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Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 8 Unit 3

Linear Relationships

Lesson 14: Using Linear Relations to Solve Problems

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Topic
Math Example--Linear Function Concepts--Linear Function Machines--Example 15 Math Example--Linear Function Concepts--Linear Function Machines--Example 15 Math Example--Linear Function Concepts--Linear Function Machines--Example 15

This is part of a collection of math examples that focus on linear function concepts.

Graphs of Linear Functions and Slope-Intercept Form
Math Example--Linear Function Concepts--Linear Function Machines--Example 16 Math Example--Linear Function Concepts--Linear Function Machines--Example 16 Math Example--Linear Function Concepts--Linear Function Machines--Example 16

This is part of a collection of math examples that focus on linear function concepts.

Graphs of Linear Functions and Slope-Intercept Form
Math Example--Linear Function Concepts--Linear Function Machines--Example 17 Math Example--Linear Function Concepts--Linear Function Machines--Example 17 Math Example--Linear Function Concepts--Linear Function Machines--Example 17

This is part of a collection of math examples that focus on linear function concepts.

Graphs of Linear Functions and Slope-Intercept Form
Math Example--Linear Function Concepts--Linear Function Machines--Example 18 Math Example--Linear Function Concepts--Linear Function Machines--Example 18 Math Example--Linear Function Concepts--Linear Function Machines--Example 18

This is part of a collection of math examples that focus on linear function concepts.

Graphs of Linear Functions and Slope-Intercept Form
Math Example--Linear Function Concepts--Linear Function Machines--Example 19 Math Example--Linear Function Concepts--Linear Function Machines--Example 19 Math Example--Linear Function Concepts--Linear Function Machines--Example 19

This is part of a collection of math examples that focus on linear function concepts.

Graphs of Linear Functions and Slope-Intercept Form
Math Example--Linear Function Concepts--Linear Function Machines--Example 2 Math Example--Linear Function Concepts--Linear Function Machines--Example 2 Math Example--Linear Function Concepts--Linear Function Machines--Example 2

This is part of a collection of math examples that focus on linear function concepts.

Graphs of Linear Functions and Slope-Intercept Form
Math Example--Linear Function Concepts--Linear Function Machines--Example 3 Math Example--Linear Function Concepts--Linear Function Machines--Example 3 Math Example--Linear Function Concepts--Linear Function Machines--Example 3

This is part of a collection of math examples that focus on linear function concepts.

Graphs of Linear Functions and Slope-Intercept Form
Math Example--Linear Function Concepts--Linear Function Machines--Example 4 Math Example--Linear Function Concepts--Linear Function Machines--Example 4 Math Example--Linear Function Concepts--Linear Function Machines--Example 4

This is part of a collection of math examples that focus on linear function concepts.

Graphs of Linear Functions and Slope-Intercept Form
Math Example--Linear Function Concepts--Linear Function Machines--Example 5 Math Example--Linear Function Concepts--Linear Function Machines--Example 5 Math Example--Linear Function Concepts--Linear Function Machines--Example 5

This is part of a collection of math examples that focus on linear function concepts.

Graphs of Linear Functions and Slope-Intercept Form
Math Example--Linear Function Concepts--Linear Function Machines--Example 6 Math Example--Linear Function Concepts--Linear Function Machines--Example 6 Math Example--Linear Function Concepts--Linear Function Machines--Example 6

This is part of a collection of math examples that focus on linear function concepts.

Graphs of Linear Functions and Slope-Intercept Form
Math Example--Linear Function Concepts--Linear Function Machines--Example 7 Math Example--Linear Function Concepts--Linear Function Machines--Example 7 Math Example--Linear Function Concepts--Linear Function Machines--Example 7

This is part of a collection of math examples that focus on linear function concepts.

Graphs of Linear Functions and Slope-Intercept Form
Math Example--Linear Function Concepts--Linear Function Machines--Example 8 Math Example--Linear Function Concepts--Linear Function Machines--Example 8 Math Example--Linear Function Concepts--Linear Function Machines--Example 8

This is part of a collection of math examples that focus on linear function concepts.

Graphs of Linear Functions and Slope-Intercept Form
Math Example--Linear Function Concepts--Linear Function Machines--Example 9 Math Example--Linear Function Concepts--Linear Function Machines--Example 9 Math Example--Linear Function Concepts--Linear Function Machines--Example 9

This is part of a collection of math examples that focus on linear function concepts.

