DISTRIBUTE & FACTOR EXPRESSIONS

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What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a number by a sum by distributing the multiplication to each addend.

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What is the Associative Property?

Back

The Associative Property states that the way numbers are grouped in addition or multiplication does not change their sum or product. For example, (a + b) + c = a + (b + c).

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What is the Commutative Property?

Back

The Commutative Property states that the order of numbers does not affect their sum or product. For example, a + b = b + a and ab = ba.

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What is the Symmetric Property?

Back

The Symmetric Property states that if a = b, then b = a. It shows that equality is a two-way relationship.

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What is the Transitive Property?

Back

The Transitive Property states that if a = b and b = c, then a = c. It allows for the substitution of equal values.

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What is the Reflexive Property?

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The Reflexive Property states that any number is equal to itself. For any real number a, a = a.

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How do you apply the Distributive Property?

Back

To apply the Distributive Property, multiply the term outside the parentheses by each term inside the parentheses. For example, 3(4 + 5) = 3*4 + 3*5 = 12 + 15 = 27.

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What is an example of using the Distributive Property?

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Example: 2(3 + 4) = 2*3 + 2*4 = 6 + 8 = 14.

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What does it mean to factor an expression?

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Factoring an expression means to break it down into simpler components (factors) that, when multiplied together, give the original expression.

Front

What is the factored form of 12x + 8?

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The factored form is 4(3x + 2).