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Linear Systems: Projections
In this projection worksheet, students explore the intuition behind projections. They calculate the length using the norm and find the projection of a vector. This two-page worksheet contains approximately five problems.
Mathematics Assessment Project
Baseball Jerseys
Batter up! As an assessment task, learners write linear functions to model the cost of baseball jerseys. They then determine which of two companies would charge a cheaper rate to buy baseball jerseys.
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Solving Polynomial Equations
This learning exercise and tutorial explores solving more complex polynomials by graphing each side separately and finding the point of intersection, identifying the sum and differences of cubes, and solving higher degree polynomials by...
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Series Solution of the Time-Independent Schrödinger Equation
In this math worksheet, learners find the solutions to the problems that apply the time-independent Schrödinger equation. They examine the relationship between the mass and energy.
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Numerical Analysis: Discrete Least Squares
In this discrete least squares activity, students use a linear algebra approach to discrete last squares approximation. This two-page activity contains approximately 10 problems.
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Linear Equations x/a = c (B)
In this systems of equations practice worksheet, students use their problem solving skills to solve 24 problems.
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Linear Graphs and Equations 5.1
In these identifying coordinates on a grid, linear graphs, and equations worksheets, 6th graders draw the shapes and letter, complete a table and use it to draw a graph, calculate gradients of lines, determine equations of lines, solve...
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Seven Advanced Algebra Problem Sets
For this advanced algebra worksheet, students solve seven problem sets covering: linear equations, arithmetic sequence, slope, point-slope, median, linear system, substitution method and the elimination method.
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Solving Linear Inequalities
Walk the class through the steps of how to evaluate linear inequalities in one variable and graph the solution set. Define and discuss key vocabulary terms, then have individuals work problems of varying difficulty. Included are word...
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Solving Linear Systems Using Matrices
Start with the definition of a determinant and how to evaluate a 2x2 determinant. Apply this skill to solve systems of two equations with two unknowns by using Cramer's rule. These four basic problems would be good for a quick review or...
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Write Equation of a Line given the Slope
In this algebra worksheet, students solve linear equations using one and two steps. They solve systems of equations using substitution and elimination with graphing. There are links for ready made tests and quizzes.
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Equations of Lines Perpendicular and Parallel
In this algebra learning exercise, learners solve linear equations using one and two steps. They solve systems of equations using substitution and elimination with graphing. There are links for ready made tests and quizzes.
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Tiles, Balances and Equations
In this algebra worksheet, students solve systems of equations using elimination or linear combination. There are 24 questions with an answer key.
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Math 224: Review of Linear Systems
In this linear systems worksheet, students find the intersection of two planes, and identify solutions for a linear equation. This two-page worksheet contains five problems.
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Linear Systems: Graphical Interpretation of Vectors and Linear Systems
In this interpretation of vectors and linear systems learning exercise, students describe the geometric appearance of two vectors. They add the two vectors and sketch the sum as well as the vectors to determine the commutativity of...
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Numerical Analysis: Successive Over-Relaxation for Linear Systems
In this successive linear systems activity, students use a matrix representation of iterative schemes for linear systems. They define a positive definite matrix and explore the Kahan Theorem. This two-page activity contains approximately...
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Linear Systems Quiz 3
In this math activity, students practice finding the solutions to the linear systems. Then they execute the Gaussian elimination process to complete the quiz.
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Linear Systems: Matrix Inverse
In this linear systems worksheet students multiply matrices and find the coefficient matrix in the upper-triangular form. This four-page worksheet contains approximately four problems, with examples and explanations.
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Linear Systems: The Determinant
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...
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Linear Systems: Differential Equations
In this differential equations worksheet, students determine the stability of matrices and evaluate a matrix with an exponent. This two-page worksheet contains examples, explanations, and two problems to solve.
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Using Linear Algebra to Solve Systems of ODE's
In this math worksheet, students examine the coupled differential equations. Then they find the eigenvalues and eigenvectors for the 2x2 matrix.
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Solving Linear Systems by Substitution
Practice solving two equations with two unknowns. Here are five problems for using the substitution method. Included are clear, concise step-by-step instructions for the learner to follow. Problems start out easy and gradually get...
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Linear Systems and Quadratics
In this algebra worksheet, students solve quadratic equations and linear equations. They graph their points and identify where the 2 intersect. There are 10 questions with an answer key.
Raytheon
Equations and Graphing Review
In this equations and graphing review instructional activity, learners write, graph and solve equations for 62 problems, including a mid-unit review, with answers included.