Types of Solutions & MultiStep

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What is a solution in algebra?

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A solution is a value or set of values that satisfy an equation or inequality.

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What does it mean if an equation has no solution?

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It means that there are no values that can be substituted into the equation to make it true.

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What does it mean if an equation has infinite solutions?

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It means that there are countless values that can satisfy the equation, often due to the equation being an identity.

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How do you isolate a variable in an equation?

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You perform operations to both sides of the equation to get the variable by itself on one side.

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Combine like terms and isolate the variable by moving terms involving x to one side.

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The equation has infinite solutions.

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Multiply both sides by the reciprocal of the fraction to eliminate it, then solve for the variable.

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What does it mean to have a linear equation?

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What is the significance of the slope in a linear equation?

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The slope indicates the steepness of the line and the direction it moves (positive or negative) on a graph.