Name Per. Keystone Exams Practice Test #2. 1.) Order the following numbers from smallest to largest. You may use a calculator. 3, 1 2 3, 3 2, 1.

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1 Name Per Basic Skills Keystone Exams Practice Test #2 1.) Order the following numbers from smallest to largest. You may use a calculator. 3, 1 2 3, 3 2, 1.75, 1,,,, 2.) Robin spent $17 at an amusement park for admission and rides. If she paid $5 for admission, and rides cost $3 each, what is the total number of rides that she went on? 12 B.) 2 C.) 9 D.) 4 3.) The statement a > 2 and a < 5 is true when a is equal to 10 B.) 2 C.) 3 D.) 5 4.) If x varies directly as y, and x = 8 when y = 24, what is the value of x when y = 6? 1 B.) 2 C.) 3 D.) 4 5.) Which property is represented by the identity 1 2 (6a + 4b) = 3a + 2b? Associative B.) Commutative C.) Reflexive D.) Distributive 6.) No calculators! On a map, 1 inch represents 3 miles. How many miles long is a road that is inches on the map? 5 6 B.) C.) D.) ) Andy is 6 feet tall. If 1 inch equals 2.54 centimeters, how tall is Andy, to the nearest centimeter? 15 B.) 30 C.) 183 D.) 213

2 8.) If x represents a given number, the expression 5 less than twice the given number is written as: 5 < 2x B.) 2x 5 C.) 5 < 2 + x D.) 5 2x 9.) Consider the previous problem. What if the expression had read 5 is less than twice the given number. What would the correct answer choice now become? 10.) The statement x 4 and 2x 4< 6 is true when x is equal to 1 B.) 10 C.) 5 D.) 4 11.) The additive inverse of 1 a is: 1 a B.) 0 C.) a D.) a 12.) Which value of a does not satisfy the inequality a > 2a 3? 1 B.) 0 C.) 3 D.) 5 13.) The larger of two consecutive integers is represented by x + 4. Which expression represents the smaller integer? x + 2 B.) x + 3 C.) x + 5 D.) x ) Kathy deposits $25 into an investment account with an annual rate of 5%, compounded annually. The amount in her account can be determined by the formula A = P(1 + r) t, where P is the amount deposited, r is the annual interest rate, and t is the number of years the money is invested. If she makes no other deposits or withdrawals, how much money will be in her account at the end of 15 years? $25.75 B.) $43.75 C.) $51.97 D.) $393.97

3 15.) What is the sum of x 2 3x + 7 and 3x 2 + 5x 9? 4x 2 8x + 2 B.) 4x 2 2x 2 C.) 4x 2 + 2x + 16 D.) 4x 2 + 2x 2 16.) The expression (2x 2 + 6x + 5) (6x 2 + 3x + 5) is equivalent to 4x 2 + 3x B.) 4x 2 3x C.) 4x 2 3x + 10 D.) 4x 2 + 3x ) If 2n + 1 represents an odd integer, the next largest odd integer is represented by 2n + 3 B.) 2n C.) 2n + 2 D.) 2n 1 18.) What is the value of the expression 2x 2 y when x = 2 and y = 3? 48 B.) 48 C.) 24 D.) ) The reciprocal of 5 is: 1 B.) 1 5 c.) 1 5 D.) 5 20.) Given the true statements: " t is a multiple of 3" and " t is even." What could be a value of t? 8 B.) 9 C.) 15 D.) ) Pam is playing with red and black marbles. The number of red marbles she has is three more than twice the number of black marbles she has. She has 42 marbles in all. How many red marbles does Pam have? 13 B.) 15 C.) 29 D.) ) Open Response: Kimberly rides her bicycle from her home to school at an average rate of 12 miles per hour. If it takes her 20 minutes to get to school, how many miles is her home from her school?

