Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 8 Unit 3

Linear Relationships

Lesson 12: Solutions to Linear Equations

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Topic
Closed Captioned Video: Anatomy of an Equation: Linear Equations in Standard Form to Slope-Intercept Form 8:-Ax - By = -C Closed Captioned Video: Anatomy of an Equation: Linear Equations in Standard Form to Slope-Intercept Form 8:-Ax - By = -C Closed Captioned Video: Anatomy of an Equation: Linear Equations in Standard Form to Slope-Intercept Form 8:-Ax - By = -C

In this video tutorial, analyze the steps in converting a linear equation in Standard Form to a linear function in Slope-Intercept Form. In this video we work with this version of the Standard Form: -AX - By = -C. . .

Standard Form
Closed Captioned Video: Anatomy of an Equation: One-Step Addition Equations Closed Captioned Video: Anatomy of an Equation: One-Step Addition Equations Closed Captioned Video: Anatomy of an Equation: One-Step Addition Equations

In this video learn the mechanics of solving one-step equations involving addition. .

Solving One-Step Equations
Closed Captioned Video: Anatomy of an Equation: One-Step Addition Equations 2 Closed Captioned Video: Anatomy of an Equation: One-Step Addition Equations 2 Closed Captioned Video: Anatomy of an Equation: One-Step Addition Equations 2

In this video learn the mechanics of solving one-step equations involving addition. .

Solving One-Step Equations
Closed Captioned Video: Anatomy of an Equation: One-Step Division Equations Closed Captioned Video: Anatomy of an Equation: One-Step Division Equations Closed Captioned Video: Anatomy of an Equation: One-Step Division Equations

In this video learn the mechanics of solving one-step equations involving division. .

Solving One-Step Equations
Closed Captioned Video: Anatomy of an Equation: One-Step Multiplication Equations Closed Captioned Video: Anatomy of an Equation: One-Step Multiplication Equations Closed Captioned Video: Anatomy of an Equation: One-Step Multiplication Equations

In this video learn the mechanics of solving one-step equations involving multiplication. .

Solving One-Step Equations
Closed Captioned Video: Anatomy of an Equation: One-Step Subtraction Equations Closed Captioned Video: Anatomy of an Equation: One-Step Subtraction Equations Closed Captioned Video: Anatomy of an Equation: One-Step Subtraction Equations

In this video learn the mechanics of solving one-step equations involving subtraction. .

Solving One-Step Equations
Closed Captioned Video: Anatomy of an Equation: One-Step Subtraction Equations 2 Closed Captioned Video: Anatomy of an Equation: One-Step Subtraction Equations 2 Closed Captioned Video: Anatomy of an Equation: One-Step Subtraction Equations 2

In this video learn the mechanics of solving one-step equations involving subtraction. .

Solving One-Step Equations
Closed Captioned Video: Anatomy of an Equation: Quadratic Equations 1 Closed Captioned Video: Anatomy of an Equation: Quadratic Equations 1 Closed Captioned Video: Anatomy of an Equation: Quadratic Equations 1

In this video, analyze the steps in solving a quadratic equation with two roots. In this video we work with this version of the quadratic equation: ax^2 + bx + c = 0. . .

Quadratic Equations and Functions
Closed Captioned Video: Anatomy of an Equation: Quadratic Equations 2 Closed Captioned Video: Anatomy of an Equation: Quadratic Equations 2 Closed Captioned Video: Anatomy of an Equation: Quadratic Equations 2

In this video, analyze the steps in solving a quadratic equation with two roots. In this video we work with this version of the quadratic equation: ax^2 + bx - c = 0. . .

Quadratic Equations and Functions
Closed Captioned Video: Anatomy of an Equation: Quadratic Equations 3 Closed Captioned Video: Anatomy of an Equation: Quadratic Equations 3 Closed Captioned Video: Anatomy of an Equation: Quadratic Equations 3

In this video, analyze the steps in solving a quadratic equation with two roots. In this video we work with this version of the quadratic equation: ax^2 - bx + c = 0. . .

Quadratic Equations and Functions
Closed Captioned Video: Anatomy of an Equation: Quadratic Equations 4 Closed Captioned Video: Anatomy of an Equation: Quadratic Equations 4 Closed Captioned Video: Anatomy of an Equation: Quadratic Equations 4

In this video, analyze the steps in solving a quadratic equation with two roots. In this video we work with this version of the quadratic equation: -ax^2 + bx + c = 0. . .

