Illustrative Math Alignment: Grade 8 Unit 3

Linear Equations and Linear Systems

Lesson 5: Solving Any Linear Equation

Use the following Media4Math resources with this Illustrative Math lesson.

Title	Body	Curriculum Topic
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
Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 1	Solving Equations with Angle Measures 2--Example 1 Topic Equations	Solving Multistep Equations and Applications of Quadrilaterals
Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 10	Solving Equations with Angle Measures 2--Example 10 Topic Equations	Solving Multistep Equations and Applications of Quadrilaterals
Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 2	Solving Equations with Angle Measures 2--Example 2 Topic Equations	Solving Multistep Equations and Applications of Quadrilaterals
Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 3	Solving Equations with Angle Measures 2--Example 3 Topic Equations	Solving Multistep Equations and Applications of Quadrilaterals
Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 4	Solving Equations with Angle Measures 2--Example 4 Topic Equations	Solving Multistep Equations and Applications of Quadrilaterals
Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 5	Solving Equations with Angle Measures 2--Example 5 Topic Equations	Solving Multistep Equations and Applications of Quadrilaterals
Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 6	Solving Equations with Angle Measures 2--Example 6 Topic Equations	Solving Multistep Equations and Applications of Quadrilaterals
Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 7	Solving Equations with Angle Measures 2--Example 7 Topic Equations Description This 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
Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 8	Solving Equations with Angle Measures 2--Example 8 Topic Equations Description This 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
Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 9	Solving Equations with Angle Measures 2--Example 9 Topic Equations	Solving Multistep Equations and Applications of Quadrilaterals
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 Resources To see resources related to this topic click on the Related Resources tab above.	Data Analysis
Math in the News: Issue 63--Columbus's Voyages	Math in the News: Issue 63--Columbus's Voyages October 2012. In this issue of Math in the News we look at Columbus' voyages. We make some calculations based on map data. 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 Resources To see resources related to this topic click on the Related Resources tab above.	Data Analysis
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
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 Resources To see additional resources on this topic, click on the Related Resources tab. Quiz Library To see the complete collection of Quizzes, click on this link. ary">click on this link.	Solving Fraction Equations
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 Resources To see additional resources on this topic, click on the Related Resources tab. Quiz Library To see the complete collection of Quizzes, click on this link. ary">click on this link.	Solving Fraction Equations
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 Resources To see additional resources on this topic, click on the Related Resources tab. Quiz Library To see the complete collection of Quizzes, click on this link. ary">click on this link.	Solving Fraction Equations
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 Resources To see additional resources on this topic, click on the Related Resources tab. Quiz Library To see the complete collection of Quizzes, click on this link. ary">click on this link.	Solving Percent Equations
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 Resources To see additional resources on this topic, click on the Related Resources tab. Quiz Library To see the complete collection of Quizzes, click on this link. ary">click on this link.	Solving Percent Equations
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 Resources To see additional resources on this topic, click on the Related Resources tab. Quiz Library To see the complete collection of Quizzes, click on this link. ary">click on this link.	Solving Percent Equations
Promethean Flipchart: Algebra Applications: Honey Production	Honey bees not only produce a tasty treat, they also help pollinate flowering plants that provide much of the food throughout the world. So, when in 2006 bee colonies started dying out, scientists recognized a serious problem. Analyzing statistics from honey bee production allows for a mathematical analysis of the so-called Colony Collapse Disorder. Note: The download for this resources is the Promethean Flipchart. To access the full video [Algebra Applications: Variables and Equations, Segment 2: Honey Production]: https://www.media4math.com/library/algebra-applications-variables-and-equations-segment-2-honey-production	Applications of Equations and Inequalities
Promethean Flipchart: Algebra Nspirations: Variables and Equations	Ever since the mathematics of the Babylonians, equations have played a central role in the development of algebra. Written and hosted by internationally acclaimed mathematics educator Dr. Monica Neagoy, this video traces the history and evolution of equations. It explores the two principal equations encountered in an introductory algebra course – linear and quadratic – in an engaging way. The foundations of algebra are explored and fundamental questions about the nature of algebra are answered. In addition, problems involving linear and quadratic equations are solved using the TI-Nspire graphing calculator. Algebra teachers looking to integrate hand-held technology and visual media into their instruction will benefit greatly from this series.	Applications of Equations and Inequalities
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 Resources To see other resources related to this topic, click on the Resources tab above. Quizlet Library To see the complete Quizlet Flash Card Library, click on this Link to see the collection.	Applications of Quadratic Functions
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 Resources To see other resources related to this topic, click on the Resources tab above. Quizlet Library To see the complete Quizlet Flash Card Library, click on this Link to see the collection.	Applications of Quadratic Functions
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 Resources To see other resources related to this topic, click on the Resources tab above. Quizlet Library To see the complete Quizlet Flash Card Library, click on this Link to see the collection.	Applications of Quadratic Functions
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 Resources To see other resources related to this topic, click on the Resources tab above. Quizlet Library To see the complete Quizlet Flash Card Library, click on this Link to see the collection.	Applications of Quadratic Functions
