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Algebra 1 Course Review Problems Mills, 2018 It is very important that you review for the Algebra End of Course Exam. Here are a few pieces of
information you want to know.
Your Final is worth 10% of your overall grade
The final covers concepts from the entire year.
The final is 45 multiple choice problems, here are some tips for multiple choice problems
o Read the question before you look at the answer
o Come up with the answer in your head before looking at the possible answers, this way the
choices given on the test won't throw you off or trick you
o Eliminate answers you know aren't right
o Read all the choices before choosing your answer
o If there is no guessing penalty, always take an educated guess and select an answer
This Assignment will be collected on the day you take the 2nd part of the EOC Test
Make sure you show your work for full credit, circling the correct answer is not enough.
Points on this assignment will count towards an assignment points you might be missing (it’s
extra credit!).
Check out the links on mathwithmills.weebly.com to see solutions to the problems worked out.
Spring 2018 Finals Schedule
Friday, June 1st
1st Period 7:45-9:45 EOC Part 1
2nd Period 9:55-11:55 EOC Part 1
3rd Period 12:35-2:35 EOC Part 1
Monday, June 4th
4th Period 7:45-9:45 EOC Part 1
5th Period 9:55-11:55 EOC Part 1
6th Period 12:35-2:35 EOC Part 1
Tuesday, June 5th
1st-6th Periods 7:45-11:58 (38 mins each)
7th Period 12:35-2:35 EOC Part 1
Wednesday, June 6th
1st-6th Periods 7:45-11:58 (38 mins each)
7th Period 12:35-2:35 EOC Part 2
Thursday, June 7th
1st Period 7:45-9:45 EOC Part 2
2nd Period 9:55-11:55 EOC Part 2
Friday, June 8th
3rd Period 7:45-9:45 EOC Part 2
4th Period 9:55-11:55 EOC Part 2
Monday, June 11th
5th Period 7:45-9:45 EOC Part 2
6th Period 9:55-11:55 EOC Part 2
Tuesday, June 12th
Teacher Professional Development.
Students off, enjoy summer break!!!!
Multiple Choice: Identify the choice that best completes the statement or answers the question
1. What is the solution for x in 5𝑥 − 2 + 2𝑥 = 7𝑥 − 2?
A. 𝑥 = 0 C. 𝑛𝑜 𝑠𝑜𝑙𝑢𝑡𝑖𝑜𝑛
B. 𝑥 = 1 D. 𝑖𝑛𝑓𝑖𝑛𝑖𝑡𝑒𝑙𝑦 𝑚𝑎𝑛𝑦 𝑠𝑜𝑙𝑢𝑡𝑖𝑜𝑛𝑠
2. What is the solution for x in the equation, 3
8𝑥 −
1
12= −
3
4?
A. 𝑥 = −
20
3 C. 𝑥 =
3
16
B. 𝑥 = −16
9 D. 𝑥 = −
1
3
3. Solve the equation 34.8𝑥 + 0.2(𝑥 − 4) = −16.8 + 27𝑥
A. 𝑥 = −1.6 C. 𝑥 = −8.8
B. 𝑥 = −2.6 D. 𝑥 = −2.0
4. Which properties can be used to transform the equation 1
2(4𝑥 − 8) = 10 + 7𝑥 into the
equivalent equation 2𝑥 − 4 = 7𝑥 + 10?
A. Division Property and Commutative Property of Addition
B. Distributive Property and Addition Property of Equality
C. Multiplication Property of Equality and Addition Property of Equality
D. Distributive Property and Commutative Property of Addition
5. Which of the following graphs represents 𝑓(𝑥) =1
2|𝑥 − 3| − 2 ?
A.
C.
B.
D.
6. Which of the following could be the first step in solving 1
2(𝑥 + 3) =
2
3 ?
I. Distribute 1
2 to (𝑥 + 3) on the left side of the equation
II. Subtract 3 from both sides of the equation
III. Multiply by the reciprocal of 1
2 on both sides of the equation
IV. Divide by 1
2 on both sides of the equation
V. Distribute 2
3 to
1
2(𝑥 + 3) on the left side of the equation
A. All of the above C. I, III, and IV
B. I and V D. I and IV
7. Which of the following represents the solution to the compound inequality,
2𝑥 + 5 < 1 or 4𝑥 − 7 ≥ 9?
