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Mathematics > STUDY GUIDE > Advanced Algebra and Functions Sample Questions (All)

Advanced Algebra and Functions Sample Questions

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Sample Questions Choose the best answer. If necessary, use the paper you were given. 1. Function g is defined by g(x) = 3(x + 8). What is the value of g(12)? A. –4 B. 20 C. 44 D. 60 2. x y –6 O 6 –6 6 Which of the following is an equation of the line that passes through the point (0, 0) and is perpendicular to the line shown above? A. y = 5 4 x B. y = 5 4 x + 3 C. y = − 4 5 x D. y = − 4 5 x + 3 3. 9 cm 3 cm 4 cm The surface area of a right rectangular prism can be found by finding the sum of the area of each of the faces of the prism. What is the surface area of a right rectangular prism with length 4 centimeters (cm), width 9 cm, and height 3 cm? (Area of a rectangle is equal to length times width.) A. 75 cm2 B. 108 cm2 C. 120 cm2 D. 150 cm2 4. Which of the following expressions is equivalent to (x + 7)(x2 – 3x + 2)? A. x3 – 3x2 + 2x + 14 B. x3 + 4x2 – 19x + 14 C. x3 – 3x + 14 D. x2 – 2x + 9 5. Number of pounds Cost (dollars) Cost of Pears: C = p 7 5 Cost of Apples 0 7 8 9654321 7 6 5 4 3 2 1 8 The graph above shows the cost, in dollars, of apples as a function of the number of pounds of apples purchased at a particular grocery store. The equation above defines the cost C, in dollars, for p pounds of pears at the same store. Which of the following statements accurately compares the cost per pound of apples and the cost per pound of pears at this store? A. Apples cost approximately $0.07 less per pound than pears do. B. Apples cost approximately $0.04 less per pound than pears do. C. Apples cost approximately $0.73 less per pound than pears do. D. Apples cost approximately $0.62 more per pound than pears do. ACCUPLACER Advanced Algebra and Functions © 2020 College Board. 3 6. Which of the following is the graph of a function where y = f(x)? A. x y O B. x y O C. x y O D. x y O 7. Which of the following expressions is equivalent to 3x2 + 6x – 24? A. 3(x + 2)(x – 4) B. 3(x – 2)(x + 4) C. (x + 6)(x – 12) D. (x – 6)(x + 12) 8. A biologist puts an initial population of 500 bacteria into a growth plate. The population is expected to double every 4 hours. Which of the following equations gives the expected number of bacteria, n, after x days? (24 hours = 1 day) A. n = 500(2)x B. n = 500(2)6x C. n = 500(6)x D. n = 500(6)2x 9. x2 + 5x – 9 = 5 Which of the following values of x satisfies the equation above? A. 7 B. 3 C. –2 D. –7 10. The graph of y = f(x) is shown in the xy-plane below. x y –4 –2 2 4 O

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