Mathematics Assessment Project
Buying Chips and Candy
As a middle school assessment task, learners first two write equations representing their purchase of chips and candy bars. They then solve the system of equations to find the price of each item.
Concord Consortium
Systematic Solution II
Up the difficulty level by solving a system of equations with variable coefficients. Young scholars devise a plan to solve for x and y in terms of a and b. They represent their solutions as expressions and explain their...
Curated OER
That's a Fine Line You're Walking!
Students experiment with Hiker program to practice real world applications of linear functions and develop their understanding of expressions, relationships, and manipulations involved in writing and graphing linear equations in...
Curated OER
Matrices In Encryption And Decryption Of Codes
Young scholars relate Cryptography to the solving of simultaneous linear equations in matrix notation. They explore various methods of encrypting and decrypting codes. Pupils discuss and solve simultaneous linear equations.
Curated OER
Linear Systems: Least Squares Approximations
In this least squares approximation worksheet, students determine the number of solutions a given linear system has. They find the least square error and the equation of a line of best fit for a set of three points. Students find the...
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Linear Systems: Least Squares Approximations
In this least squares approximation learning exercise, 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 four-page...
Curated OER
Systems of Word Problems
Ninth graders investigate systems of linear equations. In this Algebra I lesson, 9th graders explore word problems that can be solved by using a system of equations. The problems involve such topics as cell phone usage,...
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Linear Systems: Symmetric Matrices
For 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 Determinants
In this determinant worksheet, students 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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Solving a System of Linear and Quadratic Equations
For this Algebra II worksheet, 11th graders use graphing to solve a system of equations in which one equation is linear and the other is quadratic. The three page worksheet contains a combination of nine multiple choice and free...
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Graphing Systems of Equations
In this graphing systems of equations worksheet, 9th graders solve and graph 8 different problems that include solving various systems of equations. First, they use the graphs show to determine whether each system has one solution, no...
Alabama Learning Exchange
Systems on a Mission
Solve systems of equation problems using four different methods: elimination by addition or subtraction, graphing, elimination by multiplication, and substitution. Middle schoolers are then given a series of "missions" to complete.
Curated OER
Systems of Equations in Two Variables
In this algebra worksheet, learners work with pairs of linear equations. Three problems ask students to determine if the given ordered pair is a solution of the system of equations. Learners graph two systems to determine the solution.
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Systems of linear inequalities in standard form
Learners practice graphing linear inequalities and explain their solution sets to the solving of a system of linear equalities graphically and symbolically. They utilize programming techniques in setting up and solving systems of linear...
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Seven Advanced Algebra Problem Sets
In 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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Chapter 5 Solving Problems
Students explore the concept of algebra topics. In this algebra topics lesson, students solve linear and quadratic equations. Students solve systems and factor equations. Students practice problems involving perfect square trinomials and...
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Systems of Linear Inequalities
In this systems of linear inequalities activity, 9th graders solve 10 different problems that include various linear inequalities. First, they solve each equation for y. Then, students graph each individual inequality and locate where...
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Introduction to Parametric Equations
Students 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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Linear Systems: Matrix Multiplication
In this matrix multiplication learning exercise, students multiply matrices and identify the rotation matrix of a given angle. This two-page learning exercise contains examples, explanations and two problems to solve.
Illustrative Mathematics
Solving Two Equations in Two Unknowns
More than just a one-problem resource, learners must explain their answer and incorporate a writing component to mathematical thinking. The resource also includes an explanation of the solution to help with the reasoning.
Curated OER
Solving Systems via Elimination (Multiplication Method)
Ninth graders investigate systems of linear equations. In this Algebra I lesson, 9th graders solve systems of linear equations using the elimination method. Equations are written in standard form.
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MA 371 - Matrices: Solving Systems and Determinants
In this solving systems and determinants worksheet, students solve 4 multi-part short answer problems. Students solving systems of equations using matrices. Students find a basis for row spaces and column spaces. Students find the...
Curated OER
Systems of Linear Inequalities
In this Algebra I/Algebra II worksheet, students use graphing to solve systems of linear inequalities. The two page worksheet contains a combination of five multiple choice and free response questions. Answers are...
Curated OER
Systems of Equations
In this Algebra 2 worksheet, students solve systems of equations and inequalities then graph the solutions on a number line. There are 11 problems to solve.