Which expression is equivalent to 2(2x + 7)?
A 4x - 14
B 4x + 14
C 14x + 4
D 8x + 14
The expression 2(2x + 7) can be simplified by distributing the 2 to both terms inside the parentheses.
2(2x + 7) = 2*2x + 2*7
= 4x + 14
So the equivalent expression is 4x + 14.
The correct answer is B. 4x + 14.
To find the expression that is equivalent to 2(2x + 7), you need to apply the distributive property of multiplication over addition. This property states that when you multiply a number or expression by a sum of two terms, you distribute the multiplication to each term inside the parentheses.
In this case, you need to distribute the 2 to both terms inside the parentheses: 2 * 2x and 2 * 7.
When you multiply 2 by 2x, you get 4x.
When you multiply 2 by 7, you get 14.
Therefore, the expression equivalent to 2(2x + 7) is 4x + 14, which corresponds to option B.
To find the expression that is equivalent to 2(2x + 7), we can distribute the 2 to both the terms inside the parentheses.
2(2x + 7) = 2 * 2x + 2 * 7
This simplifies to:
4x + 14
Therefore, the expression that is equivalent to 2(2x + 7) is B) 4x + 14.