Illustrative Math Alignment: Grade 7 Unit 7

Expressions, Equations, and Inequalities

Lesson 4: Reasoning about Equations and Tape Diagrams (Part 1)

Use the following Media4Math resources with this Illustrative Math lesson.

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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 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 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 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 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 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
Video Tutorial: Properties of Equality	Video Tutorial: Properties of Equality In this video, learn about the properties of equality that are the core of the equation-solving process. They'll learn about true properties for each of the four operations. Only subscribers to Media4Math Library can download these resources.	Applications of Equations and Inequalities
Video Tutorial: What Are Identities?	Video Tutorial: What Are Identities? In this video, students expand their knowledge of properties of equations with a focus on identities. Students will see how to use identities to solve equations, in particular certain quadratic equations.	Applications of Equations and Inequalities and Quadratic Equations and Functions
Video Tutorial: What Is an Equation?	Video Tutorial: What Is an Equation? In this video, students the basics of equations. They'll learn about true equations, false equations, and conditional equations.	Applications of Equations and Inequalities
Worksheet: The Language of Math--Variable Expressions Word Problems--Multiplication and Addition--Set 1	Worksheet: The Language of Math--Variable Expressions Word Problems--Multiplication and Addition--Set 1 This is part of a collection of math worksheets on the topic of the language of math in which students translate verbal expressions into numerical expressions and then perform the calculations. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Numerical Expressions and Variable Expressions
Worksheet: The Language of Math--Variable Expressions Word Problems--Multiplication and Addition--Set 10	Worksheet: The Language of Math--Variable Expressions Word Problems--Multiplication and Addition--Set 10 This is part of a collection of math worksheets on the topic of the language of math in which students translate verbal expressions into numerical expressions and then perform the calculations. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Numerical Expressions and Variable Expressions
Worksheet: The Language of Math--Variable Expressions Word Problems--Multiplication and Addition--Set 2	Worksheet: The Language of Math--Variable Expressions Word Problems--Multiplication and Addition--Set 2 This is part of a collection of math worksheets on the topic of the language of math in which students translate verbal expressions into numerical expressions and then perform the calculations. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Numerical Expressions and Variable Expressions
Worksheet: The Language of Math--Variable Expressions Word Problems--Multiplication and Addition--Set 3	Worksheet: The Language of Math--Variable Expressions Word Problems--Multiplication and Addition--Set 3 This is part of a collection of math worksheets on the topic of the language of math in which students translate verbal expressions into numerical expressions and then perform the calculations. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Numerical Expressions and Variable Expressions
Worksheet: The Language of Math--Variable Expressions Word Problems--Multiplication and Addition--Set 4	Worksheet: The Language of Math--Variable Expressions Word Problems--Multiplication and Addition--Set 4 This is part of a collection of math worksheets on the topic of the language of math in which students translate verbal expressions into numerical expressions and then perform the calculations. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Numerical Expressions and Variable Expressions
Worksheet: The Language of Math--Variable Expressions Word Problems--Multiplication and Addition--Set 5	Worksheet: The Language of Math--Variable Expressions Word Problems--Multiplication and Addition--Set 5 This is part of a collection of math worksheets on the topic of the language of math in which students translate verbal expressions into numerical expressions and then perform the calculations. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Numerical Expressions and Variable Expressions
Worksheet: The Language of Math--Variable Expressions Word Problems--Multiplication and Addition--Set 6	Worksheet: The Language of Math--Variable Expressions Word Problems--Multiplication and Addition--Set 6 This is part of a collection of math worksheets on the topic of the language of math in which students translate verbal expressions into numerical expressions and then perform the calculations. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Numerical Expressions and Variable Expressions
Worksheet: The Language of Math--Variable Expressions Word Problems--Multiplication and Addition--Set 7	Worksheet: The Language of Math--Variable Expressions Word Problems--Multiplication and Addition--Set 7 This is part of a collection of math worksheets on the topic of the language of math in which students translate verbal expressions into numerical expressions and then perform the calculations. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Numerical Expressions and Variable Expressions