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 Resources To see other resources related to this topic, click on the Resources tab above. Quizlet Library To see the complete Quizlet Flash Card Library, click on this Link to see the collection.	Applications of Quadratic Functions
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 Resources To see other resources related to this topic, click on the Resources tab above. Quizlet Library To see the complete Quizlet Flash Card Library, click on this Link to see the collection.	Applications of Quadratic Functions
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 Resources To see other resources related to this topic, click on the Resources tab above. Quizlet Library To see the complete Quizlet Flash Card Library, click on this Link to see the collection.	Applications of Quadratic Functions
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 Resources To see other resources related to this topic, click on the Resources tab above. Quizlet Library To see the complete Quizlet Flash Card Library, click on this Link to see the collection.	Applications of Quadratic Functions
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 Resources To see other resources related to this topic, click on the Resources tab above. Quizlet Library To see the complete Quizlet Flash Card Library, click on this Link to see the collection.	Applications of Quadratic Functions
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 Resources To see other resources related to this topic, click on the Resources tab above. Quizlet Library To see the complete Quizlet Flash Card Library, click on this Link to see the collection.	Applications of Quadratic Functions
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 Resources To 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
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 Resources To 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
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 Resources To 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
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 Resources To 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
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 Resources To 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
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 Resources To 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
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 Resources To 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
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 Resources To 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
Quizlet Flash Cards: Solving Quadratic Equations by Factoring, Set 09	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 Resources To 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
Quizlet Flash Cards: Solving Quadratic Equations by Factoring, Set 10	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 Resources To 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
Quizlet Flash Cards: Solving Quadratic Equations Using the Quadratic Formula, Set 01	Solve quadratic equations by using the quadratic formula in this 20-flash card set. The values of the quadratic equation terms are in the range -15 to 15. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related Resources To see the complete collection of Quizlet Flash Cards on this topic, click on this link: https://bit.ly/2Ub2fn5	Quadratic Equations and Functions and Quadratic Formula
Quizlet Flash Cards: Solving Quadratic Equations Using the Quadratic Formula, Set 02	Solve quadratic equations by using the quadratic formula in this 20-flash card set. The values of the quadratic equation terms are in the range -15 to 15. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related Resources To see the complete collection of Quizlet Flash Cards on this topic, click on this link: https://bit.ly/2Ub2fn5	Quadratic Equations and Functions and Quadratic Formula
Quizlet Flash Cards: Solving Quadratic Equations Using the Quadratic Formula, Set 03	Solve quadratic equations by using the quadratic formula in this 20-flash card set. The values of the quadratic equation terms are in the range -15 to 15. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related Resources To see the complete collection of Quizlet Flash Cards on this topic, click on this link: https://bit.ly/2Ub2fn5	Quadratic Equations and Functions and Quadratic Formula
Quizlet Flash Cards: Solving Quadratic Equations Using the Quadratic Formula, Set 04	Solve quadratic equations by using the quadratic formula in this 20-flash card set. The values of the quadratic equation terms are in the range -15 to 15. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related Resources To see the complete collection of Quizlet Flash Cards on this topic, click on this link: https://bit.ly/2Ub2fn5	Quadratic Equations and Functions and Quadratic Formula
Quizlet Flash Cards: Solving Quadratic Equations Using the Quadratic Formula, Set 05	Solve quadratic equations by using the quadratic formula in this 20-flash card set. The values of the quadratic equation terms are in the range -15 to 15. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related Resources To see the complete collection of Quizlet Flash Cards on this topic, click on this link: https://bit.ly/2Ub2fn5	Quadratic Equations and Functions and Quadratic Formula
Quizlet Flash Cards: Solving Quadratic Equations Using the Quadratic Formula, Set 06	Solve quadratic equations by using the quadratic formula in this 20-flash card set. The values of the quadratic equation terms are in the range -15 to 15. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related Resources To see the complete collection of Quizlet Flash Cards on this topic, click on this link: https://bit.ly/2Ub2fn5	Quadratic Equations and Functions and Quadratic Formula
Quizlet Flash Cards: Solving Quadratic Equations Using the Quadratic Formula, Set 07	Solve quadratic equations by using the quadratic formula in this 20-flash card set. The values of the quadratic equation terms are in the range -15 to 15. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related Resources To see the complete collection of Quizlet Flash Cards on this topic, click on this link: https://bit.ly/2Ub2fn5	Quadratic Equations and Functions and Quadratic Formula
Quizlet Flash Cards: Solving Quadratic Equations Using the Quadratic Formula, Set 08	Solve quadratic equations by using the quadratic formula in this 20-flash card set. The values of the quadratic equation terms are in the range -15 to 15. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related Resources To see the complete collection of Quizlet Flash Cards on this topic, click on this link: https://bit.ly/2Ub2fn5	Quadratic Equations and Functions and Quadratic Formula