Worksheet
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Linear Systems

For Students 9th - 11th
In this linear systems worksheet, students solve and complete 10 different problems that include writing each as a linear equation. First, they write the systems of linear equations represented by each matrix equation. Then, students...
Worksheet
Curated OER

Solving Systems of Linear Equations

For Students 7th - 9th
For this systems of linear equations worksheet, students use both the elimination and the substitution methods to solve 20 problems involving systems of two linear equations.
Worksheet
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Numerical Analysis: Successive Over-Relaxation for Linear Systems

For Students Higher Ed
In this successive linear systems worksheet, 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 worksheet contains...
Worksheet
Curated OER

Linear Systems: Graphical Interpretation of Vectors

For Students 11th - Higher Ed
In this graphical interpretation of vectors instructional activity, students execute operations of addition and multiplication by a scalar. They sketch results and determine the commutativity of vector addition. This three-page...
Worksheet
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Linear Systems: Matrix Inverse

For Students 11th - Higher Ed
In this linear systems learning exercise students multiply matrices and find the coefficient matrix in the upper-triangular form. This four-page learning exercise contains approximately four problems, with examples and explanations.
Worksheet
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System of Linear Equations - Word Problems

For Students 9th - 12th
For this algebra worksheet, students analyze word problems, define variables, set up a system of linear equations, and solve the system.  There are 7 questions.
Lesson Plan
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Solving a Pair of Linear Equations by Graphing

For Teachers 9th - 12th Standards
Teach your math lovers how to solve linear equations by graphing. Students identify pairs of coordinates and use it to graph a line and use the TI to graph and observe the line.
Lesson Plan
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Peter's Third String

For Teachers 6th - 9th
Explore the solution to a word problem involving area and perimeter. Learners read and discuss how to approach the problem. In small groups, they determine the maximum area of a rectangle with a given perimeter using a piece of string....
Interactive
CK-12 Foundation

Systems of Linear Equations in Three Variables: Intersecting Planes - No Solution

For Students 9th - 12th
How many different ways can three planes intersect? The interactive provides three movable planes. Pupils manipulate the planes to determine the number of solutions possible based upon their intersections.
Worksheet
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Linear Systems Review Problems

For Students Higher Ed
In this linear systems learning exercise, students identify the requirements for two linear systems to have at least one solution. They find a matrix with no zero entries that has the given fully reduced form. Students use row reduction...
Worksheet
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Math 214 Quiz 10 - Linear Systems

For Students Higher Ed
In this linear systems activity, students find the parameter of a given matrix, and solve linear systems. This two-page activity contains four problems.
Worksheet
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Solving Linear Systems by Substitution #1

For Students 6th
In this problem solving learning exercise, 6th graders work out and solve 4 mathematical equations involving linear systems by substitution #1.
Worksheet
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Solving Linear Systems by Graphing

For Students 9th
In this linear systems worksheet, 9th graders solve and complete 4 different problems by graphing. First, they graph the first equation shown. Then, students graph the second equation on the same coordinate system as the first. They also...
Worksheet
Curated OER

Solving Linear Systems By Graphing

For Students 10th - 12th
In this graphing worksheet, students solve 2 linear systems by graphing the equations on the given x/y axis. They record their answers in the graph.
Worksheet
Curated OER

Multivariable Calculus: Linear Systems

For Students 11th - Higher Ed
In this linear systems activity, students perform matrix multiplication. This two-page activity contains examples, explanations, definitions, and four problems.
Worksheet
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Linear Systems: Using Matrix Operations

For Students Higher Ed
In this matrix operations worksheet, students convert a system of linear equations into a matrix. This four-page worksheet contains explanations, examples and four problems.
Worksheet
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Linear Systems Review for Exam 1

For Students 11th - Higher Ed
In this math instructional activity, students practice reviewing for the exam that focuses upon the concept of linear systems. They draw a concept map for the review topics listed.
Worksheet
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Linear Systems Quiz 4

For Students 11th - Higher Ed
In this math worksheet, students review the concepts needed for quiz 4. Then they practice finding the answers to the linear systems using elimination.
Worksheet
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Linear Systems Quiz 3

For Students 11th - Higher Ed
In this math activity, students practice finding the solutions to the linear systems. Then they execute the Gaussian elimination process to complete the quiz.
Worksheet
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Linear Systems Quiz 6

For Students 11th - Higher Ed
In this math worksheet, students practice finding the solutions for the linear systems in the form of a quiz. They focus upon finding the eigenvalues and eigenvectors of a matrix.
Worksheet
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Worksheet #7

For Students 9th - 11th
In this maximum and minimum of values worksheet, students solve 4 problems, two of which are word problems, related to determining values of a given variable. First, they find the maximum value of P subject to its constraints. Then,...
Worksheet
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Determining the Point of Intersection Using the TI-83 Plus Calculator

For Students 8th - 10th Standards
Middle and high schoolers graph two lines and identify the point of intersection of each set of line. They use the TI calculator to help them graph and solve. There are six questions with detailed instruction on how to graph correctly.
Lesson Plan
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Systems of Linear Inequalities 2

For Teachers 9th - 12th Standards
Students solve systems of inequalities. For this lesson, they identify the solution of the two lines and shade the solution. They identify the boundary line and the region representing the solution.
Worksheet
Curated OER

Solving Systems of Inequalities

For Students 9th - 11th
In this algebra worksheet, students solve systems of inequality using the graphing method. There are 5 questions with lots of examples and an answer key.

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