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STUDENT NAME _________________________________________ (4 Hour Time Limit)CALCULATOR USAGE PERMITTED2011-2012The height, h, of a football when kicked with respect to time, t, is described by the function h = -16t2 + 48t. Which graph shows the correct sketch of this function?Walker is taking a strength-training class. He hopes to increase the number of pounds that he can lift by 25% in 6 weeks. If x represents the number of pounds Walker was able to lift at the time he started the class, which expression best represents the number of pounds he wants to be able to lift in 6 weeks?6x+0.25xx+0.25x6(x+0.25x)x+25xWhich equation represents the line that passes through the points (?1, 4) and (3, 2)?y = - 12x + 72y = 12x + 92y = - 2x + 7y = - 2x + 3At a pet store the total cost of 8 pounds of Brand X dog food and 1 pound of Brand Y dog food is $8.40, including tax. The total cost of 16 pounds of Brand X dog food and 8 pounds of Brand Y dog food is $24.00, including tax. What is the price per pound of Brand Y dog food in dollars and cents?$0.90$1.20$2.60$4.08What is the domain of the function graphed below?0<x≤52<x≤50<x≤40<x<2Which values of x make the equation true?x2+x-12=0-6 and 2-4 and 3-3 and 4-2 and 6Which graph best represents the inequality y≥x2-4?The sum of the perimeters of two different squares is 32 centimeters, and the difference between their perimeters is 8 centimeters. If x represents the side length of the larger square and y represents the side length of the smaller square, which of the following system of equations could be used to find the dimensions of the squares?x+y=32x-y=84x+4y=324x-4y=82x+2y=322y-2x=84x+2y=324x-2y=8Which situation is best represented by the function f(x), where f(x) = 12x + 5?An office-supply store sells x boxes of ballpoint pens that contain a dozen pens per box for $5 each.An Olympic swimmer trains by swimming 12 kilometers on each of x weekdays and 5 kilometers on each day of the weekend.An algebra quiz has x problems worth 12 points each plus 5 extra-credit problems worth 5 points each.A company sells x baseball caps for $12 each and charges a $5 shipping fee.Which of the following best represents the range of the function shown below?The range is all real numbers.The range is all real numbers greater than or equal to 4.The range is all real numbers greater than or equal to 0The range is all real numbers greater than or equal to -4The algebraic form of a linear function is d=14l, where d is the distance in miles and l is the number of laps. Which of the following choices identifies the same linear function?For every 4 laps on the track, an athlete runs 1 mile.For every lap on the track, an athlete runs 18 mileCDA waitress at a local restaurant earns $3.25 per hour plus tips. In two weeks she earned a total of $720, including $531.50 in tips. How many hours did the waitress work during this 2-week period?58 h82 h94 h111 hThe graph in the coordinate grid below shows the relationship between the cost of movie tickets and the average number sold per day.Which equation describes the relationship between x, the cost in dollars per ticket, and y, the average number of tickets sold per day?y=200xy=2,400xy=200xy=2,400xWhich of the following mappings best represents the function f(x) = - x2+ 3?ABCDThe scatterplot below shows the gas mileage and weight of different vehicles.Which of the following is the best interpretation of this scatterplot?As the weight of the vehicle increases, the gas mileage stays the same.Vehicles that weigh the least seem to have higher gas mileage.Vehicles that weigh the most seem to have higher gas mileage.As the weight of the vehicle decreases, the gas mileage stays the same.Kelly will enclose her rectangular tomato garden with 32 feet of fencing material. She wants the length of the garden to be at least three times the width. What is the minimum length that will meet Kelly’s conditions?24 ft12 ft8 ft4 ftThe table below shows various values for x and y.Which equation best describes the relationship between x and y?y=-3x+5y=-5x-7y=-x+17y=3x+41The ordered pairs in the table are contained in the graph of a linear function.What are the x- and y-intercepts of the graph of this linear function?x-intercept: 2, 0y-intercept: 0, -3x-intercept: 0, -3y-intercept: -2, 0x-intercept: 0, 2y-intercept: -3, 0x-intercept: -3, 0y-intercept: 0, -2For what value of x is (x, -3) a solution for 4x - 3y = 21? Record your answer and fill in the bubbles on the griddable below. Be sure to use the correct place value. Do NOT bubble an answer for #19 on your answer document.In the United States, currency is removed from circulation when it wears out. The scatterplot shows the average life span of different denominations of U.S. currency according to the U.S. Federal Reserve System.Which is a correct conclusion based