2. 2(9 + 3) (1 point)
A(2 × 9) − (2 × 3)
B(2 × 9) + (9 × 3)
C(2 × 9) + 3
D(2 × 9) + (2 × 3)
To solve the expression 2(9 + 3), you need to follow the order of operations, also known as PEMDAS. PEMDAS stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
In this case, you have parentheses, so you need to perform the operation inside the parentheses first.
9 + 3 equals 12.
Now that you have simplified the expression inside the parentheses, you can multiply it by 2.
2 multiplied by 12 equals 24.
So, 2(9 + 3) simplifies to 24.
Now, let's analyze the answer choices:
A) (2 × 9) − (2 × 3) = 18 - 6 = 12
B) (2 × 9) + (9 × 3) = 18 + 27 = 45
C) (2 × 9) + 3 = 18 + 3 = 21
D) (2 × 9) + (2 × 3) = 18 + 6 = 24
Out of the answer choices, only option D yields the correct result of 24, which is the solution to the expression 2(9 + 3). Therefore, option D is the correct answer.