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. When you are sure of your answers, send them to your Professor: see bottom of test Enter your name above Enter preferred email address above Enter student I.D. above
[1] Choose the correct reduced fraction (below) equal to:
 2x2 + 5x - 32x2 - 4x - 30

 (a) 4 -32 (b) 2x - 12x-10 (c) 5x - 3-4x-30 (d) 3 - 5x4x+30 (e) none of the above

[2]
Choose the correct reduced fraction (below) equal to the quotient:
 24x2y325xy 8x2y315y2

(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:
 4x32x - 3 . 3 - 2xx2

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

a - 2b
ab
 1a - 1b
=

[5] Enter the roots (solutions) of the given equation:
 x-3x+2 - x x+2 = 54
x = (enter integer or decimal answer)
[6] Enter the roots (solutions) of the given equation:
 x-3x+2 + x x-1 = 32
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 + 6x2 - 9 - 2x - 3x + 3 + x + 1x - 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 onand drain closed drain open andfilling tap off both filling tapand 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: