Linear equations (one variable)

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What is a linear equation in one variable?

Back

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What does the absolute value of a number represent?

Back

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What does it mean if an absolute value equation has no solution?

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How do you check for extraneous solutions in absolute value equations?

Back

To check for extraneous solutions, substitute the found solutions back into the original equation to see if they satisfy it.

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What is the graphical representation of an absolute value function?

Back

The graph of an absolute value function is a V-shape, opening upwards, with the vertex at the point where the expression inside the absolute value equals zero.

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What is the significance of the constant on the right side of an absolute value equation?

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The constant on the right side of an absolute value equation indicates the distance from the value inside the absolute value to zero.