Applications of Systems
Essential Question: How can systems of equations be used to represent situations
and solve problems?
Students will write a summary on the steps to using systems to solve problems.
Ex1) Tahquitz High sold 300 tickets to a football game and made $1575. If an
adult ticket cost $6 and a child ticket cost $3, how many of each kind of ticket
were sold at the game?
Define the
variables:
Let x =
Let y =
Translate to a Equation 1:
system of
equations:
Method for
solving:
Equation 2:
Circle One:
Graphing
Substitution
Elimination
Essential Question: How can systems of equations be used to represent situations and
solve problems?
Students will write a summary on the steps to using systems to solve problems.
Solve:
Essential Question: How can systems of equations be used to represent situations and
solve problems?
Students will write a summary on the steps to using systems to solve problems.
Answer: (Written in a
complete sentence)
Essential Question: How can systems of equations be used to represent situations and
solve problems?
Students will write a summary on the steps to using systems to solve problems.
Ex2) Sharon and Maria are selling holiday wreaths as a fundraiser for their school.
Sharon sold 10 ivy wreaths and 9 holly wreaths and collected $282. Maria sold 5 of
each type of wreath and collected $150. How much did they charge for each type
of wreath?
Define the
variables:
Let x =
Let y =
Translate to a Equation 1:
system of
equations:
Method for
solving:
Equation 2:
Circle One:
Graphing
Substitution
Elimination
Essential Question: How can systems of equations be used to represent situations and
solve problems?
Students will write a summary on the steps to using systems to solve problems.
Solve:
Essential Question: How can systems of equations be used to represent situations and
solve problems?
Students will write a summary on the steps to using systems to solve problems.
Answer: (Written in a
complete sentence)
Essential Question: How can systems of equations be used to represent situations and
solve problems?
Students will write a summary on the steps to using systems to solve problems.
Ex3) Mr. Kelly, Mr. Brust and Mr. Sullivan all met by one common interest, THE
BOBSLED! In fact they were pretty darn good, they were just one-thousandth of
a second from qualifying for the medals at the 1998 Nagano, Japan Winter
Olympics. While bobsledding, they had to maintain a balance, in terms of
weight. The weight of the bobsled combined with the weight of the three men
couldn’t be over 1200 pounds.
Define the
variables:
Translate to an
Inequality:
Method for
solving:
Let x =
READ A, B C Below.
Let y =
Equation 1:
Circle One:
Graphing
Essential Question: How can systems of equations be used to represent situations and
solve problems?
Students will write a summary on the steps to using systems to solve problems.
a) Create an inequality where x represents the weight of the bobsled and y
represents the weight of the three men. Graph the inequality below. Include
proper labeling on each axis, units and shading.
Essential Question: How can systems of equations be used to represent situations and
solve problems?
Students will write a summary on the steps to using systems to solve problems.
b) If the bobsled weighed 480 pounds what are all the possible weights of the
three men combined?
c) Could the bobsled weigh 520 pounds and the men weigh 685 pounds? Why or
why not? Explain how your answer can be interpreted by using the graph?
Essential Question: How can systems of equations be used to represent situations and
solve problems?
Students will write a summary on the steps to using systems to solve problems.
Homework
Textbook –
Pg. 173 # 37
Pg. 166 #61