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Worksheet
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\n\"Logarithmic\n\n
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\nCurated OER\n
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\nLogarithmic Equations\n

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\n\nFor Students\n\n11th - 12th\n
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\nIn this logarithmic worksheet, students solve given logarithm equations. Two problems may be solved by graphing. This one-page worksheet contains ten problems.\n
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Assessment
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\n\"Solving\n\n
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\nMathed Up!\n
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\nSolving Simultaneous Equations Graphically\n

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\n\nFor Students\n\n8th - 11th\n\nStandards\n
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\nThe solution resides at the intersection. Pupils use a short instructional activity to review the process of solving a system of linear equations using graphing. The instructional activity provides completed graphs for most of the items,...\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 Video5:47
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\n\"Determine\n\n
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\nMathispower4u\n
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\nDetermine Solutions to Systems of Linear Equations Graphically (Example)\n

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\n\nFor Students\n\n8th - 11th\n\nStandards\n
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\nPicture the solution. The Mathispower4u Algebra I video uses three examples of finding the solution of a system of linear equations given as a graph. Pupils use their knowledge of linear graphs to also identify the equations for the...\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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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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\n\nGet Free Access\n\nSee Review\n
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Instructional Video2:17
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\n\"How\n\n
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\nCurated OER\n
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\nHow Do You Check Your Answer When You Have Two Equations?\n

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\n\nFor Teachers\n\n7th - 9th\n
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\nShow your class how to check their answers for a system of linear equations. This video clarifies how to plug in answers and solve each equation. This is a straightforward video that could be useful to learners as the work on their...\n
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Instructional Video0:04
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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 Equations by Graphing?\n

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\n\nFor Teachers\n\n8th - 11th\n
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\nTwo equations. What's the solution to this system? How can you solve it? Can you write the two equations in slope-intercept form? Yes, you can. Now graph each equation. Look, the lines intersect. What does that mean? That means that...\n
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Handout
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\n\"Solving\n\n
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\nDel Mar College\n
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\nSolving Systems of Equations\n

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\n\nFor Students\n\n8th - 11th\n\nStandards\n
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\nLets keep the system working and show learners the three ways to solve linear systems of equations. Each method includes step-by-step instructions to work their way through the problem. The same problem is used for each method to show...\n
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Lesson Plan
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\n\"Making\n\n
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\nCurated OER\n
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\nMaking Connections: Matrices, Graph, Linear Systems\n

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\n\nFor Teachers\n\n10th - 12th\n\nStandards\n
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\nIn this set of activities, matrices and equations are explored. They work with matrices using pen and paper as well as graphing calculator. Additionally real-world problems are explored. \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 instructional activity demonstrates, through examples, how to solve a linear system using graphing, substitution, and elimination.\n
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Lesson Plan
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\n\"Solving\n\n
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\nWest Contra Costa Unified School District\n
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\nSolving a System by Substitution\n

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\n\nFor Teachers\n\n8th - 10th\n\nStandards\n
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\nSolving systems by substitution can be a challenging topic in algebra I. Here is a lesson that builds on young scholars' understanding of intercepts to begin the process of substitution, and all work is reinforced graphically to...\n
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Lesson Plan
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\n\"Linear-Quadratic\n\n
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\nWest Contra Costa Unified School District\n
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\nLinear-Quadratic Systems\n

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\n\nFor Teachers\n\n8th - 10th\n\nStandards\n
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\nWhy do I have to learn two different ways to solve linear-quadratic systems? Isn't one way enough? Learners first investigate the three possible situations for linear-quadratic systems (two, one, or zero solutions), then solve such...\n
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Lesson Plan
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\n\"Equations\n\n
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\nCurated OER\n
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\nEquations With Radical Expressions\n

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\n\nFor Teachers\n\n10th - 12th\n
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\nYoung scholars solve systems of equations with radical expressions. After reading real life situation, they translate the problem into algebraic expressions. As a class, students solve quadratic equations and inequalities by graphing...\n
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Worksheet
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\n\"Rotation\n\n
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\nCurated OER\n
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\nRotation of Tasks for Solving Linear Equations\n

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\n\nFor Students\n\n9th - 10th\n
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\nIn this linear systems worksheet, students solve systems of equations using three different methods: substitution, adding and subtracting, and graphing. This two-page worksheet contains three multi-step problems. \n
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Lesson Plan
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\n\"Algebra\n\n
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\nCurated OER\n
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\nAlgebra 2 - Linear Programming\n

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\n\nFor Teachers\n\n10th - 11th\n
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\nStudents read real world problems, determine the variables, and set up the function using algebraic statements. After entering data into the graphing calculator, they display information in the form of graphs and scatter plots. ...\n
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Lesson Plan
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\n\"Applications\n\n
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\nCurated OER\n
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\nApplications Of Rational Functions\n

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\n\nFor Teachers\n\n9th - 12th\n
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\nStudents engage in a lesson that is about relational functions with the application of methods to real life problem situations. They use the examples found in the lesson for the purpose of practice during guided instruction. Students can...\n
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Lesson Plan
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\n\"Collecting\n\n
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\nCurated OER\n
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\nCollecting And Fitting Quadratic Data\n

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\n\nFor Teachers\n\n9th - 12th\n
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\nStudents investigate the concept of using quadratic data to plot coordinates on a plane. They also apply the quadratic formula for a variety of problems with the help of a graphing calculator to draw the parabola for given coordinates.\n
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Lesson Plan
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\n\"The\n\n
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\nCurated OER\n
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\nThe Box Problem\n

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\n\nFor Teachers\n\n8th - 10th\n
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\nYoung scholars create graphic, algebraic and verbal ideas of functions. In this algebra lesson, students graph functions and identify the zeros of the functions. They find the domain and range and classify functions as relation or not.\n
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Worksheet
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\n\"The\n\n
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\nCurated OER\n
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\nThe Quadratic Formula\n

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\n\nFor Students\n\n11th\n
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\nIn this Algebra II worksheet, 11th graders use the quadratic formula to solve quadratic equations and examine the discriminate to determine the number and type of roots a quadratic equation will have.  The two page worksheet...\n
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Lesson Plan
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\n\"The\n\n
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\nCurated OER\n
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\nThe Box Problem\n

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\n\nFor Teachers\n\n9th - 12th\n
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\nStudents investigate the concept of functions and how they are used with polynomials. They practice finding the zeros of functions and graph polynomial functions for the help of giving solutions. Students interpret the curve of a line...\n
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Lesson Plan
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\n\"Exponential\n\n
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\nCurated OER\n
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\nExponential Functions: Half Life and Doubling Time\n

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\n\nFor Teachers\n\n9th - 12th\n
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\nStudents investigate the concept of exponential functions and how they increase in size over time. They simplify the functions in order to find the solutions that are possible and perform analysis of the curved line that is produced when...\n
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Handout
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\n\"Ck\n\n
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\nCK-12 Foundation\n
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\nCk 12: Algebra: Linear Systems: Solve by Graphing & Substitution\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nThis comprehensive study guide highlights the main terms and formulas needed to review linear systems, specifically solving by graphing and substitution. Examples are included.\n
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Unit Plan
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\n\"Coolmath:\n\n
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\nCool Math\n
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\nCoolmath: Systems of Equations Solving by Graphing\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nReference material and practice problems solving a system of equations by graphing.\n
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