Illustrative Math Alignment: Grade 7 Unit 7

Expressions, Equations, and Inequalities

Lesson 18: Subtraction in Equivalent Expressions

Use the following Media4Math resources with this Illustrative Math lesson.

Title	Body	Curriculum Topic
Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 24	Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 24 Topic Variable Expressions Description This example illustrates the conversion of the verbal statement "Take away negative thirteen times a number from eleven" into the variable expression 13x + 11. It demonstrates how to interpret phrases like "take away" and "times" when dealing with negative numbers, and translate them into algebraic operations, using x to represent "a number".	Numerical Expressions
Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 25	Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 25 Topic Variable Expressions Description This example demonstrates the conversion of the verbal statement "Negative sixteen multiplied by a number minus negative fifteen" into the variable expression -16x - (-15). It showcases how to interpret multiplication and subtraction operations within a sentence, especially when dealing with negative numbers, and translate them into algebraic symbols, using x to represent "a number".	Numerical Expressions
Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 26	Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 26 Topic Variable Expressions Description This example demonstrates the conversion of the verbal statement "Negative nine times a number less negative thirteen" into the variable expression -9x - (-13). It showcases how to interpret multiplication and subtraction operations within a sentence, especially when dealing with negative numbers, and translate them into algebraic symbols, using x to represent "a number".	Numerical Expressions
Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 27	Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 27 Topic Variable Expressions Description This example illustrates the conversion of the verbal statement "Subtract negative nineteen times more than a number from negative five" into the variable expression 19x - 5. It demonstrates how to interpret a complex sentence structure involving multiplication, subtraction, and negative numbers, and translate it into algebraic symbols, using x to represent "a number".	Numerical Expressions
Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 28	Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 28 Topic Variable Expressions Description This example demonstrates the conversion of the verbal statement "Take away negative eleven times a number from negative six" into the variable expression 11x - 6. It showcases how to interpret a complex sentence structure involving multiplication, subtraction, and negative numbers, and translate it into algebraic symbols, using x to represent "a number".	Numerical Expressions
Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 29	Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 29 Topic Variable Expressions Description This example illustrates the conversion of the verbal statement "Negative twelve multiplied by a number minus negative eleven" into the variable expression -12x - (-11). It demonstrates how to interpret multiplication and subtraction operations within a sentence, especially when dealing with negative numbers, and translate them into algebraic symbols, using x to represent "a number".	Numerical Expressions
Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 3	Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 3 Topic Variable Expressions Description This example demonstrates the conversion of the verbal statement "Subtract fifteen times more than a number from twelve" into the variable expression 12 - 15x or -15x + 12. It showcases how to interpret a more complex sentence structure and translate it into algebraic symbols, using x to represent "a number".	Numerical Expressions
Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 30	Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 29 Topic Variable Expressions Description This example illustrates the conversion of the verbal statement "Negative twelve multiplied by a number minus negative eleven" into the variable expression -12x - (-11). It demonstrates how to interpret multiplication and subtraction operations within a sentence, especially when dealing with negative numbers, and translate them into algebraic symbols, using x to represent "a number".	Numerical Expressions
Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 31	Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 31 Topic Variable Expressions Description This example illustrates the conversion of the verbal statement "Subtract negative one times more than a number from negative three" into the variable expression x - 3. It demonstrates how to interpret a complex sentence structure involving multiplication, subtraction, and negative numbers, and translate it into algebraic symbols, using x to represent "a number".	Numerical Expressions
Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 32	Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 32 Topic Variable Expressions Description This example demonstrates the conversion of the verbal statement "Take away negative five times a number from negative seventeen" into the variable expression 5x - 17. It showcases how to interpret a complex sentence structure involving multiplication, subtraction, and negative numbers, and translate it into algebraic symbols, using x to represent "a number".	Numerical Expressions
Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 4	Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 4 Topic Variable Expressions Description This example illustrates the conversion of the verbal statement "Take away six times a number from ten" into the variable expression 10 - 6x or -6x + 10. It demonstrates how to interpret phrases like "take away" and "times" and translate them into algebraic operations, using x to represent "a number".	Numerical Expressions
Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 5	Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 5 Topic Variable Expressions Description This example demonstrates the conversion of the verbal statement "Eleven multiplied by a number minus six" into the variable expression 11x - 6. It showcases how to identify multiplication and subtraction operations within a sentence and translate them into algebraic symbols, using x to represent "a number".	Numerical Expressions
Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 6	Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 6 Topic Variable Expressions Description This example illustrates the conversion of the verbal statement "Seventeen times a number less sixteen" into the variable expression 17x - 16. It demonstrates how to interpret phrases like "times" and "less" and translate them into algebraic operations, using x to represent "a number".	Numerical Expressions
Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 7	Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 7 Topic Variable Expressions Description This example demonstrates the conversion of the verbal statement "Subtract five times more than a number from nine" into the variable expression 9 - 5x, which can be rewritten as -5x + 9. It showcases how to interpret a more complex sentence structure and translate it into algebraic symbols, using x to represent "a number".	Numerical Expressions
Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 8	Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 8 Topic Variable Expressions Description This example illustrates the conversion of the verbal statement "Take away six times a number from ten" into the variable expression 10 - 6x, which can be rewritten as -6x + 10. It demonstrates how to interpret phrases like "take away" and "times" and translate them into algebraic operations, using x to represent "a number".	Numerical Expressions
Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 9	Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 9 Topic Variable Expressions Description This example demonstrates the conversion of the verbal statement "Sixteen multiplied by a number minus negative fifteen" into the variable expression 16x - (-15). It showcases how to interpret multiplication and subtraction operations within a sentence, especially when dealing with negative numbers, and translate them into algebraic symbols, using x to represent "a number".	Numerical Expressions
MATH EXAMPLES--Teacher's Guide: Rational Expressions	MATH EXAMPLES--Teacher's Guide: Rational Expressions This Teacher's Guide provides an overview of the 28 worked-out examples that show how to simplify a variety of rational expressions. 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 Resources To see resources related to this topic click on the Related Resources tab above.	Rational Expressions and Rational Functions and Equations
Math Video Definition 13--Multiplication and Division Concepts--Division Expression	Math Video Definition 13--Multiplication and Division Concepts--Division Expression Topic Multiplication and Division Description A Division Expression includes numbers involved in division but does not include an equality. For example, 12 ÷ 3 or (36 ÷ 3) ÷ 4. This prepares students to transition from basic division to equations. This term connects to equations, bridging basic division operations with algebraic thinking.	Multiplication Expressions and Equations
Math Video Definition 32--Multiplication and Division Concepts--Multiplication Expression	Math Video Definition 32--Multiplication and Division Concepts--Multiplication Expression Topic Multiplication and Division Description A multiplication expression consists of a set of numbers that are multiplied, forming part of a multiplication equation. For example, 3 • 7 = 21. This builds understanding of multiplication as part of algebraic thinking and numerical concepts.	Multiplication Expressions and Equations
Math Video Definition 38--Multiplication and Division Concepts--Numerical Expression	Math Video Definition 38--Multiplication and Division Concepts--Numerical Expression Topic Multiplication and Division Description A numerical expression consists of numbers, operations, and grouping symbols. Examples include 2 • 4 + 9 ÷ 3. Lays the foundation for solving complex problems and understanding order of operations.	Multiplication Expressions and Equations
