Practice Test Student Answer Document

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1 Practice Test Student Answer Document Record your answers by coloring in the appropriate bubble for the best answer to each question Mastering the EOI, Algebra I 35

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3 Practice Test 1 The table below lists the total population and population density of 6 U.S. states. Population and Population Density State Population Population Density (per sq mi) Alaska 648, California 33,871, Montana 902, New Mexico 1,819, Oklahoma 3,450, Which of these graphs represents the solution of x - 3 > 2 or 3x + 3 6? F G H J 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. 3 (4t - 2) - (3t + 4) - (t - 8) What is the simplified form of this expression? A 3t + 10 C 14 B 8t - 6 D 2 4 x y 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 = 3x G y = 3x - 6 H y = -3x + 6 J y = 3x + 18 Mastering the EOI, Algebra I 37

4 What is the area of the rectangle? A 10x 2 - x - 2 B 10x 2-2 C 10x 2 + 9x - 2 D 10x 2 + x The profit (P) in dollars that a bakery makes when producing x loaves of bread is given by the equation P = 45x For what value of x is the bakery s profit equal to 0? F 0 G 1 H 4 J 5 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 G 4 _ 7 H 7_ 10 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 2 D 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 1_ 3 V B _ h C _ 3h V D _ 3V h 38 Mastering the EOI, Algebra I

5 10 Which expression is the factored equivalent of 4x 2-5x + 1? F (4x + 1) (x + 1) G (4x - 1) (x - 1) H (4x + 1) (x - 1) J (2x - 1) (2x - 1) 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} 11 The stem-and-leaf graph shows the daily high temperatures for Piedmont, Oklahoma for the first half of April Stem Leaf Key 7 2 = 72 Which of these is not an advantage of presenting the data in a stem-andleaf 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. 13 Which inequality is represented by this number line? A x 2 0 C x B x 2 0 D x Look at the scatter plot below. Which equation represents the line of best fit for this scatter plot? F y = x + 4 G y = x + 2 H y = 2x + 2 J y = 2x + 4 Mastering the EOI, Algebra I 39

6 15 f(x) = x 2-7x What is the value of f(9)? A -45 B -6 C 16 D Which equation represents a line that is perpendicular to the graphed line? F y = -4x + 1 G y = 4x + 1 H y = - 1 _ 4 x + 1 J y = 1 _ 4 x What is the solution to the graphed system of equations? A (0, 0) C (-1, 1) B (1, -1) D (0, 3) 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 Mastering the EOI, Algebra I

7 19 The sum of two numbers is 46. Their difference is 14. What is the product of the two numbers? A 840 B 644 C 480 D 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 + 4 J y = -3x n = 6n + 5 Which 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. 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 2 h A 113 cubic centimeters B 360 cubic centimeters C 1,130 cubic centimeters D 1,884 cubic centimeters 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. Mastering the EOI, Algebra I 41

8 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 $ G $ H $ J $ y What is the equation of the function shown on the graph? A y = x _ B y = x _ 2-2 C y = 2x + 1 D y = 2x - 2 x 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 2 h F cubic meters G cubic meters H cubic meters J cubic meters 27 Six less than three times a number is two. Which equation represents the previous statement? A 6-3n = 2 B 3n - 6 = 2 C 3 (n - 6) = 2 D 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 H _ G 9 _ 17 J 8_ Mastering the EOI, Algebra I

9 29 Which graph represents the inequality 2x + y > -2? A 30 The table below represents the number of new freshmen enrolled at Oklahoma State University, Stillwater for each of the four school years. Enrollment Year Number of Students 2,377 2,904 3,209 3,485 B Trey determined the best-fit line that models this data is y = x + 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? C D F 3,056 G 2,994 H 2,805 J 2, 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 + 22 C y = 22x D y = 22(x ) Mastering the EOI, Algebra I 43

10 32 Jon starts off with $ in his checking account. He deposits $ 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 H The value of y at point M is 100. J The value of y at point N is y = x + 3 y = -x + 9 What is the y-value of the solution to this system of equations? A 1 C 6 B 3 D 9 34 The equation below represents the cost (y) of a medium pizza with different number of toppings (x). y = x Hope paid $15.00 for a medium pizza. How many toppings were on Hope s pizza? F 4 toppings G 5 toppings H 6 toppings J 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 44 Mastering the EOI, Algebra I