Quadratic Equations and Functions
Closed Captioned Video: Anatomy of an Equation: Quadratic Equations 5 Closed Captioned Video: Anatomy of an Equation: Quadratic Equations 5 Closed Captioned Video: Anatomy of an Equation: Quadratic Equations 5

In this video, analyze the steps in solving a quadratic equation with two roots. In this video we work with this version of the quadratic equation: ax^2 - bx - c = 0. . .

Quadratic Equations and Functions
Closed Captioned Video: Anatomy of an Equation: Quadratic Equations 6 Closed Captioned Video: Anatomy of an Equation: Quadratic Equations 6 Closed Captioned Video: Anatomy of an Equation: Quadratic Equations 6

In this video, analyze the steps in solving a quadratic equation with two roots. In this video we work with this version of the quadratic equation: -ax^2 + bx - c = 0. . .

Quadratic Equations and Functions
Closed Captioned Video: Anatomy of an Equation: Quadratic Equations 7 Closed Captioned Video: Anatomy of an Equation: Quadratic Equations 7 Closed Captioned Video: Anatomy of an Equation: Quadratic Equations 7

In this video, analyze the steps in solving a quadratic equation with two roots. In this video we work with this version of the quadratic equation: -ax^2 - bx + c = 0. . .

Quadratic Equations and Functions
Closed Captioned Video: Anatomy of an Equation: Quadratic Equations 8 Closed Captioned Video: Anatomy of an Equation: Quadratic Equations 8 Closed Captioned Video: Anatomy of an Equation: Quadratic Equations 8

In this video, analyze the steps in solving a quadratic equation with two roots. In this video we work with this version of the quadratic equation: -ax^2 - bx - c = 0. . .

Quadratic Equations and Functions
Closed Captioned Video: Anatomy of an Equation: Two-Step Equations 1 Closed Captioned Video: Anatomy of an Equation: Two-Step Equations 1 Closed Captioned Video: Anatomy of an Equation: Two-Step Equations 1

In this video learn the mechanics of solving a two-step equation involving addition and multiplication. .

Solving Two-Step Equations
Closed Captioned Video: Anatomy of an Equation: Two-Step Equations 10 Closed Captioned Video: Anatomy of an Equation: Two-Step Equations 10 Closed Captioned Video: Anatomy of an Equation: Two-Step Equations 10

In this video learn the mechanics of solving a two-step equation involving addition and division. In this variation, the x-term has a negative coefficient. .

Solving Two-Step Equations
Closed Captioned Video: Anatomy of an Equation: Two-Step Equations 11 Closed Captioned Video: Anatomy of an Equation: Two-Step Equations 11 Closed Captioned Video: Anatomy of an Equation: Two-Step Equations 11

In this video learn the mechanics of solving a two-step equation involving addition and division. In this variation, the x-term has a negative coefficient. In this variation, the term on the other side of the equals sign is negative. .

Solving Two-Step Equations
Closed Captioned Video: Anatomy of an Equation: Two-Step Equations 12 Closed Captioned Video: Anatomy of an Equation: Two-Step Equations 12 Closed Captioned Video: Anatomy of an Equation: Two-Step Equations 12

In this video learn the mechanics of solving a two-step equation involving subtraction and division. .

Solving Two-Step Equations
Closed Captioned Video: Anatomy of an Equation: Two-Step Equations 13 Closed Captioned Video: Anatomy of an Equation: Two-Step Equations 13 Closed Captioned Video: Anatomy of an Equation: Two-Step Equations 13

In this video learn the mechanics of solving a two-step equation involving subtraction and division. In this variation, the x-term has a negative coefficient. In this variation, the term on the other side of the equals sign is negative. .

Solving Two-Step Equations
Closed Captioned Video: Anatomy of an Equation: Two-Step Equations 2 Closed Captioned Video: Anatomy of an Equation: Two-Step Equations 2 Closed Captioned Video: Anatomy of an Equation: Two-Step Equations 2

In this video learn the mechanics of solving a two-step equation involving addition and multiplication. In this variation, the term on the other side of the equals sign is negative. .

Solving Two-Step Equations
Closed Captioned Video: Anatomy of an Equation: Two-Step Equations 3 Closed Captioned Video: Anatomy of an Equation: Two-Step Equations 3 Closed Captioned Video: Anatomy of an Equation: Two-Step Equations 3

In this video learn the mechanics of solving a two-step equation involving subtraction and multiplication. .

