1.
2^(5/2)-2^(3/2) a. 2^(1/2) b. 2 c. 2^(3/2) d. 2^(5/3) e. 2^2
7. If the two square regions in the figures below have the respective areas indicated in square yards, how many yards of fencing are needed to enclose the two regions?
1 1
2. If a b and x + a = b , then x = A.
1 b
125 5 A. 4130 B. 2010 C. 245
1 a
B. b a C. ab D. E.
ab ab ab ab 1
3. If 3x2 2 x + 7 = 0, then x 3 = 20 A. 9 B. C. D. E.
7 9 7 -9 8 -9 20 -9
D. 100 E. 1045 8. If log10x = 3, then x = A. 310 B. 1,000 C. 30 D. 3
3 10
4. The graph of which of the following equations is a straight line parallel to the graph of y = 2 x ? A. 4 x y = 4 B. 2 x 2y = 2 C. 2 x y = 4 D. 2 x + y = 2 E. x 2y = 4 5. An equation of the line that contains the origin and the point (1, 2) is A. y = 2 x B. 2y = x C. y = x 1 D. y = 2 x +1 E. 2 = x 1 6. An apartment building contains 12 units consisting of one- and two-bedroom apartments that rent for $360 and $450 per month, respectively. When all units are rented, the total monthly rental is $4,950. What is the number of twobedroom apartments? A. 3 B. 4 C. 5 D. 6 E. 7
y
E. 10 9. If f(x) = 2 x + 1 and g(x) = A. x B. 4 x + 2 C. x 1 D. E.
4x + 2 5x + 1 2 (2x + 1)(x 1) 2 1 x1 x1 2
, then f(g(x)) =
10. If is an acute angle and sin = 2 , then cos = A. -1 B. 0 C.
1 2 3
D. 2 E. 2 11. 5y(2y 3) + (2y 3) = A. (5y + 1) (2y + 3) B. (5y + 1) (2y 3) C. (5y 1) (2y + 3) D. (5y 1) (2y 3) E. 10y (2y 3) 12. For what real numbers x is x2 6x + 9 negative? A. 3 < x < 3 B. x < 3 or x > 3 C. x = 3 or x = 3 D. 0 < x < 6 E. For no real numbers x
13. A root of x2 5x 1 = 0 is A. B. C.
1 29 2 5 17 2 1 29 2
16. One ordering of the letters T, U, V and W from left to right is UTVW. What is the total number of orderings of these letters from left to right, including UTVW ? A. 8 B. 12 C. 16 D. 20 E. 24 17. If f x 3x 1 and f 1 is the inverse of f, what is the 2 value of f A. B. 1 3 2
1
5 17 D. 2
E.
5 29 2
3 ?
14. In the xy -plane, the graph of y = x2 and the circle with center (0,1) and radius 3 have how many points of intersection? A. None B. One C. Two D. Three E. More than three 15.
3 C. 1 D. 2 E. 7 3
18. The sequence an is defined by a0 1 and an 1 2an 2 for n 0, 1, 2, ... . What is the value of a3 ? A. B. C. D. E. 8 10 16 20 22
If an equation of the linear function in the figure above is y = mx + b, then m = A. B.
r s
r s
C. rs D. r E. -s
19. From 5 employees at a company, a group of 3 employees will be chosen to work on a project. How many different groups of 3 employees can be chosen? A. 3 B. 5 C. 6 D. 10 E. 15 20. which of the following is the sum of the solutions for (x2 + 2 3x) -8(x2+3x)-20=0? a. -6 b.4 c. 6 d. 8 21. If $2500 is invested in the account that pays interest compunded continuously at a rate of 4%, how long will it take to double the investment? Hint: A=Pert a. 2.8 years b. 13.0 years c. 14.2 years d. 17.3 years
22. Find the slope of the line containing the pair of points: (5,2) and (3,7) a. -5/2 b. -8/5 c. -5/8 d. 9/2 23. Solve the formula for the specified variab le: A= P+Prt for P. a. P=A-P rt b. P=A/(1+rt) c. P=A(1+rt) d. P=A/2rt 24. Solve for the follwing equation for x. If there are two solutions, state their sum. If there is one solution, state the answer. |2x+3|=17 a. -3 b. 0 c. 3 d. 7 25. When the system of linear equations is solved, what is the x-value of the solution? 6x+7y=-10 -2x-8y=-8 a. -26/17 b. -34/5 c. -9/2 d. -4
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
C E E C A E C B A D B E E C A E E E D A D C B D D
