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. It often involves combining like terms, using the distributive property, and isolating the variable.

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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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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 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.

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What does it mean if an equation has no solutions?

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An equation has no solutions if there is no value for the variable that makes the equation true.

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What does it mean if an equation has infinite solutions?

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An equation has infinite solutions if any value for the variable makes the equation true.

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How do you determine if an equation has one solution, no solutions, or infinite solutions?

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You can determine this by simplifying the equation. If you end up with a true statement (like 0=0), it has infinite solutions. If you get a false statement (like 0=5), it has no solutions. If you find a specific value for the variable, it has one solution.

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The solution is no solutions.