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Linear Systems
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...
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Linear Systems: Graphical Interpretation of Vectors
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...
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Linear Systems: Nullspace Matrix
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.
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Using Gauss Jordon to Solve Linear Systems by Elimination
In this math worksheet, students practice using the method of elimination to find the solutions to the linear systems. They use the matrices to find the solutions.
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Linear Systems: Vector Spaces
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...
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Linear Systems: Matrix Operations
In this matrix operations instructional activity, students find the dot product of matrices. They use the elimination method to solve linear equations. This two-page instructional activity contains explanations, examples and three...
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Linear Systems: Review of Vectors
In this review of vectors worksheet, students 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.
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Point of Intersection
In this algebra learning exercise, students graph two linear equations identifying where they cross and how many solutions there are. There are 4 questions with an answer key.
Virginia Department of Education
How Much is that Tune?
Tune in for savings! Scholars investigate pricing schemes for two different online music download sites. After comparing the two, they determine the numbers of songs for which each site would be cheaper.
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Linear Systems: Vector Spaces
In this vector space activity, students explore linearly independent vectors. They identify the row space, null space and subspaces of a given matrix. This four-page activity contains approximately eight problems.
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Linear Systems: Rectangular Matrices
In this rectangular matrices worksheet, students complete solutions to given matrices. They identify the pivot columns and examine the nullspace of a matrix. This four-page worksheet contains examples, explanations and approximately...
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Linear Systems: Lengths and Dot Products
In this dot product instructional activity, students explore the multiplication of vectors. This two-page instructional activity contains explanations, examples, and approximately ten problems.
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Linear Systems: Methods of Computing Determinants
In 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,...
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Linear Systems: Column Space and Nullspace of a Matrix
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.
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Numerical Analysis: Nonlinear Equations
In this nonlinear equations worksheet, students use iterative methods for solving systems of nonlinear equations. This four-page worksheet contains eight multi-step problems.
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Algebraic Solution of a Quadratic, Linear System
In this algebra worksheet, students solve systems of equations using linear and quadratics. They graph their solutions on a coordinate plane. There are 5 questions with an answer key.
Achieve
Ivy Smith Grows Up
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.
Achieve
Rabbit Food
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...
Lane Community College
Review Sheets: College Algebra
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...
MARS, Shell Center, University of Nottingham
Defining Regions Using Inequalities
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...
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Slope of Line
In this algebra worksheet, learners 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.
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Equations of Lines Perpendicular and Parallel
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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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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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.