Complete the Expression with Distributive Property: 2(15 + q) = ? + 2q - Math Solver AI

$Math Problem$

Mathematics Grade 7

Question Content

Use the distributive property to complete the statement: 2(15 + q) = ____ + 2q

Correct Answer

30

Detailed Solution Steps

1
Step 1: Recall the distributive property: c(a+b) = ca + cb.
2
Step 2: Apply the property to 2(15+q): multiply 2 by each term inside the parentheses. 2×15 = 30, 2×q = 2q.
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Step 3: Fill in the blank with 30.

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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