Worksheet: The Language of Math--Variable Expressions Word Problems--Multiplication and Addition--Set 8	Worksheet: The Language of Math--Variable Expressions Word Problems--Multiplication and Addition--Set 8 This is part of a collection of math worksheets on the topic of the language of math in which students translate verbal expressions into numerical expressions and then perform the calculations. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Numerical Expressions and Variable Expressions
Worksheet: The Language of Math--Variable Expressions Word Problems--Multiplication and Addition--Set 9	Worksheet: The Language of Math--Variable Expressions Word Problems--Multiplication and Addition--Set 9 This is part of a collection of math worksheets on the topic of the language of math in which students translate verbal expressions into numerical expressions and then perform the calculations. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Numerical Expressions and Variable Expressions
Worksheet: The Language of Math--Variable Expressions Word Problems--Multiplication and Subtraction--Set 1	Worksheet: The Language of Math--Variable Expressions Word Problems--Multiplication and Subtraction--Set 1 This is part of a collection of math worksheets on the topic of the language of math in which students translate verbal expressions into numerical expressions and then perform the calculations. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Numerical Expressions and Variable Expressions
Worksheet: The Language of Math--Variable Expressions Word Problems--Multiplication and Subtraction--Set 10	Worksheet: The Language of Math--Variable Expressions Word Problems--Multiplication and Subtraction--Set 10 This is part of a collection of math worksheets on the topic of the language of math in which students translate verbal expressions into numerical expressions and then perform the calculations. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Numerical Expressions and Variable Expressions
Worksheet: The Language of Math--Variable Expressions Word Problems--Multiplication and Subtraction--Set 2	Worksheet: The Language of Math--Variable Expressions Word Problems--Multiplication and Subtraction--Set 2 This is part of a collection of math worksheets on the topic of the language of math in which students translate verbal expressions into numerical expressions and then perform the calculations. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Numerical Expressions and Variable Expressions
Worksheet: The Language of Math--Variable Expressions Word Problems--Multiplication and Subtraction--Set 3	Worksheet: The Language of Math--Variable Expressions Word Problems--Multiplication and Subtraction--Set 3 This is part of a collection of math worksheets on the topic of the language of math in which students translate verbal expressions into numerical expressions and then perform the calculations. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Numerical Expressions and Variable Expressions
Worksheet: The Language of Math--Variable Expressions Word Problems--Multiplication and Subtraction--Set 4	Worksheet: The Language of Math--Variable Expressions Word Problems--Multiplication and Subtraction--Set 4 This is part of a collection of math worksheets on the topic of the language of math in which students translate verbal expressions into numerical expressions and then perform the calculations. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Numerical Expressions and Variable Expressions
Worksheet: The Language of Math--Variable Expressions Word Problems--Multiplication and Subtraction--Set 5	Worksheet: The Language of Math--Variable Expressions Word Problems--Multiplication and Subtraction--Set 5 This is part of a collection of math worksheets on the topic of the language of math in which students translate verbal expressions into numerical expressions and then perform the calculations. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Numerical Expressions and Variable Expressions
Worksheet: The Language of Math--Variable Expressions Word Problems--Multiplication and Subtraction--Set 6	Worksheet: The Language of Math--Variable Expressions Word Problems--Multiplication and Subtraction--Set 6 This is part of a collection of math worksheets on the topic of the language of math in which students translate verbal expressions into numerical expressions and then perform the calculations. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Numerical Expressions and Variable Expressions
Worksheet: The Language of Math--Variable Expressions Word Problems--Multiplication and Subtraction--Set 7	Worksheet: The Language of Math--Variable Expressions Word Problems--Multiplication and Subtraction--Set 7 This is part of a collection of math worksheets on the topic of the language of math in which students translate verbal expressions into numerical expressions and then perform the calculations. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Numerical Expressions and Variable Expressions
Worksheet: The Language of Math--Variable Expressions Word Problems--Multiplication and Subtraction--Set 8	Worksheet: The Language of Math--Variable Expressions Word Problems--Multiplication and Subtraction--Set 8 This is part of a collection of math worksheets on the topic of the language of math in which students translate verbal expressions into numerical expressions and then perform the calculations. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Numerical Expressions and Variable Expressions
