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Instructional Video4:07
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\n\"Solve\n\n
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\nMathispower4u\n
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\nSolve a Linear System of Equations by Graphing (Infinite Solutions) - Example\n

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\n\nFor Students\n\n8th - 11th\n\nStandards\n
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\nWhat does a dependent system look like? Learners view the graphing solution process of a dependent system of linear equations in an informative video. The scholars see that if two equations define the same line on a graph, then there is...\n
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Lesson Plan
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\n\"Geometric\n\n
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\nEngageNY\n
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\nGeometric Interpretations of the Solutions of a Linear System\n

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\n\nFor Teachers\n\n8th\n\nStandards\n
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\nAn intersection is more than just the point where lines intersect; explain this and the meaning of the intersection to your class. The 26th segment in a 33-part series uses graphing to solve systems of equations. Pupils graph linear...\n
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Lesson Plan
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\n\"Another\n\n
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\nEngageNY\n
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\nAnother Computational Model of Solving a Linear System\n

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\n\nFor Teachers\n\n8th\n\nStandards\n
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\nThe process of elimination really works! Use elimination when substitution isn't doing the job. The 29th segment in a series of 33 introduces the elimination method to solving linear systems. Pupils work several exercises to grasp the...\n
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Assessment
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\n\"A\n\n
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\nConcord Consortium\n
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\nA Linear System\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nYoung mathematicians have the hang of graphing with integer coefficients now. Can they generalize what they've learned to equations with variable coefficients? The task asks individuals to verify the solution to the system is (x,y) and...\n
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Instructional Video3:15
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\n\"Solve\n\n
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\nMathispower4u\n
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\nSolve a Linear System of Equations by Graphing (Horizontal and Vertical Lines) - Example\n

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\n\nFor Students\n\n8th - 11th\n\nStandards\n
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\nSolve a pretty straightforward system. Pupils view an educational video showing how to solve a system of linear equations by graphing. The system consists of a horizontal line and a vertical line, making the solution apparent in the...\n
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Instructional Video3:55
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\n\"Solve\n\n
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\nMathispower4u\n
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\nSolve a Linear System of Equations by Graphing (No Solution) - Example\n

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\n\nFor Students\n\n8th - 11th\n\nStandards\n
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\nProvide an inconsistent example. Learners view an algebra video demonstrating how to solve a system of linear equations by graphing. The system does not have any solutions or is inconsistent. Scholars realize that the graphs of the two...\n
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Lesson Plan
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\n\"Linear\n\n
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\nCurated OER\n
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\nLinear Systems and Echelon Forms\n

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\n\nFor Teachers\n\n11th\n
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\nEleventh graders define various types of linear systems and three types of solutions. For this linear system and echelon forms lesson, 11th graders solve a linear system using elementary row operations. Students also describe the set of...\n
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Lesson Plan
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\n\"Solution\n\n
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\nCurated OER\n
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\nSolution Sets and Linear Independence of Vectors\n

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\n\nFor Teachers\n\n11th\n
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\nEleventh graders study homogeneous linear systems. In this linear system of equations lesson plan, 11th graders write linear system solutions in parametric vector form. Students also identify the connection between linear independence...\n
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Worksheet
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\n\"Math\n\n
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\nCurated OER\n
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\nMath 212: Review of Linear Systems\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this linear systems review, students find the intersection of two planes, solve linear systems of equations using matrices, determine the solution set for a linear system. This two-page worksheet contains four problems.\n
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Worksheet
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\n\"Multivariable\n\n
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\nCurated OER\n
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\nMultivariable Calculus: Review of Linear Systems\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nIn this linear system instructional activity, students determine the point of intersection between two lines, they complete linear combination problems. This two-page instructional activity contains four multi-step problems.\n
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Worksheet
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\n\"Math\n\n
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\nCurated OER\n
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\nMath 214 Quiz 8 - Linear Systems\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this linear system instructional activity, students consider the linear system under given parameters. They identify the solution set of a matrix under given cases. This two-page instructional activity contains three problems.\n
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Worksheet
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\n\"Seven\n\n
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\nCurated OER\n
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\nSeven Advanced Algebra Problem Sets\n

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\n\nFor Students\n\n11th - 12th\n
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\nIn 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. \n
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Worksheet
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\n\"Multivariable\n\n
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\nCurated OER\n
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\nMultivariable Calculus: Linear Systems\n

