Algebra EOC Item Specs Practice Testmrkazanjian.weebly.com/uploads/2/2/6/6/22669038/alg_eoc...ID: A 1 Algebra EOC Item Specs Practice Test ____ 1. As a diver swims deeper underwater,

ID: A

1

Algebra EOC Item Specs Practice Test

____ 1. As a diver swims deeper underwater, the water pressure in pounds per square inch (PSI) increases on the diver. The table below shows the pressure in PSI for several depths of water.

Which equation represents p, the water pressure in square inches, as a function of d, the depth in feet?

a. p = 4.3d b. p = 0.43d c. p = 23.3d d. p = 2.33d

____ 2. Andrew plotted a set of points on the coordinate grid shown below. All of the points have integer coefficients. Which of the following points could be removed so that Andrew’s graph represents a function?

a. (-4, -3) b. (-2, 1) c. (0, 0) d. (2, -2)

Name: ______________________ ID: A

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3. For one child, a childcare facility charges $300 per month for preschool and $3.50 per hour for each hour of childcare after preschool. The function below can be used to determine f (h), the monthly fee for childcare and preschool, where h represents the number of hours spent in childcare after preschool.

f (h) = 300 + 3.5h

If the one-month charges for one child totaled $637.75, what was the total number of hours the child spent in childcare after preschool?

4. The function shown below is used to convert a temperature, x, in degrees Fahrenheit (°F), to a temperature, f(x), in degrees Celsius(°C).

Micah wanted to convert today’s high temperature of 77°F to °C. What is today’s high temperature in °C?

Name: ______________________ ID: A

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____ 5. An economics teacher plotted the value of a stock on 11 different days during a 500-day period and used line segments to connect them. In the graph below, the horizontal axis is measured in days and the vertical axis is measured in dollars.

Based on the graph, which of the following best describes the range of the value of the stock for this 500-day period?

a. 0 ≤ x ≤ 500 b. 1 ≤ x ≤ 500 c. 10 ≤ y ≤ 60 d. 0 ≤ y ≤ 80

6. The set of ordered pairs shown below defines a relation.

{(0, 0), (1, 5), (2, 8), (3, 9), (4, 8), (5, 5), (6, 0)}

What is the value of the greatest element in the range of this relation?

7. J’Nai has a radio-controlled airplane that weighs 7 kilograms (kg). The equation below shows k, the kinetic energy of a 7 kg object, as a function of v, its velocity in meters per second (m/s).

J’Nai found that her plane could do a certain trick if the plane was going at least 8 m/s but no more than 12 m/s. What is the greatest value in the range?

Name: ______________________ ID: A

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____ 8. Mario needs to cut three book shelves from a board that is 1.8 meters long. The second shelf is15 centimeters longer than twice the length of the first shelf. The remaining shelf is 5 centimeters longer than the first shelf. The equation below represents this situation, where x is the length of the first shelf in meters.

x + (2x + 0.15) + (x + 0.05) = 1.8

Which of the following is the length, in meters, of the first shelf?

a. 0.40 b. 0.45 c. 0.53 d. 0.96

9. Bill is planning to drive from his house to a baseball stadium and arrive in time for the beginning of the championship game. His arrival time depends on the traffic. If traffic is light, he will travel at an average speed of 50 miles per hour and arrive 1 hour early. If traffic is heavy, he will travel at an average speed of 30 miles per hour and arrive on time. The equation below can be used to model this situation, where t represents Bill’s driving time, in hours.

50(t - 1) = 30t

What is the distance, in miles, from Bill’s house to the baseball stadium?

Name: ______________________ ID: A

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____ 10. The Gross Domestic Product of a country for a given year is the sum of the market values of all goods and services produced within the country during that year. The Gross Domestic Product per capita is found by using the following formula.

S = C + I + G + NP

where:S = Gross Domestic Product per capitaC = consumer spendingI = investmentG = government purchasesN = net exportsP = population

Which of the following shows the Gross Domestic Product per capita formula solved for C ?

a. C = PSI - G - N

c. C = PS - I - G - N

b. C = PSI + G + N

d. C = PS - I + G + N

Name: ______________________ ID: A

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____ 11. Carol wants to make a sculpture using brass and aluminum, with the dimensions shown below.

The area of the aluminum section can be found using the equation A = 12ah − 1

2bh.

