Basic Mathematics for College Students

8.5 Using Equations to Solve Application Problems 683

Fill in the blanks.

1. The five-step problem-solving strategy is:
   
   
   • the problem
   
   
   • Form an
   
   
   • the equation
   
   
   • State the
   
   
   • the result
   
   
   
   


2. Words such as doubledand tripledindicate the
   operation of.


3. Phrases such as distributed equallyand sectioned off
   uniformlyindicate the operation of.


4. Words such as trimmed,removed, and meltedindicate
   the operation of.


5. Words such as extendedand reclaimedindicate the
   operation of.


6. A letter (or symbol) that is used to represent a
   number is called a.

In each of the following problems, find the key word or phrase
and tell how it translates. You do not have to solve the problem.

7. FAST FOOD The franchise fee and startup costs for
   a Taco Bell restaurant total $1,324,300. If an
   entrepreneur has $550,000 to invest, how much
   money will she need to borrow to open her own Taco
   Bell restaurant? (Source: yumfranchises.com)
   Key word:
   Translation:


8. GRADUATION ANNOUNCEMENTS Six of
   Tom’s graduation announcements were returned by
   the post office stamped “no longer at this address,”
   but 27 were delivered. How many announcements did
   he send?
   Key word:
   Translation:


9. WORKING IN GROUPS When a history teacher
   had the students in her class form equal-size
   discussion groups, there were seven complete groups,
   with five students in a group. How many students
   were in the class?
   Key word:
   Translation:

CONCEPTS

VOCABULARY 10. SELF-HELP BOOKS An author book claimed that

the information in his book could double a

salesperson’s monthly income. If a medical supplies

salesperson currently earns $5,000 a month, what

monthly income can she expect to make after reading

the book?

Key word:

Translation:

11. SCHOLARSHIPS See the illustration. How many
    scholarships were awarded this year?


12. OCEAN TRAVEL See the illustration. How many
    miles did the passenger ship travel?


13. SERVICE STATIONS See the illustration. How
    many gallons does the smaller tank hold?


14. Complete this statement about the perimeter of the
    rectangle shown.

The perimeter is 240 ft. w

5 w

2   2   240

Premium

Regular

This tank holds

g gallons.

This tank holds

100 gallons less

than the

premium tank.

The freighter

traveled m miles.

The passenger ship

traveled 3 times farther

than the freighter.

Port

Last year, s scholarships

were awarded.

Six more scholarships

were awarded this year

than last year.

SECTION 8.5 STUDY SET