Download 8-5 Systems of Equations Word Problems

SWBAT: Solve system of linear equation word problems
Lesson 8-5
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SWBAT: Solve system of linear equation word problems
Lesson 8-5
System of equations number problems.
1) The sum of two numbers is 8.
2) The difference of two numbers is 4.
If three times the first number is equal to the
If twice the larger number is equal to three
second number, find the numbers.
times the smaller number increased by two,
what are the numbers?
System of equations money problems
3) A company that offers tubing trips down a river rents tubes for a person to use and “cooler”
tubes to carry food and water. A group spends $270 to rent a
total of 15 tubes. A one-person tube costs $20 each and a
“cooler” tube costs $12.50 each.
a) Write a system of linear equations that represents this
situation.
b) How many of each type of tube does the group rent?
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SWBAT: Solve system of linear equation word problems
Lesson 8-5
4) Brianna’s family spent $134 on 2 adult tickets and 3 youth tickets at an amusement park.
Max’s family spent $146 on 3 adult tickets and 2 youth tickets.
What are the prices of a youth and adult ticket?
System of equations geometry problems
5)
A rectangle has a perimeter of 204 feet. Its length is six feet longer than twice its width. If L
stands for the length of the rectangle and W stands for its width, write a system of equation
and find the length and width of this rectangle.
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SWBAT: Solve system of linear equation word problems
Lesson 8-5
6) The length of a rectangle is 3 more than its width.
The perimeter of the rectangle is 58 cm. What are the rectangle’s dimensions?
7) Sam spent $24.75 to buy 12 flowers for his mother. The bouquet contained roses and
daisies. Each rose cost $2.50 and each daisy cost $1.75. How many of each type of
flower did Sam buy?
Write a system. Use r for the number of roses and d for the
number of daisies.
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SWBAT: Solve system of linear equation word problems
Lesson 8-5
LESSON PRACTICE
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SWBAT: Solve system of linear equation word problems
Lesson 8-5
LESSON PRACTICE
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SWBAT: Solve system of linear equation word problems
Lesson 8-5
LESSON PRACTICE ANSWERS
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SWBAT: Solve system of linear equation word problems
Lesson 8-5
Extra Practice
8) Jack bought 3 slices of cheese pizza and 4 slices of mushroom pizza for a total cost of $12.50.
Grace bought 3 slices of cheese pizza and 2 slices of mushroom pizza for a total cost of
$8.50. Write a system of equations. What is the cost of one slice of cheese and mushroom
pizza?
9) The Lees spent $31 on movie tickets for 2 adults and 3 children. The Macias spent $26 on
movie tickets for 2 adults and 2 children. What are the prices for adult and child movie
tickets?
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SWBAT: Solve system of linear equation word problems
Lesson 8-5
10) Adult tickets for the school musical sold for $3.50 and student tickets sold for $2.50.
Three hundred twenty-one tickets were sold altogether for $937.50. How many of each
kind of ticket were sold?
11) The cost of 3 markers and 2 pencils is $1.80. The cost of 4 markers and 6 pencils is
$2.90. What is the cost of each item? Include appropriate units in your answer.
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