Illustrative Math Alignment: Grade 8 Unit 3
Linear Equations and Linear Systems
Lesson 11: On Both of the Lines
Use the following Media4Math resources with this Illustrative Math lesson.
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Math Example--Systems of Equations--Solving Linear Systems by Elimination: Example 4 | Math Example--Systems of Equations--Solving Linear Systems by Elimination: Example 4
This is part of a collection of math examples that focus on systems of equations. |
Solving Systems of Equations |
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Math Example--Systems of Equations--Solving Linear Systems by Elimination: Example 5 | Math Example--Systems of Equations--Solving Linear Systems by Elimination: Example 5
This is part of a collection of math examples that focus on systems of equations. |
Solving Systems of Equations |
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Math Example--Systems of Equations--Solving Linear Systems by Elimination: Example 6 | Math Example--Systems of Equations--Solving Linear Systems by Elimination: Example 6
This is part of a collection of math examples that focus on systems of equations. |
Solving Systems of Equations |
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Math Example--Systems of Equations--Solving Linear Systems by Elimination: Example 7 | Math Example--Systems of Equations--Solving Linear Systems by Elimination: Example 7
This is part of a collection of math examples that focus on systems of equations. |
Solving Systems of Equations |
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Math Example--Systems of Equations--Solving Linear Systems by Elimination: Example 8 | Math Example--Systems of Equations--Solving Linear Systems by Elimination: Example 8
This is part of a collection of math examples that focus on systems of equations. |
Solving Systems of Equations |
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Math Example--Systems of Equations--Solving Linear Systems by Elimination: Example 9 | Math Example--Systems of Equations--Solving Linear Systems by Elimination: Example 9
This is part of a collection of math examples that focus on systems of equations. |
Solving Systems of Equations |
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Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 1 | Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 1
This is part of a collection of math examples that focus on systems of equations. |
Solving Systems of Equations |
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Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 10 | Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 10
This is part of a collection of math examples that focus on systems of equations. |
Solving Systems of Equations |
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Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 2 | Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 2
This is part of a collection of math examples that focus on systems of equations. |
Solving Systems of Equations |
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Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 3 | Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 3
This is part of a collection of math examples that focus on systems of equations. |
Solving Systems of Equations |
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Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 4 | Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 4
This is part of a collection of math examples that focus on systems of equations. |
Solving Systems of Equations |
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Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 5 | Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 5
This is part of a collection of math examples that focus on systems of equations. |
Solving Systems of Equations |
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Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 6 | Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 6
This is part of a collection of math examples that focus on systems of equations. |
Solving Systems of Equations |
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Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 7 | Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 7
This is part of a collection of math examples that focus on systems of equations. |
Solving Systems of Equations |
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Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 8 | Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 8
This is part of a collection of math examples that focus on systems of equations. |
Solving Systems of Equations |
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Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 9 | Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 9
This is part of a collection of math examples that focus on systems of equations. |
Solving Systems of Equations |
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Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 1 | Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 1
This is part of a collection of math examples that focus on systems of equations. |
Solving Systems of Equations |
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Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 10 | Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 10
This is part of a collection of math examples that focus on systems of equations. |
Solving Systems of Equations |
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Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 2 | Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 2
This is part of a collection of math examples that focus on systems of equations. |
Solving Systems of Equations |
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Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 3 | Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 3
This is part of a collection of math examples that focus on systems of equations. |
Solving Systems of Equations |
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Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 4 | Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 4
This is part of a collection of math examples that focus on systems of equations. |
Solving Systems of Equations |
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Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 5 | Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 5
