Illustrative Math Alignment: Grade 7 Unit 7
Expressions, Equations, and Inequalities
Lesson 8: Reasoning about Solving Equations (Part 2)
Use the following Media4Math resources with this Illustrative Math lesson.
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Math Example: Solving Two-Step Equations: Example 32 | Math Example: Solving Two-Step Equations: Example 32TopicSolving Equations DescriptionThis 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 |
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Math Example: Solving Two-Step Equations: Example 4 | Math Example: Solving Two-Step Equations: Example 4TopicSolving Equations DescriptionThis 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 |
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Math Example: Solving Two-Step Equations: Example 5 | Math Example: Solving Two-Step Equations: Example 5TopicSolving Equations DescriptionThis 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 |
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Math Example: Solving Two-Step Equations: Example 6 | Math Example: Solving Two-Step Equations: Example 6TopicSolving Equations DescriptionThis 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 |
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Math Example: Solving Two-Step Equations: Example 7 | Math Example: Solving Two-Step Equations: Example 7TopicSolving Equations DescriptionThis 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 |
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Math Example: Solving Two-Step Equations: Example 8 | Math Example: Solving Two-Step Equations: Example 8TopicSolving Equations DescriptionThis 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 |
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Math Example: Solving Two-Step Equations: Example 9 | Math Example: Solving Two-Step Equations: Example 9TopicSolving Equations DescriptionThis 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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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MATH EXAMPLES--Teacher's Guide: Equations of Parallel and Perpendicular Lines | MATH EXAMPLES--Teacher's Guide: Equations of Parallel and Perpendicular Lines
This Teacher's Guide provides an overview of the 32 worked-out examples that show how to find the equation of a line parallel or perpendicular to a given line and through a given point. 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 ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Applications of Linear Functions and Graphs of Linear Functions |
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MATH EXAMPLES--Teacher's Guide: Finding the Equation of a Line, Given Two Points | MATH EXAMPLES--Teacher's Guide: Finding the Equation of a Line, Given Two Points
This Teacher's Guide provides an overview of the 12 worked-out examples that show how to find the equation of a line, given two points. 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 ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Applications of Linear Functions and Graphs of Linear Functions |
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MATH EXAMPLES--Teacher's Guide: Solving Equations with Fractions | MATH EXAMPLES--Teacher's Guide: Solving Equations with Fractions
This Teacher's Guide provides an overview of the 13 worked-out examples that solve a variety of one-variable equations with fractions. 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 ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Solving Fraction Equations |
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MATH EXAMPLES--Teacher's Guide: Solving Equations with Percents | MATH EXAMPLES--Teacher's Guide: Solving Equations with Percents
What Are Percents?Percents Are a Type of Fraction |
Solving Percent Equations |
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MATH EXAMPLES--Teacher's Guide: Solving One-Variable Equations | MATH EXAMPLES--Teacher's Guide: Solving One-Variable Equations
This Teacher's Guide provides an overview of the 27 worked-out examples that solve a variety of one-variable 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 ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Applications of Equations and Inequalities |
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MATH EXAMPLES--Teacher's Guide: Solving Quadratic Equations Graphically | MATH EXAMPLES--Teacher's Guide: Solving Quadratic Equations Graphically
This Teacher's Guide provides an overview of the 8 worked-out examples that show how to solve Quadratic Equations graphically. 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 ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Quadratic Equations and Functions |
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Math Video Definition 19--Addition and Subtraction Concepts--False Equation | Math Video Definition 19--Addition and Subtraction Concepts--False Equation This is part of a collection of math video definitions related to the topics of Addition and Subtraction, ideal for use in an early elementary classroom. Note: The download is an MP4 video. |
Addition Expressions and Equations |
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Math Video Definition 19--Addition and Subtraction Concepts--False Equation (Spanish Audio) | Math Video Definition 19--Addition and Subtraction Concepts--False Equation (Spanish Audio) This is part of a collection of math video definitions related to the topics of Addition and Subtraction, ideal for use in an early elementary classroom. These videos have Spanish audio. Note: The download is an MP4 video. |
Addition Expressions and Equations |
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Math Video Definition 21--Multiplication and Division Concepts--False Equation | Math Video Definition 21--Multiplication and Division Concepts--False Equation This is part of a collection of math video definitions related to the topics of Multiplication and Division, ideal for use in an early elementary classroom. Note: The download is an MP4 video. |
Multiplication Expressions and Equations |
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Math Video Definition 49--Addition and Subtraction Concepts--True Equation | Math Video Definition 49--Addition and Subtraction Concepts--True Equation This is part of a collection of math video definitions related to the topics of Addition and Subtraction, ideal for use in an early elementary classroom. Note: The download is an MP4 video. |
Addition Expressions and Equations |
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Math Video Definition 49--Addition and Subtraction Concepts--True Equation (Spanish Audio) | Math Video Definition 49--Addition and Subtraction Concepts--True Equation (Spanish Audio) This is part of a collection of math video definitions related to the topics of Addition and Subtraction, ideal for use in an early elementary classroom. These videos have Spanish audio. Note: The download is an MP4 video. |
Addition Expressions and Equations |
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Math Video Definition 52--Multiplication and Division Concepts--True Equation | Math Video Definition 52--Multiplication and Division Concepts--True Equation This is part of a collection of math video definitions related to the topics of Multiplication and Division, ideal for use in an early elementary classroom. Note: The download is an MP4 video. |
