Question

solve the equation 4(p + 5) = 21.
what property can you use to rewrite the equation without parentheses?
the distributive property
the commutative property
the associative property

Explanation:

To rewrite \( 4(p + 5) \) without parentheses, we use the distributive property. The distributive property states that \( a(b + c)=ab + ac \). Applying this to \( 4(p + 5) \), we get \( 4\times p+4\times5 = 4p + 20 \). The commutative property deals with the order of addition or multiplication (e.g., \( a + b=b + a \)), and the associative property deals with the grouping of addition or multiplication (e.g., \( (a + b)+c=a+(b + c) \)), neither of which are used to remove parentheses in this case.

Answer:

A. The distributive property