What do a line and an ellipse have in common? Maybe zero, one, or two points! Learners consider the equation of an ellipse and a line to determine if their graphs have any shared points. They then write a system of equations, including...

Up the difficulty level by solving a system of equations with variable coefficients. Young scholars devise a plan to solve for x and y in terms of a and b. They represent their solutions as expressions and explain their...

Eighth and ninth graders solve five different problems that include solving two equations. They determine the point of intersection in each of the five pairs of equations given. Pupils define point of intersection as the point where two...

In this linear equation activity, students use the iterative method to solve systems of equations. Explanations and examples are provided. This four-page activity contains approximately three problems.

Use 2x2 matrices to move along a line. The second day of a two-day lesson is the 28th installment in a 32-part unit. Pupils work together to create and solve systems of equations that will map a transformation to a given...

In this numerical analysis instructional activity, students solve systems of non-linear equations. Examples and explanation are provided. This two-page instructional activity contains approximately three problems.

In this linear equation worksheet, students solve systems of linear equations by using the substitution and elimination methods. Explanations and examples are provided prior to the problems. There are 20 problems to solve on this...

In this linear systems worksheet, 9th graders solve and complete 24 different problems that include solving various linear systems. First, they read through each example and define the two methods described for solving linear systems of...

In this final exam review worksheet,s students solve systems of equations, polynomials and factor quadratic equations.  They identify the slope of a line and write linear equations.  Students use Cramer's rule, graphing,...

Determine the better deal. Pupils write the equation for the cost of printing tickets from different printers. They compare the costs graphically and algebraicaly to determine which printer has the best deal based upon the quantity of...

Solving systems by substitution can be a challenging topic in algebra I. Here is a lesson that builds on students' understanding of intercepts to begin the process of substitution, and all work is reinforced graphically to build...

In this algebra worksheet, students solve systems of equation through graphing, linear combination and substitution. There are 3 questions.

Let's give parameters a second try. Scholars take a second look at a system of linear equations that involve a parameter. Using their knowledge of solutions of systems of linear equations, learners describe the solution to the system as...

In this systems of linear equations worksheet, students graph two equations on each coordinate grid. All systems are linear. One of the systems is parallel. The others have one point of intersection.

In this system of linear equations worksheet, students solve by using graphing, substitution, and elimination. There are 44 problems.

In this algebraic solutions worksheet, students explore linear equations. They use algebra to solve linear systems of equations. This one-page worksheet contains ten problems.

In this linear systems worksheet, students solve systems of equations using three different methods: substitution, adding and subtracting, and graphing. This two-page worksheet contains three multi-step problems.

In this least squares learning exercise, students solve 6 different problems that include the least squares of numbers. First, they plot 3 points on the axes shown and draw in their best approximating line. Then, students estimate the...

For this linear systems worksheet, students use the substitution method to solve systems of equations. This one-page worksheet contains two multi-step problems.

In this Algebra I/Algebra II instructional activity, learners use graphing to solve a system of linear equations.  The one page instructional activity contains one multiple choice question.  Answer is included.

In this algebra worksheet, high schoolers analyze word problems, define variables, set up a system of linear equations, and solve the system.  There are 7 questions.

In this algebra worksheet, students solve systems of inequality using the graphing method. There are 5 questions with lots of examples and an answer key.

In this algebra instructional activity, students solve system systems of equation. They use addition to solve the problems. There are 6 questions with an answer key.

In this algebra worksheet, students solve two systems of linear equations by substitution. They solve 5 systems by using the elimination method. The final 4 problems involve systems of linear equations, but students are given the option...