Practice Test Student Answer Document

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1 Practice Test Student Answer Document Record your answers by coloring in the appropriate bubble for the best answer to each question Mastering the EOI, Algebra II

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3 Practice Test Which equation models exponential growth? A y = 0. (.08) x B y = 7 e -.x C y = 8000 (0.9) x D y =. (.7) - What are the factors of x - 7x -? F (x + ) and (x - ) G (x - ) and (x + ) H (x - ) and (x - ) J (x + ) and (x + ) 0 + 0_ + 0_ 9 + 0_ 7 + What is the sum of this infinite series? Arithmetic Sequences & Series n th term: a n = a + (n - )d Sum: s n = n _ ( a + a n ) Geometric Sequences & Series n th (n - ) term: a n = a r Sum: s n = a ( _ - r n ) ( - r) F The sum does not exist. G _ H J 0 Which statement is equivalent to =? A lo g = B lo g = C lo g = D lo g = _, _, _ 8, _, What is the sum of the infinite geometric series? Arithmetic Sequences & Series n th term: a n = a + (n - )d Sum: s n = n _ ( a + a n ) Geometric Sequences & Series n th (n - ) term: a n = a r Sum: s n = a ( _ - r n ) ( - r) A - _ B _ C D (0 ) - _ What is the value of this expression? F - H _ G -_ J Mastering the EOI, Algebra II 7

4 7 Which is the graph of y = x + x +? A B C D What is the simplified form of? F H G J 9 Ian, Sarah, and Jeremy were hired to paint classrooms at a school last summer. Ian painted more classrooms than Sarah. Sarah painted twice as many classrooms as Jeremy. Together they painted a total of 7 classrooms. How many classrooms did Sarah paint? A B C D 8 0 The First Place Tower in Tulsa, Oklahoma, is feet tall. Suppose a ball is thrown upward by a person standing on the top of the building so that its height above the ground, h, in feet, after t seconds is given by the equation h = - t + t +. What will be the height of the ball after seconds? F 0 ft G ft H ft J 88 ft Which expression is equivalent to (8 y - 0 y - 9y + 9) (y - )? A y + y - B y - y + C y - D y + y + y - 8 Mastering the EOI, Algebra II

5 A landscaper in Fair Oaks, Oklahoma received the bids shown in the graph below for cedar chips. ( x - x - x + ) (x + ) Which expression represents the quotient? A x - B x - x + C x + D x - x + If the landscaper needs tons of cedar chips, which bidder is the cheapest? F Fennel G Gregory H Howe J Jackson Which inequality best describes the domain of the function represented by the graph? F x 0 G x H y 0 J y If f (x) = x - 8 and g (x) = 9 x -, which expression is equivalent to g (x) f (x)? A x + 8 B x - 8 C _ x + 8 D 7 x + Mastering the EOI, Algebra II 9

6 The second tallest building in Oklahoma is the Bank of Oklahoma Tower. It has 8 fewer stories than the tallest building in Oklahoma, the Citiplex. Together these buildings have stories. How many stories are in the Bank of Oklahoma Tower? F G H 0 J 70 8 x + y x - y 0 x Which graph shows the solutions of the system of equations? F What are solutions of x + x - = 0? If a x + bx + c = 0 then x = -b ± b - ac a A - ± B ± C - ± D ± G H J Mastering the EOI, Algebra II

7 9 y = (x - ) - Which graph represents this equation? A B What is the product of ( - i) and ( + i)? F 8 + i G - i H + i J 8 - i An amount of $00 is invested in a savings account paying.% compounded continuously. How long would it take for the account to be worth $00? A.7 years B. years A = P e rt C. years D.0 years C D, 0,,., What is the general term of this geometric sequence? Arithmetic Sequences & Series n th term: a n = a + (n - )d Sum: s n = n _ ( a + a n ) Geometric Sequences & Series n th (n - ) term: a n = a r Sum: s n = a _ ( - r n ) ( - r) F n + H ( ) n - G ( ) n J ( ) n - Mastering the EOI, Algebra II