Which of the following shows the aluminum section’s area formula solved for h?

a. h = 2A a − b( ) c. h = A2 a − b( )

b. h = 2Aa − b

d. h = A a − b( )2

____ 12. Taylor has a total of $25 to spend on dinner, which includes a 6.5% sales tax and a 20% tip. Taylor used the inequality shown below to calculate the amount in dollars, a, she can spend before tax and tip.

1.2(a + 0.065a) ≤ 25

Which of the following shows the solution to this inequality?

a. a ≤ 22.74 b. a ≤ 22.34 c. a ≤ 19.76 d. a ≤ 19.56

Name: ______________________ ID: A

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____ 13. Which graph shows the solution to the inequality shown below?

15 ≤ 7n - 2(n - 10) < 35

a.

b.

c.

d.

Name: ______________________ ID: A

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____ 14. The out-of-pocket costs to an employee for health insurance and medical expenses for one year are shown in the table below.

According to the plan outlined in the table, total annual health care costs, C, depend on the employee’s medical expenses for that year. If x represents the total medical expenses of an employee on this plan and x ≥ 500, which of the following equations can be used to determine this employee’s total health care costs for that year?

a. C = 3,626 - 500 + 0.20(x - 500)b. C = 3,626 - 500 + 0.20xc. C = 3,626 + 500 + 0.20(x - 500)d. C = 3,626 + 500 + 0.20x

Name: ______________________ ID: A

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15. Karen works as a salesperson for a local marketing company. Using the equations shown below, the company calculates her monthly earnings based upon her total sales for the month.

where: E represents total monthly earnings before taxes and withholding s represents the dollar amount of her total sales

Karen’s total sales were greater than $5,000 in October. If her total monthly earnings for October were $3,000, what was the value of her total monthly sales, s ?

16. Ethan’s job at a local home improvement store is to mix paint to make different colors. For a particular customer, he mixed p liters of blue paint, 0.8p liters of yellow paint, and p - 0.4 liters of orange paint. He then divided the mixture evenly into two cans. If each can contains 1.9 liters of paint, how many liters of blue paint did he use?

Name: ______________________ ID: A

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____ 17. Roger went to a garage sale where hardback books sold for $5 each and paperback books sold for $2.50 each. He has $20 to spend. The equation below can be used to find how many books of each type Roger can buy, where x is the number of hardback books and y is the number of paperback books.

5x + 2.5y = 20

Which of the following shows the graph of this equation?

a. c.

b. d.

Name: ______________________ ID: A

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____ 18. Kristen can spend up to $50 on rock to landscape her yard. She decides to use both pebble rock and river rock. Pebble rock costs $2 per pound, and river rock costs $5 per pound. The inequality 5x + 2y ≤ 50 models the possible number of pounds of pebble rock and river rock that Kristen can purchase. Which graph represents the inequality?

a. c.

b. d.

____ 19. An architect designed an outdoor staircase for a house. The relationship between the height of thesteps and the length of the tread is modeled by the following equation:

57x - 95y = 0.

Which of the following represents the slope of the equation?

a. 53

b. 32

c. 23

d. 35

Name: ______________________ ID: A

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20. An engineer needs to determine the slope between two points on a gondola ride in order to evaluate the power requirements when the gondola is full of passengers. A coordinate grid has been placed over a diagram between the two points, as shown below. For estimation purposes, a straight line between the two points can be used to find the slope.

Assuming the cable runs in a straight line, what is the slope of the line between the two points shown?

21. Brianna plotted the two points (20, 75) and (45, 150) on a graph. What is the x-coordinate of the x-intercept of the line that contains these two points?

22. Samuel graphed the equation shown below. What is the y-intercept of the line?

70x + 50y = 630

Name: ______________________ ID: A

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____ 23. In a technical drawing class, students are analyzing the side view of a house that has been positioned on a coordinate grid, as shown below.

Which of the following equations best represents the line that contains PQ ?

a. y = - 52

x + 14.4 c. y = - 25

x + 14.4

b. y = 52

x + 27 d. y = 25

x + 27

Name: ______________________ ID: A

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24.

Name: ______________________ ID: A

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25. The line AB is graphed on the coordinate grid below. What is the x-intercept of the line that is perpendicular to line AB at point B?

