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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x = -2

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Solve the equation: 5(6 - x) = 12.5

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x = 3.5

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

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

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Solve the equation: 3(2x + 2.50) = 31.50

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Cost of one slice of pizza = $4.00

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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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Solve the equation: 7(-2x + 5) = 28

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x = 0.5

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What is the purpose of checking your solution after solving an equation?

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Checking your solution ensures that the value you found satisfies the original equation, confirming its correctness.

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x = -8

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What is a linear equation?

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A linear equation is an equation that makes a straight line when graphed. It has no variables raised to a power greater than one.