A. −2 < 𝑥 ≤ 4 C. 𝑥 < −2 or 𝑥 ≥ 4
B.
D.
8. Ramal goes to the grocery store and buys 𝑎 pounds of apples and 𝑏 pounds of bananas.
Apples cost 𝑥 dollars per pound and bananas cost 𝑦 dollars per pound. The total cost, 𝐶,
that Ramal pays for the fruit is represented by the equation:
𝐶 = 𝑎𝑥 + 𝑏𝑦 − 0.10(𝑎𝑥 + 𝑏𝑦)
What could 0.10(𝑎𝑥 + 𝑏𝑦) represent in the equation above?
A. the amount of a 10% discount
B. the total cost after a $0.10 discount
C. the amount of sales tax paid if the sales tax rate is 10%
D. the cost of buying 0.10 pounds of apples and bananas
9. Leroy works part time for a moving company. One day he had to move 34 boxes from a
truck to inside a house. After moving some boxes, he took a 30 minute break and told his
boss that he has only 15 more boxes to move. Which equation can be solved to find how
many boxes Leroy moved before his break?
A. 30(34 − 𝑥) = 15 C. 34 − 𝑥 = 15
B. 15(𝑥 − 30) = 34 D. 34 + 𝑥 = 15
10. Which of the following is the solution for x in the equation −2|𝑥 + 3| + 6 = 10 ?
A. 𝑛𝑜 𝑠𝑜𝑙𝑢𝑡𝑖𝑜𝑛 C. 𝑥 = 1
B. 𝑥 = −5, 𝑥 = −1 D. 𝑥 = −5
11. Which of the following is the solution for x in the equation −3|𝑥 + 4| = −6 ?
A. 𝑥 = −2 C. 𝑥 = −2 and 𝑥 = 6
B. 𝑥 = −6 and 𝑥 = −2 D. 𝑛𝑜 𝑠𝑜𝑙𝑢𝑡𝑖𝑜𝑛
12. In the equation, 𝑚 = 𝑦2−𝑦1
𝑥2−𝑥1 solve for 𝑦2.
A. 𝑦2 = 𝑚(𝑥2 − 𝑥1) + 𝑦1 C. 𝑦2 =
𝑚
𝑥2 − 𝑥1+ 𝑦1
B. 𝑦2 = −𝑦1
𝑚(𝑥2 − 𝑥1) D. 𝑦2 = 𝑚𝑥2 +
𝑦1
𝑥1
13. Julian wants to save $10 per day for 8 days. He then plans to spend $10 per day for
another 8 days. The graph below models the amount of money Julian has each day. On
which days will Julian have $60?
A. On day 6 C. On day 6 and day 12
B. On day 6 and day 10 D. On day 6 and day 14
14. Which graph does not represent a function?
A.
C.
B.
D.
15. If ℎ(𝑥) = −1
2𝑥 + 3, find ℎ(−29).
A.
35
2 C. 64
B. 32
3 D.
29
2𝑥 − 87
\
16. Which of the following graphs represents 𝑓(𝑥) = (𝑥 − 4)2 + 3 ?
A.
C.
B.
D.
17.
Kaj needs to build 15 birdhouses for a class project. It takes 20 minutes to build each
birdhouse. The number of minutes it takes Kaj to build birdhouses is a function of the
number of birdhouses she builds. Which statement correctly describes the domain or
range of this function.
A. The domain is the set of all real numbers.
B. The domain is the set of all integers from 0 to 15.
C. The range is the set of all real numbers.
D. The range is the set of all multiples of 20 from 0 to 15.
18. The first five terms of a sequence are given below:
29 25 21 17 13
Which equation describes the 𝑛𝑡ℎ term of the sequence?