This is part of a collection of math examples that focus on systems of equations. |
Solving Systems of Equations |
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Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 6 | Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 6
This is part of a collection of math examples that focus on systems of equations. |
Solving Systems of Equations |
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Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 7 | Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 7
This is part of a collection of math examples that focus on systems of equations. |
Solving Systems of Equations |
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Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 8 | Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 8
This is part of a collection of math examples that focus on systems of equations. |
Solving Systems of Equations |
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Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 9 | Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 9
This is part of a collection of math examples that focus on systems of equations. |
Solving Systems of Equations |
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Math in the News: Issue 6--The BP Oil Spill, a Year Later | Math in the News: Issue 6--The BP Oil Spill, a Year Later
4/25/11. In this issue we discuss the BP oil spill one year after the spill. In particular we look at how damaging oil spills are to marine life and to oxygen levels in the water. This is part of the Math in the News collection. To see the complete collection, click on this link. Note: The download is a PPT file.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Data Analysis |
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VIDEO: Overview of Variables and Equations | VIDEO: Overview of Variables and Equations
What Is a Variable?A variable is a symbol, usually a letter, that can stand for different things. |
Variable Expressions, Applications of Equations and Inequalities and Variables and Unknowns |
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Paper-and-Pencil Quiz: Equations with Fractions (Easy) | Paper-and-Pencil Quiz: Equations with Fractions (Easy)
This is part of a collection of math quizzes on the topic of Equations with Fractions. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.ary">click on this link. |
Solving Fraction Equations |
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Paper-and-Pencil Quiz: Equations with Fractions (Hard) | Paper-and-Pencil Quiz: Equations with Fractions (Hard)
This is part of a collection of math quizzes on the topic of Equations with Fractions. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.ary">click on this link. |
Solving Fraction Equations |
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Paper-and-Pencil Quiz: Equations with Fractions (Medium) | Paper-and-Pencil Quiz: Equations with Fractions (Medium)
This is part of a collection of math quizzes on the topic of Equations with Fractions. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.ary">click on this link. |
Solving Fraction Equations |
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Paper-and-Pencil Quiz: Equations with Percents (Easy) | Paper-and-Pencil Quiz: Equations with Percents (Easy)
This is part of a collection of math quizzes on the topic of Equations with Percents. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.ary">click on this link. |
Solving Percent Equations |
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Paper-and-Pencil Quiz: Equations with Percents (Hard) | Paper-and-Pencil Quiz: Equations with Percents (Hard)
This is part of a collection of math quizzes on the topic of Equations with Percents. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.ary">click on this link. |
Solving Percent Equations |
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Paper-and-Pencil Quiz: Equations with Percents (Medium) | Paper-and-Pencil Quiz: Equations with Percents (Medium)
This is part of a collection of math quizzes on the topic of Equations with Percents. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.ary">click on this link. |
Solving Percent Equations |
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Promethean Flipchart: Algebra Nspirations: Systems of Equations | Written and hosted by internationally acclaimed math educator Dr. Monica Neagoy, this video introduces students to systems of linear equations in two or three unknowns. To solve these systems, the host illustrates a variety of methods: four involve the TI-Nspire (spreadsheet, graphs and geometry, matrices and nSolve) and two are the classic algebraic methods known as substitution and elimination, also called the linear combinations method. The video ends with a summary of the three possible types of solutions. Concepts explored: equations, linear equations, linear systems Note: The download for this resources is the Promethean Flipchart. To access the full video [Algebra Nspirations: Solving Systems of Equations]: https://media4math.com/library/algebra-nspirations-solving-systems-equations |
Applications of Linear Systems |
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Quizlet Flash Cards: Evaluating Quadratic Functions, Set 01 | Description Evaluate quadratic functions of the form f(x) = ax^2 + bx + c in this 20-flash card set. The values of a and b are in the range -10 to 10. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related ResourcesTo see other resources related to this topic, click on the Resources tab above. Quizlet LibraryTo see the complete Quizlet Flash Card Library, click on this Link to see the collection. |
Applications of Quadratic Functions |
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Quizlet Flash Cards: Evaluating Quadratic Functions, Set 02 | Description Evaluate quadratic functions of the form f(x) = ax^2 + bx + c in this 20-flash card set. The values of a and b are in the range -10 to 10. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related ResourcesTo see other resources related to this topic, click on the Resources tab above. Quizlet LibraryTo see the complete Quizlet Flash Card Library, click on this Link to see the collection. |
Applications of Quadratic Functions |
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Quizlet Flash Cards: Evaluating Quadratic Functions, Set 03 | Description Evaluate quadratic functions of the form f(x) = ax^2 + bx + c in this 20-flash card set. The values of a and b are in the range -10 to 10. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related ResourcesTo see other resources related to this topic, click on the Resources tab above. Quizlet LibraryTo see the complete Quizlet Flash Card Library, click on this Link to see the collection. |
