1. Quantity A = The time it takes to drive 110 miles at 65 miles per hour Quantity B = The time it takes to drive 130 miles at 55 miles per hour   Quantity A is greater   Quantity B is greater   The two quantities are equal   The relationship cannot be determined from the information given   Hint Hint       2. For any positive integer n, S(n) is defined as the sum of all the positive integers < n and E(n) is defined as the sum of all the positive even integers < n. Quantity A = S(12) Quantity B = E(25)/2   Quantity A is greater   Quantity B is greater   The two quantities are equal   The relationship cannot be determined from the information given   Hint       3. 2y + 3z = 27 3z − 2y = 27 Quantity A = z Quantity B = 9   Quantity A is greater   Quantity B is greater   The two quantities are equal   The relationship cannot be determined from the information given   Hint       4. y > 0 Quantity A = y Quantity B = The positive square root of y   Quantity A is greater   Quantity B is greater   The two quantities are equal   The relationship cannot be determined from the information given   Hint       5. Line A passes through (1,4) and (3,2). Line B is perpendicular to line A. Quantity A = The slope of line A Quantity B = The slope of line B   Quantity A is greater   Quantity B is greater   The two quantities are equal   The relationship cannot be determined from the information given   Hint       6. Diagram is illustrative and is not drawn to scale. The total area of the four identical small circles equals the area of the colored region. Quantity A = Radius of the large circle Quantity B = Diameter of the small circle   Quantity A is greater   Quantity B is greater   The two quantities are equal   The relationship cannot be determined from the information given   Hint       7. Quantity A = The area of a rectangle whose perimeter is 24 Quantity B = The area of a rectangle whose perimeter is 36   Quantity A is greater   Quantity B is greater   The two quantities are equal   The relationship cannot be determined from the information given   Hint