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Free mathematics tutorials Questions 1:  If Logx (1 / 8) = - 3 / 2, then x is equal to  A. - 4  B. 4  C. 1 / 4  D. 10

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Question 2:  20 % of 2 is equal to  A. 20  B. 4  C. 0.4  D. 0.04 Questions 3:  If Log 4 (x) = 12, then log 2 (x / 4) is equal to  A. 11  B. 48  C. -12  D. 22

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Questions 4:  The population of a country increased by an average of 2% per year from 2000 to 2003. If the population of this country was 2 000 000 on December 31, 2003, then the population of this country on January 1, 2000, to the nearest thousand would have been  A. 1 846 000  B. 1 852 000  C. 1 000 000  D. 1 500 000

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Questions 5:  f is a quadratic function whose graph is a parabola opening upward and has a vertex on the x-axis. The graph of the new function g defined by g(x) = 2 - f(x - 5) has a range defined by the interval  A. [ -5 , + infinity)  B. [ 2 , + infinity)  C. ( - infinity , 2]  D. ( - infinity , 0]

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Questions 6:  f is a function such that f(x) < 0. The graph of the new function g defined by g(x) = | f(x) | is a reflection of the graph of f  A. on the y axis  B. on the x axis  C. on the line y = x  D. on the line y = - x

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Questions 7:  If the graph of y = f(x) is transformed into the graph of 2y - 6 = - 4 f(x - 3), point (a , b) on the graph of y = f(x) becomes point (A , B) on the graph of 2y - 6 = - 4 f(x - 3) where A and B are given by  A. A = a - 3, B = b  B. A = a - 3, B = b  C. A = a + 3, B = -2 b  D. A = a + 3, B = -2 b +3

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Questions 8:  When a parabola represented by the equation y - 2x 2 = 8 x + 5 is translated 3 units to the left and 2 units up, the new parabola has its vertex at  A. (-5 , -1)  B. (-5 , -5)  C. (-1 , -3)  D. (-2 , -3)

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Questions 9:  The graphs of the two linear equations ax + by = c and bx - ay = c, where a, b and c are all not equal to zero,  A. are parallel  B. intersect at one point  C. intersect at two points  D. perpendicular

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Questions 10:  The graphs of the two equations y = a x 2 + b x + c and y = A x 2 + B x + C, such that a and A have different signs and that the quantities b 2 - 4 a c and B 2 - 4 A C are both negative,  A. intersect at two points  B. intersect at one point  C. do not intersect  D. none of the above

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Questions 11:  For x greater than or equal to zero and less than or equal to 2 pi, sin x and cos x are both decreasing on the intervals  A. (0 , pi/2)  B. (pi/2 , pi)  C. (pi , 3 pi / 2)  D. (3 pi / 2 , 2 pi)

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Questions 12:  The three solutions of the equation f(x) = 0 are -2, 0, and 3. Therefore, the three solutions of the equation f(x - 2) = 0 are  A. - 4, -2, and 1  B. -2, 0 and 3  C. 4, 2, and 5  D. 0, 2 and 5

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Questions 13:  The three solutions of the equation f(x) = 0 are - 4, 8, and 11. Therefore, the three solutions of the equation f(2 x) = 0 are  A. - 2, 4, and 11/2  B. - 8, 16 and 22  C. - 4, 8, and 11  D. 2, 19 / 2 and 7 / 2

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