To evaluate this expression, we need to follow the order of operations: parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).
1/2 + 3 x 2^2 - 1
= 1/2 + 3 x 4 - 1 (Using the exponent rule that 2^2 = 4)
= 1/2 + 12 - 1 (Performing the multiplication)
= 1/2 + 12/1 - 1/1 (Rewriting whole numbers as fractions)
= 1/2 + 24/2 - 2/2 (Finding a common denominator, which is 2)
= (1 + 24 - 2)/2 (Adding the fractions)
= 23/2 (Adding the whole numbers and simplifying the fraction)
Therefore, the answer is 23/2, which is equivalent to 11 1/2.
The correct answer is B. 11 1/2.
Evaluate: 1/2 + 3 x 2 to the power of 2 - 1.
A. 35 1/2
B. 11 1/2
C. 1
D. 8.75
1 answer