GMAT Functions: If x=-5/8 and y=-1/2, what is the value…
Question
If x=-5/8 and y=-1/2, what is the value of the expression -2 x-y^2?
- -3/2
- -1
- 1
- 3/2
- 7/4
Topics: function variable substitution, fractions, calculations, exponents
Solution
Step 1
We first note the values of x and y as given.
x = -5/8 y = -1/2
Step 2
We substitute these values into the expression.
-2x - y^2 = -2 × (-5/8) - (-1/2)^2
Step 3
We simplify the product in the first term and reduce the fraction.
-2 × (-5/8) = (-2×-5)/8 = 2 × 52 × 4 = 5/4
Step 4
We simplify the square of the fraction in the second term.
(-1/2)^2 = ((-1)^2)/(2^2) = 1/4
Step 5
We subtract the simplified terms using a common denominator.
5/4 - 1/4 = 4/4 = 1
Answer
1 (C)
