In this systems of equations worksheet, students solve 2 different problems that include setting up various systems. They compute a given system using matrix operations. Then, students verify that the solution is correct by drawing a set...

In this multiplication of vectors worksheet, students prove that the dot product operation is commutative. They normalize a vector so it has the same direction with a magnitude of one. Students use the angle formula to confirm...

For this graphical interpretation of vectors worksheet, students explore the geometrical appearance of given problems, determine if vector subtraction is commutative and graph a system of equations. This three-page worksheet contains...

In this linear systems worksheet, students explore the dimensions of a matrix. They identify the independent rows and columns. This two-page worksheet contains explanations, examples and four problems to solve.

In this math learning exercise, students practice using the method of elimination to find the solutions to the linear systems. They use the matrices to find the solutions.

In this vector spaces worksheet, students explore the column and rowspace of a matrix. They find the basis of subspaces associated with a given matrix. Students observe the relationship between vectors and the nullspace. This...

In this matrix operations worksheet, students find the dot product of matrices. They use the elimination method to solve linear equations. This two-page worksheet contains explanations, examples and three problems.

In this review of vectors worksheet, learners explore vectors and their uses. They multiply and subtract vectors and identify the linear combinations of given matrices. This two-page worksheet contains approximately ten problems.

In this algebra activity, students graph two linear equations identifying where they cross and how many solutions there are. There are 4 questions with an answer key.

Keep your pets slim, trim, and healthy using mathematics! Pupils use a linear programming model to optimize the amount and type of food to provide to a pet rabbit. They model constraints by graphing inequalities and use them to analyze a...

Just between us, this is a pretty cool lesson! Given two functions with the same slope, learners write three new functions whose outputs are all between the given functions. The question is open-ended, allowing pupils to explore the...

For this vector space worksheet, students explore linearly independent vectors. They identify the row space, null space and subspaces of a given matrix. This four-page worksheet contains approximately eight problems.

In this rectangular matrices activity, students complete solutions to given matrices. They identify the pivot columns and examine the nullspace of a matrix. This four-page activity contains examples, explanations and approximately...

In this dot product worksheet, students explore the multiplication of vectors. This two-page worksheet contains explanations, examples, and approximately ten problems.

For this determinant worksheet, students explore the properties of the determinant. They compute determinants by using the co-factor method, the "big formula" and the product of pivots. This two-page worksheet contains explanations,...

In this column space and nullspace of a matrix worksheet, students are give a three by three matrix. They describe the kind of subspace it is. Students find the nullspace of the matrix.

In this nonlinear equations instructional activity, students use iterative methods for solving systems of nonlinear equations. This four-page instructional activity contains eight multi-step problems.

In this algebra worksheet, learners solve systems of equations using linear and quadratics. They graph their solutions on a coordinate plane. There are 5 questions with an answer key.

Babies grow at an incredible rate! Demonstrate how to model growth using a linear function. Learners build the function from two data points, and then use the function to make predictions.

Your young graphers will collaboratively play their way to a better understanding of the solution set produced by the combining of inequalities. Cooperation and communication are emphasized by the teacher asking questions to guide the...

Use this worksheet as a warm up, a refresher exercise, or a practice after a more detailed lesson on graphing linear inequalities in two variables. Start with boundaries that are horizontal or vertical, then move into graphs with...

Practice with literal equations. Solve for one variable in terms of another.  Find the value of y given specific values of x. This short worksheet would make a good warm-up activity at the beginning of class or a quick assessment at...

This short handout addresses the concept of slope in two different ways: geometrically and analytically. Start with a brief description of slope, then use graphical representations to compare positive vs. negative slope and zero vs....

In this algebra worksheet, students calculate the slope of a line. They graph a linear equation given the slope and y-intercept and identify the slope and y-intercept given a linear graph. There are 15 questions.