11 36 The table below shows the metropolitan population of Tulsa, Oklahoma. Tulsa Metropolitan Population Year Population , , , , ,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 620,900 G 625,200 H 627,259 J 633, The function f(x) in the table below is linear. x f(x) What is the value of f(7)? A 3 B 7 C 8 D 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 3 G 2 J 4 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. Mastering the EOI, Algebra I 45

12 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 year G the amount of money earned H the rate of interest J the original amount deposited 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 94 B 36 C 26 D 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; 1954 G October; 1955 H November; 1955 J October; Mastering the EOI, Algebra I

13 43 The tables shows the delivery charges by a local appliance store based on the number of miles traveled. Miles Traveled Delivery Service Charges 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. Charge $29.00 $38.00 $47.00 $ in. 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 + 5 y = -x + 3 What is the y-value of the solution to this system of equations? F 1 G 2 H 3 J 4 46 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 0.22 B 0.30 C 0.70 D 0.79 A = πr What is the area of the rectangle? F 2x 2 + 2x - 24 G 2x 2-24 H 2x x - 24 J 2x 2-2x - 24 Mastering the EOI, Algebra I 47

14 47 f (x) = x 2-2x + 1 What is the value of f(3)? A 1 B 4 C 13 D 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 > 30 G 2x - 5 < 30 H 2x J 2x 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 + _ What is the area of the figure? F 6x G 9x x + 25 H 6x x + 25 J 9x Which inequality is represented by this graph? A y 1 _ 2 x + 1 B y 1 _ 2 x + 1 C y 2x + 1 D y 2x Mastering the EOI, Algebra I

15 52 Which expression is the factored equivalent of 3x 2-4x + 1? F (3x -1)(x - 1) H (3x + 1)(x 1) G (3x + 1)(x + 1) J (3x - 1)(x + 1) 55 Which of these number lines represents the solution of A x 2? 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? B C D Weight of Package (in pounds) A y = 0.5x B y = 3.75x C y = x D y = 3x + 2 Shipping and Handling (in dollars) {(-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} 56 Which expression is the factored equivalent of 2x 2 + 5x + 3? F (2x + 3)(x 1) H (2x + 3)(x + 1) G (2x 3)(x 1) J (2x 3)(x + 1) 57 Which of these graphs represents the solution of x + 3-1? A B C D Mastering the EOI, Algebra I 49

16 58 What is the value of the expression -2h + 4hj - 3j (- h) when h = -2 and j = -4? F 46 G 14 H -22 J If f(x) = 10x + 2, which expression represents f(x - 1)? A 10x - 12 B 10x - 8 C 10x + 1 D 10x x y 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 61 What is the value of y - 6 when y = -5? A -11 C 3 B -3 D x y 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} 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 Mastering the EOI, Algebra I

17 64 5_ 2 What is the simplified value of this expression? _ 5 F 2 G _ H 2 5 J 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 minutes G 108 minutes H 156 minutes J 180 minutes 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. 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) = h Allan spent $15.50 at the Oklahoma Sooners baseball game. How many hotdogs did Allan buy? A 9 B 4 C 3 D 1 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 = s 3 F 1,331 cubic inches G 121 cubic inches H 33 cubic inches J 14 cubic inches Mastering the EOI, Algebra I 51

18 69 If f (x) = 3x - 4, which expression represents f (x + 1)? A 3x - 1 B 3x - 3 C 3x -4 D 3x Which graphs shows points that represent nonlinear data? F 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 (F - 32) 9 G F C G 84.1 C H 69.9 C J 34.3 C H 71 The weights and prices of four brands of cat food is shown in this table Weight (pounds) Brand W Which brand has the lowest unit price? A Brand W B Brand X C Brand Y D Brand Z Brand X Brand Y Brand Z Price $5.98 $7.50 $10.25 $15.35 J 52 Mastering the EOI, Algebra I

19 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 Color Blue Red Black Pink Which circle graph correctly displays the results? A Favorite Color C Favorite Color B Favorite Color D Favorite Color Mastering the EOI, Algebra I 53

20 74 Which graph represents a linear relationship? F 75 Patrick recorded the grades he received on tests compared with the number of hours he slept the night before the tests. G H J 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. 54 Mastering the EOI, Algebra I