Question

use properties of operations to rewrite 12(4 + x) as an equivalent expression.
2 of 4 questions
distribute the 12 to the terms inside the parentheses. rewrite the expression as
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the equivalent expression is
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using the commutative property of addition, you could also rewrite the expression as
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submit

Explanation:

Step1: Apply the distributive property

The distributive property states that \( a(b + c)=ab + ac \). For the expression \( 12(4 + x) \), we distribute 12 to both 4 and \( x \).
So, \( 12\times4+12\times x \)

Step2: Calculate \( 12\times4 \)

\( 12\times4 = 48 \), so the expression becomes \( 48 + 12x \)

Step3: Apply the commutative property of addition

The commutative property of addition states that \( a + b=b + a \). So, we can rewrite \( 48+12x \) as \( 12x + 48 \)

Answer:

• After distributing: \( 48 + 12x \)
• Using commutative property: \( 12x + 48 \)