4 23.) Open Response: The trip from Manhattan to Montauk Point is 120 miles by train or by car. A train makes the trip in 2 hours, while a car makes the trip in two and a half hours. How much faster, in miles per hour, is the average speed of the train than the average speed of the car? 24.) Open Response: A 14-gram serving of mayonnaise contains 11 grams of fat. What percent of the mayonnaise, to the nearest tenth of a percent, is fat? 25.) Open Response: The Eye Surgery Institute just purchased a new laser machine for $500,000 to use during eye surgery. The Institute must pay the inventor $550 each time the machine is used. If the Institute charges $2,000 for each laser surgery, what is the minimum number of surgeries that must be performed in order for the Institute to make a profit? 26.) Open Response: A circular garden has a diameter of 12 feet. How many bags of topsoil must Linda buy to cover the garden if one bag covers an area of 3 square feet? Assume she can only buy whole bags. [Recall: A = πr 2 ] 27.) In the Ambrose family, the ages of the three children are three consecutive even integers. If the age of the youngest child is represented by x + 3, which expression represents the age of the oldest child? x + 5 B.) x + 6 C.) x + 7 D.) x ) Open Response: Thelma and Laura start a lawn-mowing business and buy a lawnmower for $225. They plan to charge $15 to mow one lawn. What is the minimum number of lawns they need to mow if they wish to earn a profit of at least $750? 29.) Open Response: The accompanying diagram represents a scale drawing of the property where Brendan s business is located. He needs to purchase rock salt to melt the ice on the parking lot (shaded area) around his building. A bag of rock salt covers an area of 1,500 square feet. How many bags of rock salt does Brendan need to purchase to salt the entire parking lot? Assume he can only buy whole bags.

5 30.) Which of the sets below is the solution set to the equation x 2 4x 12 = 0? x = { 6, 2} B.) x = { 4, 3} C.) x = { 2, 6} D.) x = { 3, 4} 31.) If a = 3 and b = 1, what is the value of ab b 2? 2 B.) 2 C.) 4 D.) 4 32.) What is the sum of 3 7n and 7 3n? 1 n B.) 10 21n C.) 42 21n D.) 58 21n 33.) If the product of x and 1 m is 1 (m 0), then x is equivalent to m B.) m C.) 1 m D.) 1 m 34.) The sum of 8x 2 x + 4 and x 5 is: 8x B.) 8x 2 1 C.) 8x 2 2x + 9 D.) 8x 2 2x 1 35.) Which expression represents the product of two consecutive odd integers, where n is an odd integer? n(n + 1) B.) n(n + 2) C.) n(n + 3) D.) 2n ) Open Response: If a United States dollar is worth $1.41 in Canadian money, how much is $100 in Canadian money worth in United States money, to the nearest cent? $ 37.) Open Response: Tracey has two empty cubeshaped containers with sides of 5 inches and 7 inches, as shown in the accompanying diagram. She fills the smaller container completely with water and then pours all the water from the smaller container into the larger container. How deep, to the nearest tenth of an inch, will the water be in the larger container?

6 38.) A planned building was going to be 100 feet long, 75 feet deep and 30 feet high. The owner decides to increase the volume of the building by 10% without changing the dimensions of the depth and the height. What will be the new length of this building? 106 ft. B.) 108 ft. C.) 110 ft. D.) 112 ft. 39.) Mario paid $44.25 in taxi fare from the hotel to the airport. The cab charged $2.25 for the first mile plus $3.50 for each additional mile. How many miles was it from the hotel to the airport? 10 B.) 11 C.) 12 D.) ) Mr. Turner bought x boxes of pencils. Each box holds 25 pencils. He left 3 boxes of pencils at home and took the rest to school. Which expression represents the total number of pencils he took to school? 22x B.) 25x 3 C.) 25 3x D.) 25x ) The Hudson Record Store is having a going-out-of-business sale. CDs normally sell for $ During the first week of the sale, all CDs will sell for $ Estimate the percent of this discount. 83% B.) 20% C.) 80% D.) 17% 42.) Refer to the previous problem. What if this store offered a 25% discount instead? What would the discounted price of the CDs be? $13.50 B.) $4.50 C.) $7.00 D.) $ ) Tom drove 290 miles from his college to home and used 23.2 gallons of gasoline. His sister, Ann, drove 225 miles from her college to home and used 15 gallons of gasoline. Whose vehicle had better gas mileage, and by how much? Tom s, by 13.3 mpg. C.) Tom s, by 2.5 mpg. B.) Ann s, by 13.3 mpg. D.) Ann s, by 2.5 mpg. 44.) Nicole's aerobics class exercises to fast-paced music. If the rate of the music is 120 beats per minute, how many beats would there be in a class that is three quarters of an hour long? 90 B.) 160 C.) 5,400 D.) 7,200

