Bell Ringer:Solve each system.

1) 4x – 6y = -4 8x + 2y = 48

2) y = x -2 4x + 2y = 14

Agenda:• Last minute study guide questions?• Quiz!• Systems of Equations Word Problems

Bell Ringer 2The difference of two numbers is three. Their sum is 13. Find the

numbers. (Make a system of equations!)

x – y = 3X + y = 13

x= 8, y=5

LEQ:

How do you interpret solutions to systems of equations?

Word Problems

In the first 10 minutes of selling tickets at the Cinema Center, Grace sold 21 tickets for a total of $216. Student tickets are $8 while adult tickets are $11. How many of each ticket did she sell?

Step #1: Identify the variables

In the first 10 minutes of selling tickets at the Cinema Center, Grace sold 21 tickets for a total of $216. Student tickets are $8 while adult tickets are $11. How many of each ticket did she sell?

s = # of student ticketsa = # of adult tickets

Step #2: Write the system of equations

In the first 10 minutes of selling tickets at the Cinema Center, Grace sold 21 tickets for a total of $216. Student tickets are $8 while adult tickets are $11. How many of each ticket did she sell?

s = # of student ticketsa = # of adult tickets

Step #3: Solve using elimination or substitution

In the first 10 minutes of selling tickets at the Cinema Center, Grace sold 21 tickets for a total of $216. Student tickets are $8 while adult tickets are $11. How many of each ticket did she sell?

s = # of student ticketsa = # of adult tickets

Step #4: Check your answer

s = # of student ticketsa = # of adult tickets

Step #5: Write your answer in a sentence to demonstrate your

understanding of what you’ve found.

Grace sold ________ student

tickets and _______ adult

tickets.

In the first 10 minutes of selling tickets at the Cinema Center, Grace sold 21 tickets for a total of $216. Student tickets are $8 while adult tickets are $11. How many of each ticket did she sell?

Re-cap the steps to solving a system of linear equations word

problems.

#1 Identify the variables#2 Write the system of equations #3 Solve using substitution or elimination#4 Check your answer#5 Write your answer in a sentence to demonstrate your understanding of what you’ve found.

Word ProblemsA landscaping company placed two orders from a nursery. One order was for six trees and five bushes and totaled $453. The second order was for two trees and one bush and totaled $133. What was the cost for one tree and one bush?

A landscaping company placed two orders from a nursery. One order was for six trees and five bushes and totaled $453. The second order was for two trees and one bush and totaled $133. What was the cost for one tree and one bush?

Step #1: Identify the variables

t = cost for one treeb = cost for one bush

Step #2: Write the system of equations

t = cost for one treeb = cost for one bush

A landscaping company placed two orders from a nursery. One order was for six trees and five bushes and totaled $453. The second order was for two trees and one bush and totaled $133. What was the cost for one tree and one bush?

Step #3: Solve using elimination or substitution

t = cost for one treeb = cost for one bush

A landscaping company placed two orders from a nursery. One order was for six trees and five bushes and totaled $453. The second order was for two trees and one bush and totaled $133. What was the cost for one tree and one bush?

Step #4: Check your answer

t = cost for one treeb = cost for one bush

Step #5: Write your answer in a sentence to demonstrate your

understanding of what you’ve found.

A tree is _______ and a bush is

_______.

A landscaping company placed two orders from a nursery. One order was for six trees and five bushes and totaled $453. The second order was for two trees and one bush and totaled $133. What was the cost for one tree and one bush?

There are different types of word problems…

Look at the back of your notes…What do you see?

3) Mix

Ethan bought a total of 5 pounds of Skittles and M&Ms for a total of $23.15. Skittles cost $3.64 per pound and M&Ms cost $4.96 per pound. How many pounds of each candy did Ethan buy?

4) Two numbers

The sum of two numbers is 25. Twice the first number minus the second number is 2. What are the two numbers?

5) MoneyHope took her piggy bank to the bank to deposit it. The teller counted the coins for a total of $26.88 then accidentally dropped the coins on the floor. The teller cleaned up the pennies and quarters with a total of $19.28. Hope cleaned up the 90 nickels and dimes. How many nickels and dimes did Hope have?

6) AgeThis year a daughter’s age times 12 is her mother’s age. Four years from now, the mother’s age is 19 more than three times the daughter’s age. How old are the mother and daughter this year?

Summarize what we did today…

How do you know what your variables are?They are whatever the question is asking.

Summarize what we did today…

How do you know what your equations are?Use the information in the problem to write 2 equations.

End “Systems Word Problems”