Simplify each of the following: Absolute Value & Opposites – ( – 4 ) – ( – 9 ) – ( 7 + 3 ) – ( 8 / 4 ) – ( 18 – 11 ) – ( – 8 ) – ( 7 + 12 ) – ( 5 + 2 ) – ( 15 – 8 ) – ( 5 – 4 ) – [– (– 6 ) ] – ( 9  7 ) – ( 36 / 6 ) – ( 3  0 ) – ( 6 – 1 ) – ( 6  2) – ( 7 / 7 ) – ( 9 + 6 ) – ( 14 – 8 ) Add integers –4 + 3 7 + – 9 0 + 3 0 + 4
18 + – 11 –2 + – 1 –8 + 4 –4 9 + – 9 –6 0 + – 2 8 + – 7 –2 + 11 –3 + – 3 8 + – 2 –13 0 + – 3 0 + – 6 –64 + – 8 –7 + – 8 0 + 8 17 + – 3 5 + – 2 15 + – 7 2 + – 3 –8 + 1 –6 + 11 2 + – 3 –1 0 + – 1 5 + 0 5 + – 6 7 + – 17 0 6 + – 7 –14 5 + 9 – 5 + – 1 –2 –8 –2 – 9 + – 7 36 + – 6 – 3 + 0 – 6 + – 0 – 9 + – 1 – 8 + 2 – 6 + 8 – 40 + – 10 – 5 12 + – 5 – 7 + – 4 6 – 2 + – 6 – 8 + – 4 –22 0 15 + – 5 – 3 + – 7 0 + 10 – 4 + 8 – 6 + – 3 7 + – 7 9 4 + – 8 6 + 5 4 – 4 + – 2 3 + – 10 63 + 7 – 13 0 + 2 – 2 + – 13 – 19 + – 1 –8 – 11 – 5 + 7 7 4 + – 19 11 + – 11 Subtract Integers – 6 – 9 – 26 – 11 9 – 8 11 – 41 13 – 19 – 9 – 4 – 1 – 13 –2
23 + – 3 – 9 30 + – 6 6 + – 8 –5 – 18 – 3 – 4 16 + – 18 –13 6 + – 6 9 – 0 –12 + – 13 – 36 – 16 6 – 8 – 19 + – 13 9 + – 2 16 – 13 5 – 12 – 9 + 20 – 8 + 16 9 + – 3 –17 14 – 0 23 – 4 5 – 7 6 – 37 7 – 3 + – 5 –14 5 – 11 – 24 – 1 –61 – 14 13 – 5 + – 11 41 – 7 – 9 + 1 – 7 – 16 – 11 – 13 – 13 – 14 – 26 – 15 – 34 + – 21 – 35 62 – 53 – 25 + – 13 70 – 51 + – 6 – 72 – 52 –16 20 10 – 15 – 7 + – 23 30 + 39 12 – 8 – 7 8 4 8 – 18 45 + 11 14 – 7 + – 2 23 – 29 47 – 51 – 14 1 – 7 – 39 – 16 – 81 – 1 – 45 – 19 – 13 + 69 37 8 – 43 48 + – 24 Multiply Integers –5 7 6 – 4 9 3 12 4 9 – 10 –6 – 7 –3 8 –11 8 – 9 –7 6 – 3 12 – 10
–12 11 –13 – 6 33 – 3 –41 8 – 3 10 – 99 –61 – 9 –35 – 4 12 8 18 – 2 12 – 5 11 – 10 2 – 31 –9 12 –5 14 7 – 9 –4 0 – 41 8 0 7 – 1 4 – 32 1 0 – 7 –4 – 11 15 6 – 4 – 2 –30 – 10 –6 – 5 –5 – 8 – 8 – 7 49 – 3 – 19 0 – 12 – 1 – 50 – 5 – 5 21 – 9 8 – 61 – 9 – 2 – 2 12 – 8 – 4 – 6 13 – 8 – 5 – 6 – 9 – 4 –71 – 8 10 – 20 7 – 25 – 6 – 7 10 10 – 3 3 – 11 – 11 8 – 2 6 – 6 9 – 8 7 12 16 – 8 – 8 4 – 11 85 7 – 16 – 7 0 24 – 6 – 25 – 87 – 1 –7 – 9 – 81 –4 – 3 12 0 14 – 2 12 – 12 Divide Integers Simplify. fraction answers in lowest terms.