8 Which graph represents the function f (x) = - x? A B C D Which equation represents the equation of a hyperbola? F x = y G x + y + 9y = 7 H x - y + x = 0 J x + y - x - y + = The function f (s) = s + is used to convert women s shoe sizes in the United States to shoe _ sizes in Italy. The function g (s) = s - is used to convert shoe sizes in Italy to shoe sizes in Great Britain. What is a function for converting women s shoe sizes in the United States to shoe sizes in Great Britain? A (f g) (s) = s + 7 B (f + g) (s) = _ s + 0 C (g f) (s) = s - D fg (s) = s + s - -, -,,, What is the formula for the n th term of this sequence? Arithmetic Sequences & Series n th term: a n = a + (n - )d Sum: s n = n _ ( a + a n ) F a n = n - G a n = n - H a n = n - J a n = n - 7 Mastering the EOI, Algebra II

9 7 8 7x _ y - x y xy Which expression represents the quotient? F 7y - x y G 7 - x y H 7y - x J 7y - a_ a - - a - + a What is the simplest form of this expression? A _ a B _ a - a C -_ a + D -_ 9 Which is the graph of y = log (x + )? A B C D Mastering the EOI, Algebra II

10 0 If a >, for what values of x is lo g a x > 0 true? F for all values of x G for all x such that 0 < x < H for all x such that x > J for no values of x Kumar can paint his room in 0 hours. Julio can paint the same room in 8 hours. To the nearest minute, how long will it take if they paint the room together? A h min B h 7 min C h min D 9 h x - y + z = - x + y - z = - -x + y + z = What is the solution to this system of equations? F G { (-,, ) } H { (,, ) } J { (, -, 7) } What is the range of the function shown on the graph? A y > B y C - < y < D all real numbers Which polynomial represents the area of a circle with a radius of x -? F π ( x + 9) G π ( x - x - 9) H π ( x - x + 9) J π ( x - x) Mastering the EOI, Algebra II

11 How does the graph of y = x - differ from the graph of y = x +? A The vertex of y = x - is units below the vertex for y = x +. B The vertex of y = x - is units above the vertex for y = x +. C The vertex of y = x - is units to the left of the vertex for y = x +. D The vertex of y = x - is units to the right of the vertex of y = x +. 7 What is the parent function of this graph? A absolute value B exponential C linear D quadratic x - y = - x - 9y = What is the solution to this system of equations? F all (x, y) such that x - y = - G H ( 7, ) ( ) J 7_, _ 9 8 What is the equation of the graphed circle? F (x - ) + (y - ) = G (x + ) + (y + ) = H (x - ) + (y - ) = 9 J (x + ) + (y + ) = 9 Mastering the EOI, Algebra II

12 9 Ladawn threw a coin from the second story of the mall into the fountain on the ground floor. The table below shows the relationship between the elapsed time and the coin s height above the bottom of the fountain. Time (sec) Height (ft) If the height of the coin can be modeled by a quadratic function of time, which equation best represents the height, h, at time, t? A h = - t B h = - t C h = 8 t D h = t + 0 When is the equation lo g a a k = k true? F when a = k G never H when a > 0 and a J when k > 0 y Which rotational function is shown in this graph? x + A (x - ) (x + ) x + B (x + ) (x - ) x + C (x + ) (x + ) x + D (x - ) (x - ) What is the length of side b of the rectangle shown? Area = x + x - x + F x - x + G x - x + H x + x + J x + x - x + x Mastering the EOI, Algebra II

13 n _ n - + _ - n Which expression represents the result of this addition? A _ n - n - B _ n + n - C _ n - - n D n + 8n - -n + 0n - What is the minimum point of the graph? F (, ) G (-, -) H (-, -7) J (-, -) The price, u, of a laptop computer at Store A is $7 more than half the price, l, of the same computer at Store B. The difference in price between the computer at Store A and Store B is $0. Which system of equations can be used to determine the price of the computer at each store? A u + _ l = 7 u + l = 0 B u - l = 0 l - u = 7 C u - _ l = 0 l - u = 7 D u - _ l = 7 u - l = 0 Jan can mow her neighbor s lawn in hours. Ian can mow the same lawn in hours. To the nearest minute, how long will it take if they mow the lawn together? F h G h min H h min J h min Mastering the EOI, Algebra II 7