7 45.) Open Response: In a game of ice hockey, the hockey puck took eight-tenths of a second to travel 89 feet to the goal line. Determine the average (mean) speed of the puck in feet per second: Linear Equations 46.) What is the value of x in the equation 5 3x = 7? 2 3 B.) 2 3 C.) 4 D.) 4 47.) What is the value of w in the equation 0.04w = 2.4? B.) 0.45 C.) 4.5 D.) ) Open Response: Find the value of x in the equation 5(x 2) = 2(10 + x) x = check: = 49.) Open Response: Find the value of x in the equation 6(x 2) = 36 10x x = check: = 50.) Open Response: If 3(x + 2) 2(x + 1) = 8, find the value of x x = check: = 51.) Open Response: What is the value of p in the equation 8p + 2 = 4p 10? p = check: = 52.) Open Response: Find the value of w in the equation 1 w + 7 = 2w 2 2 w = check: =

8 53.) Open Response: In the equation 1 4 n + 5 = 5 1 2, what is the value of n? n = check: = 54.) Open Response: What is the value of n in the equation 3n 8 = 32 n? n = check: = 55.) If c = 2m + d, then m is equal to C.) c d B.) c d 2 2 c d D.) d 2c 2 56.) Open Response: Every month, Omar buys pizzas to serve at a party for his friends. In May, he bought three more than twice the number of pizzas he bought in April. If Omar bought 15 pizzas in May, how many pizzas did he buy in April? 57.) Sam and Odel have been selling frozen pizzas for a class fundraiser. Sam has sold half as many pizzas as Odel. Together they have sold a total of 126 pizzas. How many pizzas did Sam sell? 21 B.) 42 C.) 63 D.) ) The formula for potential energy is P = mgh, where P is potential energy, m is mass, g is gravity, and h is height. Which expression can be used to represent g? P m h B.) P mh C.) P m h D.) P mh 59.) Which equation below is equivalent to 3x + 4y = 15? y = 3 x B.) y = 3 x C.) y = 15 3x D.) y = 3x 15

9 Linear Inequalities 60.) Peter begins his kindergarten year able to spell 10 words. He is going to learn to spell 2 new words every day. Which of the inequalities below can be used to determine how many days, d it takes Peter to be able to spell at least 75 words? 10d B.) 2d C.) 10d D.) 2d ) Maureen tracks the range of outdoor temperatures over three days. She records her data on the number lines to the right: Let T = the temperature. Which inequality below would be true at all times during these three days? 23 T 50 B.) 0 T 50 C.) 23 T 40 D.) 0 T ) Mrs. Smith wrote eight less than three times a number is greater than fifteen on the board. If x represents that number, which inequality is a correct translation of this statement? 3x 8 > 15 B.) 3x 8 < 15 C.) 8 3x > 15 D.) 8 3x < ) Which value of x is in the solution set of the inequality 2 4x > 10? 2 B.) 2 C.) 3 D.) 4 Graphing 64.) Which inequality is shown in the accompanying diagram? y > 3 2 x + 2 B.) y 3 2 x + 2 C.) y < 3 2 x + 2 D.) y 3 2 x + 2

