3.1.1-3.2.2: Equivalent Expressions and Equations

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What is an equivalent expression?

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An equivalent expression is an expression that has the same value as another expression for all values of the variable(s) involved.

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CCSS.6.EE.A.4

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What does it mean to solve an equation?

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To solve an equation means to find the value(s) of the variable(s) that make the equation true.

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CCSS.8.EE.C.7B

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x = -2, x = -rac{1}{2}

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CCSS.HSA-REI.B.4B

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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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x = 2 and x = -5

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CCSS.HSF-IF.C.7D

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x = 4 and x = -7

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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 both polynomials.

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What is the process of simplifying a rational expression?

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The process involves factoring the numerator and denominator and then canceling out any common factors.

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CCSS.HSA.APR.D.6