Matrices help solve systems of equations in chemistry, computer graphics, circuitry, probability, and more. The second lesson in a seven-part series focuses on using matrices to balance chemical equations. Pupils rely on the Law of...

In this simultaneous equations instructional activity, students solve and complete 7 various types of problems. First, they solve graphically the system of equations shown. Then, students find the number of solutions that each pairs of...

In this graphing systems of equations worksheet, 9th graders solve and graph 8 different problems that include solving various systems of equations. First, they use the graphs show to determine whether each system has one solution, no...

In this system of equations learning exercise, students solve 2 problems by creating a system of equations for each problem in order to determine the average intensity of flares from the sun and the average power from a satellite...

Students explore the concept of systems of equations. In this system of equations lesson, students enter data into lists on their calculators about 100 meter dash times. Students plot the points using a scatter plot and perform a linear...

Viewers discover how to solve quadratic-linear systems with a video that first explains the substitution method for solving a system of equations involving a quadratic. Scholars then complete a worksheet of practice problems.

How many large and small watermelons did he sell? Just use the given information to write and solve a system of equations! The two videos accompanying the lesson explain the substitution method and then introduce problem solving. The...

In this system of equations worksheet, learners decide if the addition, subtraction, or substitution method works best for 15 problems of two equations and two unknowns and then use the preferred method to solve the system. Theys are...

In this systems of equations worksheet, students solve nonstandard systems of equations. This five-page worksheet contains twelve problems on the first page. The remainder of the pages contain detailed, handwritten solutions.

Learners solve eight short answer algebra word problems. They write and solve systems of equations in two or three variables given a word problem about integers, perimeter, consecutive numbers, etc.

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...

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...

In this systems of equations learning exercise, students use a graphing calculator to solve systems of equations. Examples and step-by-step instructions for using the graphing calculator are provided. This two-page learning exercise...

In this linear equation worksheet, student read word problems and write and algebraic equations. They use systems of linear equations to solve the problem. This one-page worksheet contains six problems, with answers.

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.

Expand on learners' understanding of quadratic-linear systems. Building on the graphic understanding developed in the previous lesson, pupils learn algebraic methods of solving the systems. 

An intersection is more than just the point where lines intersect; explain this and the meaning of the intersection to your class. The 26th segment in a 33-part series uses graphing to solve systems of equations. Pupils graph linear...

Wait, let's start over — teach your class how to return to the beginning. The first lesson looking at inverse matrices introduces the concept of being able to undo a matrix transformation. Learners work with matrices with a determinant...

In this math worksheet, students solve systems of equations for the value of the variables. They select check boxes to verify the validity of their answers.

Examine the usefulness of matrices when solving linear systems of higher dimensions. The instructional activity asks learners to write and solve systems of linear equations in four and five variables. Using matrices, pupils solve the...

What do your young geniuses really know? Assess the procedural knowledge of your pupils at the same time as their higher-level thinking with an assessment that identifies their depth of knowledge. Topics include solving...

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.

In this Algebra II worksheet, 11th graders determine the solution to a system of one linear and one quadratic equation.  The two page worksheet contains a combination of nine multiple choice and free response questions. ...

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...