Answers to practice final exam

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1. a) 8y + 7p b) 9r - 15m c) 12tf or 12 ft

2. 10

3. a) -7 b) - 4/5 c) -3t d) 7

4. a) 16 b) -16 c) -9 d) 0

5. 8.9⁰ C

6. m = 8

7. a) 90% b) 20.14 c) 186.9565

8. 3

9. p = (-3r³ + 2r² + 2t) / 9

10. L ≈ 10.29

11. p = 10⁰

12. no

13. a) y = 4x + 3 b) y = 2x + 3/2 c) y = -2x - 3

14. a) -6/5 b) 0

15. neither

16. a) x⁵y² b) - .5t ^{- 3} c) p³⁵ / x²⁸t²¹

17. a) 5.6 x 10⁹ b) 3.42 x 10^-6

18. a) 1,5 x 10³ b) 2.615 x 10^-4 c) 2.9 x 10^-2

19. -8 + 7t + ² + t⁵ + 9t⁷ degree 7

20. a) 7u³ - 6u² + 6u - 10 b) 8t² + 7t⁵ + t⁴ - 2t² + 2t + 2

c) - 21y⁵ + 14y d) t² - t - 2 remainder +2

21. 3t(t² - 2t + 3)

22. x = - 1 y = 2

23. y = 1 x = -1/2 (-1/2, 1)

24. t = 1 y = -7/4 (1, -7/4)

25. domaine all real numbers but x ≠ 8

26. a) 5t/y² b) 1/(4 + 5t)

27. -2y³x/3t³