Solving Multi-Step Equations with 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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First, apply the Distributive Property: -32 - 20b = 8. Then, add 32 to both sides: -20b = 40. Finally, divide by -20: b = -2.

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What does it mean to solve a multi-step equation?

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Solving a multi-step equation involves performing multiple operations to isolate the variable on one side of the equation.

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The first step is to apply the Distributive Property: 3x + 12 = 21.

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How do you isolate a variable in an equation?

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To isolate a variable, you perform inverse operations to move all terms involving the variable to one side and constant terms to the other side.

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What is an example of a multi-step equation?

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How do you check your solution after solving an equation?

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You substitute your solution back into the original equation to see if both sides are equal.

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First, apply the Distributive Property: 5x + 10 = 25. Then, subtract 10 from both sides: 5x = 15. Finally, divide by 5: x = 3.

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What is the importance of the Distributive Property in solving equations?

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The Distributive Property simplifies expressions and makes it easier to solve equations by allowing you to eliminate parentheses.

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What does it mean to combine like terms?

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Combining like terms means to add or subtract terms that have the same variable raised to the same power.