14 7 When is the equation a + b = a + b true? A when a = 0 and b 0 or when b = 0 and a 0 B always C never D when a 0 and b > 0 8 Radioactive substances decay over time. If the amount of carbon- in an animal bone was P 0 grams at the time the animal died, then the amount of carbon- remaining in the bone t years later is given by the function P(t) = P 0 e t. If 0% of the original carbon- remains in a bone found at Spiro Mounds in Oklahoma, about how old is the bone? 9 F 9,000,000 years G 9,000 years H 8,000 years J,900 years _ What is the simplified form of? A B C D 0 At a manufacturing plant, machine A can produce 00 parts for a rush order in hours and machine B can produce the same 00 parts in 8 hours. How long to the nearest minute, would it take both machines working together to produce the 00 parts? F h min G h min H h 0 min J h min T = _ ln log ( + r ) This formula gives the number of years, T, required for your money to double when invested at an interest rate, r, compounded continuously. If the interest rate is %, what is the value of T to the nearest tenth? A. years B.9 years C. years D.7 years 8 Mastering the EOI, Algebra II

15 , 7,, 9, What is the next term in this sequence? F - G H J 7 Which graph represents the function f (x ) = ( ) x? A The equation y = a(x - h ) + k is the standard form of which type of conic section? A circle B parabola C hyperbola D ellipse B What is the product of (- + i) and (-9 - i)? F - i G - i H + i J + i C D Mastering the EOI, Algebra II 9

16 Which graph shows the equation (x + ) + (y - ) =? F 7 7 _ - and are the roots of which polynomial equation? A x - x - = 0 B x - = 0 C x - _ = 0 D x + _ 9 = 0 G H J Which function represents this graphed function? F f (x) = _ x + x - G f (x) = _ x - x + H f (x) = _ x + x + J f (x) = _ x + x - 0 Mastering the EOI, Algebra II

17 9 ( - 7i) - (- + 8i) Which expression represents the result of this subtraction? A - i B - i C 8 - i D 8 + i What conclusion can be made from the scatter plot? A There is no association. B The more hours spent watching TV per week, the higher the G.P.A. C The fewer hours spent watching TV per week, the lower the G.P.A. D The more hours spent watching TV per week, the lower the G.P.A. 0, 8, 7, 0., What is the next term in the sequence? F. G H 0.7 J 8 Which expression is equivalent to _ x - _ x - + x + x +? F _ x + x - x + G _ x + x - x - H x + x + x + J x + x + x - Mastering the EOI, Algebra II

18 Which equation represents the conic shown on the graph? A 9 x + y = 0 B 9 x - y = 0 C x - 9 y = 0 D x + 9 y = 0 When two lenses are put together, the combined focal length is given by the equation below, where f and f are the focal lengths of each lens. f = _ f f f + f What is the combined focal length to the nearest tenth of a centimeter when f is cm and f is 8 cm? F.0 G. H 0. J 0. The graph shows the increase in Sally s salary over a 0-year period while working for her current company. Which is a reasonable conclusion about Sally s salary during the time shown on the graph? A Her salary doubled in 0 years. B Her salary increased by 0% over the first years. C Her salary increased by 0% over the first 0 years. D Her salary increased by % each year. Mastering the EOI, Algebra II

19 What is the product of - + 7i and its conjugate? F -8 G 0 - i H -8 - i J 0 7 The graph shown is the function f (x) = x + x What is the relative maximum and relative minimum? A max. = (., -.7) ; min. = (, 0) B max. = (-.7,.) ; min. = (0, ) C max. = (., -.7) ; min. = (0, ) D max. = (-.7,.) ; min. = (, 0) 8 _ x + _ (x ) - What is the simplest form of this expression? F _ + x x G _ x H x + x J 9 x + x 9 What is the vertical asymptote(s) of the following function? A x = - and x = B x = C x = D x = - and x = Mastering the EOI, Algebra II

20 70 What are the solutions of x - x - = 0? F _, _ G ± 8 _ H ± 9 8 J - and -_ 7 Which graph represents the function f (x) = x + x - x +? F Which system of linear inequalities is graphed? A y x + y -x - B y < x + y -x + C y < x - y -x - D y < x + y -x - G H J Mastering the EOI, Algebra II

21 7 What is the equation of the graph? A _ 9y + _ x = B _ 9y - _ x = C y + x = D y - x = 7 The table shows Portia s test scores in math at Western Oklahoma State College during her first semester. Which function best represents the data in the table? Test Test Score F f (x) = -.x + 9. G f (x) = -0.7 x +.7x + 8. H f (x) = x + x -.8x + 9 J f (x) = 0.0 x -. x + 0. x - x + 7 The scatter plot below shows the height and weight of some high school athletes. Which equation best models the data? A y = -.x + 87 B y =.8x - C y = x - x + D y = 7 ( x ) Mastering the EOI, Algebra II