Common Core: Reasoning with Equations & Inequalities
HSA.REI.C9
(+) Find the inverse of a matrix if it exists and use it to solve systems of linear equations (using technology for matrices of dimension 3 x 3 or greater).
October 1, 2018HSA.REI.C5
Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions.
October 1, 2018HSA.REI.C6
Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.
October 1, 2018HSA.REI.C7
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.
October 1, 2018HSA.REI.C8
(+) Represent a system of linear equations as a single matrix equation in a vector variable.
October 1, 2018HSA.REI.D10
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).
October 1, 2018HSA.REI.D11
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, make tables of values, or find successive approximations. Include cases where f(x) and/or g(x) … Read More “HSA.REI.D11”
October 1, 2018HSA.REI.D12
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.
October 1, 2018HSA.REI.A1
Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.
October 1, 2018HSA.REI.A2
Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise.
October 1, 2018HSA.REI.B3
Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.
October 1, 2018