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
2i
.
i
5  4i
b)
1
(11) Write the expression in standard form