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Record your answers by coloring in the appropriate bubble for the best answer to each question.

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25

26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75

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Practice TestStudent Answer Document

Name Date

Mastering the EOI, Algebra I 35

35_OK_EOI_SAD_894010.indd 35 6/1/09 2:20:57 PM

35_36_OK_EOI_SAD_894010.indd 36 7/1/09 12:58:33 PM

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Practice Test

1 The table below lists the total population and population density of 6 U.S. states.

Which of the following statements is supported by the information in the table?

A The population of Montana is 3 times the population of Alaska and its density is 6 times the population density of Alaska.

B The ratio of New Mexico’s population to Oklahoma’s population is equal to the ratio of their population densities.

C The size of a state’s population has no bearing on its population density.

D The states with the highest populations also have the highest population densities.

Population and Population Density

State PopulationPopulation

Density (per sq mi)

Alaska 648,818 1.1

California 33,871,648 217.2

Montana 902,195 6.2

New Mexico 1,819,046 15.0

Oklahoma 3,450,654 79.6

2 Which of these graphs represents the solution of x - 3 > 2 or 3x + 3 ≤ 6?

F 012 1 2 3 43456 5 6

G 012 1 2 3 43456 5 6

H 012 1 2 3 43456 5 6

J 012 1 2 3 43456 5 6

3 (4t - 2) - (3t + 4) - (t - 8)What is the simplified form of this expression?

A 3t + 10 C 14B 8t - 6 D 2

4 x 3 6 9 12

y 9 18 27 36

This table represents points that belong to a given line. What is the equation of the line that passes through the points in the table?

F y = 3xG y = 3x - 6H y = -3x + 6J y = 3x + 18

37_54_OK_EOI_PT_894010.indd 37 6/26/09 8:32:07 AM

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Practice Test (continued)

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6 Of the first 50 adults to receive tickets at an Imax Theater, 15 receive blue tickets and 20 receive red tickets. Pedro buys an adult ticket. Based on this information, what is the probability that his ticket is neither blue nor red?

F 3 _ 10

H 7 _ 10

G 4 _ 7 J 3 _ 4

7 What is the slope of the line that passes through the points (2, -3) and (4, 7)?

A 1 _ 5

B 1 _ 2

C 2D 5

8 The profit (P) in dollars that a bakery makes when producing x loaves of bread is given by the equation P = 45x - 225. For what value of x is the bakery’s profit equal to 0?

F 0G 1H 4J 5

9 The formula for the volume of a regular pyramid with base area B and height h is given in the box below.

V = 1 _ 3 Bh

Which of the following is an equivalent form when this equation is solved for the base, B?

A 1 _ 3 Vh

B 1 _ 3 V _

h

C 3h _ V

D 3V _ h

52 1

5 2

What is the area of the rectangle?

A 10x2 - x - 2B 10x2 - 2C 10x2 + 9x - 2D 10x2 + x - 2

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10 Which expression is the factored equivalent of 4x2 - 5x + 1?

F (4x + 1) (x + 1) G (4x - 1) (x - 1) H (4x + 1) (x - 1) J (2x - 1) (2x - 1)

11 The stem-and-leaf graph shows the daily high temperatures for Piedmont, Oklahoma for the first half of April 2009.

Stem Leaf 5 0 2 5 6 8 6 1 9 9 7 0 2 2 4 9 9 8 7 Key 7 | 2 = 72

Which of these is not an advantage of presenting the data in a stem-and-leaf graph?

A The spread of the data is apparent.

B It is easy to find the mode of the data.

C It is easy to determine which day had the greatest temperature.

D The temperatures are organized from least to greatest.

12 {(-1, 0), (2, 2), (2, 5), (4, 8), (5, 3), (8, 5)}Which set of numbers represents the domain of the given set of ordered pairs?

F {-1, 2, 8} H {0, 2, 4, 5, 8}G {-1, 0, 3, 5} J {-1, 2, 4, 5, 8}

130 1 2 3 4 5 6

Which inequality is represented by this number line?