A. 𝑓(𝑛) = −4𝑛 + 33 C. 𝑓(𝑛) = 4𝑛 + 17
B. 𝑓(𝑛) = 4𝑛 + 28 D. 𝑓(𝑛) = −4𝑛 − 23
19. Which of the following quadratic functions represents the function graphed below?
A. 𝑦 =
1
2𝑥2 − 5
B. 𝑦 = 2𝑥2 − 5
C. 𝑦 =1
2(𝑥 + 5)2
D. 𝑦 = 2(𝑥 − 5)2
20. At the beginning of the year, Jason had $40 in his savings account. He plans to deposit
$20 into his account each month. By the end of January, he will have $60, $80 by the end
of February, $100 by the end of March, and so on. Which equation describes the amount
𝐴(𝑚) in his savings at any given month (𝑚)?
A. 𝐴(𝑚) = 40(20𝑚) C. 𝐴(𝑚) = 40 + 12𝑚
B. 𝐴(𝑚) = 40(20)𝑚 D. 𝐴(𝑚) = 40 + 20𝑚
21. Translate the graph of 𝑓(𝑥) = 𝑥2 four units to the left, three units up and vertically
compress the graph by a factor of 1
2. Which of the following is the function after the
transformations?
A. 𝑓(𝑥) =
1
2(𝑥 + 4)2 + 3 C. 𝑓(𝑥) = 2(𝑥 + 4)2 + 3
B. 𝑓(𝑥) =1
2(𝑥 − 4)2 + 3 D. 𝑓(𝑥) = 2(𝑥 − 4)2 + 3
22. Which of the following best describes the data in the table?
𝑥 1 2 3 4
𝑦 3 9 27 81
A. Exponential with a growth factor of 3
B. Linear with a rate of change of 6
C. Quadratic with a second difference of 12
D. none of the above
23. Before a truck can drive through a tunnel, it must be determined if the load can fit safely
through the tunnel. The parabola 𝑓(𝑥) = −1
4(𝑥 − 8)2 + 16 models the maximum space
that a vehicle has to fit through the tunnel. If a truckload is 12 𝑓𝑒𝑒𝑡 high what is the
maximum width it could be?
A. 4 𝑓𝑒𝑒𝑡
B. 8 𝑓𝑒𝑒𝑡
C. 12 𝑓𝑒𝑒𝑡
D. 16 𝑓𝑒𝑒𝑡
24. The functions 𝑓(𝑥) and 𝑔(𝑥) are shown below. Calculate the average rate of change
for each function over the interval from 𝑥 = 2 to 𝑥 = 6.
𝑓(𝑥) 𝑔(𝑥)
𝑥 1 2 3 4 5 6 7
𝑓(𝑥) 1 2 4 8 16 32 64
Which of the following statements is correct?
A. The average rate of change of 𝑓(𝑥) is greater than 𝑔(𝑥).
B. The average rate of change of 𝑔(𝑥) is greater than 𝑓(𝑥).
C. The average rate of change of 𝑓(𝑥) and 𝑔(𝑥) are the same.
D. The average rate of change of 𝑔(𝑥) cannot be calculated.
25. A moving company sells boxes for packing items. The large box has a volume of
6𝑥2 + 2𝑥 + 3 cubic units. The medium box has a volume of 2𝑥2 − 5 cubic units. A
customer purchases two large boxes and one medium box. What is the total volume of
the purchased boxes?
A. 12𝑥2 + 4𝑥 − 2 cubic units C. 14𝑥2 + 4𝑥 + 1 cubic units
B. 14𝑥2 + 2𝑥 − 2 cubic units D. 14𝑥2 − 𝑥 + 6 cubic units
26. What is the product of the binomials: (𝑟 − 8)(𝑟 + 5) ?
A. 𝑟2 − 40 C. 𝑟 − 3
B. 𝑟2 + 13𝑟 − 40 D. 𝑟2 − 3𝑟 − 40
27. What is the simplified form of (𝑏 + 7)2 ?
A. 𝑏2 + 14𝑏 + 49 C. 𝑏2 + 49𝑏 + 49
B. 𝑏2 + 49 D. 𝑏 + 49
28. Which equation of the line passes through the points (3
2, 5) and (−
1
2, 8) ?
