EOC FINAL REVIEW Name Due Date

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1 1. The line has endpoints L(-8, -2) and N(4, 2) and midpoint M. What is the equation of the line perpendicular to and passing through M? A. B. Y= C. Y= D. Y= 3x A rectangle has vertices at (-5,3), (-5, 8), (3, 8), and (3, 3). What is the perimeter of the rectangle? A. 13 units B. 26 units C. 32 units D. 40 units 3. Power Pro Gym charges a $ initiation fee plus $20 per month, t, for membership. Cardio Fitness charges $39.99 per month with no initiation fee. Which function represents the difference in cost between a Power Pro membership and a Cardio Fitness membership? A. F(t) = t B. F(t) = t C. F(t) = t D. F(t) = t The table below shows the average price of a convertible sports car over several years. Year Price 2007 $ $ $ $ $81500 What is the average rate of change in price of the sports car from 2007 to2011? A. $ B. $ C. $ D. $ Compare the function f(x) = -2x 2 +6x +7 to the graph of the quadratic function that includes the points in the table below. x G(x) What statement is true? A. f(x) has a greater maximum. B. g(x) has a greater maximum C. g(x) has the smaller minimum. D. F(x) does not have a maximum value.

2 6. A theater has 39 seats in Row 1, 43 seats in Row 2, 47 seats in Row 3, and so on, up to Row 35. If this pattern continues, which row has 75 seats? 10 th row 7. Suppose that the function f(x) = 0.1x +7 represents the cost to download x songs a month from an internet music club. Arthur now has $10. How many more dollars does Arthur need to buy 70 songs? $4 8. While standing on a cliff 24 feet above the lake, Serena threw a rock with an initial upward velocity of 20 feet per second. The equation h = -16x 2 +20x +24 gives the height h of the rock after x seconds. How many seconds does it take for the rock to hit the water? 2 seconds 9. The area is found using the formula A= lw, where A is the area, l is the length, and w is the width. The rectangle below has an area of 63 square feet. W = x +3 L = x+5 What is the width of the rectangle to the nearest foot? 7 feet

3 Which scenario can be modeled by the graph below? A. The number of pounds of coffee, y, minus two times the number of pounds of tea, x, is at most 6. B. The number of pounds of coffee, y, minus half the number of pounds of tea, x, is at most 6. C. The number of pounds of coffee, y, plus two times the number of pounds of tea, x, is at most 6. D. The number of pounds of coffee, y, plus half the number of pounds of tea, x, is at most The graphs of 2(3) x and 2(3) x + k are graphed below. What is the value of k? 13.

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5 Deanna gets a 20 dollar bill each time she babysits and a 5 dollar bill each time she mows the lawn. She wants to know what combinations of these bills could add up to $85 for a mow bicycle. Let x equal the number of five dollar bills. Let y equal the number of twenty dollar bills. What is the domain where y is a function of x and the total value is $85? {1,5,9,13,17} 20. Suppose the function f(x) =0.05x + 30 represents the monthly phone bill, in dollars, for x minutes of calls. Courtney has $25 now. How many more dollars does Courtney need for 500 minutes of phone calls? $ Shawna makes money selling bracelets and necklaces. Each bracelet sells for one price, and each necklace sells for another. 10 bracelets and 16 necklaces sell for $ bracelets and 10 necklaces sell for $365. How much does each necklace sell for? $ The distribution of 1200 students at a high school is shown in the relative frequency table below. Class Male Female Freshmen Sophomores Juniors Seniors Approximately what percent of juniors are female? 43%

6 23. A book club has 200 members. Each member was asked whether he or she prefers fiction or nonfiction books. The results are shown in the relative frequency table below. Age Fiction Nonfiction Total Total Which statement is true? A. 6 more years olds than years B. 38 members are and prefer fiction. olds prefer fiction. C. 43 members are years old. D. 140 members prefer fiction 24. The marketing firm for a new sports channel surveyed 1500 men and women to see which extreme sport activity they preferred to watch on TV. The results of the survey are shown in the relative frequency table below. Sport Men Women Surfing Snowboarding Parcour Motocross Which statement is true? A. 135 more than would rather watch motocross than parcour. C. 11.7% of the people surveyed like to watch parcour the most. B. 405 women prefer either surfing or snowboarding. D. More men than women preferred to watch surfing

7 The sales department of a company that makes skis found that company profits could be modeled by the equation, P= 85.50s -230, where P represents the profit in dollars and s represents the number of pairs of skis the company makes. In the equation, what could the number represent? A. The sale price of a pair of skis B. The cost required to make a pair of skis C. The number of people who buy a pair of skis D. The number of pairs of skis bought by 230 people

8 A parking lot is open for a Panthers game. The area of the parking lot is 600 square meters. A car requires 6 square meters of space and a bus requires 30 square meters of space. The parking attendant can handle a maximum of 60 vehicles. The lot owner charges $3 to park a car and $8 to park a bus. What is the maximum revenue that could be generated from opening the lot for one game? A. $180 B. $230 C. $310 D. $ Vanessa collected Barbie dolls. She began with 2 dolls and added the same amount of dolls to her collection each year. In the 24 th year, Vanessa had 98 dolls. Which function, d(n), can be used to determine the number of dolls Vanessa had in any year? (A.CED.2) A. d(n) = 25n-2 B. d(n) = 2n+4 C. d(n) = 4n +2 D. d(n) = 4n -2

9 36. Which expression is equivalent to? a. b. c. d. 37. The dimensions, in inches, of a rectangular solid are shown. What is the volume in cubic solid are shown. What is the volume in cubic incheds of the rectangular solid? (V=lwh) A. B. C. D. 38. The function f(t) =-16t 2-48t models the approximate height of an object t seconds after it is launched. How many seconds will ittake for the object to hit the ground? 2 seconds 39. Five times Matthew s age plus 2 times Cooper s age is 52. Cooper s age is also 4 times Matthew s age. How old is Cooper? 16 years old 40. Michelle walked 1 mile in 30 minutes. Zach walked 3520 yards in 40 minutes. In miles per hour, how much faster did Zach walk than Michelle? ( 1 mile =1,760 yards) 1 mph 41. A rectangle has a perimeter of 20 cm. The length of the rectangle is 1 more than twice the width. What is the measure of the length? 7 cm 42. What is the smallest of 3 consecutive positive integers I the product of the smallest and largest is 21 more than 9 times the middle number? The area (A) of a triangle with the height, h, and the base, b, has the formula A= bh. Write a simplified expression to represent the area of the triangle below.

10 44. A liquid is evaporating. The amount of a liquid remaining, in liters, after x weeks is modeled by the equation y=100. Aprroximately what percent of the liquid evaporates per week? A. 22% B. 47% C. 53% D. 78%

11 (-1.5,0.5) 55. The results of the pretest and posttest for a particular chapter in a science class are presented by the graphs shown. Which statement is true about the data sets?