Solving Two-Step Equations
Closed Captioned Video: Anatomy of an Equation: Two-Step Equations 4 Closed Captioned Video: Anatomy of an Equation: Two-Step Equations 4 Closed Captioned Video: Anatomy of an Equation: Two-Step Equations 4

In this video learn the mechanics of solving a two-step equation involving subtraction and multiplication. In this variation, the number on the other side of the equals sign is negative. .

Solving Two-Step Equations
Closed Captioned Video: Anatomy of an Equation: Two-Step Equations 5 Closed Captioned Video: Anatomy of an Equation: Two-Step Equations 5 Closed Captioned Video: Anatomy of an Equation: Two-Step Equations 5

In this video learn the mechanics of solving a two-step equation involving addition and multiplication. In this variation, the x-term has a negative coefficient. .

Solving Two-Step Equations
Closed Captioned Video: Anatomy of an Equation: Two-Step Equations 6 Closed Captioned Video: Anatomy of an Equation: Two-Step Equations 6 Closed Captioned Video: Anatomy of an Equation: Two-Step Equations 6

In this video learn the mechanics of solving a two-step equation involving addition and multiplication. In this variation, the x-term has a negative coefficient and the term on the other side of the equals sign is negative. .

Solving Two-Step Equations
Closed Captioned Video: Anatomy of an Equation: Two-Step Equations 7 Closed Captioned Video: Anatomy of an Equation: Two-Step Equations 7 Closed Captioned Video: Anatomy of an Equation: Two-Step Equations 7

In this video learn the mechanics of solving a two-step equation involving subtraction and multiplication. In this variation, the x-term has a negative coefficient. .

Solving Two-Step Equations
Closed Captioned Video: Anatomy of an Equation: Two-Step Equations 8 Closed Captioned Video: Anatomy of an Equation: Two-Step Equations 8 Closed Captioned Video: Anatomy of an Equation: Two-Step Equations 8

In this video learn the mechanics of solving a two-step equation involving subtraction and multiplication. In this variation, the x-term has a negative coefficient and the term on the other side of the equals sign is negative. .

Solving Two-Step Equations
Closed Captioned Video: Anatomy of an Equation: Two-Step Equations 9 Closed Captioned Video: Anatomy of an Equation: Two-Step Equations 9 Closed Captioned Video: Anatomy of an Equation: Two-Step Equations 9

In this video learn the mechanics of solving a two-step equation involving addition and division. .

Solving Two-Step Equations
Closed Captioned Video: Linear Functions: Negative Slope, Negative y-Intercept Closed Captioned Video: Linear Functions: Negative Slope, Negative y-Intercept Closed Captioned Video: Linear Functions: Negative Slope, Negative y-Intercept

Video Tutorial: Linear Functions: Negative Slope, Negative y-Intercept. In this video tutorial, students learn the basics of linear functions in slope-intercept form. In particular, look at the case of a linear function with a negative slope and a negative y-intercept.

Graphs of Linear Functions
Closed Captioned Video: Linear Functions: Negative Slope, Positive y-Intercept Closed Captioned Video: Linear Functions: Negative Slope, Positive y-Intercept Closed Captioned Video: Linear Functions: Negative Slope, Positive y-Intercept

Video Tutorial: Linear Functions: Negative Slope, Positive y-Intercept. In this video tutorial, students learn the basics of linear functions in slope-intercept form. In particular, look at the case of a linear function with a negative slope and a positive y-intercept.

Graphs of Linear Functions
Closed Captioned Video: Linear Functions: Negative Slope, Zero y-Intercept Closed Captioned Video: Linear Functions: Negative Slope, Zero y-Intercept Closed Captioned Video: Linear Functions: Negative Slope, Zero y-Intercept

Video Tutorial: Linear Functions: Negative Slope, Zero y-Intercept. In this video tutorial, students learn the basics of linear functions in slope-intercept form. In particular, look at the case of a linear function with a negative slope and a zero y-intercept.

Graphs of Linear Functions
Closed Captioned Video: Linear Functions: Positive Slope, Negative y-Intercept Closed Captioned Video: Linear Functions: Positive Slope, Negative y-Intercept Closed Captioned Video: Linear Functions: Positive Slope, Negative y-Intercept

Video Tutorial: Linear Functions: Positive Slope, Negative y-Intercept. In this video tutorial, students learn the basics of linear functions in slope-intercept form. In particular, look at the case of a linear function with a positive slope and a negative y-intercept.