Math Video Definition 4--Addition and Subtraction Concepts--Addition Expression	Math Video Definition 4--Addition and Subtraction Concepts--Addition Expression Topic Addition and Subtraction	Addition Expressions and Equations
Math Video Definition 4--Addition and Subtraction Concepts--Addition Expression (Spanish Audio)	Math Video Definition 4--Addition and Subtraction Concepts--Addition Expression (Spanish Audio) Topic Addition and Subtraction	Addition Expressions and Equations
Math Video Definition 41--Addition and Subtraction Concepts--Subtraction Expression	Math Video Definition 41--Addition and Subtraction Concepts--Subtraction Expression Topic Addition and Subtraction	Addition Expressions and Equations
Math Video Definition 41--Addition and Subtraction Concepts--Subtraction Expression (Spanish Audio)	Math Video Definition 41--Addition and Subtraction Concepts--Subtraction Expression (Spanish Audio) Topic Addition and Subtraction	Addition Expressions and Equations
Quizlet Flash Cards: Adding Rational Numbers, Set 01	Description Add rational numbers in this 20-flash card set. The values of the numerators and denominators are in the range -10 to 10. 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.	Numerical Expressions
Quizlet Flash Cards: Adding Rational Numbers, Set 02	Description Add rational numbers in this 20-flash card set. The values of the numerators and denominators are in the range -10 to 10. 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.	Numerical Expressions
Quizlet Flash Cards: Adding Rational Numbers, Set 03	Description Add rational numbers in this 20-flash card set. The values of the numerators and denominators are in the range -10 to 10. 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.	Numerical Expressions
Quizlet Flash Cards: Adding Rational Numbers, Set 04	Description Add rational numbers in this 20-flash card set. The values of the numerators and denominators are in the range -10 to 10. 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.	Numerical Expressions
Quizlet Flash Cards: Adding Rational Numbers, Set 05	Description Add rational numbers in this 20-flash card set. The values of the numerators and denominators are in the range -10 to 10. 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.	Numerical Expressions
Quizlet Flash Cards: Adding Rational Numbers, Set 06	Description Add rational numbers in this 20-flash card set. The values of the numerators and denominators are in the range -10 to 10. 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.	Numerical Expressions
Quizlet Flash Cards: Adding Rational Numbers, Set 07	Description Add rational numbers in this 20-flash card set. The values of the numerators and denominators are in the range -10 to 10. 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.	Numerical Expressions
Quizlet Flash Cards: Adding Rational Numbers, Set 08	Description Add rational numbers in this 20-flash card set. The values of the numerators and denominators are in the range -10 to 10. 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.	Numerical Expressions
Quizlet Flash Cards: Adding Rational Numbers, Set 09	Description Add rational numbers in this 20-flash card set. The values of the numerators and denominators are in the range -10 to 10. 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.	Numerical Expressions
Quizlet Flash Cards: Adding Rational Numbers, Set 10	Description Add rational numbers in this 20-flash card set. The values of the numerators and denominators are in the range -10 to 10. 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.	Numerical Expressions
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
Quizlet Flash Cards: Evaluating Numerical Expressions, Set 01	Description In this set of flash cards students are asked to evaluate numerical expressions with grouping symbols and compare that to a given value. 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.	Numerical Expressions
Quizlet Flash Cards: Evaluating Numerical Expressions, Set 02	Description In this set of flash cards students are asked to evaluate numerical expressions with grouping symbols and compare that to a given value. 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.	Numerical Expressions
Quizlet Flash Cards: Evaluating Numerical Expressions, Set 03	Description In this set of flash cards students are asked to evaluate numerical expressions with grouping symbols and compare that to a given value. 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.	Numerical Expressions
Quizlet Flash Cards: Evaluating Numerical Expressions, Set 04	Description In this set of flash cards students are asked to evaluate numerical expressions with grouping symbols and compare that to a given value. 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.	Numerical Expressions
Quizlet Flash Cards: Evaluating Numerical Expressions, Set 05	Description In this set of flash cards students are asked to evaluate numerical expressions with grouping symbols and compare that to a given value. 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.	Numerical Expressions
Quizlet Flash Cards: Numerical Expressions with Grouping Symbols, Set 01	Description In this set of flash cards, students are asked to simplify numerical expressions with grouping symbols. 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.	Numerical Expressions