Module 3 Lesson 2 Distributive Property

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What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum or difference.

Tags

CCSS.6.EE.A.3

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How do you apply the Distributive Property to the expression (x - 6)4?

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You multiply each term inside the parentheses by 4, resulting in 4x - 24.

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CCSS.6.EE.A.3

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What is the result of applying the Distributive Property to 2(c - 8)?

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You distribute 2 to both c and -8, resulting in 2c - 16.

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CCSS.6.EE.A.3

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What does combining like terms mean in algebra?

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Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

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CCSS.7.EE.A.1

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What is the result of combining the terms 3x and -5x?

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The result is -2x, as you combine the coefficients (3 - 5 = -2).

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CCSS.7.EE.A.1

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How do you simplify the expression -r - 10r?

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You combine the like terms -r and -10r to get -11r.

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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 expression or equation.

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CCSS.6.EE.A.2B

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What is the difference between an expression and an equation?

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An expression is a combination of numbers, variables, and operations without an equality sign, while an equation states that two expressions are equal.

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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 that, when multiplied together, give the original expression.