Mrs.D Math · 6th Grade

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The Distributive Property
a(b + c) = ab + ac
Distribute → Combine
Like Terms
📝 Expressions
✖ Distribute
🎯 Like Terms
✖ Distribute
🎲 Mixed
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📚 The Distributive Property

The Rule

a(b + c) = ab + ac

Multiply the number outside the parentheses by every term inside.

1
Multiply the first term inside by the number outside.
3(x + 4) → 3 × x = 3x
2
Multiply the second term inside by the number outside.
3(x + 4) → 3 × 4 = 12
3
Keep the sign between the terms the same.
3(x + 4) = 3x + 12

Watch the Negatives

When the number outside is negative, every term inside flips its sign.

1
-2(x + 4) → -2 × x = -2x
and -2 × 4 = -8
2
Final answer:
-2(x + 4) = -2x - 8

Worked Example: Distribute + Combine Like Terms

Simplify: 3(x + 2) + 4x

1
Distribute first: 3(x + 2) = 3x + 6
2
Rewrite: 3x + 6 + 4x
3
Combine the like terms (3x and 4x): 7x + 6
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