Understanding Word Problems Involving the Distributive Property
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Beginner
Start here! Easy to understand
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Beginner Explanation
At the easy level, we introduce the distributive property with simple numbers. The property states that $x(y + z) = xy + xz$. For example, $3(4 + 2) = 3 \times 4 + 3 \times 2 = 12 + 6 = 18$. This shows how to distribute multiplication over addition.
Practice Problems
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1
Quick Quiz
Single Choice Quiz
Beginner
If $x = 3$ and $y = 4$, what is $x(y + 2)$?
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2
Real-World Problem
Question Exercise
Intermediate
Teenager Scenario
You have $x$ apples, each costing $y$ dollars. If you buy 5 more apples, what's the total cost? Express your answer in terms of $x$ and $y$.
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3
Thinking Challenge
Thinking Exercise
Intermediate
Think About This
Calculate the expression $2(a + b + c)$ when $a = 1$, $b = 2$, and $c = 3$
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4
Challenge Quiz
Single Choice Quiz
Advanced
Simplify $3(x + 4) + 2(y + 5)$
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