1 of 12 2/23/2009 4:28 PM Name Mixed Review Write an equation for each problem. Then solve the equation. 1. The difference between 70 and a number is 2. A number minus 13 is 1. 66. 3. A number multiplied by 3 is 18. 4. A number plus 45 is 100. Key #1 Date (Answer ID # 1032013) 5. 24 divided by a number is 3. 6. Twelve times a number is 120. Complete by evaluating each expression 7. (98 n - 1) for n=7 8. 6 + 5 + n for n=24 9. (n - 2 5) for n=73 10. 58 + n - 4 for n=22 11. n + 31 11 for n=7 12. 78 n - 1 for n=18 13. 42 = 52 - g 14. 40 = x - 10 15. q - 54 = 43 16. 68 - z = 62 17. 52 = 84 - h 18. y - 57 = 5 19. 3 = u - 35 20. 53 - e = 35 21. 72 = c - 16
2 of 12 2/23/2009 4:28 PM Simplify. 22. 64 + 5 + 1 42 23. 81 + 3-30 + 4 24. 5 43 4 Key #1 25. 61 2-4 26. 6 1 + 39-45 27. 90 2 + 42 1 28. (94 2-36) = 11 29. 8 44 + 4 11 = 367 30. (80 2) (42 + 40) = 6,396 31. (5-4) 14 7 = 2 32. Rule: w = j + 24 Input j 2 13 28 29 33 w 33. Rule: f = k 9 Input k 0 9 18 27 36 45 f Express each phrase as an algebraic expression. 34. product of a number p and 13 35. quotient of a number t and 16 36. a number a times 17 37. a number s multiplied by 4 38. difference of a number b and 33 39. 26 less than a number m
3 of 12 2/23/2009 4:28 PM 40. 48 6 33 = 41 41. 70 5 + 54 = 404 Key #1 42. 5 + 52 4 = 18 43. 5 4 1 = 19 44. 84 + n = 145 45. 117 = 23 + f 46. d + 42 = 91 47. 33 = s + 27 48. x + 3 = 13 49. 85 + j = 106 50. 121 = 82 + a 51. 106 = w + 48 52. 165 = 80 + h 53. Rule: u = t - 45 Input t 51 56 61 66 71 76 u 54. Rule: g = 5p Input p 3 4 5 6 7 8 9 g
4 of 12 2/23/2009 4:28 PM Key #2 Name Date (Answer ID # 0400090) Mixed Review Write an equation for each problem. Then solve the equation. 1. A number divided by 10 is 12. 2. The difference between 77 and a number is 34. 3. 24 divided by a number is 8. 4. A number plus 94 is 182. 5. Eleven times a number is 77. 6. 45 plus a number is 130. Complete by evaluating each expression 7. 6 (4 + n) 8. n 51-3 for n=47 for n=65 9. (n - 4) + 11 for n=82 10. n 9 5 for n=90 11. 84 + 4 n for n=20 12. (55 - n) + 39 for n=1 13. c - 83 = 11 14. 45 - k = 37 15. 53 = 86 - y 16. 72 = v - 17 17. 30 - q = 17 18. 8 = b - 60 19. 43 = m - 21 20. 41 - z = 23 21. r - 46 = 29
5 of 12 2/23/2009 4:28 PM Simplify. 22. 64 4 35 23. 7 + 50-3 24. 77 7-4 Key #2 25. 8 + 72 9 26. 69 + 37 21 27. 48 2-5 28. 7 + 18 (35 7) = 20 29. (5 48) 1 - (2 + 39) = 199 30. 30 6 3 = 8 31. 5 (3 38) - 2 = 568 32. Rule: t = 45 t Input y 3 1 9 45 5 15 t 33. Rule: s = f 9 Input f 9 18 27 36 45 s Express each phrase as an algebraic expression. 34. a number z increased by 8 35. sum of 49 and a number w 36. a number j decreased by 31 37. a number q minus 42 38. a number k times 24 39. a number p less than 41
6 of 12 2/23/2009 4:28 PM 40. 12 2 2 = 12 41. 48 3 46 = 736 Key #2 42. 66 2 5 41 = 337 43. 78 6 3 = 39 44. h + 35 = 108 45. 57 + x = 118 46. 61 = 33 + g 47. 107 = d + 89 48. 74 = m + 36 49. a + 41 = 90 50. 92 + e = 138 51. 101 = 97 + v 52. 78 + c = 119 53. Rule: e = m + 8 Input m 1 2 3 4 5 6 7 e 54. Rule: y = z 4 Input z 0 4 8 12 16 y
