Graph equations of lines using the slope-intercept method or by plotting both x and y intercepts. Determine if two lines are parallel or perpendicular by comparing their slopes. This handout includes step-by-step directions and four...

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...

More than just a one-problem resource, learners must explain their answer and incorporate a writing component to mathematical thinking. The resource also includes an explanation of the solution to help with the reasoning. 

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...

Build a function to solve problems rooted in archeology. A comprehensive set of five lessons presents problems requiring individuals to use functions. The initial lesson asks learners to find the possible number of dinosaurs from a...

What makes this resource special? The amazing answer key that comes with worked out solutions and notes for each problem. Practice problems include all topics ranging from linear systems to simplifying exponential expressions. The...

Put on your Algebra cap because this review provides practice on topics such as linear equations, rational expressions, and function problems. All the questions are multiple choice, and while the focus is on a few main sections,...

In this linear system instructional activity, students compute the determinant of a given matrix. They solve systems of equations and compute the inverse of a matrix. This two-page instructional activity contains examples,...

In this determinant worksheet, students find the determinants of matrices. They identify patterns and their relationship to the canonical matrix. This two-page worksheet contains approximately nine problems, as well as examples and...

Students find the nullspace of the three matrices by finding the reduced row echelon matrix for each in this activity. They convert three matrices to reduced row echelons and show they have only one pivot. Students find the rank of three...

In this math activity, students find the values by factoring a matrix A into the product of a lower triangular matrix L. They also make it into an upper matrix U.

Different equations, same solution. Scholars first find a system with equations y1 and y2 that have a given solution. They then find a different system with equations y3 and y4 that have the same solution. The ultimate goal is to...

Using equations to model events. The resource contains four items that prompt individuals to write and solve basic equations. They must reason abstractly and quantitatively while attending to precision when solving the 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 relationship of lines worksheet, students decide if 8 pairs of linear equations will create lines that are parallel, perpendicular, or intersecting.

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 quadratic linear systems of equations worksheet, students solve ten word problems using systems of equations.  The solutions are provided.

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 I/Algebra II worksheet, learners solve a system of linear equations by graphing.  The one page worksheet contains one problem.  Answer is provided. 

In this linear system worksheet, students determine the point of intersection between two lines, they complete linear combination problems. This two-page worksheet contains four multi-step problems.

In this solving systems of quadratic and linear equations, students complete three problems. The first problem asks students to solve a system of two equations. One of the equations is a quadratic and the other is linear. The second two...

In this differential equations worksheet, students solve systems of simultaneous differential equations using linear algebra. This six-page worksheet contains approximately six problems, with explanations and examples.

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,...

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