A. 𝑓(𝑥) =
3
2(𝑥 +
1
2) + 8 C. 𝑓(𝑥) = −
3
2(𝑥 −
1
2) + 8
B. 𝑓(𝑥) =3
2(𝑥 +
3
2) + 5 D. 𝑓(𝑥) = −
3
2(𝑥 −
3
2) + 5
29. A line graphed on the coordinate plane has a slope of 2 and contains the point (3, 1).
Which of the following points is on the same line?
A. (−3, −5)
B. (−3, −2)
C. (0, −5)
D. (−5, 0)
30. Which of the following is a factor of 3𝑥2 − 12 ?
A. (𝑥 + 12) C. (𝑥 − 2)
B. (𝑥 − 4) D. (𝑥 + 4)
31. Which of the following is a factor of 2𝑥2 + 7𝑥 − 30 ?
A. (𝑥 − 5) C. (𝑥 − 12)
B. (𝑥 + 6) D. (𝑥 − 6)
32. Given the graph and the equation, which line has a larger slope?
Line A Line B
3𝑥 − 𝑦 = 12
A. Line A has a larger value for slope
B. Line B has a larger value for slope
C. Line A and Line B have the same slope
D. Cannot be determined
33. Find an equivalent form of 2(𝑏 + 7)2?
A. 2𝑏 + 14 C. 2𝑏2 + 98
B. 2𝑏2 + 28𝑏 + 98 D. 4𝑏2 + 56𝑏 + 196
34. Which is the graph of 5𝑥 = 4𝑦 + 20?
A.
C.
B.
D.
35. A linear function passes through the points (10, 5) and (−15, −5). A second function is
represented by the equation 4𝑥 − 3𝑦 = 6. What is the y-intercept of the function with
the greater rate of change?
A. −2 C. −20
B. 3
2 D. 1
36. Which of the following are the x-intercepts for 𝑦 = (𝑥 + 2)2 − 16
A. (−6, 0), (2, 0) C. (−6, 0), (−2, 0)
B. (−2, 0), (16, 0) D. (2, 0), (−16, 0)
37. Which quadratic function, when graphed, has x-intercepts of −10 and 6?
A. 𝑦 = (1 − 10𝑥)(6𝑥 + 1) C. 𝑦 = (𝑥 − 10)(𝑥 + 6)
B. 𝑦 = (𝑥 + 10)(2𝑥 − 12) D. 𝑦 = (10 − 6𝑥)(6𝑥 + 10)
38. A rocket was shot up into the air. The graph shows the height of its flight 𝑡 seconds after
it was shot. At about what height was the rocket after 3 seconds? How long did it take
the rocket to come back down to the ground?
A. The height of the rocket was 12 yards after 3 seconds. It took the rocket 12
seconds to return to the ground.
B. The height of the rocket was 3 yards after 3 seconds. It took the rocket 12 seconds
to return to the ground.
C. The height of the rocket was 30 yards after 3 seconds. It took the rocket 0 seconds
to return to the ground.
D. The height of the rocket was 30 yards after 3 seconds. It took the rocket 12
seconds to return to the ground.
39.
A function is graphed below. Which of the following statements are correct?
A. The domain of the function is 𝐷 = {−8 ≤ 𝑥 ≤ 8}.
B. The range of the function is 𝑅 = {−8 ≤ 𝑦 ≤ 8}
C. The function is always increasing.
D. The function is always decreasing.
40. If 𝑓(𝑥) = 𝑔(𝑥) and 𝑓(𝑥) = 2(𝑥 − 5)2 + 3, then which of the following functions can
represent 𝑔(𝑥)?
A. 𝑔(𝑥) = 𝑥2 − 10𝑥 + 28 C. 𝑔(𝑥) = 2𝑥2 − 20𝑥 + 53
B. 𝑔(𝑥) = 2𝑥2 − 10𝑥 + 3 D. 𝑔(𝑥) = 2𝑥2 − 20𝑥 + 50
41. Which is the graph of 𝑦 < 3𝑥 + 4?
A.
C.
B.
D.
