Systems of Linear and Quadratic Equations
Common Core (Algebra)
Common Core for Mathematics
Examples, solutions, videos, and lessons to help High School students learn how to solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically. For example, find the points of intersection between the line y = -3x and the circle x2 + y2 = 3.
Suggested Learning Targets
- Solve a system containing a linear equation and a quadratic equation in two variables (conic sections possible) graphically and symbolically.
Solving Linear and Quadratic Systems
How to find the solutions to linear and quadratric systems given a graph, equations, or a context?
Note: In the UK, Systems of Equations are called Simultaneous Equations.
How to solve Systems of Equations with Circle and Linear Equations?
In this lesson, you will learn how to solve quadratic systems of equations using elimination and graphing.
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