Solve the system by graphing the equations (by hand or using technology).
Explain how you could tell, without graphing, that there is only one solution to the system.
Without graphing, determine how many solutions you would expect this system of equations to have. Explain your reasoning.
Try solving the system of equations algebraically and describe the result that you get. Does it match your prediction?
How many solutions does this system of equations have?
Select all systems of equations that have no solutions.
Solve the system without graphing.
Solve the system without graphing.
Select all the dot plots that appear to contain outliers.
Here is a system of equations:
Would you rather use subtraction or addition to solve the system? Explain your reasoning.
Here is a system of linear equations:
Select all the steps that would help to eliminate a variable and enable solving.
What was done to the original system to get the system in Step 1?
Explain why the system in Step 1 shares a solution with the original system.
What was done to the system in Step 1 to get the system in Step 2?
What is the solution to the original system?
This lesson is from Illustrative Mathematics. Algebra 1, Unit 2, Lesson 17. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/1/2/17/index.html ; accessed 26/July/2021.
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Explain why the system in Step 2 shares a solution with that in Step 1.