Which expression is equivalent to the result of applying the distributive property to 3 × 2 + 7 × 2?

Prepare for the Praxis Elementary Education Test Math section. Study with interactive questions and explanations. Prepare confidently for your exam!

Applying the distributive property involves taking a common factor from terms in an expression and factoring it out. In the expression 3 × 2 + 7 × 2, both terms share the common factor of 2. By factoring out the 2, you can represent the expression as (3 + 7) × 2.

This form emphasizes that you first add the coefficients (3 and 7) and then multiply the sum by 2, illustrating how the distributive property works—distributing the multiplication over addition. Therefore, stating the expression as (3 + 7) × 2 is an accurate representation of the original expression after using the distributive property.

The evaluated result of the expression would lead to 10 × 2, resulting in 20, while each individual term on the left would also yield the same outcome, confirming the equivalency.

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