10 65.) Segment RS what is the value of x? is parallel to segment TU. If the slope of RS = 5 8 and the slope of TU = x 24, 20 B.) 15 C.) 10 D.) 5 66.) Open Response: Write an equation of a line that is perpendicular to the line y = 2 x + 5 and 3 passes through the point (0, 4) : y = 67.) Which equation represents a line that is parallel to the line y = 4x + 5? y = 4x + 3 B.) y = 1 x + 5 C.) y = 1 x + 3 D.) y = 4x ) What is the slope of the line that passes through the points ( 6, 1) and (4, 4 )? 2 B.) 2 C.) 1 2 D.) ) Which equation represents a line parallel to the x-axis? x = 5 B.) y = 10 C.) y = 1 x + 0 D.) y = 5x ) The graph of the equation 2x + 6y = 4 passes through the point (x, 2 ). What is the value of x? 4 B.) 8 C.) 16 D.) 4 71.) Which statement describes the relationship between the lines whose equations are y = 1 x and 6y = 2x + 6? They are segments C.) They intersect, but are not perpendicular B.) They are perpendicular D.) They are parallel

11 72.) Line segment AB has a slope of 3 4. If the coordinates of point A are (2, 5) the coordinates of point B could be (6, 8) B.) (5, 9) C.) ( 1, 1) D.) (6, 2) 73.) The gas tank in a car holds a total of 16 gallons of gas. The car travels 75 miles on 4 gallons of gas. If the gas tank is full at the beginning of a trip, which graph represents the rate of change in the amount of gas in the tank? B.) C.) D.) 74.) In a linear equation, the independent variable increases at a constant rate while the dependent variable decreases at a constant rate. The slope of this line is zero B.) negative C.) positive D.) undefined

12 75.) Super Painters charges $1.00 per square foot plus an additional fee of $25.00 to paint a living room. If x represents the area of the walls of Francesca s living room, in square feet, and y represents the cost, in dollars, which of the graphs below best represents the cost of painting her living room? B.) C.) D.) 76.) On the accompanying graph, draw a line with a slope of 2 3 and a y-intercept of 2. Properly label the axes. Functions 77.) What value of x is not in the domain of the function f(x) = 6 x x+2? 2 B.) 0 C.) 2 D.) 6 78.) If f(x) = x and g(x) = 1 x, what is the value of f[g( 3)]?. Consider only positive roots. 2i 3 B.) 2 C.) 8 D.) 13

13 1 79.) Which value of x is not in the domain of f(x) = 27 x 3? 1 B.) 3 C.) 0 D.) 3 80.) The accompanying graph shows the elevation of a certain region in New York State as a function of a hiker s distance traveled along a trail. What is the domain of this function? 1,000 x 1,500 B.) 1,000 y 1,500 C.) 0 x 12 D.) 0 y ) Which of the following relations is a function? x 2 + y 2 = 16 B.) 2x 2 + 6y 2 = 1 C.) y 2 = x 2 + 3x 4 D.) y = x 2 + 3x 4 82.) What value of x is not in the domain of the function f(x) = x+4 x 3? 4 B.) 3 C.) 0 D.) 3 Data and Probability 83.) The stem-and-leaf plot to the right represents Ben s test scores for the year. What is the median of this set of data? 73 B.) 79 C.) 80 D.) ) The accompanying table represents the number of cell phone minutes used for one week by 23 users. Which interval contains the median? B.) C.) D.) 71 80

