Word Problems

Name
Algebra 1A
Date
Mrs. Luna
Word Problems
Steps for Solving a Word Problem:
 Determine what you are asked to find.
 Indicate which unknown quantity x will
represent.
 If there is another unknown quantity, write
an expression, containing x, to represent
this other unknown quantity.
 Write an equation, containing x, that fits
the problem. (Note: x should not appear
by itself on one side of the equation.)
 Solve the equation.
 Answer the question. Use a complete
sentence, and be sure to include units.
 Check your answer. (Do not check your
answer in your equation.) Does your
answer satisfy the conditions as stated in
the word problem?
Solve each problem following the steps
shown to the left. Do all work on a separate
sheet of paper.
1. A plumber and his assistant work together to
replace the pipes in an old house. The
plumber charges $45 an hour for his own
labor and $25 an hour for his assistant's
labor. The plumber works twice as long as
his assistant labor on this job, and the
labor charge on the final bill is $4025.
How long did the plumber and his
assistant work on this job?
2. A plumber makes $20 per hour more than
his apprentice. During an 8 hour day their
combined earnings total $600. How much
does each make per hour?
3. A plumber charges $55 for each hour, in
addition to a trip charge of $40. How
many hours did he work if he charged you
$177.50?
4. 500 people see a play. Children are
charged $15 and adults $25. Ticket
proceeds are $11,250. How many children
and how many adults attended the play
5. The cost of tickets for a play was $3.00
for adults and $2.00 for children. The
number of child tickets sold was twofifths the number of adult tickets sold. The
amount of money collected was $950.
How many tickets of each type were sold?
6. Connor saves all of his quarters and dimes
in a jar. He collected 170 coins that are
worth $26. How many of each coin does
he have?
7. Taylor has $11.85 in her coin collection.
She only has nickels and quarters in her
collection. The number of quarters is
equal to one less than twice the number of
nickels. How many of each kind of coin
does she have?
8. The length of a rectangle is 12 cm more
than the width. The perimeter is 44 cm.
Find the dimensions of the rectangle.