Graphs of Linear Functions and Slope-Intercept Form
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 1 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 1 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 1

Topic

Linear Functions

Description

This example demonstrates how to create a table of x-y coordinates and graph the linear function y = 2x + 4. The image shows both a graph and a table representing this function. The table includes coordinate pairs (0, 4), (1, 6), (2, 8), (3, 10), and (4, 12), illustrating how the y-value increases by 2 for each unit increase in x.

Graphs of Linear Functions
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 10 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 10 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 10

Topic

Linear Functions

Description

This example demonstrates how to create a table of x-y coordinates and graph the linear function y = -x + 6. The image shows both a graph and a table representing this function. The table includes coordinate pairs (0, 6), (1, 5), (2, 4), (3, 3), and (4, 2), illustrating how the y-value decreases by 1 for each unit increase in x.

Graphs of Linear Functions
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 11 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 11 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 11

Topic

Linear Functions

Description

This example illustrates the process of creating a table of x-y coordinates and graphing the linear function y = -x - 8. The image presents both a graph and a table for this function. The table includes coordinate pairs (0, -8), (1, -9), (2, -10), (3, -11), and (4, -12), showing how the y-value decreases by 1 for each unit increase in x.

Graphs of Linear Functions
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 12 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 12 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 12

Topic

Linear Functions

Description

This example demonstrates the creation of a table of x-y coordinates and the graphing of the linear function y = -x. The image displays both a graph and a table representing this function. The table includes coordinate pairs (0, 0), (1, -1), (2, -2), (3, -3), and (4, -4), illustrating how the y-value decreases by 1 for each unit increase in x.

Graphs of Linear Functions
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 13 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 13 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 13

Topic

Linear Functions

Description

This example illustrates the process of creating a table of x-y coordinates and graphing the linear function y = 0.5x + 4. The image presents both a graph and a table for this function. The table includes coordinate pairs (0, 4), (1, 4.5), (2, 5), (3, 5.5), and (4, 6), showing how the y-value increases by 0.5 for each unit increase in x.

Graphs of Linear Functions
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 14 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 14 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 14

Topic

Linear Functions

Description

This example demonstrates how to create a table of x-y coordinates and graph the linear function y = 0.1x - 5. The image shows both a graph and a table representing this function. The table includes coordinate pairs (0, -5), (1, -4.9), (2, -4.8), (3, -4.7), and (4, -4.6), illustrating how the y-value increases by 0.1 for each unit increase in x.

Graphs of Linear Functions
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 15 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 15 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 15

Topic

Linear Functions

Description

This example illustrates the process of creating a table of x-y coordinates and graphing the linear function y = 0.2x. The image presents both a graph and a table for this function. The table includes coordinate pairs (0, 0), (1, 0.2), (2, 0.4), (3, 0.6), and (4, 0.8), showing how the y-value increases by 0.2 for each unit increase in x.

Graphs of Linear Functions
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 16 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 16 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 16

Topic

Linear Functions

Description

This example demonstrates how to create a table of x-y coordinates and graph the linear function y = -0.5x + 7. The image shows both a graph and a table representing this function. The table includes coordinate pairs (0, 7), (1, 6.5), (2, 6), (3, 5.5), and (4, 5), illustrating how the y-value decreases by 0.5 for each unit increase in x.

Graphs of Linear Functions
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 17 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 17 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 17

Topic

Linear Functions

Description

This example illustrates the process of creating a table of x-y coordinates and graphing the linear function y = -0.1x - 4. The image presents both a graph and a table for this function. The table includes coordinate pairs (0, -4), (1, -4.1), (2, -4.2), (3, -4.3), and (4, -4.4), showing how the y-value decreases by 0.1 for each unit increase in x.

Graphs of Linear Functions
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 18 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 18 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 18

Topic

Linear Functions

Description

This example demonstrates how to create a table of x-y coordinates and graph the linear function y = -0.6x. The image shows both a graph and a table representing this function. The table includes coordinate pairs (0, 0), (1, -0.6), (2, -1.2), (3, -1.8), and (4, -2.4), illustrating how the y-value decreases by 0.6 for each unit increase in x.

Graphs of Linear Functions
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 19 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 19 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 19

Topic

Linear Functions

Description

This example illustrates the process of creating a table of x-y coordinates and graphing the linear function y = 0x. The image presents both a graph and a table for this function. The table includes coordinate pairs (0, 0), (1, 0), (2, 0), (3, 0), and (4, 0), showing how the y-value remains constant at 0 for all values of x.

Graphs of Linear Functions
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 2 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 2 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 2

Topic

Linear Functions

Description

This example illustrates the process of creating a table of x-y coordinates and graphing the linear function y = 3x - 2. The image presents both a graph and a table for this function. The table includes coordinate pairs (0, -2), (1, 1), (2, 4), (3, 7), and (4, 10), showing how the y-value increases by 3 for each unit increase in x.

