Error Analysis Solving Multistep Equations

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What is a multistep equation?

Back

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

Front

What is the distributive property?

Back

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 combine like terms?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power.

Front

What is a constant in an equation?

Back

A constant is a fixed value that does not change, such as the number 5 in the expression 3x + 5.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to get the variable alone on one side of the equation.

Front

What is the first step in solving a multistep equation?

Back

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

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What is the importance of checking your solution?

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

Front

What is an equation?

Back

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

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What does it mean to move the variable to one side of the equation?

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Moving the variable to one side involves using addition or subtraction to get all terms containing the variable on one side of the equation.

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What is the role of inverse operations in solving equations?

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Inverse operations are used to undo operations performed on a variable, helping to isolate it and solve the equation.