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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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Skills and/or Concepts Involved 
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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 