1. If x = -5 and y = (x+3)(x-3) then the value of y is
(A) 64
(B) 16
(C) 9
(D) -9
(E) -16
2. If 9x - 4 = 32 then what is x-1?
(A) 5
(B) 4
(C) 3
(D) -4
(E) -5
3. If (3)(3)(3) = (9)(9)/p then p must = ?
(A) 1/3
(B) 1
(C) 3
(D) 1/9
(E) 9
4. We write e to the f power by e^f. Find the value of a^(bc) if a = 2,
b=3 and c = 2.
(A) 8
(B) 16
(C) 32
(D) 64
(E) 128
5. We write sqrt(y) to mean the positive square root of y. We write y^2
to mean the square of y.
In the real number system, which of the following cannot be a value for x
in the statement: sqrt ( (4 - x)^2 ) = 4 - x ?
(A) -5
(B) -4
(C) 0
(D) 4
(E) 5
6. If t+p=2 then t-p =?
(A) 1
(B) 0
(C) -3
(D) 1/2
(E) cannot be determined
7. If a and b are positive integers and a^2 - b^2 = 7, then a+b must equal
(A) 7
(B) 8
(C) 9
(D) 10
(E) 16
8. If y = x - 5, what is x + 10 in terms of y?
(A) y -10
(B) y - 5
(C) y + 5
(D) y + 10
(E) y + 15
9. If xy = 1 and (x+y)^2 = 8 then x^2 + y^2 = ?
(A) 2
(B) 4
(C) 6
(D) 8
(E) 10
10. If x is an odd integer, which of the following must be odd?
(A) 2x
(B) x(x+1)
(C)x^3 + x^5
(D) x+2
(E) x+1
11. The numbers y and z are such that for all values of m,
m^2 + 11 m + 30 = (m + y)(m+z). What is the value of ( y + z) ?
(A) 5
(B) 6
(C) 11
(D) 30
(E) cannot be determined
12. If (2x + y) = 10 then (6x + 3 y ) = ?
(A) 5
(B) 6
(C) 11
(D) 30
(E) cannot be determined
13. If B^2 = 4 A C then (B/2)^2 = ?
(A) 2 A C
(B) A C
(C) A C / 2
(D) A C / 4
(E) A C / 16
14. Let x be a positive integer. Let y = 2x+1 and z = x(x+1).
Which of the following is true?
(A) x is odd
(B) (y-x) is odd
(C) z is odd
(D) y is even
(E) z is even
15. Which of the points described below have the product of their x and y
coordinates equal a positive number?
(A) point on the x-axis
(B) point on the y-axis
(C) point in the 3rd quadrant
(D) point in the 2nd quadrant
(E) point in the 4th quadrant
16. Suppose x, y and z are positive integers and that x < y < z.
Which of the following must be true?
(A) y - x < z - y
(B) y^2 < x z
(C) x + y < z
(D) z = x + 2
(E) x z > y
17. If x and y are integers, and 2 < x < 10 and 11 < y < 19, what is the
greatest possible value of y/x?
(A) 1.2
(B) 2
(C) 6
(D) 9
(E) 9.5
18. When is (x^2 y z + x y z^2)/(x y z) - (x + Z) = 0 ?
(A) only when y = x + z
(B) only when x^2 > z
(C) when none of x, y, z are = 0
(D) only when x = y = z = 1
(E) only when x + z = 0
19. If 1/2 + 1/3 + 1/x = 1, then x = ?
(A) 4
(B) 5
(C) 6
(D) 8
(E) 9
20. Sam has a fruit drink that is 10% water. He adds two liters of water.
His fruit drink is now 25% water. How many liters of fruit drink does he
have?
(A) 6
(B) 8
(C) 10
(D) 12
(E) 14
21. Ernie bought some apples from a grocer for $5.00. Sam bought 20% more
apples than Ernie at 20% less per apple than Ernie. How much did Sam pay
for the apples he bought?
(A) $4.80
(B) $4.90
(C) $5.00
(D) $5.20
(E) cannot be determined
22. Sam has $2000 to invest. He puts part of it into a savings account
that pays 7% interest. The rest he puts into a special account that pays
12% interest. From the two investments the total interest at the end of
the year is $200. How much did he put into the savings account?
(A) $ 400
(B) $ 600
(C) $ 800
(D) $ 1000
(E) $ 1200
23. Sam bought p pencils. It cost him c cents. At the same price how
much would it cost for Sam to buy n pencils?
(A) (pc/n) cents
(B) (cn/p) cents
(C) (np/c) cents
(D) ([pc]/[np]) cents
(E) (npc) cents
24. Sam bought a kitchen table at a 40% discount. He paid $360 for the
table. What was the original price of the table?
(A) $ 400
(B) $ 500
(C) $ 504
(D) $ 600
(E) $ 700
25. A line segment is drawn from the point (3,5) to the point (7,1). What
is the midpoint of that line segment?
(A) (4,4)
(B) (5,3)
(C) (2,4)
(D) (1,7)
(E) (4,2)