Sample Questions for the Exam: 1. Solve the equation 4x2 = 5x + 1 and leave the answer in simplest radical form. 2. What is the slope of the graph of the inverse of the equation y = 2x – 1 ? (A) 1 (B) ½ (C) - ½ (D) -1 3. Find the two binomial factors of ax + bx + ay + by 4. If x varies directly as y, and if x = 6 when y = 1/3 , find the value of x when y = 3. 5. Write the equation of the line which is perpendicular to y = -4x + 3 and passes through the origin. 6. Solve for x: 6x2 – 11x + 5 = 0 7. The inverse of the function y = x2 is ___________ 8. Factor completely: 3x3 – 12x 9. If the graphs of y + 3x = 6 and y – 2x = k intersect at a point where x = 2, what is the value of k? 10. Which fraction is equivalent to .7171717…? 11. What is the equation for the inverse of the function y= -4x + 2? 12. Write a quadratic equation which has x = -6 and x = -7 for its solutions. 13. Use the discriminant to determine the nature of the roots of 2x2 – 5x + 1 = 0. 14. Solve for x: (x-3)2 +(x-3)- 2 = 0 15. Solve for x: x4 -12x2 + 32 = 0 16. Write a function of the form g(x) = (x - h)2 + k whose graph represents a translation of the graph of f(x) = x2 three units to the left and six units down. 17. Determine the vertex and axis of symmetry for the parabola f(x) = x2 - 4x + 5. 18. see sheet 19. see sheet 20. If f(x) = 2x – 7 and g(x) = -3x2 , Evaluate the function f(g(x)). 21. see sheet 22. Which of the following is not a function? (A) {(1, 2), (-2, 2), (3, 3)} (B) {(1, 2), (-2, 6), (3, 3)} (C) {(2, 2), (3, 3), (4, 3)} (D) {(1, 3), (4, 4), (4, 6)} 23. see sheet 24. Given f(x) = -2x and g(x) = 2x – 6, Determine (f – g )(x) 25. Which is the solution of x – 1 <= 3x + 17 ? 26. The additive identity is ____ 27. The multiplicative inverse of 8y is ____ 28. What property is illustrated by 6 ( 8 + y) = (8 + y) 6 ? 29. What property is illustrated by 6+ (8 + y) = (6 + 8) + y ? 30. see sheet |