A x – 2 ≥ 0 C x + 2 ≥ 0B x – 2 ≤ 0 D x + 2 ≤ 0

Stem Leaf5 0 2 5 6 8

1

14 Look at the scatter plot below.

Which equation represents the line of best fit for this scatter plot?

F y = x + 4G y = x + 2H y = 2x + 2J y = 2x + 4

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15 f(x) = x2 - 7xWhat is the value of f(9)?

A -45B -6C 16D 18

16

Which equation represents a line that is perpendicular to the graphed line?

F y = -4x + 1G y = 4x + 1

H y = - 1 _ 4 x + 1

J y = 1 _ 4 x - 1

18 Marva and her friends are having a class reunion at a cabin. Marva starts off with $20.00 and is saving $10.00 each week to pay for the cabin. The graph shows the number of weeks Marva saves money and the total amount of money she has saved.

Based on the graph, which statement is true?

F The value of y at point Q is 20.G The slope of

−− PQ is 10.

H The value of y at point P is 10.J The slope of

−− PQ is 20.

17

What is the solution to the graphed system of equations?

A (0, 0) C (-1, 1) B (1, -1) D (0, 3)

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37_54_OK_EOI_PT_894010.indd 40 6/26/09 8:32:13 AM

20 n = 6n + 5Which sentence is represented by this equation?

F Six times a number is five more than the number.

G A number plus five equals the product of six and the number.

H A number is five more than the product of the number and six.

J Six times the sum of a number and five is equal to the number.

19 The sum of two numbers is 46. Their difference is 14. What is the product of the two numbers?

A 840B 644C 480D 420

21 A cup is shaped like a cylinder. The height of the cup is 10 centimeters, and the radius of the cup is 6 centimeters. What is the approximate volume of the cup? (Use 3.14 for π.)

V = πr 2h

A 113 cubic centimetersB 360 cubic centimetersC 1,130 cubic centimeters D 1,884 cubic centimeters

22 What is the equation of a line that has a slope of -3 and passes through the y–axis at 4?

F y = -3 (x + 4) G y = -3 (x - 4) H y = -3x + 4J y = -3x - 4

23 The function y = | x | is graphed below.

Which of these describes what happens to the graph when the function is changed to y = | x | + 3?

A The graph shifts three units down.B The graph shifts three units to

the left.C The graph shifts three units to

the right. D The graph shifts three units up.

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37_54_OK_EOI_PT_894010.indd 41 6/26/09 8:32:14 AM

24 Betty worked as a waitress and earned the total tips shown for each week last month.

Betty’s Earnings

Week Amount Earned

1 $150

2 $200

3 $175

4 $300

Betty wants to predict the total amount in tips that she will earn over the next 5 weeks. Which of these is the best estimate?

F $1000.00G $ 800.00H $ 400.00 J $ 200.00

25 y

x

What is the equation of the function shown on the graph?

A y = x _ 2 + 1

B y = x _ 2 - 2

C y = 2x + 1D y = 2x - 2

26 Black Mesa, the highest point in Oklahoma, is 1,516 meters above sea level. What is the approximate volume of a cone shaped structure that has the same height as Black Mesa and a radius of 505 meters? (Use 3.14 for π.)

V = 1 _ 3 πr 2h

F 1.21 × 109 cubic metersG 4.05 × 108 cubic metersH 2.67 × 107 cubic metersJ 8.01 × 105 cubic meters

27 Six less than three times a number is two. Which equation represents the previous statement?

A 6 - 3n = 2B 3n - 6 = 2C 3 (n - 6) = 2D 3 (6 - n) = 2

28 A box contains 10 red pens and 10 black pens. Amy removes 2 red pens and 1 black pen from the box and does not replace them. She then reaches into the box and selects a pen at random. What is the probability that the pen is red?

F 8 _ 9 H 1 _ 2

G 9 _ 17

J 8 _ 17

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29 Which graph represents the inequality 2x + y > -2?

A

B

C

D

30 The table below represents the number of new freshmen enrolled at Oklahoma State University, Stillwater for each of the four school years.

