Illustrative Math Alignment: Grade 7 Unit 9

Putting it All Together

Lesson 7: More Expressions and Equations

Use the following Media4Math resources with this Illustrative Math lesson.

Title	Body	Curriculum Topic
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 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
Quizlet Flash Cards: Adding Variable Expressions, Set 01	Description Add variable expressions in this 20-flash card set. The integers are in the range -20 to 20. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related Resources To see other resources related to this topic, click on the Resources tab above. Quizlet Library To see the complete Quizlet Flash Card Library, click on this Link to see the collection.	Variable Expressions
Quizlet Flash Cards: Adding Variable Expressions, Set 02	Description Add variable expressions in this 20-flash card set. The integers are in the range -20 to 20. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related Resources To see other resources related to this topic, click on the Resources tab above. Quizlet Library To see the complete Quizlet Flash Card Library, click on this Link to see the collection.	Variable Expressions
Quizlet Flash Cards: Adding Variable Expressions, Set 03	Description Add variable expressions in this 20-flash card set. The integers are in the range -20 to 20. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related Resources To see other resources related to this topic, click on the Resources tab above. Quizlet Library To see the complete Quizlet Flash Card Library, click on this Link to see the collection.	Variable Expressions
Quizlet Flash Cards: Adding Variable Expressions, Set 04	Description Add variable expressions in this 20-flash card set. The integers are in the range -20 to 20. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related Resources To see other resources related to this topic, click on the Resources tab above. Quizlet Library To see the complete Quizlet Flash Card Library, click on this Link to see the collection.	Variable Expressions
Quizlet Flash Cards: Adding Variable Expressions, Set 05	Description Add variable expressions in this 20-flash card set. The integers are in the range -20 to 20. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related Resources To see other resources related to this topic, click on the Resources tab above. Quizlet Library To see the complete Quizlet Flash Card Library, click on this Link to see the collection.	Variable Expressions
Quizlet Flash Cards: Adding Variable Expressions, Set 06	Description Add variable expressions in this 20-flash card set. The integers are in the range -20 to 20. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related Resources To see other resources related to this topic, click on the Resources tab above. Quizlet Library To see the complete Quizlet Flash Card Library, click on this Link to see the collection.	Variable Expressions
Quizlet Flash Cards: Adding Variable Expressions, Set 07	Description Add variable expressions in this 20-flash card set. The integers are in the range -20 to 20. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related Resources To see other resources related to this topic, click on the Resources tab above. Quizlet Library To see the complete Quizlet Flash Card Library, click on this Link to see the collection.	Variable Expressions
Quizlet Flash Cards: Adding Variable Expressions, Set 08	Description Add variable expressions in this 20-flash card set. The integers are in the range -20 to 20. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related Resources To see other resources related to this topic, click on the Resources tab above. Quizlet Library To see the complete Quizlet Flash Card Library, click on this Link to see the collection.	Variable Expressions
Quizlet Flash Cards: Adding Variable Expressions, Set 09	Description Add variable expressions in this 20-flash card set. The integers are in the range -20 to 20. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related Resources To see other resources related to this topic, click on the Resources tab above. Quizlet Library To see the complete Quizlet Flash Card Library, click on this Link to see the collection.	Variable Expressions
Quizlet Flash Cards: Adding Variable Expressions, Set 10	Description Add variable expressions in this 20-flash card set. The integers are in the range -20 to 20. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related Resources To see other resources related to this topic, click on the Resources tab above. Quizlet Library To see the complete Quizlet Flash Card Library, click on this Link to see the collection.	Variable Expressions
Video Transcript: Algebra Tiles: Simplifying Variable Expressions Using Algebra Tiles	Video Transcript: Algebra Tiles: Simplifying Variable Expressions Using Algebra Tiles What Are Algebra Tiles? Numerical Models	Algebra Tiles--Expressions and Equations
Video Transcript: Integers: Variable Expressions with Integers	Video Transcript: Integers: Variable Expressions with Integers This is the transcript that goes with the video segment entitled Video Tutorial: Integers: Variable Expressions with Integers. This is part of a collection of video transcripts for the video tutorial series on Integers. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript Library To see the complete collection of video transcriptsy, click on this link.	Numerical Expressions
Video Transcript: Rational Numbers: Variable Expressions with Rational Numbers	Video Transcript: Rational Numbers: Variable Expressions with Rational Numbers This is the transcript that goes with the video segment entitled Video Tutorial: Rational Numbers: Variable Expressions with Rational Numbers. This is part of a collection of video transcripts for the video tutorial series on Rational Numbers. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript Library To see the complete collection of video transcriptsy, click on this link.	Rational Expressions
Video Tutorial: Algebra Tiles 16	Video Tutorial: Algebra Tiles: Simplifying Variable Expressions Using Algebra Tiles Description This is part of a collection of video tutorials the topic of Algebra Tiles.This series of videos describes what algebra tiles are and how they can be used to model numbers, operations, expressions, and equations. Use this series if you are incorporating the use of algebra tiles in your instruction. —CLICK PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of the video tutorials on this topic, click on this link. The following section reviews the basics of algebra tiles. Use this material as background material, and also as a supplement to the video series.	Algebra Tiles--Expressions and Equations
