Math 121, Spring 1997
Test 1, Dr. Howard
Show all work. Circle your final answers.
Evaluate the following expressions without a calculator.
 
 
1.    23 22  2.    (3/5)2 (-5/3)3
 
3.    7x-2 for x = 4  4.    [3 Ö(-8)]
 
5.    (27)1/3

Simplify each of the following expressions, leaving no radicals in the denominator.
 
 
6.    (-3x)3  7.    (4x3)2 (2x)
 
8.    [(6x4)/( x3)]  9.    (3w)2 w-4
 
10.    4[Ö27] - [Ö75]  11.    [(5-1/2 5x3/2)/( (5x)3/2)]
 
12.    [2/( Ö5)]  13.    [4/( 1+Ö3)]

Perform the indicated operation and write the result in standard polynomial form.
 
 
14.    (z3-2z2+1)-(3z3-z2+2)  15.    (x-2) (x2+2x+4)
 
16.    (5+Öx) (5-Öx)  17.    (x+3)3

Completely factor each of the following polynomials.
 
 
18.    3x+6  19.    3w3-6w
 
20.    3x(x+2)-4(x+2)  21.    x2-9
 
22.    w2+10w+25  23.    z2-z-6
 
24.    27t3-1  25.    x3+5x2-5x-25 [Hint: use grouping]

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