Properties and combine like terms

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What is the Distributive Property?

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The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

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What is the Associative Property of Multiplication?

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The Associative Property of Multiplication states that the way in which numbers are grouped in multiplication does not change their product. For example, (a × b) × c = a × (b × c).

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What is the Commutative Property of Addition?

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The Commutative Property of Addition states that changing the order of the addends does not change the sum. For example, a + b = b + a.

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What is the Identity Property of Addition?

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The Identity Property of Addition states that any number plus zero equals the number itself. For example, a + 0 = a.

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What is the Identity Property of Multiplication?

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The Identity Property of Multiplication states that any number multiplied by one equals the number itself. For example, a × 1 = a.

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What is the Commutative Property of Multiplication?

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The Commutative Property of Multiplication states that changing the order of the factors does not change the product. For example, a × b = b × a.

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What is the Associative Property of Addition?

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

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How do you combine like terms?

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To combine like terms, add or subtract the coefficients of terms that have the same variable raised to the same power. For example, 3x + 4x = 7x.

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What is an equivalent expression?

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An equivalent expression is an expression that has the same value as another expression, even though it may look different. For example, 2(x + 3) is equivalent to 2x + 6.

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What is the purpose of simplifying expressions?

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The purpose of simplifying expressions is to make them easier to work with and understand, often by combining like terms and reducing them to their simplest form.