Classify a system of equations by graphing
Classify a system of equations by graphing
What you'll learn
- Identify, by visually inspecting their graphs, whether a system of two linear equations is consistent independent, consistent dependent, or inconsistent.
- Graph two linear equations on the same coordinate plane, accurately plotting at least three points for each line to ensure accuracy, and determine the solution (if any) from the intersection point(s).
- Explain the relationship between the number of intersection points of the graphs of two linear equations and the number of solutions to the corresponding system of equations, using precise mathematical vocabulary.
- Given a system of two linear equations, predict whether the system will have one solution, no solution, or infinitely many solutions by analyzing the slopes and y-intercepts of the equations when graphed, and then verify the prediction by graphing.
Tutorial Preview
How do the lines for y = x + 1 and y = 4 meet?
How do the lines for y = x + 2 and y = x + 5 meet?
How do the lines for y = 2 * x and y = x + x meet?
Sample Practice Questions
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Frequently asked questions
What grade level is "Classify a system of equations by graphing"?
Classify a system of equations by graphing is a Grade 5 Mathematics lesson on ExcelOS.
What will I learn in Classify a system of equations by graphing?
You'll be able to: Identify, by visually inspecting their graphs, whether a system of two linear equations is consistent independent, consistent dependent, or inconsistent; Graph two linear equations on the same coordinate plane, accurately….
Is "Classify a system of equations by graphing" free to practice?
Yes. You can read the tutorial preview for free, and signing up for a free ExcelOS account unlocks the full tutorial and all practice questions with instant feedback.
How many practice questions are included with Classify a system of equations by graphing?
This lesson includes 25 practice questions across multiple difficulty levels, each with instant feedback and explanations.