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The skills and knowledge tested in these problems include: evaluating algebraic expressions; simplifying radicals; combining fractions with unlike polynomial denominators; fractional exponents; manipulating exponents; solving linear equations; simplifying fractions ("multiplying" and "dividing" rational expressions); simplifying algebraic expressions; simplifying ("multiplying/dividing") fractions; factoring by grouping; absolute value; solving literal equations; rationalizing denominators; recognizing graphs of polynomial functions; finding all zeroes of quadratic functions; inequalities |
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(a) (b) (c) (d) (e)
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(a) (b) (c)
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Simplifying Fractions (by factoring) |
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Finding all zeros of a function |
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Manipulating Rational (Fractional) Exponents |
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Inequalities |
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Simplifying radicals |
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Factoring the sum/difference of two cubes |
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Graphs of
systems of equations |
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Solving quadratic equations |
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Combining terms that have rational exponents |
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Solving equations involving radicals |
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Graphing inequalities |