14 85.) When a fair coin was tossed ten times, it landed heads up the first seven times. What is the probability that on the eighth toss the coin will land with tails up? 3 10 B.) 7 10 C.) 1 2 D.) ) The circle graph to the right shows how Joan invested her money. If she invested a total of $12,000, how much money did she invest in CDs? $1,560 B.) $15,600 C.) $9,230 D.) $92, ) An expression equivalent to 3! is: 3 3 B.) C.) D.) 3 88.) A box contains 6 dimes, 8 nickels, 12 pennies, and 3 quarters. What is the probability that a coin drawn at random is NOT a dime? 6 29 B.) 8 29 C.) D.) ) Integration: Which event has a probability of zero? choosing a letter from the alphabet that has line symmetry B.) choosing a number that is greater than 6 and is even C.) choosing a pair of parallel lines that have unequal slopes D.) choosing a triangle that is both isosceles and right 90.) A school newspaper took a survey of 100 students. The results of the survey showed that 43 students are fans of the Buffalo Bills, 27 students are fans of the New York Jets, and 48 students do not like either team. How many of the students surveyed are fans of both the Buffalo Bills and the New York Jets? 16 B.) 18 C.) 52 D.) 70

15 91.) At an all-county music competition, 150 students participated. If 90 students sang in the chorus and 90 played in the band, how many students both sang in the chorus and played in the band? 0 B.) 30 C.) 60 D.) ) Open Response: José surveyed 20 of his friends to find out what equipment they use to play recorded movies. He found that 12 of his friends have only DVD players, 5 have both DVD players and VCRs, and 2 have neither type of player. The rest of his friends have only VCRs. What is the total number of his friends that have VCRs? 93.) What is the total number of different seven-letter arrangements that can be formed using the letters in the word MILLION? 30 B.) 210 C.) 1,260 D.) 2, ) At a department store, there are six ways to enter the building, six ways to get from the first floor to the second floor, and four ways to get from the second floor to the third floor. In how many different ways could someone enter the building and go to the third floor? 16 B.) 24 C.) 120 D.) ) The probability that Jinelle s bus is on time is 2 3 and the probability that Mr. Corney is driving her bus is 4. What is the probability that on any given day Jinelle s bus is on time and Mr. Corney is the 5 driver? Assume the two events are independent B.) 8 15 C.) D.) ) A six-sided number cube has faces with the numbers 1 through 6 marked on it. What is the probability that a number less than 3 will occur on one toss of the number cube? 1 6 B.) 1 3 C.) 1 2 D.) 2 3

16 97.) Open Response: As captain of his football team, Jamal gets to call heads or tails for the toss of a fair coin at the beginning of each game. At the last three games, the coin has landed with heads up. What is the probability that the coin will land with heads up at the next game? Explain your answer:. 98.) Jen and Barry s ice cream stand has three types of cones, six flavors of ice cream, and four kinds of sprinkles. If a serving consists of a cone, one flavor of ice cream, and one kind of sprinkles, how many different servings are possible? 90 B.) 72 C.) C 13 3 D.) P ) Max goes through the cafeteria line and counts seven different meals and three different desserts that he can choose. Which expression can be used to determine how many different ways Max can choose a meal and a dessert? 7 3 B.) 7! 3! C.) C 7 3 D.) P ) Open Response: Angelo, Brandon, and Carl work in the same office. Angelo s age is 4 years more than twice Carl s age. Brandon is 5 years younger than Carl. The average (mean) of the three ages is 41. Find the age of each of the men: Angelo: Brandon: Carl: 101.) Open Response: Samuel is buying a new car. He wants either a convertible or a hatchback. Both types of cars are available in red, white, or blue and with automatic or standard transmission. What is the size of his sample space of car choices? 102.) Open Response: In his first three years coaching baseball at High Ridge High School, Coach Batty s team won 7 games the first year, 16 games the second year, and 4 games the third year. How many games does the team need to win in the fourth year so that the coach s average (mean) will be 10 wins per year?

