Simplifying Expressions

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What is the distributive property in algebra?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

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CCSS.6.EE.A.3

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How do you simplify an expression using the distributive property?

Back

To simplify an expression using the distributive property, multiply each term inside the parentheses by the factor outside the parentheses.

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CCSS.6.EE.A.3

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What are like terms in algebra?

Back

Like terms are terms that have the same variable raised to the same power, allowing them to be combined.

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CCSS.6.EE.A.2B

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How do you combine like terms?

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To combine like terms, add or subtract the coefficients of the terms that have the same variable and exponent.

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CCSS.7.EE.A.1

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What is the result of simplifying the expression 5(2 - 7n)?

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The result is 10 - 35n.

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CCSS.6.EE.A.3

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What does it mean to simplify an expression?

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To simplify an expression means to reduce it to its simplest form, combining like terms and applying the distributive property as needed.

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CCSS.7.EE.A.1

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What is the process for simplifying the expression 4x^2 - 3x + 11 - 2x?

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Combine like terms: 4x^2 - (3x + 2x) + 11 = 4x^2 - 5x + 11.

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CCSS.6.EE.A.3

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How do you simplify the expression 11(b - 3)?

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Use the distributive property: 11b - 33.

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CCSS.6.EE.A.3

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What is the result of simplifying -8(3 + 4w)?

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The result is -24 - 32w.

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CCSS.6.EE.A.3

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What is the importance of simplifying expressions in algebra?

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Simplifying expressions makes it easier to solve equations and understand relationships between variables.

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CCSS.7.EE.A.1