Algebra

If a and b are integers, and b > 0, does a − 1 b + 1 = a b a − 1 b + 1 = a b ? (1) a = b − 4 (2) a = –b

If r and s are the roots of the equation x^2 + bx + c = 0, where b and c are constants, is rs < 0 ? (1) b < 0 (2) c < 0

If w + z = 28, what is the value of wz (1) w and z are positive integers (2) w and z are consecutive odd integers (1) w and z are positive integers (2) w and z are consecutive odd integers

What is the value of t? (1) s + t = 6 + s (2) t^3 = 216

Which of the positive numbers x or y is greater? (1) y = 2x (2) 2x + 5y = 12

What number is 6 more than x + y ? (1) y is 3 less than x. (2) y is twice x.

If x = 2t and y = t/3, what is the value of x^2 – y^2? (1) t^2 – 3 = 6 (2) t^3 = −27

Is x = y ? (1) 2 x 3 − y 3 = 1 3 2 x 3 − y 3 = 1 3 (2) x 4 − y 4 = 0 x 4 − y 4 = 0

What is the value of w + q ? (1) 3w=3-3q (2) 5w +5q = 5

Is x = 1/y ? (1) xy = 1 (2) 1/(xy) = 1

What is the value of integer n? (1) n(n+1) =6 (2) 2^(2n) = 16

Is rst = 1 ? (1) rs = 1 (2) st = 1

What is the value of n in the equation: - 25 + 19 + n = s ? (1) s = 2 (2) n/s = 4

S = 2 n 1 x + 2 3 x S = 2 n 1 x + 2 3 x In the expression above, if xn ≠ 0, what is the value of S? (1) x = 2n (2) n = 1/2

What is the value of b + c ? (1) ab + cd + ac + bd = 6 (2) a + d = 4

x-4=z y-x=8 8-z=t For the system of equations given, what is the value of z? (1) x = 7 (2) t = 5

What is the value of x − 1 ? (1) x + 1 = 3 (2) x − 1 < 3

If x = 2y, what is the value of xy ? (1) x > Y (2) 3x - 2y = 14

Are there exactly 3 distinct symbols used to create the code words in language Q? (1) The set of all code words in language Q is the set of all possible distinct horizontal arrangements of one or more symbols, with no repetition. (2) There are exactly 15 code words in language Q

How many students are enrolled in the Groveville Public Schools? (1) There are 30 students per classroom in the Groveville Public Schools. (2) The student-teacher ratio is 20 to 1 in the Groveville Public Schools