1. Determine which of the following is not a real number.
A) –71/2 B) (–71/2) C) (–7)1/2 D) –(71/2) E) None of the above
2. Decide whether the equation has as its graph a line, a parabola, a circle, or none of these.
–5x + 3y = 15
A) line B) parabola C) circle D) none of these
3. Which of the following is a solution to the equation –4x + 3y – z = 4?
A) (1, 0, 0) D) (–3, –2, 2)
B) (–1, –1,1) E) None of the above
C) (0, 2, 1)
4. Use the values a = 4, b = 0, c = 0, d = 3, e = –1, and f = –2 to rewrite the standard from for a conic section
ax2 + by2 + cxy + dx + ey + f = 0 into standard quadratic form.
A) y = –4x2 – 3x + 2 D) y = –2 + 3x + 4x2
B) x = 4y2 + 3y – 2 E) None of the above
C) y = 4x2 + 3x – 2
5. To solve the equation
3x + 5 = 2x – 7 first rewrite the equation as f(x) = g(x) where
A) f(x) = x, g(x) = –12 D) f(x) = x, g(x) = 12
B) f(x) = 3x + 5, g(x) = 2x – 7 E) None of the above
C) f(x) = x + 12 , g(x) = 0
6. Determine the x intercepts and the y intercepts of the ellipse.
4x2 + 25y2 = 100
A) x intercepts: (±2, 0); y intercepts: (0, ±5)
B) x intercepts: (±5, 0); y intercepts: (0, ±2)
C) x intercepts: (±25, 0); y intercepts: (0, ±4)
D) x intercept: (5, 0); y intercept: (0, 2)
7. Solve the linear equation by writing it as the functional equality f(x) = g(x).
–7x + 1 = –5x – 5
A) {(3, –20)} B) {–20} C) {3} D) {(6, –41)} E) None of the above
8. Decide whether the equation has as its graph a line, a parabola, a circle, or none of these.
y = –2x2 + 8x – 3
A) line B) parabola C) circle D) none of these
9. Is the following binomial a difference of squares?
9a2 – 8b2
A) No B) Yes
10. Factor completely. 5a2 – 125
A) 5(a – 5)2 B) 5a(a – 25) C) (5a – 1)(a – 125) D) 5(a + 5)(a – 5)
11. Evaluate. 8 + 2 • 5 – 24 ÷ 6 • 2
A) 42 B) 48 C) 16 D) 10
12. Multiply.
3s2 ? 5s7
A) 15s14 B) 15s9 C) 8s14 D) 8s9
13. Subtract 5y2 + 2y – 9 from 10y2 + 3y + 5.
A) 5y2 + y + 14 B) 5y2 + 5y – 4 C) 5y2 + y – 4 D) 5y2 + 5y + 14
14. Are the following lines parallel, perpendicular, or neither?
L1 with equation x – 6y = 24
L2 with equation 6x + y = 6
A) Perpendicular B) Neither C) Parallel
15. Solve. 4(x + 2) – 3x = x – 6
A) 1 B) Identity C) No solution D) 0
16. Which of the following is not an expression?
A) r – ÷ z B) z + r + 8 C) r(z + 10) D) z•r – 9
17. Identify the rate in the statment " 427 is 61% of 700."
A) 61% B) 700 C) 427
18. Is the following trinomial a perfect square?
x2 + 4x – 4
A) No B) Yes
19. Carla invested $28,000, part at 14% and part at 9%. If the total interest at the end of the year is $3,370, how much did she invest at 14%?
A) $17,000 B) $16,000 C) $18,000 D) $11,000
20. The length of a rectangle is 8 in. more than twice its width. If the perimeter of the rectangle is 64 in., find the width of the rectangle.
A) 10 in. B) 7 in. C) 8 in. D) 9 in.
21. Evaluate (assume x ? 0).
5x0
A) 5x B) 0 C) 1 D) 5
22. Factor completely. 16x2 + 24xy + 9y2
A) (4x + y)(4x + 9y) C) (4x + 3y)2
B) (16x + 3y)(x + 3y) D) (4x – 3y)(4x + 3y)
23. Simplify. (a4b6)5
A) a4b30 B) a20b30 C) a9b11 D) a4b11
24. An employee who produces x units per hour earns an hourly wage of y = 0.55x + 8 (in dollars). Find the hourly wage for an employee who produces 9 units per hour.
A) $12.65 B) $12.95 C) $13.35 D) $13.45
25. Convert 0.39 to a percent.
A) 0.0039% B) 0.39% C) 3.9% D) 39%