Video Tutorial: Integers, Video 11	Video Tutorial: Integers: Variable Expressions with Integers This is part of a series of videos on the topic of Integers. This includes defining integers, modeling integers, integer operations, and integer expressions. —PRESS PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of these videos on integers, click on this link. The following section includes background information on integers (and also rational numbers). Refer to this section as you view the videos, or as review material afterward. What Are Integers? In arithmetic you learned that whole numbers include zero and the counting numbers from 1 to infinity.	Numerical Expressions
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: Rational Numbers: Video 12	Video Tutorial: Rational Numbers: Variable Expressions with Rational Numbers This is part of a collection of video tutorials on the topic of Rational Numbers. This includes defining rational numbers, rational number operations, comparing and ordering rational numbers, and applications of rational numbers. —PRESS PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of these videos on fractions, click on this link. The following section includes background information on rational numbers. Refer to this section as you view the videos, or as review material afterward.	Rational Expressions
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
VIDEO: Brief Review, Video 15	VIDEO: Brief Review: Multiplication Expressions What Is a Variable? A variable is a symbol, usually a letter, that can stand for different things.	Numerical Expressions
VIDEO: Brief Review, Video 16	VIDEO: Brief Review: Division Expressions What Is a Variable? A variable is a symbol, usually a letter, that can stand for different things.	Numerical Expressions
VIDEO: Brief Review, Video 21	VIDEO: Brief Review: Representing a Variable Algebraically What Is a Variable? A variable is a symbol, usually a letter, that can stand for different things.	Numerical and Algebraic Expressions
VIDEO: Brief Review, Video 23	VIDEO: Brief Review: What Is a Variable Expression? What Is a Variable? A variable is a symbol, usually a letter, that can stand for different things.	Numerical and Algebraic Expressions
VIDEO: Brief Review, Video 24	VIDEO: Brief Review: Evaluating Variable Expressions What Is a Variable? A variable is a symbol, usually a letter, that can stand for different things.	Numerical and Algebraic Expressions
VIDEO: Brief Review, Video 25	VIDEO: Brief Review: Simplifying Variable Expressions with Algebra Tiles In this Brief Review, we explore simplifying variable expressions using algebra tiles.	Numerical and Algebraic Expressions
VIDEO: Brief Review, Video 26	VIDEO: Brief Review: Applications of Variable Expressions What Is a Variable? A variable is a symbol, usually a letter, that can stand for different things.	Numerical and Algebraic Expressions
Worksheet: Analyzing Expressions, Worksheet 1	Worksheet: Analyzing Expressions, Worksheet 1 This is part of a collection of math worksheets on the topic of analyzing linear and quadratic expressions to identify specific terms based on a description. 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 and Algebraic Expressions
Worksheet: Analyzing Expressions, Worksheet 2	Worksheet: Analyzing Expressions, Worksheet 2 This is part of a collection of math worksheets on the topic of analyzing linear and quadratic expressions to identify specific terms based on a description. 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 and Algebraic Expressions
Worksheet: Analyzing Expressions, Worksheet 3	Worksheet: Analyzing Expressions, Worksheet 3 This is part of a collection of math worksheets on the topic of analyzing linear and quadratic expressions to identify specific terms based on a description. 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 and Algebraic Expressions
Worksheet: Analyzing Expressions, Worksheet 4	Worksheet: Analyzing Expressions, Worksheet 4 This is part of a collection of math worksheets on the topic of analyzing linear and quadratic expressions to identify specific terms based on a description. 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 and Algebraic Expressions
Worksheet: Analyzing Expressions, Worksheet 5	Worksheet: Analyzing Expressions, Worksheet 5 This is part of a collection of math worksheets on the topic of analyzing linear and quadratic expressions to identify specific terms based on a description. 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 and Algebraic Expressions
Worksheet: Combining Like Terms, Set 19	Getting Started with Finding Like Terms Worksheet This is part of a collection of math worksheets on the topic of combining like terms in an expression. Learning how to identify the different variables in word problems can be an important step toward solving equations and finding like terms. First, read the word problem and try to identify each variable represented. Then, write down your expressions including each variable you’ve identified. This will help you visualize what needs to be solved, making it easier to find like terms in each equation. —PRESS PREVIEW TO SEE THE WORKSHEET— To see the complete collection of worksheets on this topic, click on this link. The next section provides background information on combining like terms.	Numerical Expressions and Variable Expressions
Worksheet: The Language of Math--Numerical Expressions--Subtraction--Set 10	Worksheet: The Language of Math--Numerical Expressions--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--Numerical Expressions--Subtraction--Set 6	Worksheet: The Language of Math--Numerical Expressions--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--Numerical Expressions--Subtraction--Set 7	Worksheet: The Language of Math--Numerical Expressions--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--Numerical Expressions--Subtraction--Set 8	Worksheet: The Language of Math--Numerical Expressions--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--Numerical Expressions--Subtraction--Set 9	Worksheet: The Language of Math--Numerical Expressions--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 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