Mastering Algebra: Advanced Lesson on Rational Equations

1. ALGEBRA – LESSON 105 More on Rational Equations Be ready to grade the homework!

2. Training Camp Answers

3. PS 104

8. Grade Scale – 30 possible 29.5 – 98% 22.5 – 75% 29 – 97% 22 – 73% 28.5 – 95% 21.5 – 72% 28 – 93% 21 – 70% 27.5 – 92% 20.5 – 68% 27 – 90% 20 – 67% 26.5 – 88% 19.5 – 65% 26 – 87% 19 – 63% 25.5 – 85% 18.5 – 62% 25 – 83% 18 – 60% 24.5 – 82% 17.5 – 58% 24 – 80% 17 – 57% 23.5 – 78% 16.5 – 55% 23 – 77% 16 – 53%

9. Grade Scale – 15 possible 14.5 – 97% 7.5 – 50% 14 – 93% 7 – 47% 13.5 – 90% 6.5 – 43% 13 – 87% 6 – 40% 12.5 – 83% 5.5 – 37% 12 – 80% 5 – 33% 11.5 – 77% 4.5 – 30% 11 – 73% 4 – 27% 10.5 – 70% 3.5 – 23% 10 – 67% 3 – 20% 9.5 – 63% 2.5 – 17% 9 – 60% 2 – 13% 8.5 – 57% 1.5 – 10% 8 – 53% 1 – 07%

10. Factor by Grouping Sometimes, we need to think of a long equation as 2 separate equations. Then we can factor each “part” and look to see if each “part” has something in common to factor overall. Review! xy – xz = x(y – z) y(x + 1) – z(x + 1) (x + 1)(y – z)

11. Factor by Grouping Factor by grouping w2x + wxy + w + y Look at the first group. What do they have in common? wx(w + y) + (w + y) (w + y)(wx + 1) #1

12. Factor by Grouping Factor by grouping s2t + stu – 5s – 5u Look at the each group. What do they have in common? st(s + u) – 5(s + u) (s + u)(st – 5) #2

13. Factor by Grouping 15yp – 9p – 10yu + 6u 3p(5y – 3) – 2u(5y – 3) (5y – 3)(3p – 2u) #3

14. Factor by Grouping 10xz – 35z – 14xt + 49t 5z(2x – 7) – 7t(2x – 7) (2x – 7)(5z – 7t) #4

15. Factor by Grouping 35ut – 10t – 14up + 4p 5t(7u – 2) – 2p(7u – 2) (7u – 2)(5t – 2p) #5

16. Homework: