Illustrative Math Alignment: Grade 7 Unit 5

Rational Number Arithmetic

Lesson 7: Adding and Subtracting to Solve Problems

Use the following Media4Math resources with this Illustrative Math lesson.

Title	Body	Curriculum Topics
Math Example--Rational Concepts--Rational vs Irrational--Example 4	Math Example--Rational Concepts--Rational vs Irrational--Example 4 This is part of a collection of math examples that focus on rational number concepts. This includes rational numbers, expressions, and functions.	Rational Expressions
Math Example--Rational Concepts--Rational vs Irrational--Example 5	Math Example--Rational Concepts--Rational vs Irrational--Example 5 This is part of a collection of math examples that focus on rational number concepts. This includes rational numbers, expressions, and functions.	Rational Expressions
Math Example--Rational Concepts--Rational vs Irrational--Example 6	Math Example--Rational Concepts--Rational vs Irrational--Example 6 This is part of a collection of math examples that focus on rational number concepts. This includes rational numbers, expressions, and functions.	Rational Expressions
Math Example--Rational Concepts--Rational vs Irrational--Example 7	Math Example--Rational Concepts--Rational vs Irrational--Example 7 This is part of a collection of math examples that focus on rational number concepts. This includes rational numbers, expressions, and functions.	Rational Expressions
Math Example--Rational Concepts--Rational vs Irrational--Example 8	Math Example--Rational Concepts--Rational vs Irrational--Example 8 This is part of a collection of math examples that focus on rational number concepts. This includes rational numbers, expressions, and functions.	Rational Expressions
Math Example--Rational Concepts--Rational vs Irrational--Example 9	Math Example--Rational Concepts--Rational vs Irrational--Example 9 This is part of a collection of math examples that focus on rational number concepts. This includes rational numbers, expressions, and functions.	Rational Expressions
Math Example--Solving Equations--Equations with Fractions: Example 10	Equations with Fractions: Example 10 Topic Equations Description This example illustrates solving Equations with Fractions: Example 10 which involves fractions. These equations can be addressed by first removing the fractions by finding a common denominator and multiplying through. This transforms the equation into a standard linear form that can then be solved by isolating the variable. The specific equation in the image shows the importance of maintaining accuracy in operations, and understanding the process is crucial for advancing in algebra.	Solving Fraction Equations
Math Example--Solving Equations--Equations with Fractions: Example 11	Equations with Fractions: Example 11 Topic Equations Description This example illustrates solving Equations with Fractions: Example 11 which involves fractions. These equations can be addressed by first removing the fractions by finding a common denominator and multiplying through. This transforms the equation into a standard linear form that can then be solved by isolating the variable. The specific equation in the image shows the importance of maintaining accuracy in operations, and understanding the process is crucial for advancing in algebra.	Solving Fraction Equations
Math Example--Solving Equations--Equations with Fractions: Example 12	Equations with Fractions: Example 12 Topic Equations Description This example illustrates solving Equations with Fractions: Example 12 which involves fractions. These equations can be addressed by first removing the fractions by finding a common denominator and multiplying through. This transforms the equation into a standard linear form that can then be solved by isolating the variable. The specific equation in the image shows the importance of maintaining accuracy in operations, and understanding the process is crucial for advancing in algebra.	Solving Fraction Equations
Math Example--Solving Equations--Equations with Fractions: Example 13	Equations with Fractions: Example 13 Topic Equations Description This example illustrates solving Equations with Fractions: Example 13 which involves fractions. These equations can be addressed by first removing the fractions by finding a common denominator and multiplying through. This transforms the equation into a standard linear form that can then be solved by isolating the variable. The specific equation in the image shows the importance of maintaining accuracy in operations, and understanding the process is crucial for advancing in algebra.	Solving Fraction Equations
Math Example--Solving Equations--Equations with Fractions: Example 2	h1>Equations with Fractions: Example 2 Topic Equations	Solving Fraction Equations
Math Example--Solving Equations--Equations with Fractions: Example 3	Equations with Fractions: Example 3 Topic Equations	Solving Fraction Equations
