Algebra EOC Practice Test

Algebra EOC Practice Test
Name: _________________________________________
Class: _________________________________________
Date: _________________________________________
1. Which of the expressions below is equivalent to the given expression?
A.
C.
2. The front of a single serving cereal box has the dimensions (x + 3) and (2x - 1). The front of a 16
ounce box of cereal has the dimensions (3x - 2) and (4x + 2). Both boxes are pictured below.
B.
D.
Version A
What is the difference in the area of the front of the big box from the area of the front of the small box?
A.
C.
3. Which of the expressions below is equivalent to the following expression?
A.
C.
B.
D.
B.
D.

Version A
4. Jerry can read 50 pages of his book in 45 minutes. If he has 3 hours to read, how many pages will he
have read?
A. 200 B. 175
C. 67 D. 4
5. Solve the proportion below.
A.
C.
6. The Great Sphinx of Giza, one of the world's largest statues, is 65 feet high, 260 feet long, and 20 feet
wide. Jereme wants to make a model of the Great Sphinx for his social studies class. If his model
can only be 3 inches wide, what are the dimensions of the height and length of his model?
7.
A. 39 inches high, 9.75 inches long B. 9.75 inches high, 39 inches long
C. 0.9 inches high, 39 inches long D. 1.1 inches high, 3 inches long
The area of a rectangular garden can be defined by the polynomial . If the length of the
garden is defined by the monomial , which expression below represents the width of the garden?
A.
B.
C.
D.
B.
D.

8. Which of the following choices results from simlifying the rational expression below?
A.
C.
9. Which of the following results from dividing the polynomials below?
A.
C.
10. The domain of the given function is { -1, 2}. What is the range?
A.
C.
B.
D.
B.
D.
B.
D.
Version A
11. A taxi company charges a flat fee of $2.75 plus $1.50 per mile. The function below gives the total fare
a driver charges after traveling miles.
Taxi drivers can travel anywhere in the city within a 40 mile range. What is the greatest possible
range value for this function?
A. 4.25 B. 40
C. 60 D. 62.75

12. The graph below shows gas prices over an 8 month period.
Version A
Based on the graph, which of the following best describes the range of the value of gas prices over the
eight month period?
A.
C.
13. Lines a and b are perpendicular lines. Find the slope of line b.
A.
C.
B.
D.
B.
D.

Version A
14. On a coordinate grid map of a city, Oak Street is on the line with the equation y = 2x
+ 1. Maple Street is parallel to Oak Street on the map and contains the point (5, -2).
What is the equation of the line for Maple Street?
A.
C.
15. The equation of line w is given below. Line f is perpendicular to line w and contains the point (-4, 7).
What is the equation for the graph of line f ?
A.
C.
16. Which answer choice below shows the given expression factored completely?
A.
B.
C.
D.
B.
D.
B.
D.

17. Which answer choice below shows the given expression factored completely?
A.
B.
C.
D.
Version A
18. The volume of a storage chest can be represented by the expression given. Which of the expressions
below gives possible dimensions for the base, height, and depth of the storage chest?
A.
B.
C.
D.

Version A
19. A rock climber is 450 feet above the ground. He descends the mountain side at a rate of 30 feet per
minute. Which graph below represents his descent?

A.
B.
C.
D.
Version A

Version A

Version A
20. Tony makes $40 per yard he mows and $10 per dog he walks. In order to pay all his bills this month,
he needs to make $240 next week. Which graph represents the possible combinations of number of
yards he needs to mow and number of dogs he needs to walk in order to meet this goal?

A.
B.
C.
D.
Version A

Version A

21. The table below gives the area of a rectangle with a base of 5 inches and heights that vary.
Version A
Use the table to identify the graph that represents the linear relationship between the height, in inches,
and area, in square inches.

A.
B.
C.
D.
Version A

22. Which of the following equations below matches the given graph?
A.
C.
23. Which of the following equations below matches the given graph?
A.
C.
B.
D.
B.
D.
Version A

24.
How would the parent graph change when graphing the function ?
A. The graph would shift 8 units to the left.
B. The graph would shift 8 units to the right.
C. The graph would shift 8 units down.
D. The graph would shift 8 units up.
25. Which of the following relations is not a function?
A.
B.
C.
D.
26. The table below shows the total cost for a taxi ride based on the number of rides given.
Version A
Which equation represents T, the total amount spent in dollars, as a function of r, the number of rides?
Which equation below is represented by the table?
A.
C.
B.
D.

27. Which of the following graphs is a function?
A.
C.
B.
D.
Version A
28. Kimmy is saving money to buy a car. She makes $12 per hour at her job, and so far she has saved
$1600. She has done her research on car prices and expects to pay at least $4000. If she uses the
given inequality below to represent her situation which graph represents how many more hours Kimmy
still needs to work to have enough money for a car?
A.
B.
C.
D.

Version A
29. Harold scored an 88, 92, and 90 on the first three of his four tests in science. He needs an average
score of more than 92 to have an A average in the class. He used the inequality below to determine
the score he needs on his last math test.
What is the solution to this inequality?
A.
C.
30. Solve the inequality below.
A.
C.
31. Solve the formula for .
A.
C.
32. Solve the equation for .
A.
C.
33. Solve the equation for y.
2y + 3xy - 8 = 5y + 6
A.
C.
B.
D.
B.
D.
B.
D.
B.
D.
B.
D.