Multiplication Expressions and Equations |
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VIDEO: Overview of Variables and Equations | VIDEO: Overview of Variables and Equations
What Is a Variable?A variable is a symbol, usually a letter, that can stand for different things. |
Variable Expressions, Applications of Equations and Inequalities and Variables and Unknowns |
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Paper-and-Pencil Quiz: Equation of a Line Given Two Points (Easy) | Paper-and-Pencil Quiz: Equation of a Line Given Two Points (Easy)
This is part of a collection of math quizzes on the topic of finding the Equation of a Line Given Two Points. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.ary">click on this link. |
Point-Slope Form and Slope-Intercept Form |
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Paper-and-Pencil Quiz: Equation of a Line Given Two Points (Hard) | Paper-and-Pencil Quiz: Equation of a Line Given Two Points (Hard)
This is part of a collection of math quizzes on the topic of finding the Equation of a Line Given Two Points. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.ary">click on this link. |
Point-Slope Form and Slope-Intercept Form |
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Paper-and-Pencil Quiz: Equation of a Line Given Two Points (Medium) | Paper-and-Pencil Quiz: Equation of a Line Given Two Points (Medium)
This is part of a collection of math quizzes on the topic of finding the Equation of a Line Given Two Points. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.ary">click on this link. |
Point-Slope Form and Slope-Intercept Form |
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Paper-and-Pencil Quiz: Equations with Fractions (Easy) | Paper-and-Pencil Quiz: Equations with Fractions (Easy)
This is part of a collection of math quizzes on the topic of Equations with Fractions. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.ary">click on this link. |
Solving Fraction Equations |
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Paper-and-Pencil Quiz: Equations with Fractions (Hard) | Paper-and-Pencil Quiz: Equations with Fractions (Hard)
This is part of a collection of math quizzes on the topic of Equations with Fractions. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.ary">click on this link. |
Solving Fraction Equations |
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Paper-and-Pencil Quiz: Equations with Fractions (Medium) | Paper-and-Pencil Quiz: Equations with Fractions (Medium)
This is part of a collection of math quizzes on the topic of Equations with Fractions. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.ary">click on this link. |
Solving Fraction Equations |
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Paper-and-Pencil Quiz: Equations with Percents (Easy) | Paper-and-Pencil Quiz: Equations with Percents (Easy)
This is part of a collection of math quizzes on the topic of Equations with Percents. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.ary">click on this link. |
Solving Percent Equations |
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Paper-and-Pencil Quiz: Equations with Percents (Hard) | Paper-and-Pencil Quiz: Equations with Percents (Hard)
This is part of a collection of math quizzes on the topic of Equations with Percents. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.ary">click on this link. |
Solving Percent Equations |
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Paper-and-Pencil Quiz: Equations with Percents (Medium) | Paper-and-Pencil Quiz: Equations with Percents (Medium)
This is part of a collection of math quizzes on the topic of Equations with Percents. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.ary">click on this link. |
Solving Percent Equations |
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Paper-and-Pencil Quiz: Linear Equations Given m and b (Easy) | Paper-and-Pencil Quiz: Linear Equations Given m and b (Easy)
This is part of a collection of math quizzes on the topic of Linear Equations. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.ary">click on this link. |
Slope-Intercept Form |
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Paper-and-Pencil Quiz: Linear Equations Given m and b (Hard) | Paper-and-Pencil Quiz: Linear Equations Given m and b (Hard)
This is part of a collection of math quizzes on the topic of Linear Equations. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.ary">click on this link. |
Slope-Intercept Form |
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Paper-and-Pencil Quiz: Linear Equations Given m and b (Medium) | Paper-and-Pencil Quiz: Linear Equations Given m and b (Medium)
This is part of a collection of math quizzes on the topic of Linear Equations. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.ary">click on this link. |
Slope-Intercept Form |
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Paper-and-Pencil Quiz: Solving One-Step Addition Equations, Quiz 01, Level 1 | Paper-and-Pencil Quiz: Solving One-Step Addition Equations, Quiz 01, Level 1
This is part of a collection of math quizzes on the topic of solving one-step equations. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.ary">click on this link. |
Solving One-Step Equations |
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Paper-and-Pencil Quiz: Solving One-Step Addition Equations, Quiz 01, Level 2 | Paper-and-Pencil Quiz: Solving One-Step Addition Equations, Quiz 01, Level 2
This is part of a collection of math quizzes on the topic of solving one-step equations. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.ary">click on this link. |
Solving One-Step Equations |
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Paper-and-Pencil Quiz: Solving One-Step Addition Equations, Quiz 01, Level 3 | Paper-and-Pencil Quiz: Solving One-Step Addition Equations, Quiz 01, Level 3
This is part of a collection of math quizzes on the topic of solving one-step equations. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.ary">click on this link. |
Solving One-Step Equations |
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Paper-and-Pencil Quiz: Solving One-Step Addition Equations, Quiz 02, Level 1 | Paper-and-Pencil Quiz: Solving One-Step Addition Equations, Quiz 02, Level 1
This is part of a collection of math quizzes on the topic of solving one-step equations. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.ary">click on this link. |
Solving One-Step Equations |
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Paper-and-Pencil Quiz: Solving One-Step Addition Equations, Quiz 02, Level 2 | Paper-and-Pencil Quiz: Solving One-Step Addition Equations, Quiz 02, Level 2
This is part of a collection of math quizzes on the topic of solving one-step equations. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.ary">click on this link. |
Solving One-Step Equations |
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Paper-and-Pencil Quiz: Solving One-Step Addition Equations, Quiz 02, Level 3 | Paper-and-Pencil Quiz: Solving One-Step Addition Equations, Quiz 02, Level 3
This is part of a collection of math quizzes on the topic of solving one-step equations. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.ary">click on this link. |
Solving One-Step Equations |