Name: ______________________ ID: A

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____ 26. David is training for a marathon. He writes down the time and distance for each training run and then records the data on a scatter plot. He has drawn a line of best fit on the scatter plot, as shown below.

Which statement best expresses the meaning of the slope as a rate of change for this line of best fit?

a. It represents the number of miles he will have to run to finish the marathon.

c. It represents the number of hours he will need to finish the marathon.

b. It represents the average speed, in miles per hour, of his training runs.

d. It represents the distances, in miles, that he ran while he was training.

Name: ______________________ ID: A

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27. Joel graphed the line shown on the coordinate plane below.

What is the x-coordinate of the point at which this line intersects the x-axis?

28. A tank containing water is being drained at a constant rate. The points on the grid below represent the volume of water remaining in the tank as a function of time. At what rate, in cubic feet per minute, is the volume of the water changing?

Name: ______________________ ID: A

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____ 29. Russ bought 3 medium and 2 large submarine sandwiches for a total of $29.95. Stacy bought 4 medium and 1 large submarine sandwiches for a total of $28.45.

Which statement shows the cost of each medium and each large submarine sandwich?

a. Each medium sandwich costs $5.69 and each large sandwich costs $6.89.

b. Each medium sandwich costs $5.69 and each large sandwich costs $6.39.

c. Each medium sandwich costs $5.39 and each large sandwich costs $6.89.

d. Each medium sandwich costs $5.39 and each large sandwich costs $6.39.

30. A website that sells songs for downloading increased its price per song from $0.99 to $1.29. Macy spent $15.36 downloading songs during the month of the price increase. She downloaded 4 more songs at $0.99 than at $1.29. The set of equations below represents the situation where x is the number of songs Macy downloaded at $0.99 and y is the number of songs she downloaded at $1.29.

x = y + 40.99x + 1.29y = 15.36

What is the exact number of songs Macy downloaded at the $0.99 price?

____ 31. The expression (m 6n5q3)2 is equivalent to which of the following?

a. m 12n10q6 c. 2m 8n7q5

b. m 36n25q9 d. 2m 12n10q6

Name: ______________________ ID: A

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32. Mina simplified the expression shown below.

(a3b -6)(a2b 2)

Her final answer was in the form amb n. If she simplified the expression correctly, what is the value of n, the exponent on b ?

____ 33. Which expression is equivalent to the perimeter of the shaded portion of the rectangle?

a. 2x + 10 b. 2x + 12 c. 4x + 14 d. 8x + 28

Name: ______________________ ID: A

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34. New photo imaging techniques on computers allow artists to distort an image from its original shape. Figure 1 is a square image. Figure 2 is stretched 4 units wider and shrunk 4 units shorter than Figure 1.

How many square units greater is the area of Figure 1 than the area of Figure 2?

____ 35. Members of the art club want to raise money for their next field trip. They plan to decorate greeting cards with glitter and origami animals made of origami paper. They wrote the expression below to help calculate their total expenses.

(np + ng) + ncwhere:

c cost of one greeting cardg cost of glitter per cardp cost of origami animals per cardn number of cards

Which of the following expressions is equivalent to the expression above?

a. n(p + g + c) c. 3n(p + g) + cb. n(p + g) + c d. 3n(p + g + c)

Name: ______________________ ID: A

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____ 36. The area of a rectangle is 2x 2 − 7x − 15. Which of the following shows possible dimensions of the rectangle?

a. 2x + 3( ) and x − 5( ) c. 2x + 3( ) and 2x − 10( )b. 2x − 3( ) and x + 5( ) d. 2x − 3( ) and 2x + 10( )

____ 37. If x ≠ 3, which of the following shows the expression below in simplest form?

´ 3x2 - 27x - 3

a. 3(x + 3) b. 3(x - 3) c. 3(x + 9) d. 3(x - 9)

____ 38. Charlie needs to simplify the expression below before he substitutes values for x and y.

x18y12 + x9y8

x3y4

If x ≠ 0 and y ≠ 0, which of the following is a simplified version of the expression above?

a. x9y5 c. x6y3 + x3y2

b. x24y16 d. x15y8 + x6y4

____ 39. If x ≠ 0 and x ≠ 0, which expression is equivalent to the expression shown below?

6x 6 y 2 − 12x 4 y 3 + 3x 2 yÊ

ËÁÁÁÁ

ˆ

¯˜̃̃˜ ÷ 3x 2 y

Ê

ËÁÁÁÁ

ˆ

¯˜̃̃˜

a. 2x 4 y − 4x 2 y 2 c. 3x 3 y 2 − 9x 2 y 3

b. 2x 4 y − 4x 2 y 2 + 1 d. 3x 3 y 2 − 9x 2 y 3 + 1

Name: ______________________ ID: A

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____ 40. Tammy made similar models of a building, with dimensions, in inches, as shown in thediagram below.