7 of 12 2/23/2009 4:28 PM Answer Key 1032013 Key #1 Write an equation for each problem. Then solve the equation. 1. The difference between 70 and a number is 66. 70 - n = 66 n = 4 3. A number multiplied by 3 is 18. 3n = 18 n = 6 5. 24 divided by a number is 3. 24 n = 3 n = 8 2. A number minus 13 is 1. n - 13 = 1 n = 14 4. A number plus 45 is 100. n + 45 = 100 n = 55 6. Twelve times a number is 120. 12n = 120 n = 10 Complete by evaluating each expression 7. (98 n - 1) 13 8. 6 + 5 + n for n=7 for n=24 35 9. (n - 2 5) for n=73 63 10. 58 + n - 4 for n=22 76 11. n + 31 11 for n=7 348 12. 78 n - 1 for n=18 1,403 13. 42 = 52 - g g = 10 16. 68 - z = 62 z = 6 19. 3 = u - 35 u = 38 14. 40 = x - 10 x = 50 17. 52 = 84 - h h = 32 20. 53 - e = 35 e = 18 15. q - 54 = 43 q = 97 18. y - 57 = 5 y = 62 21. 72 = c - 16 c = 88
8 of 12 2/23/2009 4:28 PM Answer Key 1032013 Key #1 Simplify. 22. 64 + 5 + 1 42 111 23. 81 + 3-30 + 4 58 24. 5 43 4 860 25. 61 2-4 118 26. 6 1 + 39-45 0 27. 90 2 + 42 1 222 28. (94 2-36) = 11 29. 8 44 + 4 + 11 = 367 30. (80-2) (42 + 40) = 6,396 31. (5-4) 14 7 = 2 32. Rule: w = j + 24 Input j 2 13 28 29 33 w 26 37 52 53 57 33. Rule: f = k 9 Input k 0 9 18 27 36 45 f 0 1 2 3 4 5 Express each phrase as an algebraic expression. 34. product of a number p and 13 35. quotient of a number t and 16 13p t 16 36. a number a times 17 17a 38. difference of a number b and 33 b - 33 37. a number s multiplied by 4 4s 39. 26 less than a number m m - 26
9 of 12 2/23/2009 4:28 PM Answer Key 1032013 Key #1 40. 48 6 + 33 = 41 41. 70 5 + 54 = 404 42. 5 + 52 4 = 18 43. 5 4-1 = 19 44. 84 + n = 145 n = 61 47. 33 = s + 27 s = 6 50. 121 = 82 + a a = 39 45. 117 = 23 + f f = 94 48. x + 3 = 13 x = 10 51. 106 = w + 48 w = 58 46. d + 42 = 91 d = 49 49. 85 + j = 106 j = 21 52. 165 = 80 + h h = 85 53. Rule: u = t - 45 Input t 51 56 61 66 71 76 u 6 11 16 21 26 31 54. Rule: g = 5p Input p 3 4 5 6 7 8 9 g 15 20 25 30 35 40 45
10 of 12 2/23/2009 4:28 PM Answer Key 0400090 Key #2 Write an equation for each problem. Then solve the equation. 1. A number divided by 10 is 12. n 10 = 12 n = 120 3. 24 divided by a number is 8. 24 n = 8 n = 3 5. Eleven times a number is 77. 11n = 77 n = 7 2. The difference between 77 and a number is 34. 77 - n = 34 n = 43 4. A number plus 94 is 182. n + 94 = 182 n = 88 6. 45 plus a number is 130. 45 + n = 130 n = 85 Complete by evaluating each expression 7. 6 (4 + n) 8. n 51-3 306 for n=47 for n=65 3,312 9. (n - 4) + 11 for n=82 89 10. n 9 5 for n=90 50 11. 84 + 4 n for n=20 164 12. (55 - n) + 39 for n=1 93 13. c - 83 = 11 c = 94 16. 72 = v - 17 v = 89 19. 43 = m - 21 m = 64 14. 45 - k = 37 k = 8 17. 30 - q = 17 q = 13 20. 41 - z = 23 z = 18 15. 53 = 86 - y y = 33 18. 8 = b - 60 b = 68 21. r - 46 = 29 r = 75
11 of 12 2/23/2009 4:28 PM Answer Key 0400090 Key #2 Simplify. 22. 64 4 35 560 23. 7 + 50-3 54 24. 77 7-4 7 25. 8 + 72 9 16 26. 69 + 37 21 846 27. 48 2-5 19 28. 7 + 18 - (35 7) = 20 29. (5 48) 1 - (2 + 39) = 199 30. 30 6 + 3 = 8 31. 5 (3 38) - 2 = 568 32. Rule: t = 45 t Input y 3 1 9 45 5 15 t 15 45 5 1 9 3 33. Rule: s = f 9 Input f 9 18 27 36 45 s 1 2 3 4 5 Express each phrase as an algebraic expression. 34. a number z increased by 8 35. sum of 49 and a number w z + 8 49 + w 36. a number j decreased by 31 j - 31 38. a number k times 24 24k 37. a number q minus 42 q - 42 39. a number p less than 41 41 - p
12 of 12 2/23/2009 4:28 PM Answer Key 0400090 Key #2 40. 12 2 2 = 12 41. 48 3 46 = 736 42. 66 2 + 5 41 = 337 43. 78 6 3 = 39 44. h + 35 = 108 h = 73 47. 107 = d + 89 d = 18 50. 92 + e = 138 e = 46 45. 57 + x = 118 x = 61 48. 74 = m + 36 m = 38 51. 101 = 97 + v v = 4 46. 61 = 33 + g g = 28 49. a + 41 = 90 a = 49 52. 78 + c = 119 c = 41 53. Rule: e = m + 8 Input m 1 2 3 4 5 6 7 e 9 10 11 12 13 14 15 54. Rule: y = z 4 Input z 0 4 8 12 16 y 0 1 2 3 4