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.
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20. If f(x) = 2x – 7 and g(x) = -3x2 , Evaluate the function f(g(x)).
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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)}
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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 ?
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