Algebra Refresher
Algebra Refresher



1.  

Given the set 0m1q1_1.gif, which elements of A are not rational numbers? (List all of them.)



2.  

The multiplicative inverse of –1/12 is



3.  

Find the L.C.D. (least common denominator) of 2/5, 11/12, -1/10, and 4/15.



4.  

Rationalize the denominator and simplify: 0m1q4_1.gif



5.  

Eliminate negative exponents and simplify: 0m1q5_1.gif



6.  

Simplify, express your answer in terms of positive exponents and rationalize the denominator, if necessary: 0m1q6_1.gif , x > 0, y > 0



7.  

Multiply and simplify: 0m1q7_1.gif



8.  

Perform the operation and simplify: 0m1q8_1.gif



9.  

Divide 0m1q9_1.gif by x + 4; state the quotient (Q) and the remainder (R).



10.  

Factor completely: 0m1q10_1.gif



11.  

Factor completely: 0m1q11_1.gif



12.  

Factor completely: 0m1q12_1.gif



13.  

Perform the operations and simplify: 0m1q12_1.gif



14.  

Perform the operations and simplify: 0m1q14_1.gif



15.  

Rationalize the denominator and simplify:0m1q15_1.gif

Note: answer choices in this exercise are randomized.

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