42. When traveling for work a salesperson is reimbursed for expenses according to the
following rules:
$0.50 per mile driven
$40 per day for meals
For any reimbursement of $1000 or greater a district manager must approve the request for
reimbursement. Determine the maximum number of miles a salesperson can travel in 5
days without getting approval from the district manager.
A. Less than 1600 miles C. Less than 400 miles
B. More than 1600 miles D. More than 400 miles
43. Given the equation and graph of 𝑦 = −𝑥2 − 1, what is the domain and range?
A. Domain: 𝑎𝑙𝑙 𝑟𝑒𝑎𝑙 𝑛𝑢𝑚𝑏𝑒𝑟𝑠
Range: 𝑦 ≥ 1
B. Domain: 𝑎𝑙𝑙 𝑟𝑒𝑎𝑙 𝑛𝑢𝑚𝑏𝑒𝑟𝑠
Range: 𝑦 ≤ 1
C. Domain: 𝑎𝑙𝑙 𝑟𝑒𝑎𝑙 𝑛𝑢𝑚𝑏𝑒𝑟𝑠
Range: 𝑦 ≤ −1
D. Domain: −1 ≤ 𝑥 ≤ 1
Range: 𝑦 ≤ −1
44. Which of the following is a solution to 2𝑥2 + 14𝑥 = 18 ?
A. 𝑥 =
7 ± √85
2 C. 𝑥 =
−7 ± √85
2
B. 𝑥 =−7 ± √13
2 D. 𝑥 =
14 ± √340
4
45. Solve for x in 16𝑥2 − 49 = 0 .
A. 𝑥 = ±
49
16 C. 𝑥 =
16
49
B. 𝑥 = ±7
4 D. 𝑥 =
7
4
46.
Tandy has at most $100 to spend on summer clothes. If shorts cost $12.50 a pair and
tanktops cost $6.25 each, which graph represents the possible combinations of shorts and
tanktops that Tandy can buy?
A.
C.
B.
D.
47. What is the sum of the solutions of 𝑥2 + 8𝑥 = 84 ?
A. −8 C. 8
B. −5 D. 0
48. What is the vertex of the function 𝑓(𝑥) = −2𝑥2 + 8𝑥 − 9 ?
A. (−4, −73) C. (−2, −33)
B. (4, −9) D. (2, −1)
49. Which of the following is the vertex for 𝑓(𝑥) = −4(𝑥 − 5)2 + 2 ?
A. (25, 2) C. (−5, 2)
B. (−20, 2) D. (5, 2)
50. What is the y-intercept of the graph of 𝑦 = 2(𝑥 − 1)2 + 3 ?
A. (1, 3) C. (0, 3)
B. (0, 5) D. (0, 1)
51. The height (ℎ), in feet, of a person jumping off a diving platform can be modeled by the
equation ℎ = −16𝑡2 + 4𝑡 + 6 where 𝑡 represents the time in seconds the person is in the
air. After how many seconds does the person jumping off the platform enter the water?
A. −
1
2 𝑠𝑒𝑐𝑜𝑛𝑑 C.
4
3 𝑠𝑒𝑐𝑜𝑛𝑑𝑠
B. 3
4 𝑠𝑒𝑐𝑜𝑛𝑑 D. 2 𝑠𝑒𝑐𝑜𝑛𝑑𝑠
52. Which of the following functions is equivalent to the function 𝑓(𝑥) = (1
3)
2
?
I. 𝑔(𝑥) = 3−2
II. 𝑔(𝑥) =1
9
III. 𝑔(𝑥) = (2
3)
−1
IV. 𝑔(𝑥) = 2(−3)
V. 𝑔(𝑥) =1
6
VI. 𝑔(𝑥) = 9−1
A. I, III, V
B. II, IV, VI
C. I, II, VI
D. III, V, VI
53. The graph and a table of values are given to represent two linear equations in a system of
equations. Which of the following is the solution to the system?
Line A Line B
x y
−1 6
0 4
1 2
A. (2, 0)
B. (0, −3)
C. (−1, −5)
D. (−2, −6)
54. Which of the following represents the function 𝑓(𝑥) = 2𝑥 − 5 ?
A.
C.
B.
D.
