1. REVIEW TIC TAC TOE Test is Thursday!

2. #1 Find the area of the rectangle: 3ab 4a 2 b

3. #2 Rationalize:

4. #3 Simplify:

5. #4 Simplify: (5-1) 2 + 5 x 4 ÷ (3-1)

6. #5 Simplify: (10 + 2) ÷ 4 + 10 2 – 5 x 2

7. #6 Multiply: (2√6)(-4√3)

8. #7 Multiply: (x – 1)(3x 2 + 4x – 2)

9. #8 Simplify: 4d 2 x 2d 6

10. #9 Simplify:

11. #10 What is the degree of the polynomial? 4x 2 y + 10x 3 y 2 – 5xy 3

12. #11 Factor the Polynomial: 10xy - 4x + 15y - 6

13. #12 Factor the Polynomial: 2x 2 + 3x - 5

14. #13 Simplify: (x 3 + 2x 2 – x + 4) – (3x 3 – x 2 +3x -1)

15. #14 Multiply: (x + 2)(2x – 1)(x + 3)

16. #15 If x = -3, then x 3 – 5x 2 + 2x – 1 =?

17. #16 Multiply: (4x – 2) 2

18. #17 Simplify:

19. #18 Which is an expression? a. y = 3x + 2 b. 3 ≤ x – 1 c. 5x-3 d. 45x = 9

20. #19 If 5x is one factor of 20x 3 – 15x, what is the other factor?

21. #20 Factor: 9x 2 - 16

22. #21 Find the GCF of 15x 3 y 2 z 5 and 25x 2 y 2 z 4

23. #22 If (x – 4) is a factor of x 2 – x – 12, what is the other factor? Solution: (x + 3)(x – 4) -12 3 4

24. #23 When x 2 – 4 and x 2 + 2x – 8 are factored, they have a common factor. What is the common factor? Solution: Factor: x 2 – 4 Factor: x 2 + 2x – 8 (x) 2 – (2) 2 multiply to -8 (x – 2)(x + 2) add to 2 (x + 4)(x – 2)

25. #24 (x 3 + 2x 2 – x + 4) + (3x 3 – x 2 +3x -1) Solution: Add like terms: 4x 3 + x 2 + 2x + 3

26. #25 Factor: 49x 4 – 42x 2 + 9

27. #26 Given the volume of the box and two sides, find the missing side length… V = 3x 3 + 15x 2 + 12x x + 4 3x ??

28. #27 Find the degree of the monomial: 32x5y432x5y4

29. #28 Simplify: (8 + √12)(4 - √27) Solution: Simplify the radicals 1 st (factor tree) (8 + √12)(4 - √27) (8 + 2√3)(4 - 3√3) (12 - 1√3)

30. #29 Factor: x 2 + 64

31. #30 Factor: 2x 3 + 16x 2 + 30x Solution: Factor out the GCF 1 st ! 2x 3 + 16x 2 + 30x 2x(x 2 + 8x + 15) Now factor the leftovers! 2x(x + 3)(x + 5) 15 3 5 8

32. #31 Simplify:

33. #32 Simplify: Solution: Simplify the fraction Then subtract the exponents

34. #33 Simplify:

35. #34 Find the error: (3x 2 y -4 z 5 ) 2 6x 4 y -9 z 10 (6x 4 y 10 ) / y 8 Solution: the 6 is the error because it is not 3 x 2 it is 3 2,so the 6 should be a 9.

36. #35 Simplify: Solution: Simplify the top with factor trees: And simplify the bottom too: Put it back together: And Simplify! :

37. #36 Ready for the TEST?!