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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 328 · 40 questions
TalentJR

How to solve it (Balance): Bring the x terms to one side and the plain numbers to the other (change the sign when you move a term across). Divide both sides by the number in front of x (or multiply if x is divided). Check by putting your answer back into the equation.

NameDateTime takenScore ___ / 40
  1. 1.If x/5 + 7 = 17, what is x? (a) 50 (b) 120 (c) 10 (d) 78
  2. 2.If 7x − 103 = 2, what is x? (a) 105 (b) 14 (c) 16 (d) 15
  3. 3.If 7x + 20 = 5x + 42, what is x? (a) 13 (b) 12 (c) 11 (d) 31
  4. 4.If 3x − 5 = 34, what is x? (a) 12 (b) 39 (c) 13 (d) 14
  5. 5.If x/2 + 5 = 12, what is x? (a) 7 (b) 19 (c) 14 (d) 34
  6. 6.If x/2 + 6 = 10, what is x? (a) 32 (b) 4 (c) 14 (d) 8
  7. 7.If 4x + 5 = 2x + 19, what is x? (a) 9 (b) 7 (c) 12 (d) 8
  8. 8.If 8x + 3 = 99, what is x? (a) 12 (b) 13 (c) 11 (d) 96
  9. 9.If 7x − 49 = 14, what is x? (a) 9 (b) 63 (c) 8 (d) 10
  10. 10.If 7x + 10 = 31, what is x? (a) 3 (b) 2 (c) 21 (d) 4
  11. 11.If 3x + 17 = 2x + 22, what is x? (a) 1 (b) 5 (c) 6 (d) 39
  12. 12.If 6x + 20 = 38, what is x? (a) 2 (b) 3 (c) 4 (d) 18
  13. 13.If 4x + 3 = 2x + 5, what is x? (a) 1 (b) 4 (c) 2 (d) 3
  14. 14.If 3x + 16 = x + 24, what is x? (a) 5 (b) 2 (c) 4 (d) 20
  15. 15.If 8x + 25 = 97, what is x? (a) 8 (b) 72 (c) 10 (d) 9
  16. 16.If 9x − 57 = 6, what is x? (a) 6 (b) 7 (c) 63 (d) 8
  17. 17.If 2x + 8 = 16, what is x? (a) 12 (b) 8 (c) 5 (d) 4
  18. 18.If x/5 + 14 = 17, what is x? (a) 155 (b) 3 (c) 15 (d) 71
  19. 19.If 6x + 2 = 26, what is x? (a) 4 (b) 5 (c) 24 (d) 3
  20. 20.If 5x + 19 = 3x + 21, what is x? (a) 20 (b) 2 (c) 3 (d) 1
  21. 21.If 6x + 13 = x + 53, what is x? (a) 10 (b) 8 (c) 7 (d) 9
  22. 22.If x/4 + 13 = 19, what is x? (a) 24 (b) 128 (c) 6 (d) 63
  23. 23.If 3x + 20 = x + 42, what is x? (a) 12 (b) 13 (c) 11 (d) 31
  24. 24.If x/4 + 7 = 17, what is x? (a) 40 (b) 61 (c) 96 (d) 10
  25. 25.If 9x − 6 = 84, what is x? (a) 90 (b) 9 (c) 11 (d) 10
  26. 26.If 9x + 16 = 5x + 56, what is x? (a) 12 (b) 18 (c) 10 (d) 11
  27. 27.If x/6 + 11 = 23, what is x? (a) 12 (b) 127 (c) 204 (d) 72
  28. 28.If 3x + 8 = 41, what is x? (a) 11 (b) 33 (c) 10 (d) 12
  29. 29.If x/5 + 10 = 16, what is x? (a) 70 (b) 6 (c) 30 (d) 130
  30. 30.If 3x − 35 = 7, what is x? (a) 42 (b) 14 (c) 13 (d) 15
  31. 31.If 6x − 45 = 3, what is x? (a) 9 (b) 48 (c) 7 (d) 8
  32. 32.If 6x + 28 = 106, what is x? (a) 78 (b) 14 (c) 12 (d) 13
  33. 33.If 8x + 16 = x + 30, what is x? (a) 4 (b) 3 (c) 1 (d) 2
  34. 34.If x/3 + 7 = 11, what is x? (a) 54 (b) 4 (c) 12 (d) 26
  35. 35.If 5x − 1 = 64, what is x? (a) 12 (b) 65 (c) 14 (d) 13
  36. 36.If 7x + 12 = 4x + 45, what is x? (a) 11 (b) 19 (c) 3 (d) 12
  37. 37.If x/2 + 4 = 6, what is x? (a) 2 (b) 4 (c) 8 (d) 20
  38. 38.If 6x − 11 = 73, what is x? (a) 14 (b) 15 (c) 84 (d) 13
  39. 39.If 6x − 14 = 40, what is x? (a) 54 (b) 9 (c) 8 (d) 10
  40. 40.If 9x + 1 = 109, what is x? (a) 108 (b) 11 (c) 12 (d) 13

Answer key

  1. 50
  2. 15
  3. 11
  4. 13
  5. 14
  6. 8
  7. 7
  8. 12
  9. 9
  10. 3
  11. 5
  12. 3
  13. 1
  14. 4
  15. 9
  16. 7
  17. 4
  18. 15
  19. 4
  20. 1
  21. 8
  22. 24
  23. 11
  24. 40
  25. 10
  26. 10
  27. 72
  28. 11
  29. 30
  30. 14
  31. 8
  32. 13
  33. 2
  34. 12
  35. 13
  36. 11
  37. 4
  38. 14
  39. 9
  40. 12

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