55. Which of the following represents the function graphed below?
A. 𝑓(𝑥) = (
1
4)
𝑥
− 3
B. 𝑓(𝑥) = (4)𝑥 − 3
C. 𝑓(𝑥) = − (
1
4)
𝑥
− 3
D. 𝑓(𝑥) = −(4)𝑥 − 3
56. The equation and a table of values are given to represent two linear equations in a system of
equations. Which of the following is the solution to the system?
Line A Line B
𝑦 = −3𝑥 − 4
𝑥 𝑦
−1 4
1 −2
2 −5
A. (0, 1)
B. (−2, 2)
C. 𝑖𝑛𝑓𝑖𝑛𝑖𝑡𝑒 𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑠𝑜𝑙𝑢𝑡𝑖𝑜𝑛𝑠
D. 𝑛𝑜 𝑠𝑜𝑙𝑢𝑡𝑖𝑜𝑛
57. Which x-coordinate is in the solution to the system of equations?
{𝑥 − 2𝑦 = 5
3𝑥 + 8𝑦 = 1
A. 𝑥 = −1 C. 𝑥 = 19
B. 𝑥 = 3 D. 𝑛𝑜 𝑠𝑜𝑙𝑢𝑡𝑖𝑜𝑛
58. What is the solution to the system graphed?
A. (2, 4)
B. (4, 2)
C. (1, 2)
D. 𝑛𝑜 𝑠𝑜𝑙𝑢𝑡𝑖𝑜𝑛
59. What is the solution for x in 4𝑥 = 64 ?
A. 𝑥 = 16 C. 𝑥 = 3
B. 𝑥 = 4 D. 𝑥 = 2
60. What is the solution for x in 52𝑥−9 = 125 ?
A. 𝑥 = 6 C. 𝑥 = 5
B. 𝑥 = 4 D. 𝑥 = 3
61. You invited friends over to your house to watch a movie. You let each person decide if they
wanted to snack on popcorn, which cost $2.50 per person, or candy, which cost $1.75 per
person. You spent $17.75 to buy snacks for 8 people. Write a system of equations that you
could use to determine how many people chose popcorn (𝑝) and how many chose candy (𝑐).
A. 𝑓(𝑥) = {
2.50𝑝 + 1.75𝑐 = 8𝑝 + 𝑐 = 17.75
C. 𝑓(𝑥) = {17.75 − 2.5𝑝 = 817.75 − 1.5𝑐 = 8
B. 𝑓(𝑥) = {2.50𝑝 + 8𝑝 = 17.751.75𝑐 + 8𝑐 = 17.75
D. 𝑓(𝑥) = {2.50𝑝 + 1.75𝑐 = 17.75
𝑝 + 𝑐 = 8
62. Two different families bought general admission tickets for a Reno Aces baseball game.
One family paid $70 for 6 adults and 2 children. The other family paid $59 for 3 adults and
4 children. How much does an adult ticket cost?
A. $8 C. $11.67
B. $9 D. $19.67
63. Which system of inequalities models the graph below?
A. {𝑦 <
1
3𝑥 − 1
2𝑥 + 4𝑦 > 8
B. {𝑦 < −
1
3𝑥 − 1
2𝑥 − 4𝑦 > 8
C. {𝑦 > −
1
3𝑥 − 1
2𝑥 − 4𝑦 < 8
D. {𝑦 >
1
3𝑥 − 1
2𝑥 + 4𝑦 < 8
64. A local shipping company offers starting employees a salary of $30,000 per year.
Employees receive a 3% pay increase each year they are with the company. What
function represents the amount of an employee’s salary after 𝑡 years?
A. 𝑓(𝑡) = 30,000(1.03)𝑡 C. 𝑓(𝑡) = 30,000(0.03)𝑡
B. 𝑓(𝑡) = 30,000(𝑡 + 0.03) D. 𝑓(𝑡) = 30,000(4)𝑡
65. Which of the following points is a possible solution to the following system?
{𝑦 ≥ −4
3𝑥 − 6𝑦 > 12
A. (1, −6)
B. (6, 1)
C. (−3, 2)
D. (3, −2)
66. What is the simplified form of (4𝑔−3ℎ4)−3 ?
A.
