Question

Write an expression that is equivalent to 3(2x + 5).

Options:
A) 6x + 5
B) 6x - 15
C) 6x + 15
D) 6x

Answer 1

To find an expression equivalent to 3(2x + 5), multiply the 3 by each term inside the parentheses, resulting in 6x + 15, which is option C.

Step-by-step explanation:

The expression 3(2x + 5) is asking us to apply the distributive property of multiplication over addition. This means that we multiply 3 with each term inside the parenthesis (2x and 5).

Here's the step-by-step explanation:

1. Multiply 3 with the first term inside the parenthesis: 3 * 2x = 6x.
2. Multiply 3 with the second term inside the parenthesis: 3 * 5 = 15.
3. The two results from steps 1 and 2 are then added together to get the final expression: 6x + 15.

Therefore, the expression equivalent to 3(2x + 5) is 6x + 15, which corresponds to option C.