Math Example--Solving Equations--Equations with Fractions: Example 4	Equations with Fractions: Example 4 Topic Equations Description This example illustrates solving Equations with Fractions: Example 4 which involves fractions. These equations can be addressed by first removing the fractions by finding a common denominator and multiplying through. This transforms the equation into a standard linear form that can then be solved by isolating the variable. The specific equation in the image shows the importance of maintaining accuracy in operations, and understanding the process is crucial for advancing in algebra.	Solving Fraction Equations
Math Example--Solving Equations--Equations with Fractions: Example 5	Equations with Fractions: Example 5 Topic Equations Description This example illustrates solving Equations with Fractions: Example 5 which involves fractions. These equations can be addressed by first removing the fractions by finding a common denominator and multiplying through. This transforms the equation into a standard linear form that can then be solved by isolating the variable. The specific equation in the image shows the importance of maintaining accuracy in operations, and understanding the process is crucial for advancing in algebra.	Solving Fraction Equations
Math Example--Solving Equations--Equations with Fractions: Example 6	Equations with Fractions: Example 6 Topic Equations Description This example illustrates solving Equations with Fractions: Example 6 which involves fractions. These equations can be addressed by first removing the fractions by finding a common denominator and multiplying through. This transforms the equation into a standard linear form that can then be solved by isolating the variable. The specific equation in the image shows the importance of maintaining accuracy in operations, and understanding the process is crucial for advancing in algebra.	Solving Fraction Equations
Math Example--Solving Equations--Equations with Fractions: Example 7	Equations with Fractions: Example 7 Topic Equations Description This example illustrates solving Equations with Fractions: Example 7 which involves fractions. These equations can be addressed by first removing the fractions by finding a common denominator and multiplying through. This transforms the equation into a standard linear form that can then be solved by isolating the variable. The specific equation in the image shows the importance of maintaining accuracy in operations, and understanding the process is crucial for advancing in algebra.	Solving Fraction Equations
Math Example--Solving Equations--Equations with Fractions: Example 8	Equations with Fractions: Example 8 Topic Equations Description This example illustrates solving Equations with Fractions: Example 8 which involves fractions. These equations can be addressed by first removing the fractions by finding a common denominator and multiplying through. This transforms the equation into a standard linear form that can then be solved by isolating the variable. The specific equation in the image shows the importance of maintaining accuracy in operations, and understanding the process is crucial for advancing in algebra.	Solving Fraction Equations
Math Example--Solving Equations--Equations with Fractions: Example 9	Equations with Fractions: Example 9 Topic Equations Description This example illustrates solving Equations with Fractions: Example 9 which involves fractions. These equations can be addressed by first removing the fractions by finding a common denominator and multiplying through. This transforms the equation into a standard linear form that can then be solved by isolating the variable. The specific equation in the image shows the importance of maintaining accuracy in operations, and understanding the process is crucial for advancing in algebra.	Solving Fraction Equations
Math Example--Solving Equations--Extraneous Or No Solutions--Example 1	Extraneous Or No Solutions--Example 1 Topic Equations	Radical Functions and Equations and Rational Functions and Equations
Math Example--Solving Equations--Extraneous Or No Solutions--Example 2	Extraneous Or No Solutions--Example 2 Topic Equations	Radical Functions and Equations and Rational Functions and Equations
Math Example--Solving Equations--Extraneous Or No Solutions--Example 3	Extraneous Or No Solutions--Example 3 Topic Equations	Radical Functions and Equations and Rational Functions and Equations
Math Example--Solving Equations--Extraneous Or No Solutions--Example 4	Extraneous Or No Solutions--Example 4 Topic Equations	Radical Functions and Equations and Rational Functions and Equations
Math Example--Solving Equations--Extraneous Or No Solutions--Example 5	Extraneous Or No Solutions--Example 5 Topic Equations	Radical Functions and Equations and Rational Functions and Equations
Math Example--Solving Equations--Extraneous Or No Solutions--Example 6	Extraneous Or No Solutions--Example 6 Topic Equations	Radical Functions and Equations and Rational Functions and Equations
MATH EXAMPLES--Teacher's Guide: Graphs of Rational Functions	MATH EXAMPLES--Teacher's Guide: Graphs of Rational Functions This Teacher's Guide provides an overview of the 28 worked-out examples that show how to graph Rational Functions. 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 Functions and Equations
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 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 Resources To see resources related to this topic click on the Related Resources tab above.	Solving Fraction Equations
