Solving Systems of Quadratic Equations WORKSHEET
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.
Solving Systems of Quadratic Equations WORKSHEET DESCRIPTION
The questions in this worksheet will challenge learners to think about the different methods required to solve non-linear systems of equations. Section A provide sets of equations that can easily be manipulated into a “y=” format before solving for x. Section B presents questions that will require more algebraic manipulation and substitution methods. There is an additional extension question based on the area of parts of a flag.
All worksheets are created by the team of experienced teachers at Cazoom Math.

RELATED TO Solving Systems of Quadratic Equations WORKSHEET
Solving Quadratic Equations (C) - By Quadratic Formula
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Using Graphs to Solve Non-Linear Equations
Grades: Algebra II, IM 3

Solving Quadratic Equations (D) - By Completing the Square
Grades: Algebra I, IM 1

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Frequently Asked Questions
This worksheet on solving systems of quadratic equations is designed for IM 3 and Algebra II students. These grade levels typically have the algebraic skills needed to handle the substitution methods and manipulations required for non-linear systems. Students at this level should be comfortable working with quadratic equations and understand how to rearrange equations into different forms.