What is the value, in inches, of x?

a. 3 b. 4 c. 5 d. 6

41. What is the solution of the equation below?

2x - 14

= 34x

____ 42. Neelam simplified the expression below for a homework assignment.

12 + 3x + 7 3

If Neelam simplified the expression correctly, which of the following is her answer?

a. 9 3 + 3x c. 7 15 + 3xb. 11 3 + 3x d. 8 15 + 3x

Name: ______________________ ID: A

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____ 43. In the expression below, x > 0. Which of the following is equivalent to this expression?

16x 7

2x 2

a. 2 x 5 b. 2x 2 2x c. 4x 3 2x d. 8 x 5

____ 44. Which of the following is the graph of y = x2 + 2x - 8?

a. c.

b. d.

Name: ______________________ ID: A

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____ 45. Timmy and Kelli had a water balloon launcher. When launched, the water balloon’s height could be modeled by the quadratic equation

y = −4.9x 2 + 17.15x + 0.5.

The graph shown below represents the water balloon’s height.

Which of the following is true about the water balloon?

a. The water balloon reaches a height of 16 meters.

b. The water balloon reaches the height of 7.85 meters twice.

c. The water balloon has a maximum height of 17.15 meters.

d. The water balloon travels for 4.9 seconds before it hits the ground.

____ 46. Jeannie solved the quadratic equation shown below by factoring.

x2 + 2x - 8 = 0

Which of the following shows a step in solving the equation shown?a. (x + 2)(x + 4) = 0 c. (x - 2)(x + 4) = 0b. (x + 2)(x - 4) = 0 d. (x - 2)(x - 4) = 0

Name: ______________________ ID: A

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47. A ball is kicked from ground level into the air. Its height y, in feet, after x seconds can be represented by the equation y = 40x - 16x2. What is the total elapsed time, in seconds, from the time the ball is kicked until it reaches ground level again?

____ 48. The set T represents several Taurine breeds of cattle.

T = {Angus, Devon, Shorthorn, Texas Longhorn}

The set Z represents several Zebu breeds of cattle.

Z = {Boran, Nelore, Ponwar}

What is the total number of elements in the set T X Z ?

a. 7 b. 9 c. 12 d. 20

49. Set D lists the ages of Dianna’s grandchildren.

D = {2, 5, 6, 8, 10, 11}

Set K lists the ages of Karen’s grandchildren.

K = {2, 10, 18}

Set P lists the ages of Patrick’s grandchildren.

P = {10, 11, 14}

What is the greatest age in the set (K∪ P) ∩ D?

Name: ______________________ ID: A

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50. The Venn diagram below shows the number of students who chose to participate in each of the three sports offered at Sports Camp.

Based on the diagram, what is the total number of students who did NOT participate in volleyball?

Name: ______________________ ID: A

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____ 51. The universal set contains only sets R, S, and T. These sets are related as shown in the Venn diagram below.

Which set represents (∼R ∩ S) ∪ (∼ T ∩ S)?

a. {d, e, f, j} c. {d, e, f, j, k, m, n}b. {d, j, k, m, n} d. {d, e, f, g, j, k, m, n}

____ 52. The owner of a clothing store buys leather jackets at wholesale cost, then sells them to the public at a higher retail price. She determines the retail price of one jacket by tripling the wholesale cost and adding 10% of the wholesale cost. Which equation could be used to calculate r, the retail price of a jacket, based on w, the wholesale price of the jacket?

a. r = 3w+ 10w c. r = w+ 10(3w)b. r = 3w+ 0.1w d. r = w+ 0.1(3w)

Name: ______________________ ID: A

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53. Monique owns a catering business. Last weekend, she catered two events in which all attendees were served either a chicken or a steak dinner. The table below shows some pricing information about these two events.