Trey determined the best-fit line that models this data is y = 181.45x + 2,449.4, where x represents the number of years since 1997 and y represents the enrollment. According to Trey’s model, what is the best prediction for the freshmen enrollment at Oklahoma State University, Stillwater in 2000?

F 3,056G 2,994H 2,805J 2,641

31 A truck rental company charges $0.25 per mile and a per-day charge of $22. Which equation represents the daily charge (y) in terms of the miles (x) driven?

A y = 0.25(x + 22)B y = 0.25x + 22C y = 22x + 0.25D y = 22(x + 0.25)

EnrollmentYear 1997 1999 2001 2003

Number of

Students2,377 2,904 3,209 3,485

37_54_OK_EOI_PT_894010.indd 43 6/29/09 10:29:08 AM

32 Jon starts off with $1000.00 in his checking account. He deposits $100.00 per week without withdrawing any funds. The graph shows the number of weeks Jon deposits money into his checking account, and the amount of money, in dollars in the account.

Based on the graph, which statement is true?

F The slope of −−− MN is 100.

G The slope of −−− MN is 1000.

H The value of y at point M is 100.J The value of y at point N is 1000.

33 y = x + 3 y = -x + 9What is the y-value of the solution to this system of equations?

A 1 C 6B 3 D 9

34 The equation below represents the cost (y) of a medium pizza with different number of toppings (x).

y = 12.50 + 0.5xHope paid $15.00 for a medium pizza. How many toppings were on Hope’s pizza?

F 4 toppingsG 5 toppingsH 6 toppingsJ 7 toppings

35 The formula for the surface area of a regular pyramid with base area B and perimeter P is given in the box below.

S = 1 _ 2 Pℓ + B

Which of the following is an equivalent equation when this formula is solved for the perimeter, P ?

A 2 (S - B) _

ℓ

B 2 (S + B)

_ ℓ

C S + B _ 2ℓ

D S - B _ 2ℓ

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37_54_OK_EOI_PT_894010.indd 44 6/26/09 8:32:19 AM

36 The table below shows the metropolitan population of Tulsa, Oklahoma.

Tulsa Metropolitan PopulationYear Population1970 572,548

1972 592,000

1974 611,900

1976 638,500

1978 664,000

Ben determined the line of best fit that models this data is y = 11,470x + 569,909, where x represents the number of years since 1970 and y represents the population. According to Ben’s model, what is the best prediction for the metropolitan population of Tulsa in 1975?

F 620,900G 625,200H 627,259J 633,000

38 Tariq starts with $25 and saves $12 a week. At the same time, Bella starts with $55 and saves $2 a week. In how many weeks will they have the same amount of money?

F 1 H 3G 2 J 4

37 The function f(x) in the table below is linear.

x f(x)-9 2

-5 4

-1 6

What is the value of f(7)?

A 3B 7C 8D 10

39 Mary recorded the number of points she scored in her weekly basketball games compared with the number of hours she spent practicing her shooting the week before the game.

What does the scatter plot imply about the relationship between the number of points scored and the number of hours in shooting practice?

A Mary will never practice more than 15 hours.

B Mary will never score more than 30 points.

C Scoring more points will cause Mary to practice more.

D The more Mary practices, the more points she tends to score.

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40 Victor deposited $250 in his savings account. The graph shows how the money in his savings account will increase over the next 11 years.

What does the y-intercept of this graph represent?

F the increase per yearG the amount of money earnedH the rate of interestJ the original amount deposited

42 The graphs below compare the highest and lowest winning scores for the Oklahoma Sooners Football team for three consecutive months in two consecutive years.

Which month in a particular year had the biggest difference in the winning scores?

F November; 1954G October; 1955H November; 1955J October; 1954

41 Kathy has $10.70 in a jar that contains only nickels and dimes. There are 120 coins in the jar. How many nickels are in Kathy’s jar?

A 94B 36C 26 D 24

37_54_OK_EOI_PT_894010.indd 46 6/26/09 8:32:23 AM

46

43 The tables shows the delivery charges by a local appliance store based on the number of miles traveled.

What does the slope of the linear relationship in the table represent?

