Grab your paper,
pencil and graphing calculator. Solve the following problems using either
a substitution method, an addition/subtraction method, or a
In each problem, set up a system of equations.
Two small pitchers and one large pitcher
can hold 8 cups of water. One large pitcher minus
one small pitcher constitutes 2 cups of water.
How many cups of water can each pitcher hold?
A test has twenty questions worth 100
points. The test consists of True/False questions
worth 3 points each and multiple choice questions worth
11 points each. How many multiple choice questions
are on the test?
Margie is responsible for buying a week's
supply of food and medication for the dogs and cats at a local shelter.
The food and medication for each dog costs twice as much as those
for a cat. She needs to feed 164 cats and 24
dogs. Her budget is $4240. How much can
Margie spend on each dog for food and medication?
Bill and Steve decide to spend the
afternoon at an amusement park enjoying their favorite
activities, the water slide and the gigantic Ferris
wheel. Their tickets are stamped each time they
slide or ride. At the end of the afternoon they
have the following tickets:
How much does it cost to ride the Ferris
How much does it cost to slide on the Water Slide?
The equations 5x + 2y = 48
and 3x + 2y = 32 represent the money
collected from school concert tickets sales during two
class periods. If x represents the cost for
each adult ticket and y represents the cost for
each student ticket, what is the cost for each adult ticket?