Asked by latoyria oliphant on May 13, 2024

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Verified

Use the Distributive Property to rewrite the expression 7(x+4) 7 ( x + 4 ) 7(x+4) .

A) 8x+288 x + 288x+28
B) 7x+117 x + 117x+11
C) 2(x+5) 2 ( x + 5 ) 2(x+5)
D) 5(x+2) 5 ( x + 2 ) 5(x+2)
E) 7x+287 x + 287x+28

Distributive Property

A fundamental property of algebra stating that a(b + c) = ab + ac, allowing the distribution of multiplication over addition or subtraction.

  • Conduct basic calculations, including the adoption of the distributive property to refine expressions.
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Verified Answer

AA
Angie AbgaryanMay 17, 2024
Final Answer :
E
Explanation :
Using the Distributive Property, we can multiply 7 by both x and 4 separately:
7(x+4)=7⋅x+7⋅4=7x+28\begin{align*}7(x+4) &= 7 \cdot x + 7 \cdot 4\\&=7x + 28\end{align*}7(x+4)=7x+74=7x+28
Therefore, the correct choice is E.