Unit 3, Lab 1
Description
The objective of this lab is to help students understand what it means for a point to be a
graphical and algebraic solution to a system of linear equations.
Link: https://student.desmos.com/join/2wjg3p
Please, use the link above for this lab.
Pre lab Questions
1. What does a solution to a system of linear equations look like?
2. Does every system of linear equations have a solution? Explain.
Procedure
1. Click on the link and continue to activity.
2. Record ALL your answers below, NOT on screen. DO NOT click on the submit to
class/teacher buttons.
3. For Slides 1 and 2, record your answer ON screen as well.
4. To move on to the next screen, click the arrow at the top of the page. You are able to
go back if you would like to change any answers.
Calculations
1. Point from Slide #1: _______________
2. Point from Slide #2: _______________
3. Slide #3: Is your ordered pair correct? How do you know?
4. Slide #4: What does it mean to be a solution to a linear equation?
5. Slide #5: Is there an ordered pair that is a solution to the linear equations describing
BOTH of the lines graphed on screen? Explain.
6. Slide #6: Is there an ordered pair that is a solution to BOTH of the linear equations
on screen? Explain.
7. Write the definition of the following terms.
a. System of linear equations
b. Solution to a system of linear equations
Exercises
1. Go to slide #8 and find the solution to the graphed system.
2. Does the system on slide #9 have a solution? How do you know?
3. Does the system on slide #10 have a solution? How do you know?
Conclusion questions
1. What does a solution to a system of linear equations look like graphically?
Algebraically?
2. If you are trying to decide whether a system of linear equations has a solution, would
you rather have the equations or the graphs? Why?
3. Go to slide #11. What are the equations of the two lines you graphed whose solution
is (1, 4)?