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

 


 

Problem

Skills and/or Concepts Involved

The correct answer is:  (a)    (b)    (c)    (d)    (e)

 

Evaluating algebraic expressions

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The correct answer is:  (a)    (b)    (c)    (d)    (e)

Simplifying radicals

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The correct answer is:   (a)    (b)    (c)    (d)    (e)

Combining fractions of unlike denominator

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The correct answer is:   (a)    (b)    (c)    (d)    (e)

Solving Linear Equations

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The correct answer is:  (a)    (b)    (c)    (d)    (e)

Fractional exponents

The correct answer is:  (a)    (b)    (c)    (d)    (e)

Combining fractions of unlike denominator

The correct answer is:   (a)    (b)    (c)    (d)    (e)

"Multiplying" (that is, simplifying) fractions

 

The correct answer is:   (a)    (b)    (c)    (d)    (e)

"Dividing" (that is, simplifying) fractions

The correct answer is:  (a)    (b)    (c)    (d)    (e)

Factoring by
 Grouping

The correct answer is:  (a)    (b)    (c)    (d)    (e)

Absolute Value

The correct answer is:   (a)    (b)    (c)    (d)    (e)

Solving literal equations

The correct answer is:   (a)    (b)    (c)    (d)    (e)

Rationalizing denominators

(a)                                     (b)                                  (c)
                                        
(d)                                                   (e)

                        

The correct answer is:  (a)    (b)    (c)    (d)    (e)

 

Recognizing Graphs
 of polynomial functions

(a)                                                 (b)                           (c)

             

(d)                                                 (e)

             

The correct answer is:  (a)    (b)    (c)    (d)    (e)

 

Recognizing Graphs
 of polynomial functions

The correct answer is:  (a)    (b)    (c)    (d)    (e)

Simplifying Fractions
(by factoring)

The correct answer is:  (a)    (b)    (c)    (d)    (e)

Finding all zeros of a function
 

The correct answer is:    (a)    (b)    (c)    (d)    (e)

Manipulating Rational
 (Fractional) Exponents

The correct answer is:  (a)    (b)    (c)    (d)    (e)

Inequalities

The correct answer is:  (a)    (b)    (c)    (d)    (e)

Simplifying radicals

The correct answer is:   (a)    (b)    (c)    (d)    (e)

Factoring the sum/difference
 of two cubes

The correct answer is:  (a)    (b)    (c)    (d)    (e)

Graphs of

 systems of equations

The correct answer is:  (a)    (b)    (c)    (d)    (e) 

Solving quadratic equations

 

The correct answer is:  (a)    (b)    (c)    (d)    (e)

Combining terms that have rational exponents

The correct answer is:   (a)    (b)    (c)    (d)    (e)

Solving equations involving radicals

                                

                                               

The correct answer is:  (a)    (b)    (c)    (d)    (e)

Graphing inequalities

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