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Instructional Video1:15
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\n\"What's\n\n
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\nCurated OER\n
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\nWhat's a Consistent Independent System of Equations?\n

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\n\nFor Teachers\n\n8th - 11th\n
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\nDefine a system of equations with only one solution? Sure! If you have a system of equations with only one solution you'll find that it results in an ordered pair (2,2). This means that those equations intersect at only one point.\n
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\n\nGet Free Access\n\nSee Review\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 Sheet #5 Systems Of Equations\n

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\n\nFor Students\n\n8th - 10th\n
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\nSolve systems of equations using the substitution or elimination method. Kids can practice by solving each of the five problems on this one-page worksheet.\n
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\n\nGet Free Access\n\nSee Review\n
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Instructional Video3:49
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\n\"Graphing\n\n
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\nCurated OER\n
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\nGraphing Systems of Equations - Algebra Help\n

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\n\nFor Teachers\n\n8th - 12th\n
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\nOne way to solve a system of equations is to graph two equations and find the point of intersection. This method is demonstrated on a whiteboard to help your mathematicians understand the concept. An easy way to check your solution is...\n
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Instructional Video7:00
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\n\"Systems\n\n
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\nKhan Academy\n
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\nSystems of Three Variables 2, Systems of Equations and Inequalities, Algebra II\n

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\n\nFor Students\n\n10th - 12th\n
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\nSal uses the elimination method to simplify a system of three variables. Next, he employs the substitution method to check his solution. This resource would nicely complement any lesson on this topic.\n
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Lesson Plan
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\n\"The\n\n
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\nIllustrative Mathematics\n
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\nThe Circle and The Line\n

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\n\nFor Teachers\n\n8th - 12th\n\nStandards\n
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\nHere is a resource where algebra learners show their understanding of a system of equations involving a circle and a line. Once graphed, learners see two points of intersection, one where the ordered pair is read, and a second where...\n
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Lesson Plan
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\n\"Applications\n\n
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\nEngageNY\n
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\nApplications of Systems of Equations and Inequalities\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nIs the application of systems of equations giving your class headaches? Use this resource to build on your pupils' logic to lead them to building equations and using algebraic methods. The lesson begins with an exploration of...\n
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Worksheet
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\n\"Solving\n\n
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\nCurated OER\n
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\nSolving Systems of Equations by Graphing\n

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\n\nFor Students\n\n9th - 11th\n
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\nIn this systems of equations worksheet, students solve each system of equations by graphing on a coordinate plane. Students identify the solution to the equations by the intersection of the two graphs. They also observe that parallel...\n
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Worksheet
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\n\"Solving\n\n
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\nCurated OER\n
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\nSolving Systems of Equations by Substitution\n

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\n\nFor Students\n\n9th - 11th\n
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\nIn this systems of equations worksheet, students solve equations by substitution. Through substitution, students evaluate equations for both x and y. Answers are given as an ordered pair. This two page worksheet contains 16 problems,...\n
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Lesson Plan
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\n\"Solving\n\n
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\nCurated OER\n
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\nSolving Problems Using Systems of Equations\n

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\n\nFor Teachers\n\n10th - 11th\n
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\nFor this system of equation worksheet, students use the substitution and elimination methods to solve systems of equations. Students must read a short story, write the equations the story represents, and then solve the systems of...\n
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Worksheet
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\n\"Solving\n\n
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\nCurated OER\n
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\nSolving Systems of Equations in Three Variables\n

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\n\nFor Students\n\n11th\n
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\nIn this systems of equations worksheet, 11th graders solve and complete 10 different sets of problems that include three variables. First, they simplify each equation and put them in standard form. Then, students choose to eliminate any...\n
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\n\"Systems\n\n
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\nCurated OER\n
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\nSystems of Equations Word Problems\n

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\n\nFor Students\n\n9th - 11th\n
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\nIn this systems of equations worksheet, students read word problems, write equations, and solve the systems of equations. They use graphing, elimination, or substitution to solve the problems. This four page worksheet contains eleven...\n
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\n\"Systems\n\n
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\nCurated OER\n
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\nSystems of Equations in Space Science\n

