Factoring Algebraic Expressions

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What is factoring in algebra?

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Factoring is the process of breaking down an expression into simpler components, or factors, that when multiplied together give the original expression.

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What does it mean to factor out a common term?

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Factoring out a common term involves identifying a term that is common to all parts of an expression and rewriting the expression as a product of that term and another expression.

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CCSS.7.EE.A.1

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-4(x + 5)

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CCSS.7.EE.A.1

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3(s - 3t - 5)

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CCSS.7.EE.A.1

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7(2w + 7m)

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CCSS.7.EE.A.1

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8(t - 4u)

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CCSS.7.EE.A.1

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2x(5 + y)

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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 is a variable in algebra?

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A variable is a symbol, often a letter, that represents an unknown value in an algebraic expression or equation.

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CCSS.6.EE.A.2B

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What is the distributive property?

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The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term inside a parenthesis.

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CCSS.6.EE.A.3