Illustrative Math Alignment: Grade 8 Unit 3

Linear Equations and Linear Systems

Lesson 8: How Many Solutions?

Use the following Media4Math resources with this Illustrative Math lesson.

Title	Body	Curriculum Topic
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
Quizlet Flash Cards: Solving Quadratic Equations Using the Quadratic Formula, Set 09	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 10	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: The Discriminant, Set 01	In this set of 10 interactive flash cards find the mean of four numbers. Press the Options button to decide how to display the flash cards. Press the Play button to auto-play the sequence of flash cards. Press Shuffle to change the order of the cards. 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/2zRaRbH	Quadratic Formula
Quizlet Flash Cards: The Discriminant, Set 02	In this set of 10 interactive flash cards find the mean of four numbers. Press the Options button to decide how to display the flash cards. Press the Play button to auto-play the sequence of flash cards. Press Shuffle to change the order of the cards. 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/2zRaRbH	Quadratic Formula
Quizlet Flash Cards: The Discriminant, Set 03	In this set of 10 interactive flash cards find the mean of four numbers. Press the Options button to decide how to display the flash cards. Press the Play button to auto-play the sequence of flash cards. Press Shuffle to change the order of the cards. 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/2zRaRbH	Quadratic Formula
Quizlet Flash Cards: The Discriminant, Set 04	In this set of 10 interactive flash cards find the mean of four numbers. Press the Options button to decide how to display the flash cards. Press the Play button to auto-play the sequence of flash cards. Press Shuffle to change the order of the cards. 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/2zRaRbH	Quadratic Formula
Quizlet Flash Cards: The Discriminant, Set 05	In this set of 10 interactive flash cards find the mean of four numbers. Press the Options button to decide how to display the flash cards. Press the Play button to auto-play the sequence of flash cards. Press Shuffle to change the order of the cards. 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/2zRaRbH	Quadratic Formula
Quizlet Flash Cards: The Discriminant, Set 06	Find the discriminant 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/2zRaRbH	Quadratic Formula
Quizlet Flash Cards: The Discriminant, Set 07	Find the discriminant 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/2zRaRbH	Quadratic Formula
Quizlet Flash Cards: The Discriminant, Set 08	Find the discriminant 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/2zRaRbH	Quadratic Formula
Quizlet Flash Cards: The Discriminant, Set 09	Find the discriminant 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/2zRaRbH	Quadratic Formula
Quizlet Flash Cards: The Discriminant, Set 10	Find the discriminant 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/2zRaRbH	Quadratic Formula
Techniques for Solving Equations	INSTRUCTIONAL RESOURCE: Tutorial: Techniques for Solving Equations In this tutorial, students are shown the process of solving equations. In particular, they look at the properties of equality that allow for the manipulation of equations in order to arrive at a solution. This is part of a collection of tutorials on a variety of math topics. To see the complete collection of these resources, click on this link. Note: The download is a PPT file. Library of Instructional Resources To see the complete library of Instructional Resources , click on this link.	Applications of Equations and Inequalities
The Equation Game: Teacher's Guide	The Equation Game: Teacher's Guide In this hands-on game using readily available materials in your class or (in the case of virtual learning) home, students learn to model equations. They'll use this model to explore properties of equality and get a concrete grounding in the properties of equations. This is part of a collection of teacher's guides. To see the complete collection of teacher's guides, click on this link. Note: The download is a PDF file. Related Resources To see resources related to this topic click on the Related Resources tab above.	Applications of Equations and Inequalities
Tutorial: Visual Models for Equations	Tutorial: Visual Models for Equations Explore visual models for equations with this interactive.	Addition Expressions and Equations, Subtraction Expressions and Equations and Applications of Equations and Inequalities
Video Definition 1--Equation Concepts--"Not Equal To" Sign	Video Definition 1--Equation Concepts--"Not Equal To" Sign This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.	Numerical and Algebraic Expressions
Video Definition 10--Equation Concepts--Equation	Video Definition 10--Equation Concepts--Equation This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.	Applications of Equations and Inequalities
Video Definition 11--Equation Concepts--Equations in One Variable	Video Definition 11--Equation Concepts--Equations in One Variable This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.	Applications of Equations and Inequalities
Video Definition 12--Equation Concepts--Equations in Two Variables	Video Definition 12--Equation Concepts--Equations in Two Variables This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.	Applications of Equations and Inequalities
Video Definition 13--Equation Concepts--Equivalent Equations	Video Definition 13--Equation Concepts--Equivalent Equations This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.	Applications of Equations and Inequalities
Video Definition 14--Equation Concepts--False Equation	Video Definition 14--Equation Concepts--False Equation This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.	Applications of Equations and Inequalities
Video Definition 15--Equation Concepts--Identity Equation	Video Definition 15--Equation Concepts--Identity Equation This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.	Applications of Equations and Inequalities
Video Definition 16--Equation Concepts--Inequation	Video Definition 16--Equation Concepts--Inequation This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.	Inequalities
Video Definition 17--Equation Concepts--Isolating the Variable	Video Definition 17--Equation Concepts--Isolating the Variable This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.	Variables and Unknowns
Video Definition 18--Equation Concepts--Left Side of the Equation	Video Definition 18--Equation Concepts--Left Side of the Equation This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.	Applications of Equations and Inequalities
Video Definition 19--Equation Concepts--Linear Equation	Video Definition 19--Equation Concepts--Linear Equation This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.	Applications of Linear Functions
Video Definition 2--Equation Concepts--Addition Property of Equality	Video Definition 2--Equation Concepts--Addition Property of Equality This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.	Applications of Equations and Inequalities
Video Definition 20--Equation Concepts--Literal Equation	Video Definition 20--Equation Concepts--Literal Equation This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.	Applications of Equations and Inequalities
Video Definition 21--Equation Concepts--Multi-Step Equation	Video Definition 21--Equation Concepts--Multi-Step Equation This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.	Solving Multistep Equations
Video Definition 22--Equation Concepts--Multiplication Property of Equality	Video Definition 22--Equation Concepts--Multiplication Property of Equality This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.	Applications of Equations and Inequalities
Video Definition 23--Equation Concepts--Nonlinear Equation	Video Definition 23--Equation Concepts--Nonlinear Equation This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.	Applications of Equations and Inequalities
Video Definition 24--Equation Concepts--Numerical Expression	Video Definition 24--Equation Concepts--Numerical Expression This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.	Numerical Expressions
Video Definition 25--Equation Concepts--One-Step Equation	Video Definition 25--Equation Concepts--One-Step Equation This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.	Solving One-Step Equations
Video Definition 26--Equation Concepts--Polynomial Equation	Video Definition 26--Equation Concepts--Polynomial Equation This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.	Polynomial Functions and Equations
Video Definition 27--Equation Concepts--Quadratic Equation	Video Definition 27--Equation Concepts--Quadratic Equation This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.	Quadratic Equations and Functions
Video Definition 28--Equation Concepts--Reflexive Property of Equality	Video Definition 28--Equation Concepts--Reflexive Property of Equality This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.	Applications of Equations and Inequalities
Video Definition 29--Equation Concepts--Right Side of the Equation	Video Definition 29--Equation Concepts--Right Side of the Equation This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.	Applications of Equations and Inequalities
Video Definition 3--Equation Concepts--Algebraic Equation	Video Definition 3--Equation Concepts--Algebraic Equation This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.	Applications of Equations and Inequalities