Graphs of Linear Functions
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 20 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 20 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 20

Topic

Linear Functions

Description

This example demonstrates how to create a table of x-y coordinates and graph the linear function y = 0x - 6. The image shows both a graph and a table representing this function. The table includes coordinate pairs (0, -6), (1, -6), (2, -6), (3, -6), and (4, -6), illustrating how the y-value remains constant at -6 for all values of x.

Graphs of Linear Functions
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 21 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 21 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 21

Topic

Linear Functions

Description

This example illustrates the process of creating a table of x-y coordinates and graphing the linear function y = 0 * x + 4. The image presents both a graph and a table for this function. The table includes coordinate pairs (0, 4), (1, 4), (2, 4), (3, 4), and (4, 4), showing how the y-value remains constant at 4 for all values of x.

Graphs of Linear Functions
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 3 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 3 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 3

Topic

Linear Functions

Description

This example demonstrates the creation of a table of x-y coordinates and the graphing of the linear function y = 5x. The image displays both a graph and a table representing this function. The table includes coordinate pairs (0, 0), (1, 5), (2, 10), (3, 15), and (4, 20), illustrating how the y-value increases by 5 for each unit increase in x.

Graphs of Linear Functions
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 4 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 4 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 4

Topic

Linear Functions

Description

This example showcases the process of creating a table of x-y coordinates and graphing the linear function y = -2x + 5. The image presents both a graph and a table for this function. The table includes coordinate pairs (0, 5), (1, 3), (2, 1), (3, -1), and (4, -3), demonstrating how the y-value decreases by 2 for each unit increase in x.

Graphs of Linear Functions
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 5 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 5 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 5

Topic

Linear Functions

Description

This example illustrates the creation of a table of x-y coordinates and the graphing of the linear function y = -3x - 4. The image displays both a graph and a table representing this function. The table includes coordinate pairs (0, -4), (1, -7), (2, -10), (3, -13), and (4, -16), showing how the y-value decreases by 3 for each unit increase in x.

Graphs of Linear Functions
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 6 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 6 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 6

Topic

Linear Functions

Description

This example demonstrates how to create a table of x-y coordinates and graph the linear function y = -6x. The image shows both a graph and a table representing this function. The table includes coordinate pairs (0, 0), (1, -6), (2, -12), (3, -18), and (4, -24), illustrating how the y-value decreases by 6 for each unit increase in x.

Graphs of Linear Functions
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 7 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 7 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 7

Topic

Linear Functions

Description

This example illustrates the process of creating a table of x-y coordinates and graphing the linear function y = x + 7. The image presents both a graph and a table for this function. The table includes coordinate pairs (0, 7), (1, 8), (2, 9), (3, 10), and (4, 11), showing how the y-value increases by 1 for each unit increase in x.

Graphs of Linear Functions
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 8 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 8 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 8

Topic

Linear Functions

Description

This example demonstrates the creation of a table of x-y coordinates and the graphing of the linear function y = x - 8. The image displays both a graph and a table representing this function. The table includes coordinate pairs (0, -8), (1, -7), (2, -6), (3, -5), and (4, -4), illustrating how the y-value increases by 1 for each unit increase in x.

Graphs of Linear Functions
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 9 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 9 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 9

Topic

Linear Functions

Description

This example illustrates the process of creating a table of x-y coordinates and graphing the linear function y = x. The image presents both a graph and a table for this function. The table includes coordinate pairs (0, 0), (1, 1), (2, 2), (3, 3), and (4, 4), showing how the y-value increases by 1 for each unit increase in x.

Graphs of Linear Functions
Math Example--Linear Function Concepts--Linear Intercepts: Example 1 Math Example--Linear Function Concepts--Linear Intercepts: Example 1 Math Example--Linear Function Concepts--Linear Intercepts: Example 1

This is part of a collection of math examples that focus on linear function concepts.

Slope-Intercept Form and Standard Form
Math Example--Linear Function Concepts--Linear Intercepts: Example 10 Math Example--Linear Function Concepts--Linear Intercepts: Example 10 Math Example--Linear Function Concepts--Linear Intercepts: Example 10

This is part of a collection of math examples that focus on linear function concepts.

Slope-Intercept Form and Standard Form
Math Example--Linear Function Concepts--Linear Intercepts: Example 2 Math Example--Linear Function Concepts--Linear Intercepts: Example 2 Math Example--Linear Function Concepts--Linear Intercepts: Example 2

This is part of a collection of math examples that focus on linear function concepts.