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 Resources To see additional resources on this topic, click on the Related Resources tab. Quiz Library To see the complete collection of Quizzes, click on this link. ary">click on this link.	Solving Fraction Equations
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 Resources To see additional resources on this topic, click on the Related Resources tab. Quiz Library To see the complete collection of Quizzes, click on this link. ary">click on this link.	Solving Fraction Equations
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 Resources To see additional resources on this topic, click on the Related Resources tab. Quiz Library To see the complete collection of Quizzes, click on this link. ary">click on this link.	Solving Fraction Equations
Promethean Flipchart: Algebra Applications: Biology	All living things take up a certain amount of space, and therefore have volume. They also have a certain amount of surface area. The ratio of surface area to volume, which is a rational function, reveals important information about the organism. Students look at different graphs of these functions for different organisms. Note: The download for this resources is the Promethean Flipchart. To view the full video [Algebra Applications: Rational Functions, Segment 2: Biology]: https://www.media4math.com/library/algebra-applications-rational-functions-segment-2-biology	Rational Functions and Equations
Promethean Flipchart: Algebra Applications: Hubble	The Hubble Telescope, like all telescopes, relies on the lens formula to focus an image. The lens formula results in a rational equation that can be solved for determining the settings on the lens. Note: The download for this resources is the Promethean Flipchart. To access the full video [Algebra Applications: Rational Functions, Segment 3: Hubble Telescope]: https://www.media4math.com/library/algebra-applications-rational-functions-segment-3-hubble-telescope	Rational Functions and Equations
Promethean Flipchart: Algebra Applications: Submarines	In spite of their massive size, submarines are precision instruments. A submarine must withstand large amounts of water pressure; otherwise, a serious breach can occur. Rational functions are used to study the relationship between water pressure and volume. Students graph rational functions to study the forces at work with a submarine. Note: The download for this resources is the Promethean Flipchart. To access the full video [Algebra Applications: Rational Functions, Segment 1: Submarines]: https://www.media4math.com/library/algebra-applications-rational-functions-segment-1-submarines	Rational Functions and Equations
Promethean Flipchart: Algebra Nspirations: Rational Functions	After briefly reviewing the concept of inverse variation, this video explores Boyle’s law, a real world example of an inversely proportional relationship between pressure and volume of a gas. Written and hosted by internationally acclaimed math educator Dr. Monica Neagoy, it goes on to examine similarities and differences among rational functions and numbers. Finally, it takes a look at rational functions graphs and ends with a delightful example merging Euclidean and analytic geometry, thanks to the TI-Nspire technology. Concepts explored: functions, rational expressions, rational functions, asymptotes Note: The download for this resources is the Promethean Flipchart. To access the full video [Algebra Nspirations: Rational Functions and Expressions]: https://media4math.com/library/algebra-nspirations-rational-functions-and-expressions	Rational Functions 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: Subtracting Rational Numbers, Set 01	Subtract 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 the complete collection of Quizlet Flash Cards on this topic, click on this link: https://bit.ly/3gT8TIq	Subtract Multiple-Digit Numbers
Quizlet Flash Cards: Subtracting Rational Numbers, Set 02	Subtract 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 the complete collection of Quizlet Flash Cards on this topic, click on this link: https://bit.ly/3gT8TIq	Subtract Multiple-Digit Numbers
Quizlet Flash Cards: Subtracting Rational Numbers, Set 03	Subtract 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 the complete collection of Quizlet Flash Cards on this topic, click on this link: https://bit.ly/3gT8TIq	Subtract Multiple-Digit Numbers
Quizlet Flash Cards: Subtracting Rational Numbers, Set 04	Subtract 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 the complete collection of Quizlet Flash Cards on this topic, click on this link: https://bit.ly/3gT8TIq	Subtract Multiple-Digit Numbers
Quizlet Flash Cards: Subtracting Rational Numbers, Set 05	Subtract 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 the complete collection of Quizlet Flash Cards on this topic, click on this link: https://bit.ly/3gT8TIq	Subtract Multiple-Digit Numbers
Quizlet Flash Cards: Subtracting Rational Numbers, Set 06	Subtract 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 the complete collection of Quizlet Flash Cards on this topic, click on this link: https://bit.ly/3gT8TIq	Subtract Multiple-Digit Numbers