Multi Step Equations with one, no, or infinite

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

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What does it mean if an equation has one solution?

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An equation has one solution when there is exactly one value for the variable that makes the equation true.

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What does it mean if an equation has no solution?

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An equation has no solution when there is no value for the variable that can satisfy the equation, often resulting in a contradiction.

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What does it mean if an equation has infinite solutions?

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An equation has infinite solutions when any value for the variable satisfies the equation, typically when both sides of the equation are equivalent.

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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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How do you combine like terms in an equation?

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Combine like terms by adding or subtracting the coefficients of terms that have the same variable raised to the same power.

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