A the ratio of the change in miles traveled to the change in the amount charged

B the ratio of the change in the amount charged to the change in miles traveled

C the ratio of miles traveled to the amount charged

D the ratio of the amount charged to the miles traveled

44 y = x + 5y = -x + 3

What is the y-value of the solution to this system of equations?

F 1G 2H 3J 4

45 Peter throws balls at a target. The target is a square board having a circle with a 16-inch radius drawn on it, as shown below. Peter hits the board every time, but his throws are totally random.

16 in.

What is the probability to the nearest hundredths that his next throw will hit the board outside the circle? (Use 3.14 for π.)

A = πr 2

A 0.22B 0.30C 0.70D 0.79

4

2 6

What is the area of the rectangle?

F 2x2 + 2x - 24G 2x2 - 24H 2x2 + 14x - 24J 2x2 - 2x - 24

Delivery Service ChargesMiles

Traveled 1 2 3 4

Charge $29.00 $38.00 $47.00 $56.00

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37_54_OK_EOI_PT_894010.indd 47 6/26/09 8:32:24 AM

47 f (x) = x 2 - 2x + 1What is the value of f(3)?

A 1B 4C 13D 16

49

What is the equation of the graphed function?

A y = 3 _ 4 x + 1 _ 3

B y = - 3 _ 4 x - 1 _ 3

C y = - 4 _ 3 x - 1 _ 3

D y = - 4 _ 3 x + 1 _ 3

50

3 5

What is the area of the figure?

F 6x2 + 10G 9x2 + 30x + 25H 6x2 + 30x + 25J 9x2 + 10

51

Which inequality is represented by this graph?

A y ≤ 1 _ 2 x + 1

B y ≥ 1 _ 2 x + 1

C y ≥ 2x + 1D y ≤ 2x + 1

48 Alberto is five years younger than Ana. The sum of their ages is less than 30. Let x represent Ana’s age. Which inequality can be used to find the possibilities of Ana’s age?

F 2x - 5 > 30G 2x - 5 < 30H 2x - 5 ≥ 30J 2x - 5 ≤ 30

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37_54_OK_EOI_PT_894010.indd 48 6/26/09 8:32:26 AM

52 Which expression is the factored equivalent of 3x2 - 4x + 1?

F (3x -1)(x - 1) H (3x + 1)(x – 1)G (3x + 1)(x + 1) J (3x - 1)(x + 1)

53 The table below shows the amount charged for shipping and handling based on the weight of the package, where y is the total charge and x is the weight in pounds. Which equation models this situation?

Weight of Package

(in pounds)

Shipping and

Handling(in dollars)

0.5 3.50

1 3.75

1.5 4.00

2 4.25

2.5 4.50

A y = 0.5x + 3.25B y = 3.75x + 0.5C y = x + 3.25D y = 3x + 2

54 {(-1, 1), (2, 6), (2, 8), (6, 3), (6, -1), (6, 2), (8, 9)}Which set of numbers represents the domain?

F {-1, 2, 3}G {1, 2, 3, 6}H {-1, 2, 6, 8}J {-1, 2, 3, 6, 8}

55 Which of these number lines represents the solution of

-3 ≤ 3 - x ≤ 2?

A 0-1-2 1 2 3 4-3-4-5-6 5 6

B 0-1-2 1 2 3 4-3-4-5-6 5 6

C 0-1-2 1 2 3 4-3-4-5-6 5 6

D 0-1-2 1 2 3 4-3-4-5-6 5 6

56 Which expression is the factored equivalent of 2x2 + 5x + 3?

F (2x + 3)(x – 1) H (2x + 3)(x + 1)G (2x – 3)(x – 1) J (2x – 3)(x + 1)

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57 Which of these graphs represents the solution of x + 3 ≤ -1?

A 0-1-2-3-4-5-6 1 2 3 4 5 6

B 0-1-2-3-4-5-6 1 2 3 4 5 6

C 0-1-2-3-4-5-6 1 2 3 4 5 6

D 0-1-2-3-4-5-6 1 2 3 4 5 6

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61 What is the value of |y - 6| wheny = -5?