80. All Operations –2 + 3 8 – 9 0 + 5 0/7 19 – 10 –4 – 1 –7 2 –9 9 / – 9 –9 0 / – 3 9 + – 7 –2 + 6 –1 – 3 7 – 2 –14 0 – 2 0 – 8 –56 / – 8 –7 – 6 0 + 5 16 + – 3 6 + – 3 16 – 7 4 – 5 –9 + 1 –9 + 10 6 – 3 –1 0 – 5
8 – 0 5 – 3 6 – 16 0 4 + – 7 –13 2 2 – 5 – 4 –3 –8 –1 – 1 – 9 30 / – 6 – 1 0 – 7 – 0 – 5 – 1 – 6 / 3 – 2 8 – 30 / – 10 – 5 13 – 5 – 7 – 8 0 – 3 – 6 – 1 – 4 –23 0 13 – 5 – 7 – 7 0 5 – 5 + 8 – 6 – 1 6 / – 6 9 3 – 9 6 + 8 4 – 4 / – 1 2 – 10 63 / 9 – 13 0 6 – 2 – 7 – 10 – 1 –8 – 11 – 5 + 6 7 4 – 18 9 + – 9
Decimal Rationals Review Matrix Operations Simplify the following: 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22.
5 ( x – 8 ) 6 ( 8 – x ) 3 ( 2 – g ) 8 ( 4 + 2 x ) 9 ( 5 + 8x ) 8 ( 9 – 3y ) 4 ( 8 – 6y ) –5 ( 3x + 7 ) –4 ( 8x + 7 ) –3 ( 2 – 3x ) –3 ( 7 – 4x ) –5 (–3x – 7 ) –2 (–x – 5 ) –3 (–9 – 11x ) –11 (–2 – 5x ) –5 ( 3x + 2y ) 4 ( 2x + 5 ) + 11 2 ( 4 + 8x ) + 12 5 ( x + 13 ) + x 4 ( 5x + 12 ) + 6x 2 ( x – 11 ) + 1 2m – 7( 8w + 9m ) 6x – 6 ( 6x – 7 ) 2w + 7 ( 7w – 9 ) 9 – 4 ( 2n + 3 ) 6 – 5 ( 3 – 9c ) 3 ( 2x + 8 ) – 6 7 ( 4 + 7x ) – 5 3 ( 2x – 11 ) – 10x 3 ( 5 + x ) – 6 5 ( 6x + 8 ) – 3x 9 ( 3x – 2y ) + 9y 7y – 4 ( 2y – 9 ) 3m – 8 ( 7w + 6m ) 4x + 8 ( 3x – 4 ) 6w – 5 ( 9w + 6 ) 7 – 3 ( 2 + 3n ) 1 + 5 ( 7n – 8 ) 3 – 8 ( 11x – 4 } 16 – 5 ( 4 – 8x ) 6 ( 4z + 8 ) + ( 11z + 4 ) 2 ( 6 + 5x ) + 3 ( 4 + 8x ) – 3 ( 5 – 3w) – ( 5w + 4 ) 7 ( 2c + 8 ) – ( 9 – 5c ) – 6( 3y – 3p ) + 2(5p + 4y ) 9 ( 3x + 7 ) + ( 5x – 4 ) – 11 ( 8 – 3h ) – 3 ( h – 2 ) 9 ( 5 – 8d ) + 7 ( d + 9 ) 8 ( k + m ) – ( k + m ) 4(2x – 7) – 5 (6 – 3x)
Solve the following equations showing all the work. 1. a – 11 = 15 2. b – 8 = 17 3. y + 7 = 29 4. x + 18 = 31 5. – 76 + m = 92 6. – 49 + n = 63 7. c – 30 = – 19 8. d – 24 = – 15 9. p + 18 = – 32 10. s + 90 = – 55 11. 24 + t = 0 12. 0 = z – 14 13. v – 37 = – 54 14. w – 94 = – 110 15. – 7 + k = – 17 16. – 18 + h = – 38 17. 45 = x + 16 18. 39 = y + 12 19. – 19 – a = – 23 20. b – 32 = – 82 21. 1 – x = 4 22. 16 = 3 – a 23. 18 = 5 – g 24. 3 – h = – 26 25. 25 = 18 – k 26. 4 = – p – 6 27. 45 – m = 15 28. 34 – r = 34 29. 52 = 81 – z 30. 61 = – y – 4 31. 36x = 72 32. 10y = – 10 33. 3c = – 21 34. – 8a = 32 35. 36. 37. 38. 39. 0 = – 4 k 40. – 7 = – 7p 41. 42. 43. – 11f = – 88 44. – 27p = – 81 45. 46. 5x – 1 = 26 4y – 2 = 14 2z + 4 = 8 6 + 2a = 10 9z – 5 = 4 4y – 7 = 21 6 = – 4x – 2 4 – 3y = 13 – 4 = – 8 – 2z – 7 = 3 + 5a – 6x + 25 = – 11 18 = 2c + 10 17 – 3y = – 10 8n – 14 = – 22 – x + 3 = – 4 5 – m = 12 – 6 – z = – 2 – 4 = 6 – 2x 32 = 7x + 8 – 5x 6y + 8 – 5y = – 11 – 3 = 8z + 8 – 9z 5 = 5x – 7x + 25 3y + 7 – 5y = – 9 – 7 = 3p – 9 – 7p Solve the following equations. Show all work for each.