WordProblemReviewFall08.pdf

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Department
Mathematics
Course
MATH 102
Professor
Martial Agueh
Semester
Winter

Description

 Word
Problem
Review
 The
problems
you
will
review
here
do
not
require
any
calculus.
They
are
practice
in
setting
up
problems
ready
for
the
 use
of
calculus
techniques.

They
are
important
preparation
for
problems
coming
later
in
the
course.


If
you
can’t
find
 the
needed
equations
from
the
problem
statement
you
will
not
be
able
to
solve
the
problem.
 Text
References:
 Section


 Examples
 Exercises
 
 
 
 
 
 Linear
Equations
 


1.3
 
 6,
8
 
 Try
It
6:

Ex
79
–
83,
85,
86,
88,
89


 
 
 
 
 
 
 
 
 
 
 Some
of
these
problems
can
be
answered
using

numerical

 
 
 
 
 
 
 
 methods
instead
of
finding
equations.

This
won’t
help
much
in
 
 
 
 
 
 
 
 
 Calculus.
 Other
equations
 


1.4
 
 
 
 69,
71
–
73,
75
 
 
 Extra
Practice
Problems
 
 
 



 Write
equations
that
express
the
following:

 1. The
area
of
a
circle,
A,
in
terms
of
its
radius,
r.
 2. The
circumference
of
a
circle,
C,
in
terms
of
its
radius,
r.
 3. The
area
of
a
circle,
A,
in
terms
of
its
circumference,
C.
 4. The
volume,
V,
of
a
sphere
in
terms
of
its
radius,
r.
 5. The
volume,
V,
of
a
cube
in
terms
of
its
side
length,
x.
 
 6. A
rectangle
has
perimeter
36m.

Let
the
length
of
one
side
be
x.

Find
an
equation
for
the
area,
A,

of
the
 rectangle
in
terms
of
x.
 
 7. Three
adjoining
,
identical,
rectangular
pens
are
constructed
using
108m
of
fencing.
Let
the
length
of
one
side
of
 a
pen
be
x
and
the
other
be
y.

Find
an
equation
for
the
total
area,
A,

of
all
three
pens
in
terms
of
x.
Then
find
A
 in
terms
of
y.
 
 8. A
pen
is
constructed
with
one
side
along
a
river
and
therefore
not
requiring
a
fence.

The
total
area
enclosed
is
 96m 
.

Let
x
be
the
length
of
the
side
parallel
to
the
river
and
y
be
the
other
side
length.

Find
an
equation
for
 the
needed
fence
length,
F,

(i)

in

terms
of
x,
and
(ii)
in
terms
of
y.
 
 9. A
rectangular
pen
is
to
be
constructed
using
fencing
along
three
sides
that
costs
$10/m
and
the
fourth
side
costs
 $15/m.
48m 
is
to
be
enclosed.

(i)

Find
an
equation
for
the
total
cost,
C,
in
terms
of
x,
the
length
of
the
side
that
 costs
$15/m.
(ii)
Find
an
equation
for
the
total
cost,
C,
in
terms
of
y,
the
length
of
the
side
that
costs
$10/m.

 
 10. A
rectangular
pen
is
to
be
constructed
using
fencing
along
three
sides
that
costs
$10/m
and
the
fourth
side
costs
 $15/m.
$7500
is
available
for
the
work.

(i)

Find
an
equation
for
the
total
area
enclosed,
A,
in
terms
of
x,
the
 length
of
the
side
that
costs
$15/m.
(ii)
Find
an
equation
for
the
tota
More Less

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