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Intermediate Algebra – Math 151-750RLQuiz 4 (60 Points) Fall 2009 12/3/09 Instructor: Lance P. Schmelz Name:___________________ Points Show work for all problems 9 (1) Simplify the expression. Assume that all variables are positive x5 5 a) b) y3 3 y2 1 c) ( x2 2 ) y6 3 (2) Simplify the expression. Assume that all variables are positive. 3 (2) Simplify the radical expression by factoring out the largest perfect nth power. Assume that all variables are positive. 3 3 27 x 2 y3 (2) Simplify the expression. Assume that all variables are positive and write your answer in radical notation. 3 4 rt 3 r 2 t (3) If possible, simplify the expression. 2 18 32 4 (4) Multiply and simplify. ( x 7)( x 8) 4 (5) Rationalize the denominator. z z 3 4 (6) Find the domain of f. Write your answer in interval notation. f ( x) 8 5 x a 2b b Points 6 Quiz 4 page 2 Fall 09 12/3/09 (7) Evaluate the function for the given value(s) of the variable. f ( x) 3 3 x 2 , 8 x 2,3 (8) Solve the equations symbolically. Check your results. x x 5 1 2 (9) Use i to write the expression. 12 3 (10) Simplify. i 58 4 (11) Write the complex conjugate. a) 4 2i . i 5 4i b) 1 (11) Write the expression in standard form