Level 1
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How many solutions does this system have?
What is 1 solution
Solve using substitution
y=6x-11
-2x-3y=-7
What is (2,1)
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How many solutions does the system have and what does it mean in terms of the situation?
What is
1 solution
Both cell phone plans cost $20 when 10 minutes is used
Michaela’s mom is trying to decide between two plumber companies to fix her sink. The first company charges $50 for a service call, plus an additional $36 per hour for labor. The second company charges $35 for a service call, plus an additional $39 per hour of labor. At how many hours will the two companies charge the same amount of money?
At 5 hours both companies charge $230
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How many solutions does this system have?
What is no solutions
Solve using Elimination
-4x-2y=-12
4x+8y=-24
What is (6,-6)
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How many solutions does the system have and what the solution represent?
What is
1 solution
Both the veteran and beginner plan cost $100 at 4 months
Last week you and your friends went to the local taco shop and bought 3 soft tacos and 3 burritos for $11.25. This week you and your friends purchased 4 soft tacos and 2 burritos from the same taco shop which cost $10. Determine the cost of each taco and the cost of each burrito.
1 burrito cost $2.50
Ask Ms. Simms for the graph
How many solutions does this system have?
What is infinitely many solutions
Use substitution to solve the following
2x-y=13
y=-2x+13
What is
(6.5, 0)
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How many solutions does the system have and what does it mean?
What is
No solutions
Both clubs start with different amounts of tickets but sale the same amount every day.
The school that Lisa goes to is selling tickets to the annual talent show. On the first day of ticket sales the school sold 4 senior citizen tickets and 5 student tickets for a total of $102. The school took in $126 on the second day by selling 7 senior citizen tickets and 5 student tickets. What is the price each senior citizen ticket? What is the price of each student ticket?
What is
1 senior citizen ticket cost $8
1 student ticket cost $14
What does it mean for a system to have a solution?
Both equations in the system share an ordered pair (x,y)
Solve using elimination
2x+8y=6
-5x-20y=-15
What is infinitely many solutions
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How many solutions does the system have and what the solution represent?
What is
No solution
The cost for the water slide and obstacle course will never have the same hours with the same cost because they start at different prices but charge the same per hour.
Renee went to the fun park. She rode the water slide 5 times and the Ferris wheel twice which cost $20 in total. Tony rode the water slide 3 times and the Ferris wheel 3 times which cost $21. How much does it cost to go on the water slide? How much does it cost to ride the Ferris wheel?
What is
Water Slide cost $2 per ride
Ferris wheel cost $5 per ride
The following system has no solutions, how can you prove that without graphing or solving?
y=-2x+10
y= -2x-1
What is they have the same slope
Solve using any method
-3x+3y=4
-x+y=3
What is no solution
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How many solutions does the system have and what does it represent?
What is
Infinitely many
Both Accounts start with the same amount of money and increase by the same amount of money each month.
Create a scenario to represent the following system
4x+8y=44
3x+10y=45
Answers vary, check your answer with Ms. Simms