A-REI.4b

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

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.

Official code: CCSS.MATH.CONTENT.HSA-REI.4b
Short code: A-REI.4b
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.12 12. Graph the solutions to a linear inequality in two variables as a half-plane... 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.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 →