A -11 C 3B -3 D 11

63 Which of these describes what happens to the graph of the equation y = 2 when the equation is changed to y = -5?

A The y-intercept changes from 2 to positive 5.

B The y-intercept does not change.C The y-intercept changes from 2 to

negative 5.D The slope changes from 2 to

negative 5.

62 x y-5 6

-3 -5

-3 6

0 6

2 0

2 -3

The table shows the relationship between x and y. Which set represents the range?

F {-5, -3, 0, 6}G {-5, -3, 0, 2}H {-5, -3, 2, 6}J {-5, -3, 0, 2, 6}

58 What is the value of the expression-2h + 4hj - 3j – (- h) when h = -2 and j = -4?

F 46G 14H -22J -54

59 If f(x) = 10x + 2, which expression represents f(x - 1)?

A 10x - 12B 10x - 8C 10x + 1D 10x + 2

60 x y0 -2

3 8

6 18

What is the slope of the line that passes through the points on the table shown above?

F 1 _ 6

G 3 _ 10

H 10 _ 3

J 6

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37_54_OK_EOI_PT_894010.indd 50 6/26/09 8:32:30 AM

64 5 _ √ " 2

What is the simplified value of this expression?

F √ " 5 _

2 H 2 √ " 5

G 5 √ " 2 _

2 J 5 √ " 2

65 The function y = x is graphed below.

Which of these describes what happens to the graph when the function is changed to y = x - 2?

A The graph shifts down 2 units.B The graph shifts up 2 units.C The graph shifts left 2 units.D The graph shifts right 2 units.

66

68 A toy is shaped like a cube. The length of one side of the cube is 11 inches. What is the volume of the sand needed to fill the toy cube?

V = s3

F 1,331 cubic inchesG 121 cubic inchesH 33 cubic inchesJ 14 cubic inches

67 The function below shows the cost Allan paid to attend an Oklahoma Sooners baseball game with a general admission ticket and buy h hotdogs.

f(h) = 8 + 2.50hAllan spent $15.50 at the Oklahoma Sooners baseball game. How many hotdogs did Allan buy?

A 9B 4C 3D 1

Dave can type 8 pages in 24 minutes. At this rate, how long should it take Dave to type a 60-page report?

F 90 minutesG 108 minutesH 156 minutesJ 180 minutes

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37_54_OK_EOI_PT_894010.indd 51 6/26/09 8:32:32 AM

69 If f (x) = 3x - 4, which expression represents f (x + 1)?

A 3x - 1B 3x - 3C 3x -4D 3x + 7

70 The warmest month in Tulsa, Oklahoma is July where the average day time temperature rises to 93.8°F. What is this average day time temperature in July in degrees Celsius?

C = 5 _ 9 (F - 32)

F 111.0°C H 69.9°CG 84.1°C J 34.3°C

72 Which graphs shows points that represent nonlinear data?

F

G

H

J

71 The weights and prices of four brands of cat food is shown in this table

Which brand has the lowest unit price?

A Brand WB Brand XC Brand YD Brand Z

Brand W

Brand X

Brand Y

Brand Z

Weight(pounds) 6 9 11 16

Price $5.98 $7.50 $10.25 $15.35

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37_54_OK_EOI_PT_894010.indd 52 6/26/09 8:32:33 AM

73 Twelve hundred students in a high school were asked to choose their favorite color among four possible choices. The results are shown in the table below.

Favorite ColorBlue Red Black Pink480 400 200 120

Which circle graph correctly displays the results?

A Favorite Color

B Favorite Color

C Favorite Color

D Favorite Color

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37_54_OK_EOI_PT_894010.indd 53 6/26/09 8:32:35 AM

74 Which graph represents a linear relationship?

F

G

H

J

75 Patrick recorded the grades he received on tests compared with the number of hours he slept the night before the tests.

What does the scatter plot imply about the relationship between his tests scores and the number of hours he slept the night before the test?

A Patrick’s grades are going down.B Patrick will never sleep for more

than nine hours.C Getting higher grades will cause

Patrick to sleep for more hours.D Patrick’s lower grades tend to

follow where he sleep for less hours.

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