b 1 A = bh h r V = pr

Transcription

1 . Te use of a calculator is not permitted.. All variables and expressions used represent real numbers unless oterwise indicated.. Figures provided in tis test are drawn to scale unless oterwise indicated.. All figures lie in a plane unless oterwise indicated.. Unless oterwise indicated, te domain of a given function f is te set of all real numbers x for wic f(x) is a real number. r A = pr C = pr l A = lw w b A = b b c a c = a + b x s s x x s Special Rigt Triangles l V = lw w r V = pr r V = pr p r V = pr w l V = lw

2 x+ x+ x+ x =+ x+ x In te equation above, wat is te value of x? A) B) C) D) Distance traveled (feet) d Time (minutes) Te grap above sows te distance traveled d, in feet, by a product on a conveyor belt m minutes after te product is placed on te belt. Wic of te following equations correctly relates d and m? A) d =m B) d = m C) d = m+ D) d = m+ m

3 Te formula below is often used by project managers to compute E, te estimated time to complete a job, were O is te sortest completion time, P is te longest completion time, and M is te most likely completion time. O+ M+ P E = Wic of te following correctly gives P in terms of E, O, and M? A) P =E O M B) P = E+ O+M O+ M+ E C) P = O+M E D) P = S R x V T In te figure above, RT = TU. Wat is te value of x? A) B) C) D) U Te widt of a rectangular dance floor is w feet. Te lengt of te floor is feet longer tan its widt. Wic of te following expresses te perimeter, in feet, of te dance floor in terms of w? A) w + B) w + C) w + D) w +w y >x x > Wic of te following consists of te y-coordinates of all te points tat satisfy te system of inequalities above? A) y > B) y > C) y > D) y >

4 x+ + = x+ Wat is te solution set of te equation above? A) { } B) {} C) {, } D) {,, } f( x) = x x gx ( ) = x x Wic of te following expressions is equivalent to f( x), for x >? gx ( ) A) B) C) D) x + x + x + xx ( ) x + xx ( +) x + ( x ) + ( y+ ) = In te xy-plane, te grap of te equation above is a circle. Point P is on te circle and as coordinates (, ). If PQ is a diameter of te circle, wat are te coordinates of point Q? A) (, ) B) (, ) C) (, ) D) (, ) A group of people went on an overnigt camping trip, taking tents wit tem. Some of te tents eld people eac, and te rest eld people eac. Assuming all te tents were filled to capacity and every person got to sleep in a tent, exactly ow many of te tents were -person tents? A) B) C) D)

5 O y Wic of te following could be te equation of te grap above? A) y = x( x )( x+) B) y = x ( x )( x+ ) C) y = x( x+)( x ) D) y = x ( x+ )( x ) If A) B) a = b, wat is te value of b a? C) D) x Oil and gas production in a certain area dropped from million barrels in to. million barrels in. Assuming tat te oil and gas production decreased at a constant rate, wic of te following linear functions f best models te production, in millions of barrels, t years after te year? A) f () t = t + B) f () t = t + C) f () t = t + D) f () t = t +

6 y = x +x y x+ = How many solutions are tere to te system of equations above? A) Tere are exactly solutions. B) Tere are exactly solutions. C) Tere is exactly solution. D) Tere are no solutions. gx ( ) =x x ( ) = gx ( ) Te functions g and are defined above. Wat is te value of ()? A) B) C) D)

7 Grid in result. Fraction line Write answer in boxes. For questions -, solve te problem and enter your answer in te grid, as described below, on te answer seet.. Altoug not required, it is suggested tat you write your answer in te boxes at te top of te columns to elp you fill in te circles accurately. You will receive credit only if te circles are filled in correctly.. Mark no more tan one circle in any column.. No question as a negative answer.. Some problems may ave more tan one correct answer. In suc cases, grid only one answer.. Mixed numbers suc as must be gridded as. or. (If is entered into te grid, it will be interpreted as, not.). Decimal answers: If you obtain a decimal answer wit more digits tan te grid can accommodate, it may be eiter rounded or truncated, but it must fill te entire grid. Answer: Acceptable ways to grid are: Decimal point Answer:.... Answer: eiter position is correct NOTE: You may start your answers in any column, space permitting. Columns you don t need to use sould be left blank.

8 x + x = If a is a solution of te equation above and a >, wat is te value of a? Te sum of x + x+ written in te form ax + bx + c and x +x can be, were a, b, and c are constants. Wat is te value of a+ b+ c? x + y =. x+ y =. If ( xy, ) satisfies te system of equations above, wat is te value of y?... A start-up company opened wit employees. Te company s growt plan assumes tat new employees will be ired eac quarter (every monts) for te first years. If an equation is written in te form y = ax+ b to represent te number of employees, y, employed by te company x quarters after te company opened, wat is te value of b? B x A Note: Figure not drawn to scale. In te circle above, point A is te center and te lengt of arc BC is circle. Wat is te value of x? C of te circumference of te