Slope-Intercept Form and Standard Form
Math Example--Linear Function Concepts--Linear Intercepts: Example 3 Math Example--Linear Function Concepts--Linear Intercepts: Example 3 Math Example--Linear Function Concepts--Linear Intercepts: Example 3

This is part of a collection of math examples that focus on linear function concepts.

Slope-Intercept Form and Standard Form
Math Example--Linear Function Concepts--Linear Intercepts: Example 4 Math Example--Linear Function Concepts--Linear Intercepts: Example 4 Math Example--Linear Function Concepts--Linear Intercepts: Example 4

This is part of a collection of math examples that focus on linear function concepts.

Slope-Intercept Form and Standard Form
Math Example--Linear Function Concepts--Linear Intercepts: Example 5 Math Example--Linear Function Concepts--Linear Intercepts: Example 5 Math Example--Linear Function Concepts--Linear Intercepts: Example 5

This is part of a collection of math examples that focus on linear function concepts.

Slope-Intercept Form and Standard Form
Math Example--Linear Function Concepts--Linear Intercepts: Example 6 Math Example--Linear Function Concepts--Linear Intercepts: Example 6 Math Example--Linear Function Concepts--Linear Intercepts: Example 6

This is part of a collection of math examples that focus on linear function concepts.

Slope-Intercept Form and Standard Form
Math Example--Linear Function Concepts--Linear Intercepts: Example 7 Math Example--Linear Function Concepts--Linear Intercepts: Example 7 Math Example--Linear Function Concepts--Linear Intercepts: Example 7

This is part of a collection of math examples that focus on linear function concepts.

Slope-Intercept Form and Standard Form
Math Example--Linear Function Concepts--Linear Intercepts: Example 8 Math Example--Linear Function Concepts--Linear Intercepts: Example 8 Math Example--Linear Function Concepts--Linear Intercepts: Example 8

This is part of a collection of math examples that focus on linear function concepts.

Slope-Intercept Form and Standard Form
Math Example--Linear Function Concepts--Linear Intercepts: Example 9 Math Example--Linear Function Concepts--Linear Intercepts: Example 9 Math Example--Linear Function Concepts--Linear Intercepts: Example 9

This is part of a collection of math examples that focus on linear function concepts.

Slope-Intercept Form and Standard Form
Math Example--Linear Function Concepts--The Equation of a Line Given Two Points: Example 1 Math Example--Linear Function Concepts--The Equation of a Line Given Two Points: Example 1 Math Example--Linear Function Concepts--The Equation of a Line Given Two Points: Example 1

This is part of a collection of math examples that focus on linear function concepts.

Point-Slope Form and Slope-Intercept Form
Math Example--Linear Function Concepts--The Equation of a Line Given Two Points: Example 10 Math Example--Linear Function Concepts--The Equation of a Line Given Two Points: Example 10 Math Example--Linear Function Concepts--The Equation of a Line Given Two Points: Example 10

This is part of a collection of math examples that focus on linear function concepts.

Point-Slope Form and Slope-Intercept Form
Math Example--Linear Function Concepts--The Equation of a Line Given Two Points: Example 11 Math Example--Linear Function Concepts--The Equation of a Line Given Two Points: Example 11 Math Example--Linear Function Concepts--The Equation of a Line Given Two Points: Example 11

This is part of a collection of math examples that focus on linear function concepts.

Point-Slope Form and Slope-Intercept Form
Math Example--Linear Function Concepts--The Equation of a Line Given Two Points: Example 12 Math Example--Linear Function Concepts--The Equation of a Line Given Two Points: Example 12 Math Example--Linear Function Concepts--The Equation of a Line Given Two Points: Example 12

This is part of a collection of math examples that focus on linear function concepts.

Point-Slope Form and Slope-Intercept Form
Math Example--Linear Function Concepts--The Equation of a Line Given Two Points: Example 13 Math Example--Linear Function Concepts--The Equation of a Line Given Two Points: Example 13 Math Example--Linear Function Concepts--The Equation of a Line Given Two Points: Example 13

This is part of a collection of math examples that focus on linear function concepts.

Point-Slope Form and Slope-Intercept Form
Math Example--Linear Function Concepts--The Equation of a Line Given Two Points: Example 14 Math Example--Linear Function Concepts--The Equation of a Line Given Two Points: Example 14 Math Example--Linear Function Concepts--The Equation of a Line Given Two Points: Example 14

This is part of a collection of math examples that focus on linear function concepts.

Point-Slope Form and Slope-Intercept Form