Illustrative Math Alignment: Grade 7 Unit 5

Rational Number Arithmetic

Lesson 15: Solving Equations with Rational Numbers

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--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
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
Quizlet Flash Cards: Subtracting Rational Numbers, Set 07	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 08	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 09	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 10	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
Video Definition 1--Rationals and Radicals--Addition of Rational Expressions	Video Definition 1--Rationals and Radicals--Addition of Rational Expressions This is part of a collection of math video definitions related to the topics of rationals and radicals. Note: The download is an MP4 video.	Rational Functions and Equations
Video Definition 1--Rationals and Radicals--Addition of Rational Expressions (Spanish Audio)	Video Definition 1--Rationals and Radicals--Addition of Rational Expressions (Spanish Audio) This is part of a collection of math video definitions related to the topics of rationals and radicals. Note: The download is an MP4 video.	Rational Functions and Equations
Video Definition 10--Rationals and Radicals--Geometric Mean	Video Definition 10--Rationals and Radicals--Geometric Mean This is part of a collection of math video definitions related to the topics of rationals and radicals. Note: The download is an MP4 video.	Radical Expressions
Video Definition 10--Rationals and Radicals--Geometric Mean (Spanish Audio)	Video Definition 10--Rationals and Radicals--Geometric Mean (Spanish Audio) This is part of a collection of math video definitions related to the topics of rationals and radicals. Note: The download is an MP4 video.	Radical Expressions
Video Definition 11--Rationals and Radicals--Graphs of Radical Functions	Video Definition 11--Rationals and Radicals--Graphs of Radical Functions This is part of a collection of math video definitions related to the topics of rationals and radicals. Note: The download is an MP4 video.	Radical Functions and Equations
Video Definition 11--Rationals and Radicals--Graphs of Radical Functions (Spanish Audio)	Video Definition 11--Rationals and Radicals--Graphs of Radical Functions (Spanish Audio) This is part of a collection of math video definitions related to the topics of rationals and radicals. Note: The download is an MP4 video.	Radical Functions and Equations
Video Definition 12--Rationals and Radicals--Graphs of Rational Functions	Video Definition 12--Rationals and Radicals--Graphs of Rational Functions This is part of a collection of math video definitions related to the topics of rationals and radicals. Note: The download is an MP4 video.	Rational Functions and Equations
Video Definition 12--Rationals and Radicals--Graphs of Rational Functions (Spanish Audio)	Video Definition 12--Rationals and Radicals--Graphs of Rational Functions (Spanish Audio) This is part of a collection of math video definitions related to the topics of rationals and radicals. Note: The download is an MP4 video.	Rational Functions and Equations
Video Definition 13--Rationals and Radicals--Horizontal Asymptote	Video Definition 13--Rationals and Radicals--Horizontal Asymptote This is part of a collection of math video definitions related to the topics of rationals and radicals. Note: The download is an MP4 video.	Rational Functions and Equations
Video Definition 13--Rationals and Radicals--Horizontal Asymptote (Spanish Audio)	Video Definition 13--Rationals and Radicals--Horizontal Asymptote (Spanish Audio) This is part of a collection of math video definitions related to the topics of rationals and radicals. Note: The download is an MP4 video.	Rational Functions and Equations
Video Definition 14--Rationals and Radicals--Index	Video Definition 14--Rationals and Radicals--Index This is part of a collection of math video definitions related to the topics of rationals and radicals. Note: The download is an MP4 video.	Radical Expressions
Video Definition 14--Rationals and Radicals--Index (Spanish Audio)	Video Definition 14--Rationals and Radicals--Index (Spanish Audio) This is part of a collection of math video definitions related to the topics of rationals and radicals. Note: The download is an MP4 video.	Radical Expressions