Graphs of Linear Functions
Closed Captioned Video: Linear Functions: Positive Slope, Positive y-Intercept Closed Captioned Video: Linear Functions: Positive Slope, Positive y-Intercept Closed Captioned Video: Linear Functions: Positive Slope, Positive y-Intercept

Video Tutorial: Linear Functions: Positive Slope, Positive y-Intercept. In this video tutorial, students learn the basics of linear functions in slope-intercept form. In particular, look at the case of a linear function with a positive slope and a positive y-intercept.

Graphs of Linear Functions
Closed Captioned Video: Linear Functions: Positive Slope, Zero y-Intercept Closed Captioned Video: Linear Functions: Positive Slope, Zero y-Intercept Closed Captioned Video: Linear Functions: Positive Slope, Zero y-Intercept

Video Tutorial: Linear Functions: Positive Slope, Zero y-Intercept. In this video tutorial, students learn the basics of linear functions in slope-intercept form. In particular, look at the case of a linear function with a positive slope and a zero y-intercept.

Graphs of Linear Functions
Closed Captioned Video: One-Step Equations: Addition Closed Captioned Video: One-Step Equations: Addition Closed Captioned Video: One-Step Equations: Addition

Video Tutorial: One-Step Equations: Addition. In this video, get an overview of one-step equations and how to solve them. In particular, look at one-step addition equations.

Solving One-Step Equations
Closed Captioned Video: One-Step Equations: Division Closed Captioned Video: One-Step Equations: Division Closed Captioned Video: One-Step Equations: Division

Video Tutorial: One-Step Equations: Division. In this video, students get an overview of one-step equations and how to solve them. In particular, look at one-step division equations.

Solving One-Step Equations
Closed Captioned Video: One-Step Equations: Multiplication Closed Captioned Video: One-Step Equations: Multiplication Closed Captioned Video: One-Step Equations: Multiplication

Video Tutorial: One-Step Equations: Multiplication. In this video, students get an overview of one-step equations and how to solve them. In particular, look at one-step multiplication equations.

Solving One-Step Equations
Closed Captioned Video: One-Step Equations: Subtraction Closed Captioned Video: One-Step Equations: Subtraction Closed Captioned Video: One-Step Equations: Subtraction

Video Tutorial: One-Step Equations: Subtraction. In this video, students get an overview of one-step equations and how to solve them. In particular, look at one-step subtraction equations.

Solving One-Step Equations
Closed Captioned Video: Slope Formula: Negative Slope, Coordinates in Quadrant I Closed Captioned Video: Slope Formula: Negative Slope, Coordinates in Quadrant I Closed Captioned Video: Slope Formula: Negative Slope, Coordinates in Quadrant I

Topic

Slope

Description

The video covers finding a negative slope in Quadrant I using the slope formula. It defines rise over run and demonstrates calculations using points (7, 3) and (5, 7), resulting in a slope of -2. Important terms include numerator, denominator, and coordinates.

Slope
Closed Captioned Video: Slope Formula: Negative Slope, Coordinates in Quadrant II Closed Captioned Video: Slope Formula: Negative Slope, Coordinates in Quadrant II Closed Captioned Video: Slope Formula: Negative Slope, Coordinates in Quadrant II

Topic

Slope

Description

Explains finding a negative slope in Quadrant II using the slope formula. Demonstrates with points (-1, 4) and (-7, 6), resulting in a slope of -1/3. Covers key concepts like rise over run and coordinate differences.

Slope
Closed Captioned Video: Slope Formula: Negative Slope, Coordinates in Quadrant III Closed Captioned Video: Slope Formula: Negative Slope, Coordinates in Quadrant III Closed Captioned Video: Slope Formula: Negative Slope, Coordinates in Quadrant III

Topic

Slope

Description

The video discusses finding a negative slope in Quadrant III using the slope formula. Points (-2, -7) and (-6, -5) result in a slope of -1/2. Highlights include simplifying coordinate differences and using the formula.

Slope
Closed Captioned Video: Slope Formula: Negative Slope, Coordinates in Quadrant IV Closed Captioned Video: Slope Formula: Negative Slope, Coordinates in Quadrant IV Closed Captioned Video: Slope Formula: Negative Slope, Coordinates in Quadrant IV

Topic

Slope

Description

Demonstrates calculating a negative slope in Quadrant IV. Example points are (9, -3) and (3, -1), with a slope of -1/3. Discusses coordinate differences and formula application.

