If a=7 and b=−7, what is the value of 2a−2b+b^2?
(A) -49(B) 21(C) 49(D) 63(E) 77
If x and y are positive integers such that x+y=750, what is the difference between the maximum and minimum possible value of HCF(x,y)?
(A) 750(B) 375(C) 374(D) 373(E) 148
If x^4 + y^4 = 100, then the greatest possible value of x is between
A. 0 and 3B. 3 and 6C. 6 and 9D. 9 and 12E. 12 and 15
If the average (arithmetic mean) of x, y, and z is 7x and x ≠ 0, what is the ratio of x to the sum of y and z?
(A) 1:21(B) 1:20(C) 1:6(D) 6:1(E) 20:1
If x+y =−3 And x^2+y^2=12, what is the value of 2xy?A. -6B. -3C. -1D. 0E. 3
Which of the following fractions is the largest?
A. 5/6
B. 11/14
C. 12/15
D. 17/21
E. 29/35
If (x+1)(y+1) ≠0, y=1/x+1, and z=1/y+1, which of the following is equivalent to z in terms of x?
A. 1
B. x + 1
C. x + 2
D. (x + 1)/(x + 2)
E. (x + 2)/(x + 1)
If x+y=24 and 2x−7y=15, which of the following is equal to 13?
A. x−y
B. x+y
C. x−2y
D. 2x+y
E. 2x− y
If x is an integer and y = –3x + 7, what is the least value of x for which y is less than 1?
(A) 1(B) 2(C) 3(D) 4(E) 5
What is the sum of all solutions to the equation |x + 3| = 4 ?
A. -8B. -6C. 4D. 8E. 9
