Algebra I – Two-variable Linear Inequalities Video Study Guide | Complete Playlist

This playlist consists of 8 videos all about two-variable linear inequalities.  Teachers can use these videos to support their lesson plans and engage students.  These videos each cover specific topics and concepts learned in Algebra I classes.  The playlist is an excellent resource for students to review or study for a test or final.  For Common Core alignment, see below.  By the end of this playlist, students will be able to understand and solve problems involving two-variable linear inequalities.

Common Core State Standards Alignment


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.


Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.


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.


(+) Represent a system of linear equations as a single matrix equation in a vector variable.


(+) 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 × 3 or greater).


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, make tables of values, or find successive approximations. Include cases where f(x) and/or g(x) are linear, polynomial, rational, absolute value, exponential, and logarithmic 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.