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Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 7 Unit 7

Expressions, Equations, and Inequalities

Lesson 5: Reasoning about Equations and Tape Diagrams (Part 2)

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Topic
Math Example: Solving Two-Step Equations: Example 31 Math Example: Solving Two-Step Equations: Example 31 Math Example: Solving Two-Step Equations: Example 31

Topic

Solving Equations

Description

This math example demonstrates solving the equation (2/3)x = -50. The solution involves first multiplying both sides by 3 to eliminate the fraction, then dividing by 2 to isolate x. The final result is x = -75. This example showcases how to handle fractions and negative numbers in two-step equations.

Solving Two-Step Equations
Math Example: Solving Two-Step Equations: Example 32 Math Example: Solving Two-Step Equations: Example 32 Math Example: Solving Two-Step Equations: Example 32

Topic

Solving Equations

Description

This math example illustrates the process of solving the equation x / (4/5) = -30. The solution involves first multiplying both sides by 5 to eliminate the fraction in the denominator, then dividing by 4 to isolate x. The final result is x = -600. This example demonstrates how to handle complex fractions and negative numbers in two-step equations.

Solving Two-Step Equations
Math Example: Solving Two-Step Equations: Example 4 Math Example: Solving Two-Step Equations: Example 4 Math Example: Solving Two-Step Equations: Example 4

Topic

Solving Equations

Description

This example demonstrates solving the equation x/2 + 4 = 8. The solution process involves subtracting 4 from both sides of the equation, then multiplying both sides by 2. Through these steps, we find that x = 8.

Solving Two-Step Equations
Math Example: Solving Two-Step Equations: Example 5 Math Example: Solving Two-Step Equations: Example 5 Math Example: Solving Two-Step Equations: Example 5

Topic

Solving Equations

Description

This example demonstrates solving the equation 2x - 3 = x + 4. The solution process involves adding 3 to both sides of the equation, then subtracting x from both sides to isolate the variable. Through these steps, we find that x = 7.

Solving Two-Step Equations
Math Example: Solving Two-Step Equations: Example 6 Math Example: Solving Two-Step Equations: Example 6 Math Example: Solving Two-Step Equations: Example 6

Topic

Solving Equations

Description

This example demonstrates solving the equation 2x - 3 = x - 4. The solution process involves adding 3 to both sides of the equation, then subtracting x from both sides to isolate the variable. Through these steps, we find that x = -1.

Solving Two-Step Equations
Math Example: Solving Two-Step Equations: Example 7 Math Example: Solving Two-Step Equations: Example 7 Math Example: Solving Two-Step Equations: Example 7

Topic

Solving Equations

Description

This example demonstrates solving the equation 5x - 7 = 18. The solution process involves adding 7 to both sides of the equation, then dividing both sides by 5 to isolate the variable. Through these steps, we find that x = 5.

Solving Two-Step Equations
Math Example: Solving Two-Step Equations: Example 8 Math Example: Solving Two-Step Equations: Example 8 Math Example: Solving Two-Step Equations: Example 8

Topic

Solving Equations

Description

This example demonstrates solving the equation (x/2) - 4 = 8. The solution process involves adding 4 to both sides of the equation, then multiplying both sides by 2 to isolate the variable. Through these steps, we find that x = 24.

Solving Two-Step Equations
Math Example: Solving Two-Step Equations: Example 9 Math Example: Solving Two-Step Equations: Example 9 Math Example: Solving Two-Step Equations: Example 9

Topic

Solving Equations

Description

This example demonstrates solving the equation 3(x + 2) = 12. The solution process involves first dividing both sides of the equation by 3, then subtracting 2 from both sides to isolate the variable. Through these steps, we find that x = 2.

Solving Two-Step Equations
Math Example: Testing Solutions to One-Step Equations--Example 1 Math Example: Testing Solutions to One-Step Equations--Example 1 Math Example: Testing Solutions to One-Step Equations--Example 1

This is part of a collection of math examples that show how to solve one-step equations that include addition, subtraction, multiplication, or division.

Solving One-Step Equations
Math Example: Testing Solutions to One-Step Equations--Example 10 Math Example: Testing Solutions to One-Step Equations--Example 10 Math Example: Testing Solutions to One-Step Equations--Example 10

This is part of a collection of math examples that show how to solve one-step equations that include addition, subtraction, multiplication, or division.

