Loading...
Back to:
Using Graphs to Solve Non-Linear Equations WORKSHEET
Suitable for Grades: Algebra II, IM 3
CCSS: HSA.REI.B.4
CCSS Description: Solve quadratic equations in one variable. a. Use the method of completing the square to transform any quadratic equation in x into an equation of the form (x – p)2 = q that has the same solutions. Derive the quadratic formula from this form. b. Solve quadratic equations by inspection (e.g., for x2 = 49), taking square roots, completing the square, the quadratic formula, and factoring, as appropriate to the initial form of the equation; recognize when the quadratic formula gives complex solutions and write them as a ± bi for real numbers a and b.
Using Graphs to Solve Non-Linear Equations WORKSHEET DESCRIPTION
This worksheet provides a nice set of questions to help learners solve graphical systems of equations involving quadratics, cubics, and reciprocals. For the first two questions, several graphs are plotted on an axes, and learners will need to read off the solutions based on the equations presented. For the remaining questions, a non-linear graph has been plotted, and learners must plot other linear graphs to solve the given equations, some of which are transformations of the non-linear function.
