Solving Equations using the Distributive Property

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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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b = 1

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What is the first step in solving an equation using the Distributive Property?

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The first step is to apply the Distributive Property to eliminate parentheses by multiplying the term outside the parentheses by each term inside.

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x = 5

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What does it mean to isolate the variable in an equation?

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Isolating the variable means rearranging the equation so that the variable is on one side and all other terms are on the opposite side.

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d = -2

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What is the purpose of combining like terms in an equation?

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Combining like terms simplifies the equation, making it easier to solve for the variable.

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x = 1

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What is a like term?

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Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms.

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How do you check your solution after solving an equation?

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You can check your solution by substituting the value back into the original equation to see if both sides are equal.