Sections 7.1: Multiplying and Dividing Rational
Expressions
Find the domain of (page 387):
Write each rational ex pression in the lowest term (page
388):
Multiply and divide as indicated (page 388):
Sections 7.2: Adding and Subtracting Rational
Expressions
Find the LCD of :
a) x2 - y2 and 4x -4y
b) x2 - 4 ; x3 + x2 - 6x and 3x + 6
c) x2 +10x + 25 and x2 + 2x -15
d) y2 - 9 and 3 - y
Add or Subtract as indicated (page 396):
Sections 7.3: Complex Fraction
Simplify each complex fraction (page 404):
Sections 7.4: Equations with Rational Expressions
Solve each equation (page 410):
Graph the fol lowing rational function. Give the equation
of the vertical asymptote :
Sections 7.5: Applications of Rational Expressions
Solve each formula for the specified variable (page 423):
e) To de termine the number of deer in a game preserve, a
conservationist catches 318 deer, tags them,
and lets them loose. Later, 168 deer are caught; 56 of them are tagged. How many
deer are in the
preserve?
24) In a certain southern state, sales tax on a purchase
of $1.50 is $0.12. What is the sales tax on a
purchase of $6.00?
f) The speed of the current in Catamount Creek is 3 mph.
Paul’s kayak can travel 4 mi upstream in the
same time that it takes to travel 10 mi downstream. What is the speed of Paul’s
kayak in still water?
g) A truck driver drives every week to a city in the east
cost, if he drives 45 Mph he would arrive there 1
hour early. If he drives 40 Mph, he would arrive 1 hour late. How far is the
city?
44) Johnny averages 30 mph when he drives on the old
highway to his favorite fishing hole, and he
averages 50 mph when most of his route is on the interstate. If both routes are
the same length, and
he saves 2 hr by traveling on the interstate, how far away is the fishing hole?
46) While on vacation, Jim and Annie decided to drive all
day. During the first part of their trip on the
highway, they averaged 60 mph. When they got to Houston, traffic caused them to
average only 30
mph. The distance they drove in Houston was 100 mi less than their distance on
the highway. What
was their total driving distance if they spent 50 min more on the highway than
they did in Houston?
h) Alexander can paint a room in 4 hr. Alexandra can paint
the same room in 3 hr. Working together,
how long will it take them to paint the room?
52) A winery has a vat to hold chardonnay. An inlet pipe
can fill the vat in 9 hr, while an outlet pipe can
empty it in 12 hr. How long will it take to fill the vat if both the outlet and
the inlet pipes are open?
