Classify a system of equations by graphing
Classify a system of equations by graphing
What you'll learn
- Identify, with 80% accuracy, whether a system of equations graphed on a coordinate plane is consistent and independent, consistent and dependent, or inconsistent.
- Graph a system of two linear equations on a coordinate plane, using slope-intercept form, and determine the number of solutions (one, none, or infinite) with 100% accuracy.
- Explain, in their own words, the relationship between the number of intersection points of two lines on a graph and the number of solutions to the corresponding system of equations.
- Given a system of equations, predict whether the system will have one, zero, or infinite solutions based on the slopes and y-intercepts of the equations, and then verify the answer by graphing the system.
Tutorial Preview
How many solutions? y = 2x + 1 and y = -x + 4
How many solutions? y = 3x + 2 and y = 3x - 1
How many solutions? y = x + 5 and 2y = 2x + 10
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 8 Mathematics lesson on ExcelOS.
What will I learn in Classify a system of equations by graphing?
You'll be able to: Identify, with 80% accuracy, whether a system of equations graphed on a coordinate plane is consistent and independent, consistent and dependent, or inconsistent; Graph a system of two linear equations on a coordinate plane….
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.