17 103.) Which expression represents the number of different 8-letter arrangements that can be made from the letters of the word SAVANNAH if each letter is used only once? 8! 5! B.) 8! 2! 3! C.) P 8 5 D.) 8! 104.) Seth tossed a fair coin five times and got five heads. The probability that the next toss will be a tail is 0 B.) 1 6 C.) 5 6 D.) ) The expression C 8 3 is equivalent to 8 C 5 B.) 8 P 3 C.) 8! 3! D.) P ) Open Response: Kimberly has three pair of pants: one black, one red, and one tan. She also has four shirts: one pink, one white, one yellow, and one green. If an outfit consists of one pair of pants and one shirt, how many different outfits can Kimberly wear? 107.) If the Math Olympiad Club consists of eighteen students, how many different teams of four students can be formed for competitions? 66 B.) 72 C.) 3,060 D.) 73, ) The bowling team at Lincoln High School must choose a president, vice president, and secretary. If the team has 10 members, which expression could be used to determine the number of ways the officers could be chosen? 3 P 10 B.) 7 P 3 C.) 10P3 D.) 10P7 109.) Which statement is true about the data set {3, 4, 5, 6, 7, 7, 10}? mean = mode B.) mean > mode C.) mean = median D.) mean<median

18 110.) There is a negative correlation between the number of hours a student watches television and his or her social studies test score. Which scatter plot below displays this correlation? B.) C.) D.) 111.) Recognize a Pattern: The population growth of Boomtown is shown in the accompanying graph. If the trend in the graph continues, what will the population be in the year 2020? 20,000 B.) 32,000 C.) 40,000 D.) 64, ) Integration: Which equation below best models the population growth in Boomtown? Let P = population (in thousands) and t = years after P = 2 2 t C.) P = 2 t 2 B.) P = 2 2 (t/10) D.) P = 2 10 (t/2) 113.) Integration: Use the equation you found in the previous problem to predict the population of Boomtown in Write your answer here:

19 114.) The prices of seven race cars sold last week are listed in the table to the right. Use this data to answer the following questions. Round to the nearest cent if necessary: a.) What was the mean price of these race cars? $ b.) What was the median price of these race cars? $ c.) What was the mode or modes, if any, of these prices? 115.) A spinner is divided into eight equal regions as shown in the diagram to the right. Which event is most likely to occur in one spin? The arrow will land in a green or white area. B.) The arrow will land in a green or black area. C.) The arrow will land in a yellow or black area. D.) The arrow will land in a yellow or green area. 116.) A school wants to add a co-ed soccer program. To determine student interest in the program, a survey will be taken. In order to get an unbiased sample, which group should the school survey? Every third student entering the building C.) Every member in Ms. Zimmer s drama classes B.) Every member of the varsity football team D.) Every student having a second-period French class 117.) John is going to line up his four golf trophies on a shelf in his bedroom. How many different possible arrangements can he make? 24 B.) 16 C.) 10 D.) ) What is the value of the third quartile boundary ( Q 3 ) as shown on the box-and-whisker plot to the right? 6 B.) 8.5 C.) 10 D.) 12

20 119.) Which equation most closely represents the line of best fit for the scatter plot to the right? y = x B.) y = 2 3 x + 1 C.) y = 3 2 x + 4 D.) y = 3 2 x + 1 Properties of Powers 120.) What are the factors of x 2 5x + 6? (x + 2) and (x + 3) B.) (x + 6) and (x 1) C.) (x 2) and (x 3) D.) (x 6) and (x + 1) 121.) The expression to the right is equivalent to: ( x, y 0 ) 2x y B.) 2xy C.) 2y x D.) 2xy 122.) Simplify: The expression 32x 8 4x2 is equivalent to: ( x 0 ) 8x 4 B.) 8x 4 C.) 8x 6 D.) 8x ) Which expression represents the polynomial fraction 2x 2 12x x 6 ( x 6 ) in simplest form? 0 B.) 2x C.) 4x D.) 2x ) The expression (3c) 2 is equivalent to: ( c 0 ) 6c 2 B.) 1 9c 2 C.) 1 3c 2 D.) 3 c 2