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\n\nFor Students\n\n9th - 12th\n
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\nIn this system of equations worksheet, students solve 2 problems by creating a system of equations for each problem in order to determine the average intensity of flares from the sun and the average power from a satellite transponder.\n
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Worksheet
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\n\"Solving\n\n
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\nCurated OER\n
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\nSolving Systems of Equations by Substitution\n

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\n\nFor Students\n\n8th - 10th\n
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\nIn this systems of equations instructional activity, students solve 20 problems. The first 6 problems have one equation in the y-intercept form. The following 10 problems have one variable that has a coefficient of +1. The final four...\n
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\n\"Systems\n\n
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\nCurated OER\n
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\nSystems of Equations\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this systems of equations learning exercise, students solve nonstandard systems of equations. This five-page learning exercise contains twelve problems on the first page. The remainder of the pages contain detailed, handwritten...\n
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Unit Plan
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\n\"Saxon\n\n
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\nBenjamin Franklin High School\n
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\nSaxon Math: Algebra 2 (Section 3)\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nIn this third of a twelve-part series, the focus moves from using matrices to solving systems of equations with substitution and elimination, including more than two dimensions and variables in equations, and analyzing statistical data....\n
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Lesson Plan
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\n\"When\n\n
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\nEngageNY\n
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\nWhen Can We Reverse a Transformation? 1\n

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\n\nFor Teachers\n\n11th - 12th\n\nStandards\n
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\nWait, let's start over — teach your class how to return to the beginning. The first lesson looking at inverse matrices introduces the concept of being able to undo a matrix transformation. Learners work with matrices with a determinant...\n
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Lesson Plan
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\n\"Systems\n\n
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\nCurated OER\n
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\nSystems of Equations - Week 6\n

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\n\nFor Teachers\n\n12th - Higher Ed\n
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\nIn this systems of equations worksheet, students solve systems of equations simultaneously. They read story problems, write systems of equations. This two-page worksheet contains eight problems.\n
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\n\nGet Free Access\n\nSee Review\n
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Lesson Plan
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\n\"Systems\n\n
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\nCurated OER\n
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\nSystems of Equations\n

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\n\nFor Teachers\n\n9th - 10th\n
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\nLearners solve systems of equations. For this algebra lesson, students use elimination and substitution to solve for the point of intersection. They use graphing to see where the two lines intersect.\n
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Worksheet
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\n\"Solving\n\n
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\nCurated OER\n
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\nSolving Systems of Equations\n

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\n\nFor Students\n\n12th - Higher Ed\n
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\nIn this systems of equations worksheet, students solve 4 different problems related to various systems of equations. First, they write out and solve the system of equations shown using Maple. Then, students write the system in matrix...\n
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Worksheet
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\n\"Graphing\n\n
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\nCurated OER\n
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\nGraphing Systems of Equations\n

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\n\nFor Students\n\n9th - 11th\n
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\nIn this systems of equations worksheet, students use graphs to solve systems of equations. They determine if the equation contains one solution, no solution, or many solutions. This one-page worksheet contains ten problems.\n
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\n\"Systems\n\n
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\nCurated OER\n
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\nSystems of Equations: Substitution Method\n

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\n\nFor Students\n\n8th - 12th\n
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\nIn this systems of equations worksheet, students solve 6 systems using the substitution method. Students then set up and solve 2 systems of equations word problems, one being a mixture problem.\n
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\n\"Systems\n\n
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\nCurated OER\n
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\nSystems of Equations\n

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\n\nFor Students\n\n9th\n
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\nFor this solving systems of equations worksheet, 9th graders solve and complete 12 different problems algebraically. First, they solve each system of equations using substitution. Then, students solve each system of equations using...\n
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\n\"Systems\n\n
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\nCurated OER\n
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\nSystems of Equations\n

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\n\nFor Students\n\n9th\n
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\nIn this solving systems of equations worksheet, 9th graders solve and complete 6 different problems by graphing each one. First, they determine where the lines are located if a system of two equations has no solution. Then, students...\n
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Worksheet
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\n\"Systems\n\n
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\nCurated OER\n
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\nSystems of Equations\n

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\n\nFor Students\n\n9th\n
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\nIn this graphing systems of equations activity, 9th graders solve and complete 9 different problems. First, they graph each system of equations on the coordinate grids provided. Then, students state their solutions.\n
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