Learners must think critically about the graphical and algebraic forms of a system of linear equations in order to come up with their own system when given a point that is the solution to the system.

Solve equations and graph systems of inequalities. Designed as a lesson to reinforce these concepts, learners revisit shading and boundaries along with solving linear inequalities.

Solve a real-world problem of discovering how many doctors and nurses can be hired within budget and building constraints. Using different colored pencils to shade each graph, they then find the intersection points and use these to solve...

If at first you cannot graph, substitute. The lesson introduces the substitution method as a way to solve linear systems if the point of intersection is hard to determine from a graph. The 28th installment of a 33-part series finishes...

Middle and high schoolers solve problems involving linear equations, inequalities, quadratics, radicals, systems of equations, exponents, and polynomials. Many of the problems encompass a review of Algebra I. This 10-page worksheet...

Do you want your budding mathematicians to be able to explain 'why' and not just 'do'? This lesson encourages an understanding of the process of elimination. Pupils are expected to understand how and why the elimination method is a valid...

For this set of activities, matrices and equations are explored. They work with matrices using pen and paper as well as graphing calculator. Additionally real-world problems are explored. 

Learners find the common point of a linear and quadratic system given a graph of the system. Then they find a specific point located only on the parabola.

Ninth graders investigate systems of linear equations.  In this Algebra I lesson plan, 9th graders determine which method is the best for solving a systems:  graphing, substitution, or elimination.  Students choose...

In this algebra worksheet, young scholars solve 9 word problems. Each problem involves two sets of information that students must translate into math symbols. The two equations are then solved for the one solution that is true for both.

Don't throw away those transparency sheets just yet! Young scholars first review inequalities on a number line, then learn about graphing inequalities in the coordinate plane. Finally, they use overhead transparencies to create systems...

Drawing from a scenario of the history of the penny, learners write and solve a system of linear equations from a context.

Mathematical reasoning and linear systems are two of the strategies used to solve this number puzzle. Your learners will enjoy the challenge and the variety of ways to approach this challenge.

How are systems related? Build on your pupils' previous knowledge of solving systems of equations by introducing systems of inequalities. Learners explore similarities between systems of equations and inequalities to make a strong...

Students solve linear systems using slope intercept form. In this algebra lesson plan, students solve equations by rewriting them in the form y = mx + b. They evaluate coordinate pairs to see if they are a solution to the problem....

Students solve systems of equations algebraically. In this algebra lesson, students solve systems using substitution and elimination. They solve linear and quadratic systems.

Students solve systems of equations. In this algebra lesson, students use elimination and substitution to solve for the point of intersection. They use graphing to see where the two lines intersect.

Learners investigate systems of equations as they use the Ti-Navigator to explore scenarios about dog races and NASCAR races. Pupils determine the winner of the race and when opponents pass each other given a speed and distance.

Solve systems of equation using graphing! In this algebra lesson, young scholars use the TI to graph two lines and identify the number of solutions. They perform interactive graphing on the navigator.

Solve systems of equations with your super smart upper graders. They solve systems of equations and then graph two lines to find where they intersect. The focus on the activity is to have learners explore moving a point to...

Students solve systems of inequalities. In this algebra lesson, students solve a system of equation, using substitution, linear combinations and graphing. They identify the number of solution each system produce as infinitely many,...

Here is a resource that helps your algebra learners understand the connection between the graph of two lines, the equations of lines, and the solutions and intersecting points of lines. It would make a great assessment question, but can...

High schoolers graph systems of equation. In this calculus lesson, students graph their lines on a TI calculator. They identify the point of intersection and the type of solution.

Students explore inequalities to determine the optimal solution to maximize a profit for a company. For this linear programming lesson, students discover how to graph inequalities and how to determine the algebraic representation of a...