on the data in this scatterplot?The data represent a linear function.The independent variable is the average life span.The bills of smaller denomination have a longer life span.The average life span of a bill depends on its denomination.Southern Phone company is promoting a new cell phone service plan: a customer can make up to 500 minutes of calls each month for $39.99. If the number of minutes used in a month exceeds 500, then the functionc=0.40m-500+39.99describes the monthly charge, c, in dollars in terms of m, the total number of minutes used. Which of the following statements best describes this function?If the total number of minutes used is more than 500, every minute beyond 500 costs 40 cents.Every minute used costs 40 cents, regardless of the total number of minutes used.The first 500 minutes used cost 40 cents each, after there is an additional charge of $39.99.If the total number of minutes used is more than 500, then every minute used costs 40 cents.Nadia used identical square tiles to design the four figures shown below.Which expression can be used to determine the number of square tiles used in each figure if n represents the number assigned to the figure?3nn2+22n+1n+2The graph of a quadratic function is shown below.Which statement about this graph is not true?The graph has a y-intercept at (0, 8).The graph has a maximum point at (-1, 9).The graph has an x-intercept at (2, 0).The graph has the y-axis as the line of symmetry.What is the range of the function when fx=13x-1 when the domain is -6, 3, 9?-7, 2, 8-6, 3, 9-4, 2, 3-3, 0, 2In the quadratic equation x2-x+c=0, c represents an unknown constant. If x=-3 is one of the solutions to this equation, what is the value of c?Record your answer and fill in the bubbles on the griddable below. Be sure to use the correct place value. Do NOT bubble an answer for #25 on your answer document.A small business purchased a van to handle its delivery orders. The graph below shows the value of this van over a period of time.Which of the following best describes this situation?The van was purchased for $1,600.The van decreases in value by $1,600 per year.The van increases in value by $1,600 pear year.The van has no value after 5 years.Last year 4 local bands played at Beach High School’s spring break concert. Each band was paid $100, and the remaining $2,725 in ticket sales went to the school’s recreation fund. If 6 bands will have to be paid $100 each this year and tickets are still $5 each, how many tickets will have to be sold this year in order to raise the same amount of money as last year for the school’s recreation fund?Record your answer and fill in the bubbles on the griddable below. Be sure to use the correct place value. Do NOT bubble an answer for #27 on your answer document.The graph below represents Cheyenne’s bicycle trip from her house to a friend’s house.On which segment of the graph does it appear that Cheyenne was riding her bicycle at the slowest pace?rstuIf y varies directly with x, and y=168 when x=12, what is the constant of variation?Record your answer and fill in the bubbles on the griddable below. Be sure to use the correct place value. Do NOT bubble an answer for #29 on your answer document.A rectangle has a length of 2x + 1 and a width of 5x - 4. Which expression best describes the area of the rectangle?7x-314x-610x2-3x-410x2+13x-4The graph of a quadratic function is shown below.What is the best estimate of the positive value of x for which this function equals 8?24137Joan went to a department store to buy a sweater that was on sale for 25% off the original price, p. Which equation can be used to determine s, the sale price of the sweater, not including tax?s=p+0.75ps=p+0.25ps=p-0.75ps=p-0.25pAn economist uses the expression 2x4y3z-13yz2 to related the inflation rate, x; the unemployment rate y; and the interest rate, z. What is the simplified form of this expression?2x4y3z32x4y43z32x4y23z32x4z33y2Some values for two linear equations are shown in the tables below.What is the solution to the systems of equations represented by these tables?(2, 3)(3, 5)(-1, 1)(5, 11)The sales tax rate at a clothing store is 8.75%. Sales tax on an item is a function of its price. Which of the following is the dependent quantity in this function?The sales tax rate on the itemThe item’s priceThe amount of sales tax on the itemThe item’s sizeA car rental agency charges a fee of $25 per day to rent a compact car plus $0.15 per mile driven. If the car is driven x miles in 1 day, the equation y = 0.15x + 25 can be used to find the total charges for a 1-day compact-car rental. If the rental agency reduces the fee for renting a compact car by 5% and increases the rate per mile driven by $0.05, which equation can be used to determine the new cost of renting a compact car for 1 day and driving x miles?y=0.10x+26.25y=0.20x+26.25y=0.10x+23.75y=0.20x+23.75The