Reviewer in Math I

I. Identify the property illustrated by each expression:a. 8 + [6 + (-7)] = (8+6) + (-7) b. 12 + 6 = 18 c. If 4r + 20 (7h) =36, and r=5h, then 20h + 20 (7h) =36 d. If x+4 = 15, then x+4 – 4 = 15 – 4.e. 4r + 20 (7h) = 4r + 20 (7h)

II. Factor completely:1. 45a3b2c – 15a2b3c + 25a2b4c3

2. 144mn4p2 + 96m2n3p4 – 72m3n2c3

3. 24(x – 3) + 5x(x – 3)4. 13p(2q -3p) – 12(3p – 2q)5. 4x2 (5y – 2) – 2x(5y – 2)6. 16x(a – b) + 2(a – b)7. 3m(n + 2) – (n + 2)8. 21(p – 3q) + 5s(3q – p)9. 18p2(4x – 3y) – 3q(4x – 3y)10. 15x (16m – n) + 2y(16m – n)12. 12ab – 14ac + 16 ad13. 15x2y4 + 125x3y5 – 75x4y6

14. x2(2x +5) – 4(2x + 5)15. 2x (a – b) + 6(b - a) 16. 5m (m + n) – 2n(m + n)17. 15x2 (12 – x) + 3x(12 – x)18. ax2 + bx19. 75a 2 x2 + 50ax2 – 100ax 20. 12a2b2 – 10ab2

21. 17abc – 34b2c + 51bc2 22. 32mn2 + 16m2n23. x(2x +5) + 3(2x + 5) 24. 5m (m + n) – 2n(m + n)25. x2 (a – b) + 2x (a – b) + 6(b – a) 26. 2a(a - 6) - 5(6 – a) 27. 4a2(a + 5) + (a + 5) 28. 27x3 – 75a 2x

29. 5x2 -

254y2

30. (a+b)2 – c2

31. (3x – 1)2 - 432. 0.32bc2 – b3

33. 4b2 – 1

34.

2536 - y2

35. m8 – n4

36. (x + 3)2 – 0.16 y2

37. 32x4 – 16238. 64 – 16a + a 2

39. ¼ x2 – 3x + 940. p 2 – 2pq + q 2 41. (x + 1)2 + 2(x+1) + 142. 2ac2 – 16ac + 32a43. x2 + 13x + 30 44. x2 – 2x – 48 45. y2 + 11y + 18 46. 2x2 – 4x – 7047. 3x3 – 6x2y – 72xy2 48. 4m2 + 21mn + 5n2

49. 8a2 – 10ab – 3b2

50. 4a2 + 14 a – 851.6x2y – 26xy – 20y52. (x-2)2 + 6(x-2) – 1653. mx2 – my2+ nx2 – ny2

54. 2a2 x−8b2 x+a2 y−4 b2 y

55. x2− y2+4 yz−4 z2

III. Find the missing term to make a perfect square trinomial:1. _____ - 6xy + 4y2

2. 9a2 + ____ + 1003. 144b2 - _____ + 64 c2

4. 25m2 + 30mn + _____5. 0.16x2 + ____ + 0.49

IV. Solve for the unknown in the following linear equations:

1) x + 7 = 32) –14 = x – 9 3) 2x – 3 = x + 54) 2x + 8 = x – 7

5)− 310x=9

6)−14x=16

7)

113x−3=4

8)

x+23

=2 x−75

9)

2h−34

−1=h−53