Illustrative Math Alignment: Grade 8 Unit 3
Linear Equations and Linear Systems
Lesson 6: Strategic Solving
Use the following Media4Math resources with this Illustrative Math lesson.
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Math Clip Art--Equations and Inequalities--Equation Models--Balance Scale 2 | Math Clip Art--Equations and Inequalities--Equation Models--Balance Scale 2
This is part of a collection of math clip art images about equations and inequalities. |
Applications of Equations and Inequalities |
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Math Clip Art--Equations and Inequalities--Equation Models--Balance Scale 3 | Math Clip Art--Equations and Inequalities--Equation Models--Balance Scale 3
This is part of a collection of math clip art images about equations and inequalities. |
Applications of Equations and Inequalities |
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Math Clip Art--Equations and Inequalities--Equation Models--Balanced Equation | Math Clip Art--Equations and Inequalities--Equation Models--Balanced Equation
This is part of a collection of math clip art images about equations and inequalities. |
Applications of Equations and Inequalities |
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Math Clip Art--Equations and Inequalities--Equation Models--Balanced Equation 1 | Math Clip Art--Equations and Inequalities--Equation Models--Balanced Equation 1
This is part of a collection of math clip art images about equations and inequalities. |
Applications of Equations and Inequalities |
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Math Clip Art--Equations and Inequalities--Equation Models--Balanced Equation 2 | Math Clip Art--Equations and Inequalities--Equation Models--Balanced Equation 2
This is part of a collection of math clip art images about equations and inequalities. |
Applications of Equations and Inequalities |
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Math Clip Art--Equations and Inequalities--Equation Models--Balanced Equation 3 | Math Clip Art--Equations and Inequalities--Equation Models--Balanced Equation 3
This is part of a collection of math clip art images about equations and inequalities. |
Applications of Equations and Inequalities |
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Math Clip Art--Equations and Inequalities--Equation Models--Unbalanced Equation 1 Left | Math Clip Art--Equations and Inequalities--Equation Models--Unbalanced Equation 1 Left
This is part of a collection of math clip art images about equations and inequalities. |
Applications of Equations and Inequalities |
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Math Clip Art--Equations and Inequalities--Equation Models--Unbalanced Equation 1 Right | Math Clip Art--Equations and Inequalities--Equation Models--Unbalanced Equation 1 Right
This is part of a collection of math clip art images about equations and inequalities. |
Applications of Equations and Inequalities |
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Math Clip Art--Equations and Inequalities--Equation Models--Unbalanced Equation 2 Left | Math Clip Art--Equations and Inequalities--Equation Models--Unbalanced Equation 2 Left
This is part of a collection of math clip art images about equations and inequalities. |
Applications of Equations and Inequalities |
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Math Clip Art--Equations and Inequalities--Equation Models--Unbalanced Equation 2 Right | Math Clip Art--Equations and Inequalities--Equation Models--Unbalanced Equation 2 Right
This is part of a collection of math clip art images about equations and inequalities. |
Applications of Equations and Inequalities |
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Math Clip Art--Equations and Inequalities--Equation Models--Unbalanced Equation 3 Left | Math Clip Art--Equations and Inequalities--Equation Models--Unbalanced Equation 3 Left
This is part of a collection of math clip art images about equations and inequalities. |
Applications of Equations and Inequalities |
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Math Clip Art--Equations and Inequalities--Equation Models--Unbalanced Equation 3 Right | Math Clip Art--Equations and Inequalities--Equation Models--Unbalanced Equation 3 Right
This is part of a collection of math clip art images about equations and inequalities. |
Applications of Equations and Inequalities |
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Math Clip Art--Equations and Inequalities--Equation Models--Unbalanced Equation Left | Math Clip Art--Equations and Inequalities--Equation Models--Unbalanced Equation Left
This is part of a collection of math clip art images about equations and inequalities. |
Applications of Equations and Inequalities |
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Math Clip Art--Equations and Inequalities--Equation Models--Unbalanced Equation Right | Math Clip Art--Equations and Inequalities--Equation Models--Unbalanced Equation Right
This is part of a collection of math clip art images about equations and inequalities. |
Applications of Equations and Inequalities |
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Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 1 | Solving Equations with Angle Measures 2--Example 1TopicEquations |
Solving Multistep Equations and Applications of Quadrilaterals |
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Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 10 | Solving Equations with Angle Measures 2--Example 10TopicEquations |
Solving Multistep Equations and Applications of Quadrilaterals |
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Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 2 | Solving Equations with Angle Measures 2--Example 2TopicEquations |
Solving Multistep Equations and Applications of Quadrilaterals |
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Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 3 | Solving Equations with Angle Measures 2--Example 3TopicEquations |
Solving Multistep Equations and Applications of Quadrilaterals |
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Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 4 | Solving Equations with Angle Measures 2--Example 4TopicEquations |
Solving Multistep Equations and Applications of Quadrilaterals |
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Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 5 | Solving Equations with Angle Measures 2--Example 5TopicEquations |
Solving Multistep Equations and Applications of Quadrilaterals |
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Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 6 | Solving Equations with Angle Measures 2--Example 6TopicEquations |
Solving Multistep Equations and Applications of Quadrilaterals |
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Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 7 | Solving Equations with Angle Measures 2--Example 7TopicEquations DescriptionThis example demonstrates solving equations involving angle measures in a kite. A kite has two pairs of adjacent congruent angles. In this case, we have angles represented as (x+50)°, (x+50)°, (y+20)°, and y°. To solve this problem, we apply two key principles: the sum of angles in a quadrilateral is 360°, and the sum of the angles of a triangle is 180°. You can use the triangle equation to solve for y. Once you determine the value for y, you can use that to find x using either the triangle or the quadrilateral equation. In the solution shown, the triangle equation is used. |
Solving Multistep Equations and Applications of Quadrilaterals |
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Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 8 | Solving Equations with Angle Measures 2--Example 8TopicEquations DescriptionThis example illustrates solving equations involving angle measures in a kite. The kite has two known angles of 70° and 40°, and two unknown angles represented as (x+y)°. To solve this problem, we look at the triangles formed by one of the diagonals of the kite and use the triangle equation. First solve for x with the top triangle. Once you find x, use that value to solve for y in the bottom triangle. You could also use the quadrilateral equation to solve for y. |
Solving Multistep Equations and Applications of Quadrilaterals |
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Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 9 | Solving Equations with Angle Measures 2--Example 9TopicEquations |
Solving Multistep Equations and Applications of Quadrilaterals |
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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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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: 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 |
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Quizlet Flash Cards: Solving Quadratic Equations by Factoring, Set 05 | 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 06 | 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 07 | 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 08 | 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 |
