Intermediate Algebra 2 Semester 1 Final Exam Review

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What is a function?

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A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

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How can you determine if a relation is a function?

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A relation is a function if every input (x-value) has exactly one output (y-value). This can be checked using the vertical line test.

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What is scientific notation?

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How do you multiply numbers in scientific notation?

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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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What is the significance of no solution in an equation?

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No solution means that there are no values for the variable that can satisfy the equation, indicating that the equations represent parallel lines.

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What is the distributive property?

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How do you multiply polynomials?

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To multiply polynomials, use the distributive property or the FOIL method for binomials, multiplying each term in the first polynomial by each term in the second.

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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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How do you simplify a rational expression?

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To simplify a rational expression, factor both the numerator and the denominator and then cancel any common factors.