If 3x/2=y, and 2−3y=y+2 , then x =
A. -3B. -2C. 0D. 2E. 3
If x + y + z = 2, and x + 2y + 3z = 6 and y ≠ 0, then what is the value of x/y?
(A) −1/2(B) −1/3(C) −1/6(D) 1/3(E) 1/2
What is the least integral value of k for which the equation x^2−2(k+2)x+12+k^2=0 has two different real roots ?
A. 0B. 1C. 2D. 3E. 4
In a farm, the ratio of pigs to chickens is 13 to 28. When 15 pigs were added to the farm, the ratio of pigs to chickens became 4 to 7. What was the original total number of pigs and chickens in the farm?
(A) 200(B) 205(C) 210(D) 215(E) 220
What is the remainder when 4^96 is divided by 6?
For a certain integer x, the units digit of (x+2)^2 is 9. Which of the following could be the units digit of |x+1|?
A. 0B. 3C. 4D. 5E. 7
If x + 1/x= 2 , what is the value of x^9+1/x^9
A. -2B. -1C. 1D. 2E. 4
x - y = 32x = 2y + 6
The system of equations above has how many solutions?
(A) None(B) Exactly one(C) Exactly two(D) Exactly three(E) Infinitely many
How many real roots does x^4 - 2x^2 + 1 = 0 have?
How many real roots does the equation x^2y+16xy+64y=0, Have if y < 0?
A. 0B. 1C. 2D. 3E. Infinite
