A-REI.12

High school · High School: Algebra — Reasoning with Equations & Inequalities

12. 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.

Official code: CCSS.MATH.CONTENT.HSA-REI.12
Short code: A-REI.12
Subject: Mathematics
Grade: High school
Domain: High School: Algebra — Reasoning with Equations & Inequalities

More High school High School: Algebra — Reasoning with Equations & Inequalities standards

A-REI.1 Explain each step in solving a simple equation as following from the equality of... A-REI.10 10. Understand that the graph of an equation in two variables is the set of all its... A-REI.11 11. Explain why the x-coordinates of the points where the graphs of the equations y =... A-REI.2 Solve simple rational and radical equations in one variable, and give examples showing... A-REI.3 Solve linear equations and inequalities in one variable, including equations with... A-REI.4 Solve quadratic equations in one variable. A-REI.4a Use the method of completing the square to transform any quadratic equation in x into... A-REI.4b Solve quadratic equations by inspection (e.g., for x² = 49), taking square roots,... A-REI.5 Prove that, given a system of two equations in two variables, replacing one equation... A-REI.6 Solve systems of linear equations exactly and approximately (e.g., with graphs),... A-REI.7 Solve a simple system consisting of a linear equation and a quadratic equation in two... A-REI.8 (+) Represent a system of linear equations as a single matrix equation in a vector variable. A-REI.9 (+) Find the inverse of a matrix if it exists and use it to solve systems of linear...

Working on this standard at home? Get free at-home lessons from Resource Portal AI →