graph of a line is shown below.If the slope of this line is multiplied by ?1 and the y-intercept decreases by 2 units, which linear equation represents these changes?y=-2x+1y=-x+1y=-x-1y=-12x-1Which of the following is not a correct description of the graph of the function y=-2x-7?The graph of the function contains the point (-2, -3) and when the value of the x increases by 1 unit, the value of the y decreases by 2 units.The graph of the function contains the points (-1, -5), (2, -11), and (4, -15).The graph of the function is a line that passes through the point (0, -7) with a slope of -2.The graph of the function contains the points (0, -7), (1, -9),and (3, -1).A population of 1500 deer decreases by 1.5% per year. At the end of 10 years, there will be approximately 1290 deer in the population. Which function can be used to determine the number of deer, y, in this population at the end of t years?y=1500(1-0.015)ty=1500(0.015)t y=1500(1+0.015)ty=1500(1.5)tIf a rectangular poster has an area of (2x2 - 9x + 10) square units, which of the following could describe the dimensions of the poster?2x-2 units by (x-5) units2x-10 units by (x+1) units2x-5 units by (x-2) units2x-1 units by (x-10) unitsWhat is the x-coordinate of the solution to the system of linear equations below?4x+5y=82x-3y=-18Record your answer and fill in the bubbles on the griddable below. Be sure to use the correct place value. Do NOT bubble an answer for #41 on your answer document.Which of the following relations is a function?I. (0, 0), 0, 1, (0, 2)II. (0, 0), 1, 1, (2, 4)III. (0, 0), 1, 2, (2, 2)IV. (0, 0), 1, 2, (1, 3)I, II and III onlyI and II onlyII and III onlyIII and IV onlyIf (2k, k) and (3k, 4k) are two points on the graph of a line and k is not equal to 0, what is the slope of the line?33k13Not hereSimplify the algebraic expression show below.-28x-3y-5x+y+6y-3(3y-4x)2x-5y6x-5y 23x-14y -3y Which graph below represents the parent function of a quadratic function?If the graph of a function of the form y=ax2+c has the vertex located above the origin and opens downward, which of the following must be true of the values of a and c?a<0 and c>0a>0 and c>0a<0 and c<0a>0 and c<0Josh earns money by washing cars in his neighborhood. He spent $215 on supplies and charges $15 for each car washed. Josh’s profit, p, can be represented by the function p = 15n - 215, where n represents the number of cars that Josh washes. What is the minimum number of cars Josh must wash to make a profit?142915not hereWhich lists the functions of the form y = ax2 in order from the narrowest to the widest graph?y=-47x2, y=65x2, y=34x2, y=-2x2y=-2x2, y=65x2, y=34x2, y=-47x2y=65x2, y=34x2, y=-47x2, y=-2x2y=-47x2, y=-2x2, y=65x2, y=34x2The Alejo family budgeted $2000 for their vacation. Their budget consisted of $800 for travel costs and $75 per day for other expenses. Which inequality represents the number of days, x, the family could have stayed on vacation?800+75x≤2000800+75x≥2000800x-75≥2000800-75x≤2000Which situation best describes the graph shown below?There are 15 members in the math club, and each one contributes $5.The current value of a certain baseball card is $15, and the value increases each year by 5%.A store charges $15 to rent a DVD player plus $5 for each DVD movie rented.Jocelyn is 15 miles from home and jogs back home at a rate of 5 miles per hourThe amount an appliance repairman charges for each job is represented by the function t=50h+35, where h represents the number of hours he spent on the job and t represents the total amount he charges in dollars for the job. The repairman plans to change the amount he charges for each job. The amount he plans to charge is represented by the function t=50h+45. What will be the effect of this change on the amount he charges for each job?The total amount he charges for each job will increase by $10.The total amount he charges for each job will decrease by $10.The amount he charges per hour will increase by $10.The amount he charges per hour will decrease by $10.Which best describes the effect on the x-intercept of the graph of fx=34x-3 if the slope is changed to -34?The x-intercept remains the same, and then new line is translated upwardThe x-intercept becomes negative, and the new line is parallel to the original line.The x-intercept remains the same, and the new line is translated downward.The x-intercept becomes negative, and the new line intersects the original line.Solve: x2-7x+10=28-4,-7-2,95,230,33The cost of renting a car for 1 day at Cars Plus is $20 plus 10 cents per mile driven. The cost of renting a car for 1 day at Need-A-Car is $20 plus 15 cents per mile driven. In a graph of the cost of a car rental, what does the cost per mile driven represent?The x-interceptThe y-interceptThe slopeThe point of intersection ................
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