Math 121, Summer 1997
Test 2, Dr. Howard
Show all work. Circle your final answers.
 
 
 
1.
Simplify each expression.  (10 points)

 
 
a.
[(x2+2x-3)/( x2+x-2)]
b.
[2/( x-1)]+3/x-[(x+3)/( x2-1)]
2.
Perform the indicated operation and simplify your answer.  (10 points)

 
 
a.
[(2x2-x-3)/( 3x-4)]¸[(x+1)/( x+2)]
b.
[(2/x-3)/( 1-[1/( x-1)])]
3.
Find all real solutions.  (15 points)

 
 
a.
2x-3 = 0
b.
3(x-5) = 6(2x-1)
c.
[2/( (x-4) (x-2))] = [1/( x-4)]+[2/( x-2)]
4.
The sum of two consecutive natural numbers is 35. Find \smashboth of the numbers.  (5 points)
5.
To get an A in a particular course, you must have an average of at least 90 on four tests of 100 points each. The scores on the first three tests were 84, 94, and 88. What must you score on the fourth test to get an A for the course?
6.
Find all real solutions for each equation.  (20 points)

 
 
a.
3x2 = 75
b.
Use factoring: 6x2-x-2 = 0
c.
Complete the square: x2-6x+2 = 0
d.
Use quadratic formula: 2x2-x-1 = 0
7.
A water balloon shot upward from a 96-foot building with a velocity of 16 feet per second has a height of
 
s = -16t2+16t+96 
 
feet after t seconds. How long does the balloon take to hit the ground?
8.
Find all real solutions to each equation.  (30 points)

 
 
a.
x3+2x2+3x+6 = 0
b.
x4-5x2+4 = 0
c.
[Ö(5-x)]-3 = 0
d.
4/x - 5/3 = x/6
e.
|3x+2| = 7
f.
20x3-125x = 0
EXTRA PROBLEM. Solve 8x2 (x2-4)1/3+(x2-4)4/3.  (5 points)

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