Slope
Closed Captioned Video: Slope Formula: Negative Slope, Coordinates in Quadrants I and II Closed Captioned Video: Slope Formula: Negative Slope, Coordinates in Quadrants I and II Closed Captioned Video: Slope Formula: Negative Slope, Coordinates in Quadrants I and II

Topic

Slope

Description

The video discusses a negative slope with points in Quadrants I and II. Using (4, 2) and (-2, 8), it calculates a slope of -1. Highlights include rise over run and coordinate simplifications.

Slope
Closed Captioned Video: Slope Formula: Negative Slope, Coordinates in Quadrants III and IV Closed Captioned Video: Slope Formula: Negative Slope, Coordinates in Quadrants III and IV Closed Captioned Video: Slope Formula: Negative Slope, Coordinates in Quadrants III and IV

Topic

Slope

Description

Explains calculating a negative slope for points in Quadrants III and IV. Example points (7, -5) and (-5, -1) yield a slope of -1/3. Key topics include applying the slope formula and simplifying results.

Slope
Closed Captioned Video: Slope Formula: Positive Slope, Coordinates in Quadrant I Closed Captioned Video: Slope Formula: Positive Slope, Coordinates in Quadrant I Closed Captioned Video: Slope Formula: Positive Slope, Coordinates in Quadrant I

Topic

Slope

Description

This video explains the slope formula and applies it to find the positive slope of a line in Quadrant I. Key concepts include rise over run and calculating differences in coordinates. The example uses points (2, 3) and (6, 7) with the slope calculated as 1. Vocabulary includes rise, run, numerator, and denominator.

Slope
Closed Captioned Video: Slope Formula: Positive Slope, Coordinates in Quadrant II Closed Captioned Video: Slope Formula: Positive Slope, Coordinates in Quadrant II Closed Captioned Video: Slope Formula: Positive Slope, Coordinates in Quadrant II

Topic

Slope

Description

This tutorial focuses on a positive slope in Quadrant II. Key topics include calculating slope as rise over run and using coordinate differences. It provides an example with points (-5, 4) and (-3, 8) resulting in a slope of 2. Vocabulary includes numerator, denominator, and difference.

Slope
Closed Captioned Video: Slope Formula: Positive Slope, Coordinates in Quadrant III Closed Captioned Video: Slope Formula: Positive Slope, Coordinates in Quadrant III Closed Captioned Video: Slope Formula: Positive Slope, Coordinates in Quadrant III

Topic

Slope

Description

Shows how to calculate a positive slope in Quadrant III using the slope formula. Example uses points (-3, -8) and (-2, -2), with a slope of 6. Concepts include rise over run and simplifying fractions.

Slope
Closed Captioned Video: Slope Formula: Positive Slope, Coordinates in Quadrant IV Closed Captioned Video: Slope Formula: Positive Slope, Coordinates in Quadrant IV Closed Captioned Video: Slope Formula: Positive Slope, Coordinates in Quadrant IV

Topic

Slope

Description

Explains finding a positive slope in Quadrant IV. Demonstrates using points (2, -5) and (4, -1) to calculate a slope of 2. Vocabulary includes rise over run, numerator, and denominator.

Slope
Closed Captioned Video: Slope Formula: Positive Slope, Coordinates in Quadrants I and II Closed Captioned Video: Slope Formula: Positive Slope, Coordinates in Quadrants I and II Closed Captioned Video: Slope Formula: Positive Slope, Coordinates in Quadrants I and II

Topic

Slope

Description

Covers a positive slope with points spanning Quadrants I and II. Example uses (-3, 3) and (3, 6), yielding a slope of 1/2. Discusses rise over run, numerator, and denominator.

Slope
Closed Captioned Video: Slope Formula: Positive Slope, Coordinates in Quadrants III and IV Closed Captioned Video: Slope Formula: Positive Slope, Coordinates in Quadrants III and IV Closed Captioned Video: Slope Formula: Positive Slope, Coordinates in Quadrants III and IV

Topic

Slope

Description

This video demonstrates finding a positive slope with points in Quadrants III and IV. Using points (-5, -9) and (3, -5), it calculates a slope of 1/2. Concepts covered include rise over run and simplifying coordinate differences.

Slope