−12𝑔6
ℎ12 C.
12𝑔9
ℎ
B. −64𝑔9
ℎ12 D.
𝑔9
64ℎ12
67. Let 𝑓(𝑥) = −3𝑐1/2 and 𝑔(𝑥) = 2𝑐15/2𝑑−8. Find ℎ(𝑥) = 𝑓(𝑥) ∙ 𝑔(𝑥).
A. ℎ(𝑥) =
−6𝑐8
𝑑8 C. ℎ(𝑥) =
−5𝑐7
𝑑8
B. ℎ(𝑥) =6𝑑8
𝑐8 D. ℎ(𝑥) = −6𝑐𝑑
68. What is the simplified form of 36𝑚−4𝑛6
4𝑚𝑛−2𝑝−4 ? (Assume that 𝑚 ≠ 0, 𝑛 ≠ 0, and 𝑝 ≠ 0)
A. 9𝑛4𝑝4
𝑚3 C.
9𝑛8𝑝4
𝑚5
B. 9𝑛8
𝑚5𝑝4 D.
9𝑚5
𝑛8𝑝4
69. Which of the following expressions is equivalent to −4√56 − 7√14 ?
A. −15 C. −15√14
B. −11√42 D. −46√7
70. A supervisor at a factory is testing the company’s packaging machines for accuracy. The
machines are labeled X, Y, and Z. The company standard for packaging a product is that
each bag should contain 6 to 10 𝑜𝑢𝑛𝑐𝑒𝑠. The supervisor randomly chose 10 bags from each
machine and recorded the results in the table below. Based on the dot plots below, which
statement is correct?
A. Machine X is both the most consistent and the most accurate.
B. Machine X and Y are equally consistent, but Machine Y is the most accurate.
C. Machine Z is both the most consistent and the most accurate.
D. Machine Z is the most consistent, but Machine Y is the most accurate.
71. A fast food chain took a random survey of some of their stores to find the average number of
sodas they sell per day. The data collected is given below. Which measure of central
tendency best represents the data? Justify your answer.
{165, 142, 153, 160, 135, 140, 155, 30, 162, 157}
A. The mean would be best because there is an outlier.
B. The mean would be best because there is not an outlier.
C. The median would be best because there is an outlier.
D. The median would be best because there is not an outlier.
72. Which of the following expressions is equivalent to √3(√3 + 2√6) ?
A. 3 + 6√2 C. 3√6
B. 6 + √6 D. 9√2
73. In the box-and-whisker plots below, which class has the greater interquartile range? What
is the interquartile range for that class?
A. Class A; 12 inches C. Class A; 4 inches
B. Class B; 5 inches D. Class B; 9 inches
The Department of Transportation requires guardrails to be constructed at a height of 48
inches with a tolerance of 3 inches. The boxplots below show the measurements for three
different companies on their last 100 projects. Using the formula |𝑎 − 48| ≤ 3, where 𝑎 is
the actual measurement.
74. Which company is most accurate in their guardrail construction?
A. L&M Construction C. Traffic Guards, Inc.
B. TJ Highway Co. D. L&M Construction and Traffic Guards, Inc.
75. Which company is most consistent in their guardrail construction?
A. L&M Construction C. Traffic Guards, Inc.
B. TJ Highway Co. D. L&M Construction and Traffic Guards, Inc.
76. What type of histogram is shown
below?
A. skewed left
B. skewed right
C. symmetric
D. uniform
77. The two-way frequency table shows all of the grades for males and females in a science
class. If the females were to have the same percent of B’s as the males, how many more
females would need to get a B in the class?
A. 2
A B C D F
Females 6 3 4 2 1
Males 3 6 1 0 2
B. 3
C. 4
D. 5
78. A company surveyed their employees about which method of transportation they use to get
to work each morning. Part of the survey results are shown below. Complete the table and
determine what percentage of men drive a car to work.
Women Men Total
Walk 56 34
Car 56
Bus 54 82
Bike 39 67
TOTAL 144 295
A. 15.89%
B. 18.98%
C. 42.86%
D. 51.19%
