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 online interactive reading comprehension worksheet, students respond to 14 multiple choice questions about Hume's Concerning the Principles of Morals. Students may submit their answers to be scored.

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.

Determining the number of solutions is an important stepping stone to higher math. For this case, the resource asks algebra pupils to find a second linear equation for a certain solution of a system. When one is asked for a linear...

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 QR algorithm worksheet, students use the QR algorithm to solve an over-determined system of equations. This two-page worksheet contains 11 problems.

For this modeling in algebra worksheet, 8th graders solve ten different types of algebra problems, including 5 word problems. They first complete each table, describe the pattern used, and determine the 20th and nth term for each....

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.

A jam-packed worksheet has all the topics you would teach in an Algebra II class with a variety of question styles. Starting with function notation and ending with geometric sequences, there really is something for everyone. Each...

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.

In this linear equations worksheet, students problem solve two equations by graphing the solution set of the system in each one.

Young scholars explore inequalities. In this Algebra I lesson, students solve and graph linear inequalities involving addition, subtraction, multiplication, or division.  Young scholars use inequalities to solve and graph real-world...

In this pivot learning exercise, students explore the elimination process, and write a matrix in upper triangular form. They identify equivalent systems. This four-page learning exercise contains examples, explanations, and...

In this math learning exercise, students use the following descriptions of a spring system to write a differential equation of the form my + γy + ky = F(x).

In this linear systems worksheet, learners use matrix multiplication as an elimination technique to solve linear systems. They compare products and explore trends. This four-page worksheet contains explanations, examples and five...

In this least squares approximation instructional activity, students use linear algebra to find the least square error and the equation of a line for given points. They find the equation of a parabola through provided points. This...

In this math worksheet, students find the solution for the Euler equation. Then they simplify the two differential for the functions of g and yp.

In this column space worksheet, students find the column spaces of given matrices. This two-page worksheet contains examples of and explanations. One problem is provided for students to complete.

In this Eigenvalue and Eigenvector worksheet, students examine the applications of matrix exponentiation. This four-page worksheet provides explanations and examples, as well as three problems to complete.

In this nullspace matrix worksheet, students observe the rank and number of independent rows and columns a matrix has. They compute the product of matrices and describe the column space of each. This two-page worksheet contains...