3.1.1-3.2.2: Equivalent Expressions and Equations

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What are equivalent expressions?

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Equivalent expressions are expressions that have the same value for all values of the variable(s) involved.

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What does it mean to simplify an expression?

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To simplify an expression means to reduce it to its simplest form, making it easier to understand or work with.

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What is the importance of excluding values in rational expressions?

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Excluding values prevents division by zero, which is undefined in mathematics.

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0 and 3.

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The solutions are x = -2 and x = -1/2.

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4 and -7.

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2 and -5.

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What is a rational expression?

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A rational expression is a fraction where the numerator and the denominator are polynomials.

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What does it mean for an equation to have no solution?

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An equation has no solution when there are no values for the variable that make the equation true.