Fill in the Blank with Distributive Property: 3(n + 7) = ? + 21 - Math Solver AI

$Math Problem$

Mathematics Grade 7

Question Content

Use the distributive property to complete the statement: 3(n + 7) = ____ + 21

Correct Answer

3n

Detailed Solution Steps

1
Step 1: Recall the distributive property: c(a+b) = ca + cb.
2
Step 2: Apply the property to 3(n+7): multiply 3 by each term inside the parentheses. 3×n = 3n, 3×7 = 21.
3
Step 3: Fill in the blank with 3n.

Knowledge Points Involved

1

Distributive Property of Multiplication Over Addition

This property states that for any numbers a, b, c, a(b + c) = ab + ac. It allows expanding expressions by distributing the multiplier to each term inside the parentheses, used to simplify algebraic expressions and solve equations.

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