Applications of Quadratic Functions |
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Quizlet Flash Cards: Evaluating Quadratic Functions, Set 04 | Description Evaluate quadratic functions of the form f(x) = ax^2 + bx + c in this 20-flash card set. The values of a and b are in the range -10 to 10. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related ResourcesTo see other resources related to this topic, click on the Resources tab above. Quizlet LibraryTo see the complete Quizlet Flash Card Library, click on this Link to see the collection. |
Applications of Quadratic Functions |
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Quizlet Flash Cards: Evaluating Quadratic Functions, Set 05 | Description Evaluate quadratic functions of the form f(x) = ax^2 + bx + c in this 20-flash card set. The values of a and b are in the range -10 to 10. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related ResourcesTo see other resources related to this topic, click on the Resources tab above. Quizlet LibraryTo see the complete Quizlet Flash Card Library, click on this Link to see the collection. |
Applications of Quadratic Functions |
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Quizlet Flash Cards: Evaluating Quadratic Functions, Set 06 | Description Evaluate quadratic functions of the form f(x) = ax^2 + bx + c in this 20-flash card set. The values of a and b are in the range -10 to 10. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related ResourcesTo see other resources related to this topic, click on the Resources tab above. Quizlet LibraryTo see the complete Quizlet Flash Card Library, click on this Link to see the collection. |
Applications of Quadratic Functions |
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Quizlet Flash Cards: Evaluating Quadratic Functions, Set 07 | Description Evaluate quadratic functions of the form f(x) = ax^2 + bx + c in this 20-flash card set. The values of a and b are in the range -10 to 10. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related ResourcesTo see other resources related to this topic, click on the Resources tab above. Quizlet LibraryTo see the complete Quizlet Flash Card Library, click on this Link to see the collection. |
Applications of Quadratic Functions |
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Quizlet Flash Cards: Evaluating Quadratic Functions, Set 08 | Description Evaluate quadratic functions of the form f(x) = ax^2 + bx + c in this 20-flash card set. The values of a and b are in the range -10 to 10. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related ResourcesTo see other resources related to this topic, click on the Resources tab above. Quizlet LibraryTo see the complete Quizlet Flash Card Library, click on this Link to see the collection. |
Applications of Quadratic Functions |
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Quizlet Flash Cards: Evaluating Quadratic Functions, Set 09 | Description Evaluate quadratic functions of the form f(x) = ax^2 + bx + c in this 20-flash card set. The values of a and b are in the range -10 to 10. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related ResourcesTo see other resources related to this topic, click on the Resources tab above. Quizlet LibraryTo see the complete Quizlet Flash Card Library, click on this Link to see the collection. |
Applications of Quadratic Functions |
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Quizlet Flash Cards: Evaluating Quadratic Functions, Set 10 | Description Evaluate quadratic functions of the form f(x) = ax^2 + bx + c in this 20-flash card set. The values of a and b are in the range -10 to 10. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related ResourcesTo see other resources related to this topic, click on the Resources tab above. Quizlet LibraryTo see the complete Quizlet Flash Card Library, click on this Link to see the collection. |
Applications of Quadratic Functions |
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Quizlet Flash Cards: Non-linear Systems | Description In this set of Quizlet flash cards test understanding of nonlinear systems. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related ResourcesTo see other resources related to this topic, click on the Resources tab above. Quizlet LibraryTo see the complete Quizlet Flash Card Library, click on this Link to see the collection. |
Solving Systems of Equations |
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Quizlet Flash Cards: Solving Quadratic Equations by Factoring, Set 01 | Solve quadratic equations by factoring in this 20-flash card set. The values of the quadratic equation terms are in the range -10 to 10. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related ResourcesTo see the complete collection of Quizlet Flash Cards on this topic, click on this link: https://bit.ly/3cwZzXj |
Factoring Quadratics and Quadratic Equations and Functions |
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Quizlet Flash Cards: Solving Quadratic Equations by Factoring, Set 02 | Solve quadratic equations by factoring in this 20-flash card set. The values of the quadratic equation terms are in the range -10 to 10. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related ResourcesTo see the complete collection of Quizlet Flash Cards on this topic, click on this link: https://bit.ly/3cwZzXj |
Factoring Quadratics and Quadratic Equations and Functions |
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Quizlet Flash Cards: Solving Quadratic Equations by Factoring, Set 03 | Solve quadratic equations by factoring in this 20-flash card set. The values of the quadratic equation terms are in the range -10 to 10. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related ResourcesTo see the complete collection of Quizlet Flash Cards on this topic, click on this link: https://bit.ly/3cwZzXj |
Factoring Quadratics and Quadratic Equations and Functions |
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Quizlet Flash Cards: Solving Quadratic Equations by Factoring, Set 04 | Solve quadratic equations by factoring in this 20-flash card set. The values of the quadratic equation terms are in the range -10 to 10. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related ResourcesTo see the complete collection of Quizlet Flash Cards on this topic, click on this link: https://bit.ly/3cwZzXj |
Factoring Quadratics and Quadratic Equations and Functions |
