PROCEDURE FOR SOLVING WORD
PROBLEMS
Step 1: Identify the question. Read the problem
one time and note what you are asked to find.
Step 2: Make notes. Read until you can note
something (an amount, a picture, anything).
Continue reading and making notes until you
have read the problem a second* time.
Step 3: Assign a variable to whatever is being
asked for (if there are two choices, then let it be
the smaller of the two).
Step 4: Set up an equation.
Step 5: Solve the equation.
Step 6: Check the solution. Run the solution
During a camping trip in North Bay, Ontario, a
couple went one-third of the way by
boat, 10 miles by foot, and one-sixth of the way by
horse. How long was the trip?
Solution:
STEP 1 Identify the question.
How many miles was the trip?
STEP 2 Make notes.
Read Write
. . . one-third of the way by boat BOAT: 1/3 of the trip
. . . 10 miles by foot FOOT: 10 miles
. . . one-sixth of the way by horse HORSE: 1/6 of the trip
During a camping trip in North Bay, Ontario, a
couple went one-third of the way by
boat, 10 miles by foot, and one-sixth of the way by
horse. How long was the trip?
Solution:
STEP 3 Assign a variable.
 Distance of total trip in miles = x
STEP 4 Set up an equation.
The total distance of the trip is the sum of all the
distances by boat, foot, and horse.
STEP 4 Set up an equation.
Distance by boat + Distance by foot + Distance by
horse = Total distance
STEP 5 Solve the equation.
Multiply by the LCD, 6.
Collect x terms on the right.
Divide by 3.
The trip was 20 miles.
To calculate the temperature in degrees
Fahrenheit, we use the formula,
where F is degrees Fahrenheit and C is
degrees Celsius.
Find the formula to convert from Fahrenheit
to Celsius.
The perimeter P of a rectangle is related to
the length L and width W of the rectangle
through the equation
P = 2L + 2W
Determine the width in terms of the perimeter
and length.
Your cell phone plan
charges $15 a month plus
12 cents per minute. If your
monthly bill is $25.08, how
many minutes did you use?
Becky rented a car on her Ft.
Lauderdale vacation. The car
was $25 a day plus 10 cents
per mile. She kept the car for
5 days and her bill was $185.
How many miles did she drive
the car?
When traveling in London, Charlotte
decided to check her e-mail at an
Internet café. There was a flat charge
of $2 plus a charge of 10 cents a
minute. How many minutes was she
logged on if her bill was $3.70?
For a summer job, Dwayne decides
to sell magazine subscriptions. He
will be paid $20 a day plus $1 for
each subscription he sells. If he
works for 25 days and makes
$645, how many subscriptions did
he sell?
The operating costs for a local business per year
are a fixed amount of $15,000 and $2,500 per
day.
a. Find C that represents operating costs for the
company, which depend on the number of
days open, x.
b. If the business accrues $5,515,000 in annual
operating costs, how many days did the
business operate during the year?
Negotiated contracts for a technical support provider
produce monthly revenue of $5000 and $0.75 per
minute per phone call.
a. Find R that represents the revenue for the technical
support provider, which depends on the number of
minutes of phone calls x.
b. In one month the provider received $98,750 in
revenue. How many minutes of technical support
were provided?

ADV MATH WORD PROBLEM 1VARIABLE.pptx

  • 3.
    PROCEDURE FOR SOLVINGWORD PROBLEMS Step 1: Identify the question. Read the problem one time and note what you are asked to find. Step 2: Make notes. Read until you can note something (an amount, a picture, anything). Continue reading and making notes until you have read the problem a second* time. Step 3: Assign a variable to whatever is being asked for (if there are two choices, then let it be the smaller of the two). Step 4: Set up an equation. Step 5: Solve the equation. Step 6: Check the solution. Run the solution
  • 4.
    During a campingtrip in North Bay, Ontario, a couple went one-third of the way by boat, 10 miles by foot, and one-sixth of the way by horse. How long was the trip? Solution: STEP 1 Identify the question. How many miles was the trip? STEP 2 Make notes. Read Write . . . one-third of the way by boat BOAT: 1/3 of the trip . . . 10 miles by foot FOOT: 10 miles . . . one-sixth of the way by horse HORSE: 1/6 of the trip
  • 5.
    During a campingtrip in North Bay, Ontario, a couple went one-third of the way by boat, 10 miles by foot, and one-sixth of the way by horse. How long was the trip? Solution: STEP 3 Assign a variable.  Distance of total trip in miles = x STEP 4 Set up an equation. The total distance of the trip is the sum of all the distances by boat, foot, and horse.
  • 6.
    STEP 4 Setup an equation. Distance by boat + Distance by foot + Distance by horse = Total distance
  • 7.
    STEP 5 Solvethe equation. Multiply by the LCD, 6. Collect x terms on the right. Divide by 3. The trip was 20 miles.
  • 8.
    To calculate thetemperature in degrees Fahrenheit, we use the formula, where F is degrees Fahrenheit and C is degrees Celsius. Find the formula to convert from Fahrenheit to Celsius.
  • 9.
    The perimeter Pof a rectangle is related to the length L and width W of the rectangle through the equation P = 2L + 2W Determine the width in terms of the perimeter and length.
  • 10.
    Your cell phoneplan charges $15 a month plus 12 cents per minute. If your monthly bill is $25.08, how many minutes did you use?
  • 11.
    Becky rented acar on her Ft. Lauderdale vacation. The car was $25 a day plus 10 cents per mile. She kept the car for 5 days and her bill was $185. How many miles did she drive the car?
  • 12.
    When traveling inLondon, Charlotte decided to check her e-mail at an Internet café. There was a flat charge of $2 plus a charge of 10 cents a minute. How many minutes was she logged on if her bill was $3.70?
  • 13.
    For a summerjob, Dwayne decides to sell magazine subscriptions. He will be paid $20 a day plus $1 for each subscription he sells. If he works for 25 days and makes $645, how many subscriptions did he sell?
  • 14.
    The operating costsfor a local business per year are a fixed amount of $15,000 and $2,500 per day. a. Find C that represents operating costs for the company, which depend on the number of days open, x. b. If the business accrues $5,515,000 in annual operating costs, how many days did the business operate during the year?
  • 15.
    Negotiated contracts fora technical support provider produce monthly revenue of $5000 and $0.75 per minute per phone call. a. Find R that represents the revenue for the technical support provider, which depends on the number of minutes of phone calls x. b. In one month the provider received $98,750 in revenue. How many minutes of technical support were provided?