Error Analysis Solving Multistep Equations

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What is a multistep equation?

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A multistep equation is an equation that requires more than one step to solve, often involving operations such as addition, subtraction, multiplication, and division.

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What does 'combining like terms' mean?

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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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What is the distributive property?

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The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

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What does it mean to isolate a variable?

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Isolating a variable means to manipulate an equation so that the variable is on one side of the equation by itself.

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What is a coefficient?

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A coefficient is a numerical factor that multiplies a variable in an algebraic expression.

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How do you check if an equation is solved correctly?

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To check if an equation is solved correctly, substitute the solution back into the original equation to see if both sides are equal.

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What is the first step in solving a multistep equation?

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The first step is often to simplify both sides of the equation by combining like terms or using the distributive property.

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What is the importance of the order of operations in solving equations?

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The order of operations (PEMDAS/BODMAS) is crucial to ensure that calculations are performed correctly and consistently.

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What does 'moving the variable' refer to in solving equations?

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Moving the variable refers to the process of rearranging the equation to get the variable on one side, often by adding or subtracting terms.

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What is a constant in an equation?

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A constant is a fixed value that does not change, represented by a number in an equation.