21 125.) What is the product of 2r 2 5 and 3r? 6r 3 15r B.) 6r 2 15r C.) 6r 3 15 D.) 6r ) What is the product of (c + 8) and (c 5)? c 2 + 3c 40 B.) c 2 3c 40 C.) c c 40 D.) c ) What is the product of 3x 2 y and (5xy 2 + xy)? 15x 3 y 3 3x 3 y 2 B.) 15x 3 y 3 3x 3 y C.) 15x 2 y 2 3x 2 y D.) 15x 3 y 3 + xy 128.) Factored, the expression 16x 2 25y 2 is equivalent to (4x 5y)(4x + 5y) C.) (8x 5y)(8x + 5y) B.) (4x 5y)(4x 5y) D.) (8x 5y)(8x 5y) 129.) No calculators: The expression 28 7 is equivalent to: 7 B.) 2 7 C.) 3 7 D.) ) No calculators: What expression is equivalent to 7 90? B.) C.) D.) ) No calculators: The expression 54 b evaluates to a positive integer when b has which value? 10 B.) 16 C.) 54 D.) ) No calculators: The expression is equivalent to 91 B.) 5 7 C.) 6 7 D.) 13 7

22 133.) No calculators: Which point on the number line below best represents the position of 5? 134.) No calculators: The sum of 50 and 8 is 58 B.) 7 2 C.) 9 2 D.) ) No calculators: If t < t, then t could be: 0 B.) 1/2 C.) 2 D.) ) No calculators: The expression ( 3 4 )2 ( 1 4 ) 2 is equivalent to: 9 16 B.) 3 C.) D.) ) No calculators: What is half of 2 6? 1 3 B.) 1 5 C.) 2 3 D.) ) No calculators: What is 32 4 expressed in simplest radical form? 2 B.) 4 2 C.) 8 D.) ) Open Response: The perimeter of a square is 56. Express the length of a diagonal of this square in simplest radical form (simplified root form):

23 140.) Express the polynomial to the right in simplest form. ( x 0, 8 ) x 3 x B.) x+3 x C.) 1x+3 x D.) It is already simplified 141.) The value of 85 is between what two integers? 9 and 10 B.) 8 and 9 C.) 7 and 8 D.) 6 and ) Factored completely, the expression 2x x 12 is equivalent to: 2(x 6)(x + 1) B.) 2(x + 6)(x 1) C.) 2(x + 2)(x + 3) D.) 2(x 2)(x 3) 143.) When 3g 2 4g + 2 is subtracted from 7g 2 + 5g 1, the difference is: 4g 2 9g + 3 B.) 4g 2 + g + 1 C.) 4g 2 + 9g 3 D.) 10g 2 + g ) Which expression represents 25x 125 x 2 25 in its simplest form? 5 x B.) 25 x 5 C.) 5 x D.) 25 x+5 Applications of Powers 145.) Open Response: List the solutions to the equation 4x 2 36 = 0, then check your work. x = {, } check: = 146.) Open Response: List the solutions to the equation x 2 4 = 9, then check your work. x = {, } check: =

24 147.) Expressed in scientific notation, the number 4,600,000,000 is B.) C.) D.) ) If the length of a side of a cube is 7x, which expression represents the cube s volume? 7x 3 B.) 49x 3 C.) 343x D.) 343x ) The video of the movie Star Wars earned $193,500,000 in rental fees during its first year. Expressed in scientific notation, the number of dollars earned is: B.) C.) D.) ) According to the 2000 census, the population of New York State was approximately 18,900,000. How is this number expressed in scientific notation? B.) C.) D.) ) In 1995, the federal government paid off one-third of its debt. If the original amount of the debt was $4,920,000,000,000, which expression represents the amount that was NOT paid off? B.) C.) D.) ) Kathy plans to purchase a car that depreciates (loses value) at a rate of 14% per year. The initial cost of the car is $21,000. Which equation represents the value, V, of the car after 3 years? V = 21,000(0.14) 3 B.) V = 21,000(0.86) 3 C.) V = 21,000(1.14) 3 D.) V = 21,000(0.86) (3) Systems 153.) If x + y = 10 and x y = 2, what is the value of x? 6 B.) 6 C.) 4 D.) 4

