Name____________________________________ Date______________ Period_______
LINEAR EQUATION APPLICATION WORKSHEET
1. The cost, y, of producing x units of a product is given by y = 35x + 5000. If the cost is $7625, how
many units are produced?
2. A recipe for holiday bread calls for 6 cups of flour and 2 cups of sugar. You have only 4 ½ cups of
flour. You want to reduce the amount of sugar by the same proportion.
Let x represent the amount of sugar you should use. Which of the following is a correct model for
this situation?
1
4
x
x
6
= 2
b.
a.
=
2
6
2 41
2
3. The length of a rectangle is 3 times its width. The perimeter is 16 meters. What is the width?
4. Suppose you live near a park that has a bike trail you like to ride. The Park Department rents a bike
with safety equipment for $5 a day. If you provide your own safety equipment, the bike rental is $3
a day. You could buy the equipment at a sports store for $28. How many times must you use the
trail to justify buying your own safety equipment?
5. Suppose you live in South Carolina, where the temperature is 69 degrees F and going up at a rate of 2
degrees F an hour. You are talking on the phone to your friend who lives in Iowa, where the
temperature is 84 degrees F and going down at a rate of 3 degrees F an hour. If the temperatures
continue to change at the same rates, how long would you and your friend have to talk before they
would be equal?
6. You and three friends are eating a pizza with 12 pieces. Each person eats the same number of
pieces. Let x represent the number of pieces each person eats. Which of the following equations is
an algebraic model for the situation?
a. 3x = 12
b.
1
x =12
3
c. 4x = 12
d.
1
x = 12
4
7. A rectangle is 1.5 times as large as it is wide. The perimeter of the rectangle is 75 inches. Find the
width of the rectangle.
8. You are the supervisor for a construction project to build a subway track. Over one 200-foot
(horizontal) portion, the track must rise 3 feet. You decide to check the elevation after your crew
has covered 50 of the 200 feet. How much should the track have risen over 50 feet?
3 ft
x
50 ft
200 ft
9. You start a daily flower club and charge $10 to join and $0.50 per day. Every day each member of
the club gets a fresh flower. Let n represent the number of club members and let I represent your
income for four weeks. A model for the situation is I  10  [4  7(0.5)n] .
Write an input-output table that shows your income for 2, 4, 6, 8 and 10 club members.