Worksheet: The Language of Math--Variable Expressions Word Problems--Multiplication and Subtraction--Set 9	Worksheet: The Language of Math--Variable Expressions Word Problems--Multiplication and Subtraction--Set 9 This is part of a collection of math worksheets on the topic of the language of math in which students translate verbal expressions into numerical expressions and then perform the calculations. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Numerical Expressions and Variable Expressions
Worksheet: The Language of Math--Variable Expressions--Multiplication and Addition--Set 1	Worksheet: The Language of Math--Variable Expressions--Multiplication and Addition--Set 1 This is part of a collection of math worksheets on the topic of the language of math in which students translate verbal expressions into numerical expressions and then perform the calculations. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Numerical Expressions and Variable Expressions
Worksheet: The Language of Math--Variable Expressions--Multiplication and Addition--Set 10	Worksheet: The Language of Math--Variable Expressions--Multiplication and Addition--Set 10 This is part of a collection of math worksheets on the topic of the language of math in which students translate verbal expressions into numerical expressions and then perform the calculations. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Numerical Expressions and Variable Expressions
Worksheet: The Language of Math--Variable Expressions--Multiplication and Addition--Set 2	Worksheet: The Language of Math--Variable Expressions--Multiplication and Addition--Set 2 This is part of a collection of math worksheets on the topic of the language of math in which students translate verbal expressions into numerical expressions and then perform the calculations. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Numerical Expressions and Variable Expressions
Worksheet: The Language of Math--Variable Expressions--Multiplication and Addition--Set 3	Worksheet: The Language of Math--Variable Expressions--Multiplication and Addition--Set 3 This is part of a collection of math worksheets on the topic of the language of math in which students translate verbal expressions into numerical expressions and then perform the calculations. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Numerical Expressions and Variable Expressions
Worksheet: The Language of Math--Variable Expressions--Multiplication and Addition--Set 4	Worksheet: The Language of Math--Variable Expressions--Multiplication and Addition--Set 4 This is part of a collection of math worksheets on the topic of the language of math in which students translate verbal expressions into numerical expressions and then perform the calculations. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Numerical Expressions and Variable Expressions
Worksheet: The Language of Math--Variable Expressions--Multiplication and Addition--Set 5	Worksheet: The Language of Math--Variable Expressions--Multiplication and Addition--Set 5 This is part of a collection of math worksheets on the topic of the language of math in which students translate verbal expressions into numerical expressions and then perform the calculations. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Numerical Expressions and Variable Expressions
Worksheet: The Language of Math--Variable Expressions--Multiplication and Addition--Set 6	Worksheet: The Language of Math--Variable Expressions--Multiplication and Addition--Set 6 This is part of a collection of math worksheets on the topic of the language of math in which students translate verbal expressions into numerical expressions and then perform the calculations. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Numerical Expressions and Variable Expressions
Worksheet: The Language of Math--Variable Expressions--Multiplication and Addition--Set 7	Worksheet: The Language of Math--Variable Expressions--Multiplication and Addition--Set 7 This is part of a collection of math worksheets on the topic of the language of math in which students translate verbal expressions into numerical expressions and then perform the calculations. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Numerical Expressions and Variable Expressions
Worksheet: The Language of Math--Variable Expressions--Multiplication and Addition--Set 8	Worksheet: The Language of Math--Variable Expressions--Multiplication and Addition--Set 8 This is part of a collection of math worksheets on the topic of the language of math in which students translate verbal expressions into numerical expressions and then perform the calculations. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Numerical Expressions and Variable Expressions
Worksheet: The Language of Math--Variable Expressions--Multiplication and Addition--Set 9	Worksheet: The Language of Math--Variable Expressions--Multiplication and Addition--Set 9 This is part of a collection of math worksheets on the topic of the language of math in which students translate verbal expressions into numerical expressions and then perform the calculations. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Numerical Expressions and Variable Expressions
Worksheet: The Language of Math--Variable Expressions--Multiplication and Subtraction--Set 1	Worksheet: The Language of Math--Variable Expressions--Multiplication and Subtraction--Set 1 This is part of a collection of math worksheets on the topic of the language of math in which students translate verbal expressions into numerical expressions and then perform the calculations. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Numerical Expressions and Variable Expressions

Illustrative Math Alignment: Grade 7 Unit 7

Expressions, Equations, and Inequalities

Lesson 4: Reasoning about Equations and Tape Diagrams (Part 1)

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