Simplifying Algebraic Expressions

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What is the distributive property in algebra?

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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 combine like terms in an algebraic expression?

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To combine like terms, identify terms that have the same variable raised to the same power and add or subtract their coefficients.

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CCSS.7.EE.A.1

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What is a coefficient in an algebraic expression?

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A coefficient is a numerical factor that multiplies a variable in an algebraic expression.

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CCSS.6.EE.A.2B

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What does it mean to simplify an algebraic expression?

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Simplifying an algebraic expression means to reduce it to its simplest form by combining like terms and applying the distributive property.

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CCSS.7.EE.A.1

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What is the first step in simplifying the expression -9(14p - 8) - 4p?

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The first step is to apply the distributive property to -9(14p - 8), which gives -126p + 72.

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CCSS.6.EE.A.3

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What is the result of simplifying the expression 5a + 2b - 3a + 4?

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The result is 2a + 2b + 4 after combining like terms.

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CCSS.7.EE.A.1

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How do you handle negative signs when simplifying expressions?

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When simplifying, distribute negative signs carefully to ensure that all terms are correctly adjusted, such as changing the signs of terms inside parentheses.

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CCSS.7.EE.A.1

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What is the simplified form of the expression 10x - 3(2x + 8)?

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The simplified form is 4x - 24 after applying the distributive property and combining like terms.

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CCSS.6.EE.A.3

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What is the significance of parentheses in algebraic expressions?

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Parentheses indicate which operations should be performed first, and they can affect the outcome of the expression when combined with the distributive property.

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CCSS.6.EE.A.3

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What does it mean to factor an expression?

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Factoring an expression means to express it as a product of its factors, which can help in simplifying or solving equations.