College Algebra Questions With Answers
Sample 1
College algebra multiple choice questions, with answers, are presented. The solutions are at the bottom of the page. Also Detailed solutions with full explanations are included.
Question 1Simplify: 9^{log9(4)} =A. 3 B. 4 C. 9 D. 81 Question 2Simplify: 3^{log3(5)} =A. 5 B. 3 C. 9 D. undefined Question 3If f(x) = 2x^{2} + 8x  4, which of the following is true?A. The maximum value of f(x) is  4. B. The graph of f opens upward. C. The graph of f has no xintercept D. f is not a one to one function. Question 4If f(x) = 5  2^{x}, then f^{1}( 3) =A. 8/39 B. 3 C. 3 D. 32 Question 5If log_{x}(3) = 1/4, then x =A. 81 B. 1/81 C. 3 D. 9 Question 6If f(x) = x^{2} + 1, then f(x + 1) =A. x^{2} + 1 B. x^{2}  2x C. x^{2} D. x^{2} 2x  2 Question 7If f(x) = x  4, then (f_{o}f)(3) = =A. 1 B. 1 C. 5 D. 5 Question 8If ln(3x  2) = 1, then x =A. 2/3 B. (2 + e)/3 C. 3/2 D. e/3 Question 9The number of solutions of (x^{2} + 1)^{2} + 2(x^{2} + 1)  3 = 0 is equal toA. 1 B. 2 C. 3 D. 4 Question 1oIf the graph of y = (x  2)^{2}  3 is translated 5 units up and 2 units to the right, then the equation of the graph obtained is given byA. y = x^{2} + 2 B. y = (x  2)^{2} + 5 C. y = (x + 2)^{2} + 2 D. y = (x  4)^{2} + 2 Question 11If f(x) = e^{x}  2, then the range of f is given by the intervalA. (∞ , 2) B. (∞ , +∞) C. (2; , +∞) D. (∞ , +2) Question 12If f(x) = √(x  1) / (x^{2}  9), then the domain of f is given by the intervalA. (1 , +∞) B. (3 , +3) C. [1 , 3)U(3 , +∞) D. (3 , 3)U(3 , +∞) Question 13The number of points of intersections of the graphs of y = 2^{x} and y = x^{2} + 2 is equal toA. 0 B. 1 C. 2 D. 3 Question 14If f(x) = ln(x + 1)  2, then f^{1}(x) =A. e^{x + 1}  2 B. e^{x}  2 C. e^{x + 2}  2 D. e^{x + 2}  1 Question 15For all x real, √(x^{2} 4x + 4) =A. x  2 B. x + 2x + 2 C. x  2 D. x + 2 Question 16The value of x that makes x^{2} + 6x + 13 maximum is equal toA. 6 B. 3 C. 13 D. 3 Question 17e^{ln(3)  ln(2) + ln(1/x)} =A. 3 / (2x) B. 3x/2 C. 1 + 1/x D. 3/2  1/x Question 18If f(x) = (x  1) / (x + 2), then the range of f is given by the intervalA. (∞ , 2)U(2 , +∞) B. (∞ , 1)U(1 , +∞) C. (2; , +∞) D. (∞ , 1) Question 19ln((x  1)^{2}) = 2 ln(x  1) for all x in the intervalA. (∞ , +∞) B. [0 , +∞) C. (∞ , 1)U(1 , +∞) D. (1 , +∞) Question 20Let f(x) = x^{2} + 2x + 4. Which of the following statements is NOT true?A. f(x) has a maximum value B. The graph of f is not a line C. The graph of f has no xintercepts. D. The graph of f has a yintercept.
Answers to the Above Questions
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