25 154.) Which ordered pair satisfies the system of equations to the right? (3, 1 ) B.) (2.5, 0.5) C.) (2.5, 0.5) D.) ( 5, 3 ) 155.) If a + 3b = 13 and a + b = 5, the value of b is 1 B.) 7 C.) 3.5 D.) ) Jack bought 3 slices of cheese pizza and 4 slices of mushroom pizza for a total cost of $ Grace bought 3 slices of cheese pizza and 2 slices of mushroom pizza for a total cost of $8.50. What is the cost of one slice of mushroom pizza? $1.50 B.) $2.00 C.) $3.00 D.) $3.50 Geometric Reasoning 157.) Open Response: A designer created the logo shown to the right. The logo consists of a square and four quarter-circles of equal size. Express, in terms of π, the exact area of the shaded region: A = 158.) Luis is going to paint a basketball court on his driveway, as shown in the diagram to the right. This basketball court consists of a rectangle and a semicircle. Which expression represents the area of this basketball court, in ft 2? 80 C.) π B.) π D.) π 159.) Open Response: A rectangle has an area of 24 square units. The width is 5 units less than the length. What is the length, in units, of the rectangle? Keystone Exams Practice Test #2 1.) 1, 1.5, 1 2, 3, ) D 3.) C 4.) B

26 5.) D 6.) D 7.) C 8.) B 9.) A 10.) D 11.) A 12.) C 13.) B 14.) C 15.) D 16.) B 17.) A 18.) D 19.) B 20.) D 21.) C 22.) 4 miles 23.) 12 mph 32.) D 33.) B 34.) B 35.) B 36.) USD: $ ) 2.6 in. 38.) 110 ft. 39.) D 40.) D 41.) D 42.) A 43.) D 44.) C 45.) ft./sec. 46.) D 47.) D 48.) x = 10; 40 = ) x = 3; 6 = 6 50.) x = 4; 8 = 8 24.) 78.6% 25.) 345 surgeries 26.) 38 bags 27.) C 28.) 65 lawns 29.) 4 bags 30.) C 31.) C 51.) p = 3; 22 = ) w = 6; 10 = ) n = 2; 5.5 = ) n = 10; 22 = ) A 56.) 6 pizzas 57.) B

27 58.) D 59.) A 60.) B 61.) A 62.) A 63.) D 64.) A 65.) B 66.) y = 3 x ) A 68.) C 69.) B 70.) B 71.) D 72.) A 73.) C 74.) B 75.) B 79.) B 80.) C 81.) D 82.) D 83.) C 84.) C 85.) C 86.) A 87.) B 88.) D 89.) C 90.) B 91.) B 92.) 6 friends 93.) C 94.) D 95.) B 96.) B 76.) 97.) 1/2; The next toss is independent of all the previous tosses. Since the coin is fair, P = 1/2. 98.) B 99.) A 100.) Angelo: 66 Brandon: 26 Carl: ) A 78.) C 101.) 12 outcomes 102.) 13 games

28 103.) B 104.) D 105.) A 106.) 12 outfits 107.) C 108.) C 109.) C 110.) D 111.) B 112.) B 113.) 45, a.) $315, b.) $180, c.) $140,000 and $400, ) D 116.) A 117.) A 118.) C 128.) A 129.) A 130.) C 131.) A 132.) B 133.) C 134.) B 135.) B 136.) D 137.) D 138.) A 139.) ) B 141.) A 142.) B 143.) C 144.) D 145.) x = { 3, 3}, 0 = ) D 120.) C 121.) A 122.) D 123.) B 124.) B 125.) A 126.) A 127.) A 146.) x = { 6, 6}, 9 = ) C 148.) D 149.) D 150.) C 151.) D 152.) B 153.) B

29 154.) C 155.) D 156.) B 157.) 36 9π 158.) B 159.) 8 units