1. Which choice represents the solution(s) to the equation (x - 4)^{2} = 3x - 12 ?

[1] x = 7 only
[2] x = -7 only
[3] x = 7, x = 4
[4] x = -7, x = -5
2. Which choice is equivalent to ?

[1] 4a ^{2} c
[2] 4a ^{3} c ^{-1}
[3] 4a ^{5} c ^{5}
[4] 2a ^{3} c ^{-1}
3. Which expression is NOT equivalent to 32x + 28y ?

[1] 4(8x + 7y )
[2] 4(5x + 7y + 3x )
[3] 30(2x - 2y )
[4] 2(16x + 14y )
4. At which point does the function y = -x ^{2} + 6x - 5 reach its maximum value?

[1] (3,4)
[2] (-3,4)
[3] (1,4)
[4] (4,3)
5. Which table represents a linear relationship?

[1]
[2]
[3]
[4]
6. The slope of a line is ½ and the y -intercept is 4. Which choice is the x -intercept of this line?

[1] -8
[2] 8
[3] -4
[4] 4
7. For which function defined by a polynomial, are the zeros of the polynomial -2 and -7?

[1] y = x ^{2} + 9x - 14
[2] y = x ^{2} - 9x + 14
[3] y = x ^{2} + 9x + 14
[4] y = x ^{2} - 9x - 14
8. Let x and y be numbers such that 0 < x < y < 1, and let d = x - y. Which graph could represent the location of d on the number line?

[1]
[2]
[3]
[4]
9. If h (x ) = 2x ^{2} + 3x + 1, find h (-2).

[1] 15
[2] -13
[3] 3
[4] -3

10. In the diagram at the right, the dimensions of the large rectangle are (3x - 1) by (3x + 7) units. The dimensions of the cut-out rectangle are x by 2x + 5 units. Which choice expresses the area of the shaded region, in square units?

[1] x ^{2} + 23x - 7
[2] x ^{2} + 13x - 7
[3] 7x ^{2} + 23x - 7
[4] 7x ^{2} + 13x - 7
11. Given y = 2x ^{2} - 10x . Find all real values of x for which y = -3.

[1]
[2]
[3]
[4]
12. Given the equations 2x + y = 1 and y = x + 7. Find the value of x - y .

[1] -7
[2] 7
[3] -5
[4] 5
13. A sequence is defined recursively by: f (1) = 4; f (n ) = f (n -1) + 3n . Find f (5).

[1] 16
[2] 24
[3] 33
[4] 46
14. The expression x ^{4} - 9 is equivalent to

[1] (x ^{2} - 3)(x ^{2} - 3)
[2] (x ^{2} + 3)(x ^{2} - 3)
[3] (x ^{2} + 3)(x ^{2} + 3)
[4] (x ^{2} + 1)(x ^{2} - 9)

15. A two-way frequency table is shown at the right. What is the marginal relative frequency of the number of students ages 14-17 ?

[1] 36%
[2] 40%
[3] 47%
[4] 60%
16. Which graph represents the function on the interval ?

[1]
[2]
[3]
[4]
17. What is the average rate of change between f (1) and f (5) in the function f (x ) = x ^{2} - x - 6 ?

[1] -6
[2] -5
[3] 5
[4] 14
18. The expression is equivalent to

[1]
[2]
[3]
[4]
19. Which ordered pair is not in the solution set of the system y < 2x + 4 and y > (½)x - 3 ?

[1] (3,2)
[2] (0,0)
[3] (-1,-3)
[4] (1,6)
20. The volume of a cone is , where r is the radius and h is the height. Which formula may be used to find the height?

[1]
[2]
[3]
[4]
21. Function g (x ) is defined as: . Find g (-2).

[1] 1
[2] 6
[3] -4
[4] 4
22. A model rocket is launched vertically from a platform 64 feet above the ground. The height the rocket reaches during the flight is modeled by the equation s (t ) = -16t ^{2} + 48t + 64, where s is the height of the rocket and t is the time in seconds since the launch. After how many seconds will the rocket hit the ground?

[1] 1
[2] 2
[3] 3
[4] 4
23. What is the range of the function y = | x | - 3 ?

[1] { y | y > -3 }
[2] { x | x > 3 }
[3] { y | y > 0 }
[4] All Reals

24. Which of the following statements is true regarding the parabolic graph at the right?

[1] it is increasing from -2 to ∞

[2] it is increasing from -4 to ∞

[3] it is increasing from - ∞ to -2

[4] it is increasing from - ∞ to -4