Name: ________________________________________________________ Period: _______ Math B Review – 2 Date: ________________________ _________________ 1. What is the sum of 2 ! !4 and !3 + !16 expressed in a + bi form? (1) !1 + 2i (3) !1 + 12i (2) !1 + i 20 (4) !14 + i 2. If f ( x ) = 4 x 0 + (4 x ) !1 , what is the value of f (4) ? 1 (1) !12 (3) 1 16 1 (2) 0 (4) 4 16 2x2 ? 3. What is the domain of the function f ( x ) = 2 x !9 (1) all real numbers except 0 (2) all real numbers except 3 (3) all real numbers except 3 and –3 (4) all real numbers 4. If logb x = y , then x equals (1) y • b y (2) b (3) y b (4) b y 5. If f ( x ) = x + 1 and g ( x ) = x 2 ! 1, the expression ( g ! f )( x ) equals 0 when x is equal to (1) 1 and –1 (3) –2, only (2) 0, only (4) 0 and –2 6. Written in simplest form, the expression (1) 1 5 (2) ! x2 ! 9x is equivalent to 45x ! 5x 2 (3) 5 1 5 (4) !5 7. If log a = x and log b = y , what is log a b ? x+ y (1) x + 2 y (3) 2 y (2) 2 x + 2 y (4) x + 2 8. Which relation is a function? (1) xy = 7 (3) x 2 ! y 2 = 7 (2) x = 7 (4) x 2 + y 2 = 7 9. Which equation, when graphed on a Cartesian coordinate plane, would best represent an elliptical racetrack? (1) 3x 2 + 10 y 2 = 288,000 (3) 3x + 10 y = 288,000 2 2 (2) 3x ! 10 y = 288,000 (4) 3x + 10 y = 288,000 10. Which equation has imaginary roots? (1) x(5 + x) = 8 (3) x(x + 6) = -10 (2) x(5 - x) = -3 (4) (2x + l)(x - 3) 3 2 1 11. If f ( x) = x , then f ( ) is equal to 4 1 (1) 8 (3) ! 8 (2) -2 (4) -4 ! 12. If the equation x 2 ! kx ! 36 = 0 has x = 12 as one root, what is the value of k? (1) 9 (3) 3 (2) -9 (4) -3 13. The height, f(x), of a bouncing ball after x bounces is represented by f ( x) = 80(0.5) x . How many times higher is the first bounce than the fourth bounce? (1) 8 (3) 16 (2) 2 (4) 4 14. The graph of y = ( x ! 3) 2 is shifted left 4 units and down 2 units. What is the axis of symmetry of the transformed graph? (1) x = -2 (3) x = 1 (2) x = -1 (4) x = 7 15. The solution set of 2 x (1) {1} (2) {-1} 2 +2 x = 2 !1 is (3) {-1,1} (4) { } 1 16. Which transformation best describes the relationship between the functions f ( x) = 2 x and g ( x) = ( ) x ? 2 (1) reflection in the line y = x (2) reflection in the origin (3) reflection in the x-axis (4) reflection in the y-axis 17. What is the multiplicative inverse of 3i? 1 (1) -3i (3) 3 i (2) -3 (4) ! 3 18. Which equation represents a hyperbola? (1) y 2 = 16 ! x 2 (3) y = 16x 2 16 (2) y = 16 ! x 2 (4) y = x 19. The solution set of which inequality is represented by the accompanying graph? (1) x ! 2 > 7 (3) 2 ! x > !7 (2) x ! 2 < 7 (4) 2 ! x < !7 20. Which expression is in simplest form? x2 ! 4 x (1) 2 (3) x+2 x x 2 ! 6x + 9 9 (2) 2 (4) 2 x ! x!6 x +9 21. Which set of ordered pairs does not represent a function? (1) {(3,-2), (-2,3), (4,-1), (-1,4)} (2) {(3,-2), (3,-4), (4,-1), (4,-3)} (3) {(3,-2), (4,-3), (5,-4), (6,-5)} (4) {(3,-2), (5,-2), (4,-2), (-1,-2)}

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