Algebra Practice Test

Question: 1 / 400

Which of the following expressions is equivalent to 2(3x + 4)?

6x + 8

To find the expression equivalent to \(2(3x + 4)\), you need to use the distributive property of multiplication over addition. This property states that \( a(b + c) = ab + ac \).

Applying the distributive property to \(2(3x + 4)\):

1. Multiply \(2\) by \(3x\):

\[

2 \cdot 3x = 6x

\]

2. Multiply \(2\) by \(4\):

\[

2 \cdot 4 = 8

\]

3. Now, combine these products:

\[

6x + 8

\]

This shows that \(2(3x + 4)\) simplifies to \(6x + 8\), making it the correct expression equivalent to the original one. The choice of \(6x + 8\) means that it maintains the structure and value of the original expression after distribution.

Other expressions, such as \(3x + 8\), \(5x + 4\), and \(4x + 6\), do not correctly represent the results of this multiplication and therefore

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3x + 8

5x + 4

4x + 6

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