Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 8 Unit 3

Linear Equations and Linear Systems

Lesson 9: When Are They the Same?

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Topic
Quizlet Flash Cards: Evaluating Quadratic Functions, Set 02 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

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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 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 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 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 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 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 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 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 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: Non-linear Systems 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 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.

Solving Systems of Equations
QuizletFlashCards.jpg 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
QuizletFlashCards.jpg 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
QuizletFlashCards.jpg 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
QuizletFlashCards.jpg 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
QuizletFlashCards.jpg 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
QuizletFlashCards.jpg 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
QuizletFlashCards.jpg 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
QuizletFlashCards.jpg 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
QuizletFlashCards.jpg 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
QuizletFlashCards.jpg 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
QuizletFlashCards.jpg 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
QuizletFlashCards.jpg 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
QuizletFlashCards.jpg 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
QuizletFlashCards.jpg 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
QuizletFlashCards.jpg 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
QuizletFlashCards.jpg 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
QuizletFlashCards.jpg 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
QuizletFlashCards.jpg 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
QuizletFlashCards.jpg 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
QuizletFlashCards.jpg 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
QuizletFlashCards.jpg Quizlet Flash Cards: Solving Systems Using the Elimination Method

In this set of Quizlet flash cards test understanding of solving systems using the elimination method.

Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards.

Related Resources

To see the complete Quizlet Flash Card Library, click on this link: https://media4math.com/Quizlet-Resources
Solving Systems of Equations
QuizletFlashCards.jpg Quizlet Flash Cards: Solving Systems Using the Substitution Method

In this set of Quizlet flash cards test understanding of solving systems using the substitution method.

Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards.

Related Resources

To see the complete Quizlet Flash Card Library, click on this link: https://media4math.com/Quizlet-Resources
Solving Systems of Equations
QuizletFlashCards.jpg Quizlet Flash Cards: Systems of Linear Equations

In this set of Quizlet flash cards test understanding of linear systems.

Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards.

Related Resources

To see the complete Quizlet Flash Card Library, click on this link: https://media4math.com/Quizlet-Resources
Solving Systems of Equations
QuizletFlashCards.jpg 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
QuizletFlashCards.jpg 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
QuizletFlashCards.jpg 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
QuizletFlashCards.jpg 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
QuizletFlashCards.jpg 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
QuizletFlashCards.jpg 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
QuizletFlashCards.jpg 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
QuizletFlashCards.jpg 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
QuizletFlashCards.jpg 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
QuizletFlashCards.jpg 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 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 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 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 Video Definition 1--Equation Concepts--"Not Equal To" Sign

Topic

Equations

Description

The Not Equal To Sign (≠) indicates two expressions are not equal, forming an inequation. For example, 2 + 1 ≠ 4 and x + 3 ≠ x are inequations. This term builds on equality concepts by introducing inequalities, critical for exploring a broader range of mathematical statements.

Numerical and Algebraic Expressions
Video Definition 10--Equation Concepts--Equation Video Definition 10--Equation Concepts--Equation Video Definition 10--Equation Concepts--Equation

Topic

Equations

Description

An Equation is a mathematical statement that says two expressions are equal to each other. Equations can be true or false, as shown in examples like 1 + 1 = 2 (true) and 1 + 2 = 4 (false). This term introduces the concept of equality and sets the foundation for understanding other types of equations.

Applications of Equations and Inequalities
Video Definition 11--Equation Concepts--Equations in One Variable Video Definition 11--Equation Concepts--Equations in One Variable Video Definition 11--Equation Concepts--Equations in One Variable

Topic

Equations

Description

An Equation in One Variable has an unknown represented by a single variable. Examples include 2 + 3x = 5 and (x + 2)^2 = 25. This term focuses on single-variable equations, forming a basis for solving and understanding algebraic structures.

Applications of Equations and Inequalities
Video Definition 12--Equation Concepts--Equations in Two Variables Video Definition 12--Equation Concepts--Equations in Two Variables Video Definition 12--Equation Concepts--Equations in Two Variables

Topic

Equations

Description

Equations in Two Variables. A two-variable equation shows a relationship between two variables. Examples include y = 3x + 5, x2 + y2 = 25, and xy = 5, highlighting equations that can be graphed in a coordinate system. This builds on the idea of variables in equations and introduces the concept of relationships between variables, applicable in graphing and real-world modeling.

Applications of Equations and Inequalities