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\n\nFor Students\n\n12th - Higher Ed\n
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\nIn this linear system worksheet, students compute the determinant of a given matrix. They solve systems of equations and compute the inverse of a matrix. This two-page worksheet contains examples, explanations, and three multi-step...\n
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Instructional Video5:53
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\n\"How\n\n
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\nCurated OER\n
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\nHow Do You Solve a System of Inequalities by Graphing?\n

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\n\nFor Teachers\n\n8th - 10th\n
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\nYou've got a linear system of inequalities? You need to solve it by graphing? No sweat. Make sure that each equation is in slope-intercept form and then graph each equation. Is it a solid line or a dashed line? Which side of the line...\n
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Lesson Plan
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\n\"Why\n\n
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\nEngageNY\n
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\nWhy Are Vectors Useful? 2\n

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\n\nFor Teachers\n\n11th - 12th\n\nStandards\n
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\nInvestigate the application of vector transformations applied to linear systems. Individuals use vectors to transform a linear system translating the solution to the origin. They apply their understanding of vectors, matrices,...\n
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Instructional Video6:29
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\n\"How\n\n
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\nCurated OER\n
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\nHow Do You Solve a System of Inequalities by Graphing?\n

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\n\nFor Teachers\n\n6th - 12th\n
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\nYou've got a linear system of inequalities? You need to solve it by graphing? No sweat. Make sure that each equation is in slope-intercept form and then graph each equation. Is it a solid line or a dashed line? Which side of the line...\n
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Activity
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\n\"More\n\n
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\n5280 Math\n
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\nMore or Less the Same\n

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\n\nFor Teachers\n\n8th - 10th\n\nStandards\n
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\nTell the story of the math. Given a graph of a linear system, learners write a story that models the graph before crafting the corresponding functions. Graphs intersect at an estimated point, allowing for different variations in the...\n
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Unit Plan
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\n\"Module\n\n
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\nMathematics Vision Project\n
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\nModule 10: Matrices Revisited\n

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\n\nFor Students\n\n10th - 12th\n\nStandards\n
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\nA matrix is just a fancy way of making a table. Young scholars explore operations with matrices with the first lessons in the final module of a 10-unit Algebra II series. After adding, subtracting, and multiplying matrices, pupils use...\n
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Lesson Plan
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\n\"Systems\n\n
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\nWillow Tree\n
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\nSystems of Equations\n

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\n\nFor Students\n\n8th - 11th\n\nStandards\n
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\nNow that learners figured out how to solve for one variable, why not add another? The lesson demonstrates, through examples, how to solve a linear system using graphing, substitution, and elimination.\n
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Assessment
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\n\"Sandwich\n\n
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\nCCSS Math Activities \n
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\nSandwich Shop\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nEat up the task on systems of equations. Given information on the total number of sandwiches and the total income, learners write and solve a linear system of equations to find the number of each type of sandwich sold at a shop. They...\n
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Instructional Video5:04
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\n\"Age\n\n
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\nKrista King Math\n
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\nAge Word Problems as a System of Two Equations\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nUtilize linear systems to solve age-related word problems. The video tutorial shows how to write and solve a linear system from a set of given information. After solving the system, the instructor explains how to examine the solution for...\n
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Instructional Video2:19
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\n\"Identify\n\n
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\nMathispower4u\n
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\nIdentify the Solution to a System of Equation Given a Graph, Then Verify (Example)\n

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\n\nFor Students\n\n8th - 11th\n\nStandards\n
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\nIs the solution really the solution? Given a graph of a linear system, an informative video shows learners how to determine the solution as the point of intersection. The presenter verifies the solution as a solution to the system by...\n
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Interactive
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\n\"Graphs\n\n
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\nCK-12 Foundation\n
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\nGraphs of Linear Systems: Heart Rate Tracker\n

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\n\nFor Students\n\n8th - 10th\n\nStandards\n
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\nMax out heart rates for males and females. Formulas of maximum heart rates provide the equations for a linear system. Pupils use the interactive to graph the equations for males and females and determine their points of intersection. The...\n
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Instructional Video5:06
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\n\"Find\n\n
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\nMathispower4u\n
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\nFind the Intersection of Two Linear Functions - Example 2\n

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\n\nFor Students\n\n8th - 11th\n\nStandards\n
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\nMake the connection between the intersection of two functions and a system of equations. The class watches an informative algebra video on finding the point of intersection of two linear functions. The presenter shows the steps to prove...\n
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