Algebra

If 2x + 5y =8 and 3x = 2y, what is the value of 2x + y?

If x ≠ 0, 2x = 5y, and 3z = 7x, what is the ratio of z to y?

If (a + b) = 4, and ab = 7/4, what is the value of a^2 – b^2?

If r ☉ s = r s + r + s , then for what value of s is r ☉ s equal to r for all values of r ?

If x and y are integers and x y = 5 , then (x + y) 2 =

If x ≠ 3 and (x 2 − 9) 2 y = (x − 3) 4 , then in terms of y , x = ?

x 2 − (x 2) 2 =

If x y = 2 , then (x − y) y =

The (x , y) pair (− 1 , 1) satisfies which of the following equations? I. 2 x 3 − y 2 = − 3 II. 2 x 2 − y 3 = 1 III. x 2 − 2 y 3 = − 1

The cost of 10 pounds of apples and 2 pounds of grapes was $12. What was the cost per pound of apples? (1) The cost per pound of grapes was $2. (2) The cost of 2 pounds of apples was less than the cost of 1 pound of grapes.

Three children inherited a total of X dollars. If the oldest child inherited $7,000morethantheyoungestchild,andtheyoungestchildinherited$9,000 less than the middle child, what is the value of X ? (1) The middle child inherited $27,000. (2) The youngest child and the middle child together inherited a total of $45,000.

If x is an integer, is 9 x + 9 − x = b 9 x + 9 − x = b ? (1) 3 x + 3 − x = b + 2 − − − − √ 3 x + 3 − x = b + 2 (2) x > 0

If x and y are positive integers, what is the value of x √ + y √ x + y ? (1) x + y = 15 (2) x y − − √ = 6 x y = 6

If y ≠2xz, what is the value of (2xz + yz)/(2xz – y)? (1) 2x + y = 3 (2) z = 2

If a and b are constants, is the expression x + b x + a − − − − √ x + b x + a defined for x = –2 ? (1) a = 5 (2) b = 6

What is the value of x if x^3 < x^2? (1) –2< x < 2 (2) x is an integer greater than –2.

If m and n are integers, what is the value of m + n ? (1) (x + m)(x + n) = x^2 + 5x + mn and x ≠ 0. (2) mn = 4

If 2^(x + y) = 4^8, what is the value of y? (1) x^2 = 81 (2) x − y = 2

Is x an integer? (1) x 3 = 8 x 3 = 8 (2) x = 4 √ x = 4

If a + b + c = 12, what is the value of b ? (1) a + b = 8 (2) b + c = 6