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 Mathematics 141 Practice quiz 5Fractions When you are sure of your answers, send them to your Professor: Enter your name above Enter preferred email address above Enter student I.D.

[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
(d) 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 (d) 4x (e) none of the above
[4]
Which expression (below) is equal to :
a - 2b
ab
 1a - 1b

(a)
 a - 2bab (a - b)
(b)
 a - 2bb - a
(c)   -1
(d)   -1(a - b)
(e) none of the above
[5] Enter the one root (solution) of the given equation:
 x-3x+2 - x x+2 = 54
x =
[6] Enter both roots (solutions) of the given equation:
 60  x+20 + 40 x =  2
x = or x =
[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 x2y3 z5, x4 yz3, and x7 y4z2:

 LCM = x x y x z x
[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 after driving the same number of minutes. What is Kiki's average speed?
Which of the following defines a variable and an equation correctly translating the boxed problem above?

(a)
Let x = the distance between Devon's work and his home ;
 8x = 10  x-10
(b) Let x = Devon's speed ; 8x = 10(x+10)
(c) Let x = Kiki's speed ; 8(x - 10) = 10x
(d)
Let x = Devon's speed ;
 8x = 10  x+10
(e)
Let x = Kiki's speed ;
 8  x-10 = 10  x
(f)
Let x = the distance between Kiki's work and her home ;
 8  x-10 = 10  x
(g) none of the above
[10]
 It takes 8 minutes to fill Amanda's bath tub, and 10 minutes to drain it if it were filled. How long would it take to fill the tub if Amanda mistakenly leaves the drain open?
Which of the following defines a variable and an equation correctly translating the boxed problem above?

(a)
Let x = the fraction of the tub filled in one minute with tap open and drain closed ;
 8x = 10  x-10
(b) Let x = the time needed to fill tub with both tap and drain open ; 8x = 10(x+2)
(c)
Let x = the time needed to fill tub with both tap and drain open ;
 x8 - x 10 = 1
(d)
Let x = the fraction of the tub filled in one minute with drain open and tap closed ;
 8x = 10  x+10
(e)
Let x = the time needed to fill tub with both tap and drain open ;
 8x - 10x = 1x
(f)
Let x = the time needed to fill tub with both tap and drain open ;
 8x - 10x = 80
(g) none of the above

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