Mathematics 141 Practice quiz 2
(submit over the internet by 1 March 2000)
This quiz will not affect your course grade
Click on the appropriate answer for each question.
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[1] Choose the correct reduced fraction (below) equal to:
2x2 + 5x - 3

2x2 - 4x - 30
 
(a)  4 
-32
(b) 2x - 1
2x-10
(c)   5x - 3
-4x-30
(d) 3 - 5x
4x+30
(e) none of the above

[2]
Choose the correct reduced fraction (below) equal to the quotient:
24x2y3

25xy
   8x2y3

15y2
 
(a)
64xy3
75
(b)
75
64xy3
(c) 9y
5x
(c) 5x
9y
(e) none of the above

[3]
Choose the correct reduced fraction (below) equal to the product:
4x3

2x - 3
 .  3 - 2x

x2
 
(a) 4x(3 - 2x)

2x - 3
(b) 4x
(c) -4x
(c) 4
x
(e) none of
the above
[4] Enter integers and variables as the numerator and denominator of the simplified reduced fraction:
 
a - 2b
ab
1
a
 -  1
b
 = 

[5] Enter the roots (solutions) of the given equation:  
x-3
x+2
 -   x 
x+2
 =  5
4
 
  x = (enter integer or decimal answer)
[6] Enter the roots (solutions) of the given equation:  
x-3
x+2
 +   x 
x-1
 =  3
2
 
  x = or x = (enter integer or decimal answers)
[7] Enter the numerator of the reduced fraction equal to the following; note that
you must determine the LCD (least common denominator), but don't enter it.
 
x2 +5x + 6

x2 - 9
 -  2x - 3

x + 3
 +  x + 1

x - 3
 = 

LCD
[8] By entering the exponents of x, y, and z, find the least common multiple (LCM)
of x2y3z5, x4yz3, and x7y4z2:
  LCM = xyz
  Note: MS Internet explorer 5 does not correctly display the above answer boxes as EXPONENTS. NETSCAPE is still a better browser.
[9]
Devon works 8 kilometers from his home; Kiki works in the same building, and lives 10 kilometers from work. Devon drives home at an average speed which is 10 kph slower (kilometers per hour) than Kiki, but both arrive home at the same time. What is Kiki's average speed?
Using English only, enter a definition for a variable "x":
Let x =
Using information in the boxed problem (above), using "/" for division or fraction lines, and using the variable "x" which you defined above (but no other letters), fill in the table below:
Distance traveled Travel speeds (rates):
expressed using "x"
Time traveled:
expressed using "x"
Devon
Kiki
Write an equation using one variable "x" which translates the boxed problem above:
[10]
For the problem in the box below, enter the requested information:
It takes 8 minutes to fill Amanda's bath tub, and 10 minutes to drain it. How long would it take to fill the tub if the drain were left open?
Using English only, enter a definition for a variable "x":
Let x =
Using information in the boxed problem (above) and/or the variable "x" which you defined above, fill in (for 3 points) the table below:
Rate: fraction of tub
filled or drained in one minute
Time:
number of minutes on or open
Fraction of tub filled or drained
filling tap on
and drain closed
drain open and
filling tap off
both filling tap
and drain open
Using decimal numbers, write an equation in variable "x" which translates the boxed problem above:
Enter (in the answer box, right) the time it takes to fill Amanda's tub when both the filling tap and the drain are open:

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This page last updated
27 February 2000