Solving One-Step Equations
Math Example: Testing Solutions to One-Step Equations--Example 11 Math Example: Testing Solutions to One-Step Equations--Example 11 Math Example: Testing Solutions to One-Step Equations--Example 11

This is part of a collection of math examples that show how to solve one-step equations that include addition, subtraction, multiplication, or division.

Solving One-Step Equations
Math Example: Testing Solutions to One-Step Equations--Example 12 Math Example: Testing Solutions to One-Step Equations--Example 12 Math Example: Testing Solutions to One-Step Equations--Example 12

This is part of a collection of math examples that show how to solve one-step equations that include addition, subtraction, multiplication, or division.

Solving One-Step Equations
Math Example: Testing Solutions to One-Step Equations--Example 2 Math Example: Testing Solutions to One-Step Equations--Example 2 Math Example: Testing Solutions to One-Step Equations--Example 2

This is part of a collection of math examples that show how to solve one-step equations that include addition, subtraction, multiplication, or division.

Solving One-Step Equations
Math Example: Testing Solutions to One-Step Equations--Example 3 Math Example: Testing Solutions to One-Step Equations--Example 3 Math Example: Testing Solutions to One-Step Equations--Example 3

This is part of a collection of math examples that show how to solve one-step equations that include addition, subtraction, multiplication, or division.

Solving One-Step Equations
Math Example: Testing Solutions to One-Step Equations--Example 4 Math Example: Testing Solutions to One-Step Equations--Example 4 Math Example: Testing Solutions to One-Step Equations--Example 4

This is part of a collection of math examples that show how to solve one-step equations that include addition, subtraction, multiplication, or division.

Solving One-Step Equations
Math Example: Testing Solutions to One-Step Equations--Example 5 Math Example: Testing Solutions to One-Step Equations--Example 5 Math Example: Testing Solutions to One-Step Equations--Example 5

This is part of a collection of math examples that show how to solve one-step equations that include addition, subtraction, multiplication, or division.

Solving One-Step Equations
Math Example: Testing Solutions to One-Step Equations--Example 6 Math Example: Testing Solutions to One-Step Equations--Example 6 Math Example: Testing Solutions to One-Step Equations--Example 6

This is part of a collection of math examples that show how to solve one-step equations that include addition, subtraction, multiplication, or division.

Solving One-Step Equations
Math Example: Testing Solutions to One-Step Equations--Example 7 Math Example: Testing Solutions to One-Step Equations--Example 7 Math Example: Testing Solutions to One-Step Equations--Example 7

This is part of a collection of math examples that show how to solve one-step equations that include addition, subtraction, multiplication, or division.

Solving One-Step Equations
Math Example: Testing Solutions to One-Step Equations--Example 8 Math Example: Testing Solutions to One-Step Equations--Example 8 Math Example: Testing Solutions to One-Step Equations--Example 8

This is part of a collection of math examples that show how to solve one-step equations that include addition, subtraction, multiplication, or division.

Solving One-Step Equations
Math Example: Testing Solutions to One-Step Equations--Example 9 Math Example: Testing Solutions to One-Step Equations--Example 9 Math Example: Testing Solutions to One-Step Equations--Example 9

This is part of a collection of math examples that show how to solve one-step equations that include addition, subtraction, multiplication, or division.

Solving One-Step Equations
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

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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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
Video Definition 30--Equation Concepts--Roots of an Equation Video Definition 30--Equation Concepts--Roots of an Equation Video Definition 30--Equation Concepts--Roots of an 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 31--Equation Concepts--Solution Video Definition 31--Equation Concepts--Solution Video Definition 31--Equation Concepts--Solution

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 32--Equation Concepts--Solving an Equation Video Definition 32--Equation Concepts--Solving an Equation Video Definition 32--Equation Concepts--Solving an 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 33--Equation Concepts--Subtraction Property of Equality Video Definition 33--Equation Concepts--Subtraction Property of Equality Video Definition 33--Equation Concepts--Subtraction 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 34--Equation Concepts--Symmetric Property of Equality Video Definition 34--Equation Concepts--Symmetric Property of Equality Video Definition 34--Equation Concepts--Symmetric 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 35--Equation Concepts--The Unknown Video Definition 35--Equation Concepts--The Unknown Video Definition 35--Equation Concepts--The Unknown

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 36--Equation Concepts--Transitive Property of Equality Video Definition 36--Equation Concepts--Transitive Property of Equality Video Definition 36--Equation Concepts--Transitive 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