1. Math 20-1 Chapter 6 Rational Expressions and Equations 7.5 7.6 Solve Rational Equations Teacher Notes

2. ExpressionEquation Simplify Solve What is one main difference? Which one can you ?

3. When do you need to use a LCD? What do you do with the LCD?

4. A rational equation is an equation containing at least one rational expressions. are rational equations. 4. _______________________________. 3. _______________________________________ 2. ____________________________________ ______________________________________ ______________________________________ 1. Determine _________________________________ To solve a rational equation: 7.5 Solve Rational Equations 6.4.1

5. Solve Rational Equations Domain Verify by substitution 6.4.2 Do you need to use a LCD? What do you do with the LCD?

6. Solve Rational Equations Multiply Domain Verify by substitution 6.4.3 Do you need to use a LCD? What do you do with the LCD?

7. Solve Rational Equations Domain 6.4.4

8. Your Turn 6.4.5 http://www.regentsprep.org/Regents/math/al gtrig/ATE11/RationalEqPract.htm

10. Stop DO THE 7.5 ASSGN.

11. smaller larger Find the value of two integers. One positive integer is 5 more than the other. When the reciprocal of the larger number is subtracted from the reciprocal of the smaller the result is.

12. 1. A traveling salesman drives from home to a client’s store 150 miles away. On the return trip he drives 10 miles per hour slower and adds one-half hour in driving time. At what speed was the salesperson driving on the way to the client’s store? Let ___be the ________________________________. Application of Solving Rational Equations 6.4.6

13. The salesman drove from home to the client’s store at ________miles per hour. Why is -50 not an acceptable answer? 6.4.7

14. The return trip took one-half hour longer. At 60 mph the time taken to drive the 150 miles from the salesman’s home to the clients store is = 2.5 h. Check: At 50 mph (ten miles per hour slower) the time taken to make the return trip of 150 miles is = 3 h. 6.4.8

15. 2. If a painter can paint a room in 4 hours and her assistant can paint the room in 6 hours, how many hours will it take them to paint the room working together? Let ___be the ________________________________________________. Application of Solving Rational Equations ( ) += 6.4.9 Write an equation, in terms of t, to represent completing the job working together.

16. Working together they will paint the room in _____ hours. Application of Solving Rational Equations 6.4.10

17. Your Turn Andrea can wallpaper a bathroom in 3 hr. Erin can wallpaper the same bathroom in 5 hr. How long would it take them if they worked together? Let _____be the ___________________________________________. Working together they will paper the room in ____________hours. 6.4.11

18. 6.4.12 Suggested Questions: Part A Solving Equations: Page 348: 1a,c, 2, 3a,c, 4, 5, 6b, 7, 8 Part B Applications: Page 348: 11, 12, 14, 15, 16, 18, 27