The following system of equations can be used to determine the before-tax price of c dollars for each chicken dinner and s dollars for each steak dinner Monique served.

27c + 17s = 809.50

46c + 34s = 1495.00

What is the before-tax price of a chicken dinner?

54. What is the x-intercept of the line parallel to 2x − 4y = 8 and passing through (7,1)?

ID: A

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Algebra EOC Item Specs Practice TestAnswer Section

1. ANS: B PTS: 1 REF: MA.912.A.2.3 STA: MA.912.A.2.3

2. ANS: D PTS: 1 REF: MA.912.A.2.3 STA: MA.912.A.2.3

3. ANS: 96.5

PTS: 1 REF: MA.912.A.2.3 STA: MA.912.A.2.3 4. ANS: 25

PTS: 1 REF: MA.912.A.2.3 STA: MA.912.A.2.3 5. ANS: C PTS: 1 REF: MA.912.A.2.4

STA: MA.912.A.2.4 6. ANS: 9


PTS: 1 REF: MA.912.A.2.4 STA: MA.912.A.2.4 8. ANS: A PTS: 1 REF: MA.912.A.3.1

STA: MA.912.A.3.1 9. ANS: 75


STA: MA.912.A.3.3 11. ANS: B PTS: 1 REF: MA.912.A.3.3

STA: MA.912.A.3.3 12. ANS: D PTS: 1 REF: MA.912.A.3.4

STA: MA.912.A.3.4 13. ANS: D PTS: 1 REF: MA.912.A.3.4

STA: MA.912.A.3.4 14. ANS: C PTS: 1 REF: MA.912.A.3.5

STA: MA.912.A.3.5 15. ANS: 8600

PTS: 1 REF: MA.912.A.3.5 STA: MA.912.A.3.5 16. ANS: 1.5



STA: MA.912.A.3.8

ID: A

2


20. ANS: 1/4

PTS: 1 REF: MA.912.A.3.9 STA: MA.912.A.3.9 21. ANS: -5

PTS: 1 REF: MA.912.A.3.9 STA: MA.912.A.3.9 22. ANS: 12.6


STA: MA.912.A.3.10 24. ANS: 2


PTS: 1 REF: MA.912.A.3.10 STA: MA.912.A.3.10 26. ANS: B PTS: 1 REF: MA.912.A.3.11

STA: MA.912.A.3.11 27. ANS: 5.5

PTS: 1 REF: MA.912.A.3.11 STA: MA.912.A.3.11 28. ANS: -5/3


STA: MA.912.A.3.14 30. ANS: 9


STA: MA.912.A.4.1 32. ANS: -4


STA: MA.912.A.4.2 34. ANS: 16


STA: MA.912.A.4.3 36. ANS: A PTS: 1 REF: MA.912.A.4.3

STA: MA.912.A.4.3

ID: A

3

37. ANS: A PTS: 1 REF: MA.912.A.4.3 STA: MA.912.A.4.3


39. ANS: B PTS: 1 REF: MA.912.A.4.4 STA: MA.912.A.4.4

40. ANS: A PTS: 1 REF: MA.912.A.5.4 STA: MA.912.A.5.4

41. ANS: -42/5 or -8.4






STA: MA.912.A.7.2 47. ANS: 2.5

PTS: 1 REF: MA.912.A.7.2 STA: MA.912.A.7.2 48. ANS: C PTS: 1 REF: MA.912.D.7.1

STA: MA.912.D.7.1 49. ANS: 11

PTS: 1 REF: MA.912.D.7.1 STA: MA.912.D.7.1 50. ANS: 35

PTS: 1 REF: MA.912.D.7.2 STA: MA.912.D.7.2 51. ANS: B PTS: 1 REF: MA.912.D.7.2

STA: MA.912.D.7.2 52. ANS: B PTS: 1 REF: MA.912.A.3.5

STA: MA.912.A.3.5 53. ANS: 15.5


PTS: 1 REF: MA.912.A.3.10 STA: MA.912.A.3.10

Documents

Algebra EOC Item Specs Practice Testmrkazanjian.weebly.com/uploads/2/2/6/6/22669038/alg_eoc...ID: A 1 Algebra EOC Item Specs Practice Test ____ 1. As a diver swims deeper underwater,