plot show a positive trend, a negative trend, or no trend?
52. Does this scatter plot show a positive trend, a negative trend, or no trend?
53. Based on the scatter plot below, which is a better prediction for x when y = 91?
54. Based on the scatter plot below, which is a better prediction for y when x = 87?
55. Based on the scatter plot below, which is a better prediction for x when y = 82?
56. The four scatter plots below show the same data set. Choose the scatter plot in which
the outlier is highlighted.
57. The four scatter plots below show the same data set. Choose the scatter plot in which
the outlier is highlighted.
58. The four scatter plots below show the same data set. Choose the scatter plot in which
the outlier is highlighted.
59. Match each correlation coefficient to the appropriate scatter plot.
60. Match each correlation coefficient to the appropriate scatter plot.
61. Match each correlation coefficient to the appropriate scatter plot.
62. Match each correlation coefficient to the appropriate scatter plot.
63. What is the equation of the trend line in the scatter plot? Use the two points to write
the equation in slope-intercept form. Write any coefficients as integers, proper fractions,
or improper fractions in simplest form.
64. What is the equation of the trend line in the scatter plot? Use the two points to write
the equation in slope-intercept form. Write any coefficients as integers, proper fractions,
or improper fractions in simplest form.
65. What is the equation of the trend line in the scatter plot? Use the two points to write
the equation in slope-intercept form. Write any coefficients as integers, proper fractions,
or improper fractions in simplest form.
