This 8+8 page Essentials worksheet and answer key focuses on graphing systems of equations including graphing using a graphing calculator.
- A system whose graph has intersecting lines has one solution.
- A system whose graph has parallel lines, has no solution.
- A system whose graph has the same line for each equation has infinitely many solutions.
Essentials worksheets give students review, guided, and independent practice in preparation for assessment, remediation post-assessment, and as a supplemental resource for RTI - response to intervention. The worksheets can be used in the classroom or as homework and study preparation. They also work well for summer school skills catch-up.
This download contains 16 pages: a 8 page worksheet, plus an easy to use 8 page answer key for the teacher or student/parent.
This Essential Worksheet and Answer Key are included at a significant discount with 28 other Study Guides with Answer Keys here:
Algebra Essentials 29 Study Guide Bundle
Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).
Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); find the solutions approximately, e.g., using technology to graph the functions.
Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.