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Systems of Linear Inequalities #5

For Students 9th - 12th
For this systems of linear inequalities worksheet, students solve 10 multiple choice problems about linear inequalities.  Students determine the maximum and minimum values of systems of linear inequalities.
Lesson Plan
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Linear Programming and the Inequalz App

For Teachers 9th - 12th Standards
Learners graph system of linear inequalities in this lesson plan. Your class will use the Inequality Graphing App to enter linear programming functions into the calculator that can be stored for later use. They then determine the maximum...
Lesson Plan
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Work in Linear Mechanical Systems

For Teachers 11th - 12th
Students are able to identify the units associated with linear work. They are able to calculate the work done on an object. Students discover how the force exerted on an object and the distance the object moves determines the work done...
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Linear Systems: The Column Space

For Students 11th - Higher Ed
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.
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Linear Systems: Eigenvalues and Eigenvectors

For Students 11th - Higher Ed
In this "Eigenvalues and Eigenvectors" instructional activity, students find the eigenvalue of a matrix and explore the properties of eigenvalues with a matrix. This two page instructional activity contains two multi-step problems.
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Linear Systems: Symmetric Matrices

For Students 12th - Higher Ed
In this symmetric matrices worksheet, students explore the characteristics of symmetric matrices. This two-page worksheet contains examples and explanations concerning symmetric matrices. Two problems are provided to solve.
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Linear Systems: Applications of Eiginvalues

For Students 12th - Higher Ed
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.
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Linear Systems: Nullspace Matrix and Rank

For Students 11th - Higher Ed
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...
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Linear Systems: Orthogonality of Vector Spaces of a Matrix

For Students 12th - Higher Ed
For this vector spaces of a matrix worksheet, students decompose any vector into two orthogonal pieces. They identify the nullspace, row space, and find a reduced echelon. This two-page worksheet contains examples and two problems.
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Linear Systems: LU Decomposition

For Students 12th - Higher Ed
In this LU decomposition instructional activity, students multiply matrices, identify the elimination matrices, and the inverse of a matrix. This three-page instructional activity contains approximately six problems.
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Linear Systems: Diagonalizing a Matrix

For Students Higher Ed
In this diagonalizing a matrix worksheet, students explore matrix factorization and use diagonal decomposition. This two-page worksheet contains examples, explanations and four practice problems.
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Linear Systems: Applications of Determinants

For Students 12th - Higher Ed
In this determinant worksheet, learners explore determinants, area and volume. This two-page worksheet contains explanations and examples. It provides two problems for students to solve.
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Linear Systems: Vector Spaces and Subspaces

For Students 12th - Higher Ed
In this vector space worksheet, students find the column space of given matrices, the identify the vector space and determine if the matrix is invertible. This four-page worksheet contains approximately six multi-step problems.
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Linear Systems: Definition of the Nullspace

For Students 11th - Higher Ed
In this nullspace worksheet, students find the nullspace of matrices, write a rectangular matrix upper-triangular form, and convert augmented matrix to echelon form. This six-page worksheet contains approximately 8 problems.
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Linear Systems: Reduced Row Echelon Matrix

For Students 12th - Higher Ed
In this echelon matrix worksheet, learners find the nullspace of matrices by finding the reduced row echelon. This two-page worksheet contains explanations, examples and six problems to complete.
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Linear Systems: Projections

For Students 11th - Higher Ed
For this projection worksheet, students determine the projections of a given matrix. This four-page worksheet contains explanations and examples and approximately ten problems to complete.
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Introduction to Linear Algebra 2.1

For Students 11th - Higher Ed
In this linear equation worksheet, students identify the vector space of a given matrices and find the appropriate system of equations for each of four solutions. Then they solve the system and write their conclusion.
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Linear Graphs and Equations 5.1

For Students 6th
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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Write Equation of a Line given the Slope

For Students 9th - 11th
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.
Lesson Plan
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Equations and Inequalities

For Teachers Higher Ed
Students in a college algebra class use graphs to solve inequalities. Using the coordinate graphing system, they represent the relationship between x and y intercepts. They practice solving equations with complex numbers and locate...
Worksheet
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Systems of Equations

For Students 7th - 10th
In this algebra worksheet, learners factor systems of equations using elimination and substitution. THey graph their lines and find the point of intersection. There are 15 questions.
Lesson Plan
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Review of Systems of Equations

For Teachers 10th - 12th
Students work to complete various algebraic equations using different methods. Given a word problem, students create a poster identifying the various parts of the equation as well as the solution to the problem. Posters are presented...
Lesson Plan
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Introduction to Parametric Equations

For Teachers 9th - 10th
Pupils write and solve parametric equations. In this algebra lesson, students find and eliminate parameter of equations. They graph parametric equations and analyze the graphs.
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Systems of Equations (A)

For Students 6th - 8th
In this systems of equations practice worksheet, middle schoolers use their problem solving skills to solve 24 problems.

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