Solving Multi-Step and Proofs

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What is a multi-step equation?

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A multi-step equation is an equation that requires more than one step to solve. It often involves combining like terms, using the distributive property, and isolating the variable.

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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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How do you isolate a variable in an equation?

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To isolate a variable, you perform inverse operations to get the variable alone on one side of the equation. This may involve adding, subtracting, multiplying, or dividing both sides.

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What does it mean to combine like terms?

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Combining like terms involves adding or subtracting terms that have the same variable raised to the same power. For example, 2x + 3x = 5x.

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What is a proof in mathematics?

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A proof is a logical argument that demonstrates the truth of a statement or theorem using definitions, axioms, and previously established results.

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What is the first step in solving a multi-step equation?

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The first step is often to simplify both sides of the equation, which may include combining like terms and using the distributive property.

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What is an equation?

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An equation is a mathematical statement that asserts the equality of two expressions, typically containing one or more variables.

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What is the solution to an equation?

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The solution to an equation is the value of the variable that makes the equation true.