Question

2(x + 7 ) - 2x+ 14 is an example of the ____ property.

A) Distributive
B) Commutative
C) Associative
D) Identity

Answer 1

The given expression, 2(x + 7) - 2x + 14, can be simplified using the distributive property to 28.

Therefore, the correct answer is (c) Distributive property.

Step-by-step explanation:

The given expression, 2(x + 7) - 2x + 14, can be simplified using the distributive property. The distributive property states that a(b + c) = ab + ac. Applying this to the expression:

1. Step 1: Multiply 2 by both terms inside the parentheses: 2(x + 7) = 2x + 14.
2. Step 2: Combine like terms: 2x + 14 - 2x + 14 = 28.

Therefore, the given expression simplifies to 28. Thus, the correct answer is A) Distributive property.

The expression 2(x + 7) - 2x + 14 is an example of the distributive property. This property allows you to multiply a single term by each of the terms in a binomial separately and then add the results.

For example, using the distributive property, we can expand the expression as follows: 2(x) + 2(7) which simplifies to 2x + 14. Adding -2x + 14 to this expression doesn't alter the property being demonstrated.

Therefore, the correct answer to the student's question is (c) Distributive property.