34. Find the slope of the line of best fit for the graph below. Write your answer as a fraction.
35. Below is a graph of the miles remaining for Kelly while she drives on a trip to her sister's house.
Interpret the slope of the line for the graph.
A. The slope represents the amount of time Kelly has spent driving.
B. The slope represents Kelly's average speed, in miles per hour, while driving.
C. The slope represents how many miles Kelly has driven.
D. The slope represents the miles Kelly has left to drive.
Version A

36. The scatter plot below shows the value of one of the stocks in Misty's portfolio.
Use the scatter plot to predict the value of the stock in one year.
A. $8.00 B. $6.00
C. $3.50 D. $2.00
37. Solve the equation below.
A.
C.
38. Solve for .
A. -1 B. 1
C. -4 D. 4.3
B.
D.
Version A

39. Given the equation below, what step is best to do first?
A. Subtract from both sides.
B. Collect like terms on both sides.
C. Use the distributive property to remove the parentheses.
D. Divide both sides of the equation by 6.
40. Kenny simplified the expression below for his homework.
If Kenny simplified the expression correctly, which answer choice below should he have gotten?
A.
C.
41. Which of the following is simplied for the expression given?
A.
C.
42. Which of the following is the simpified form of the expression below?
A.
C.
B.
D.
B.
D.
B.
D.
Version A
43. At the beginning of the school year, Hank bought a backpack, three notebooks for $6.00 each, and
two packs of pens for $2.50 each. If the tax rate is 5%, and he spent a total, including tax, of $39.64,
what was the price of the backpack?
A. $27.63 B. $14.75 C. $28.14 D. $26.14

Version A
44. A cell phone company offers two plans. Plan A has unlimited minutes for $90 per month, and Plan B
offers 700 minutes for $65 per month plus $0.10 for each additional minute. Which equation below can
be used to find after how many minutes the plans are equal?
A.
C.
45. A town ordinance requires the area of all rectangular billboards to fall between 100 square yards and
200 square yards. If a company designs a billboard with a height of 20 yards, what is the possible
range for the length of the billboard?
A.
C.
46. Let A = {2, 4, 6, 8, 10}, and let B = {2, 3, 5, 7, 11, 13, 19}. Which of the choices below is an element
of ?
A. 2 B. 5
C. 10 D. 19
47. Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}. If set A = {1, 2, 3, 4, 5} and set B = {7, 8, 9}, how many elements are
in the set A' B' ?
A. 10 B. 18
C. 24 D. 36
B.
D.
B.
D.

48. If C is the set of all jungle cats at the City Zoo,
C = {cheetah, leopard, lion, panther},
S is the set of all jungle cats at the State Zoo,
S = {bobcat, cheetah, jaguar, lion, panther, tiger},
and W is the set of all jungle cats at the West Coast Zoo,
W = {bobcat, lion, tiger},
How many cats are elements in ?
A. 3 B. 7
C. 6 D. 5
49. Simplify the given expression.
A.
C.
50. Simplify the given expression.
A.
C.
51. Simplify the expression below so that it is in the form .
What is the value of the exponent for x?
B.
D.
B.
D.
Version A

52. Jereme has quarters and dimes in his coin jar that total to $42.60. This can be modeled by the
equation below.
Find the slope of the line for this equation.
A. -2.5 B. 0.10
C. 0.25 D. 42.60
53. An internet company offers $3 books and $5 movies for the first $100 spent with them. This
relationship is shown in the graph below.
Identify the slope and y-intercept of the graph of the line.
A.
C.
B.
D.
Version A

Version A
54. A scientist is graphing the change in the diameter, in centimeters, of a bacteria growing in a petri dish
over several days for an experiment as shown on the graph below.
Assuming that the growth over time is linear, what is the slope of the line between the two points?
A.
C.
55. What is the sum of the solutions for the quadratic equation given?
A.
B.
56. Which of the following choices is the factored form of the given quadratic function?
A.
C.
B.
D.
C.
B.
D.
D.

Version A
57. Which of the following could be a step in using the quadratic formula to solve the equation below?
A.
C.
58. Solve the system of equations below.
A.
C.
59. Kathleen wants to make 50 pounds of snack mix that she will sell for $6.00 per pound in her health
food store. She is using granola that sells for $4.00 per pound and fruit that sells for $9.00 per pound.
Using these prices, how many pounds of the fruit should she use in her trail mix?
60. Justina leaves Port Charlotte for a wedding in New Jersey and averages 60 miles per hour. Her
brother, Marcus, leaves from the same location 2 hours later and averages 68 miles per hour. If
neither of them stop, how long will it take Marcus to catch up to Justina?
A. 1.1 hours B. 8.5 hours
C. 15.75 hours D. 17 hours
61. Given the sets below, how many distinct elements are in ?
A. 1 B. 4
C. 8 D. 10
B.
D.
B.
D.

62. Which Venn diagram below accurately depicts the given sets?
U, the universal set, is the set of integers 1 through 12
A = {2, 4, 6, 8, 10}
B = {6, 7, 8, 9, 10, 11, 12}.
A.
C.
B.
D.
Version A
63. The Venn diagram below shows the number of students in Mrs. McMurray's class who have internet
connection devices.
Based on the diagram, what is the total number of students who do NOT have a laptop computer?