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Sample Questions3.Choose the best answer. If necessary, use the paper youwere given.3 cmFunction g is defned by g(x) 3(x 8). What is thevalue of g(12)?A.B.C.D.2.Te surface area of a right rectangular prism can befound by fnding the sum of the area of each of thefaces of the prism. What is the surface area of a rightrectangular prism with length 4 centimeters (cm), width9 cm, and height 3 cm? (Area of a rectangle is equal tolength times width.)A. 75 cm2B. 108 cm2C. 120 cm2D. 150 cm2y6O–66x–64.5x4B. y 5x 34C. y 4x5D. y 4x 35ACCUPLACERWhich of the following expressions is equivalent to(x 7)(x2 – 3x 2)?A. x3 – 3x2 2x 14B. x3 4x2 – 19x 14C. x3 – 3x 14D. x2 – 2x 95.Which of the following is an equation of the line thatpasses through the point (0, 0) and is perpendicular tothe line shown above?A. y 4 cm9 cm–4204460Next-Generation Advanced Algebra and Functions Cost of ApplesCost (dollars)1.876543210Cost of Pears: C 7 p51 2 3 4 5 6 7 8 9Number of poundsTe graph above shows the cost, in dollars, of apples asa function of the number of pounds of apples purchasedat a particular grocery store. Te equation above defnesthe cost C, in dollars, for p pounds of pears at the samestore. Which of the following statements accuratelycompares the cost per pound of apples and the cost perpound of pears at this store?A. Apples cost approximately 0.07 less per poundthan pears do.B. Apples cost approximately 0.04 less per poundthan pears do.C. Apples cost approximately 0.73 less per poundthan pears do.D. Apples cost approximately 0.62 more per poundthan pears do. 2017 The College Board.2

6.Which of the following is the graph of a function wherey f(x)?8.A biologist puts an initial population of 500 bacteriainto a growth plate. Te population is expected todouble every 4 hours. Which of the following equationsgives the expected number of bacteria, n, afer x days?(24 hours 1 day)A. n 500(2)xB. n 500(2)6xC. n 500(6)xD. n 500(6)2x9.x2 5x – 9 5A.yxOWhich of the following values of x satisfes the equationabove?A. 7B. 3C. –2D. –7B.y10. Te graph of y f(x) is shown in the xy-plane below.yxO2C.–4y–2O24x–2–4xO–6–8D.Which of the following equations could defne f(x)?A. f(x) x2 – 2x – 8B. f(x) –x2 2x – 8C. f(x) (x – 2)(x 4)D. f(x) –(x – 1)2 – 9yO7.xWhich of the following expressions is equivalent to3x2 6x – 24?A. 3(x 2)(x – 4)B. 3(x – 2)(x 4)C. (x 6)(x – 12)D. (x – 6)(x 12)ACCUPLACER11. Which of the following best describes the range ofy –2x4 7?A. y –2B. y 7C. y 7D. All real numbersNext-Generation Advanced Algebra and Functions 2017 The College Board.3

12. For which of the following equations is x 6 theonly solution?A. (6x)2 0B. (x – 6)2 0C. (x 6)2 0D. (x – 6)(x 6) 013. If f(x) x2 3x 1, what is f(x 2)?A. x2 3x 3B. (x 2)2 3(x 2) 1C. (x 2)(x2 3x 1)D. x2 3x 917. In the function f(x) a(x 2)(x – 3)b, a and b are bothinteger constants and b is positive. If the end behaviorof the graph of y f(x) is positive for both very largenegative values of x and very large positive values of x,what is true about a and b?A. a is negative, and b is even.B. a is positive, and b is even.C. a is negative, and b is odd.D. a is positive, and b is odd.18. Which of the following equations is equivalent to 25x 7?7A. x log 2 5()14. What, if any, is a real solution to 5x 1 9 3 ?1A. 5B. 71435D. Tere is no real solution.C.315. If x –2 and x , what is the solution to25x ?x 2 2x 332C. –2 and32RKQPTriangle JKL and triangle PQR are shown above. If Jis congruent to P, which of the following must betrue in order to prove that triangles JKL and PQR arecongruent?A. L R and JL PRB. KL QR and PR JLC. JK PQ and KL QRD. K Q and L RACCUPLACERlog 7 25D. x log 7 52A.x yx yB.x yC.x yx x y y520. In triangle ABC, angle C is a right angle. If cos A ,8what is the value of cos B?JLC. x D.D. –3 and –516.log 2 7519. If x 0 and y 0, which of the following expressions isequivalent to x y ?x yA. 3 and 5B. 2 and B. x Next-Generation Advanced Algebra and Functions A.38B.58C.398D.898 2017 The College Board.4