y = y = f ( x ) intersects the line ! 4 + 2" 3 is equal to twice x, and is also equal to half of y. Give the value of x + 2y & 5' !

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1 FMT 009 Page of NO CLCULTORS are allowed on this test The abbreviation "NOT" means "None of These nswers" Diagrams are not necessarily drawn to scale 4 If f ( x) = x! x, then the graph of y = f ( x ) intersects the line at how many distinct points? y = The value! 4 + " 3 is equal to twice x, and is also equal to half of y Give the value of x + y 6 B 66 C -30 D -45 What is the solution set for " x x! # $ x :! = x% & 4 6 ' C! " $ # % & 5'! " # $ % & B?! " $ # % & ' D! B 3 C 4 D 6 5 Simon is exactly four years younger than his sister Four years ago, she was twice his age How old will Simon be in two years? 6 B 0 C 4 D 6 6 The probability of it raining on Wednesday is 0 and on Thursday the probability of rain is 03 The probability of rain on Saturday is 05 The probability of it raining on at least one day of four days, Wednesday 87 through Saturday, is What is the 50 probability that it will rain on Friday? 3 4x-0 p 0 B 0 C 08 D 09 If x y 40 5y+0 + = and lines p and q are parallel, what is the value of x? 30 B 0 C 8 D q 7 The figure shown to the right has each 6 B side perpendicular to adjacent sides If the figure has area 43 and perimeter 33, then what is the length B? 5 B C 5 D 3 8

2 FMT 009 Page of 8 G regular hexagon, GEFHCB, has two sides extended as shown so that, B, C and D are collinear If EF=4 then what is the area of trapezoid EFD? 3 3 B 6 3 C D If 4 x! + 6 = x for a real value of x then x = + B C for, B and C positive integers and C prime Give the value of + B + C B 0 C 8 D 6 0 For i =!, 3 + ki! 5 How many integer values of k exist? E F 0 B 3 C 4 D 9 H B C D Where defined, x + x! 3 3x! 5x x! x! 5 x! x! x + B Cx + D simplifies to, for relatively prime positive integers, and C Give the value of B + D 0 B C 4 D 5 The angles of a triangle are in the ratio of 3:4:5 If the shortest side of the triangle is 0, then what is the length of the longest side? 5( + 6) B 0 C 5( + 3) D 0 3 Jackie can wax a car in 60 minutes and Sam can wax the same car in 40 minutes If Jackie works alone for 0 minutes, and then Sam joins her to finish the job, then how many minutes will it take to finish the job (wax the car) together? Do not count Jackie's beginning 0 minutes in your total 5 B 8 C 0 D 4

3 FMT 009 Page 3 of 3 4 pizza restaurant advertises that they usually sell 8" (diameter) pizzas for $6 and 0" pizzas for $5, but this week, they will sell the larger pizza at "small pizza prices" This means that they will give the same price per square inch for the larger and smaller pizzas What is the fractional discount they are giving on the large pizza for this week? B 5 8 C The area within the graph of x + y = 4, and above the line y = has area 9 If! " B Give the value of B B 3 C 4 D 6 x( x! ) ( x! 4x! 5) " 0, how many integers over the interval [-, 5] are solutions of the inequality? D Michael took five tests this nine weeks For his first three tests, his average was 80, and for the fourth test he earned 70 What must have earned on his fifth test if his final average for all five tests was exactly 80? 90 B 88 C 84 D 80 6 n ellipse has foci at coordinates (0, 8) and (6, 0) and its graph goes through the origin What is the length of the major axis of the ellipse? 0 B 4 6 C 4 D 0 7 For! 0, Which is equal to x? 3 4 ( + ) = x + B C D B 9 C 8 D 4 0 Two different numbers have a difference of 0 and a product of 8 What is the sum of the squares of the two numbers? B 09 C 8 D 36 rhombus has one diagonal with length cm and one side with length 3 5 cm What is the altitude of the rhombus in cm? B 5 5 C 4 5 D 36 For f ( x) [ x] =, defined as the greatest integer less than or equal to x, find the value of " # f ( $! ) + f % $ & + f () ' 3 ( -4 B - C - D 0

4 FMT 009 Page 4 of 4 3 Company raised monthly salaries 0% in January, and in June again gave a 0% raise Company B raised salaries 30% in January but then in June cut salaries 0% Rob works at company and made $P a month prior to the raises Mary works at company B and made $P monthly prior to the changes What is the positive difference in their monthly salaries after June? $0 B $004P C $08P D $06P 6 right triangle has integer sides and one side has length Each side is less than 40 Give the sum of the possible hypotenuse lengths of the triangle 7 85 B 60 C 5 D 48 4 For two positive real numbers whose sum is 3, what is the value of their maximum product? 5 C n+ (! " # 3$ % = n= 9 & ' 7 7 B 69 4 D 69 B C Right triangle BC has vertices (0, 0), B(8, 0) and C(0, 0) From to the midpoint of CB, a segment is drawn Likewise, from vertex B to the midpoint of C, another segment is drawn What is the x-coordinate of the point of intersection of the two segments drawn? 5 B 3 C B D 3 C 3 D 4 8 Give f ( x + ) = x! x + 3, when f ( x ) is written in ax + bx + c form, what is the sum of the coefficients of f ( x )? 3 B C - D -

5 FMT 009 Page 5 of 5 9 Solve over the real numbers:! " log3 $ % # log9 x = & 3 ' C 9 B! D 9! 30 What is the 00 th term of the sequence 3, 7,, 8,? 500 B 550 C 6373 D 6375