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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 298 · 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 + 4 = 10, what is x? (a) 6 (b) 70 (c) 30 (d) 46
  2. 2.If x/6 + 2 = 7, what is x? (a) 5 (b) 54 (c) 30 (d) 40
  3. 3.If 4x − 34 = 6, what is x? (a) 10 (b) 40 (c) 11 (d) 9
  4. 4.If x/6 + 3 = 8, what is x? (a) 5 (b) 45 (c) 66 (d) 30
  5. 5.If x/2 + 5 = 9, what is x? (a) 4 (b) 28 (c) 13 (d) 8
  6. 6.If 9x − 15 = 21, what is x? (a) 5 (b) 3 (c) 36 (d) 4
  7. 7.If 2x + 7 = 25, what is x? (a) 9 (b) 16 (c) 18 (d) 10
  8. 8.If x/3 + 10 = 22, what is x? (a) 96 (b) 56 (c) 12 (d) 36
  9. 9.If 7x + 19 = 3x + 63, what is x? (a) 13 (b) 10 (c) 11 (d) 12
  10. 10.If 9x − 51 = 21, what is x? (a) 72 (b) 8 (c) 9 (d) 7
  11. 11.If 5x + 5 = 70, what is x? (a) 14 (b) 15 (c) 65 (d) 13
  12. 12.If x/5 + 9 = 11, what is x? (a) 10 (b) 46 (c) 2 (d) 100
  13. 13.If 9x − 9 = 18, what is x? (a) 27 (b) 3 (c) 1 (d) 4
  14. 14.If x/6 + 4 = 7, what is x? (a) 3 (b) 38 (c) 18 (d) 66
  15. 15.If 5x + 11 = x + 15, what is x? (a) 1 (b) 2 (c) 3 (d) 4
  16. 16.If 4x − 37 = 7, what is x? (a) 44 (b) 11 (c) 12 (d) 10
  17. 17.If 6x + 19 = 67, what is x? (a) 7 (b) 8 (c) 48 (d) 9
  18. 18.If 5x + 7 = 57, what is x? (a) 9 (b) 11 (c) 50 (d) 10
  19. 19.If x/5 + 14 = 17, what is x? (a) 3 (b) 15 (c) 71 (d) 155
  20. 20.If 7x + 7 = 5x + 25, what is x? (a) 10 (b) 16 (c) 9 (d) 11
  21. 21.If 6x + 8 = 32, what is x? (a) 24 (b) 5 (c) 4 (d) 3
  22. 22.If 7x − 38 = 67, what is x? (a) 15 (b) 16 (c) 105 (d) 14
  23. 23.If 8x − 5 = 11, what is x? (a) 1 (b) 16 (c) 3 (d) 2
  24. 24.If 7x + 10 = 24, what is x? (a) 3 (b) 1 (c) 2 (d) 14
  25. 25.If 9x + 13 = 148, what is x? (a) 16 (b) 14 (c) 15 (d) 135
  26. 26.If 6x + 27 = 93, what is x? (a) 11 (b) 20 (c) 12 (d) 66
  27. 27.If 4x + 4 = 2x + 20, what is x? (a) 10 (b) 12 (c) 8 (d) 9
  28. 28.If 3x + 22 = 67, what is x? (a) 16 (b) 15 (c) 45 (d) 14
  29. 29.If 5x + 29 = 64, what is x? (a) 35 (b) 7 (c) 8 (d) 6
  30. 30.If 8x + 3 = 59, what is x? (a) 6 (b) 56 (c) 8 (d) 7
  31. 31.If 3x − 9 = 30, what is x? (a) 39 (b) 13 (c) 14 (d) 7
  32. 32.If 8x + 4 = 28, what is x? (a) 24 (b) 2 (c) 3 (d) 4
  33. 33.If 9x + 5 = 6x + 11, what is x? (a) 3 (b) 4 (c) 1 (d) 2
  34. 34.If 9x + 17 = 134, what is x? (a) 14 (b) 13 (c) 117 (d) 12
  35. 35.If 5x − 14 = 11, what is x? (a) 5 (b) 6 (c) 4 (d) 25
  36. 36.If 5x + 2 = 37, what is x? (a) 7 (b) 6 (c) 8 (d) 35
  37. 37.If 6x − 23 = 31, what is x? (a) 8 (b) 9 (c) 54 (d) 10
  38. 38.If 4x − 13 = 7, what is x? (a) 5 (b) 20 (c) 6 (d) 4
  39. 39.If x/6 + 11 = 14, what is x? (a) 73 (b) 3 (c) 150 (d) 18
  40. 40.If 7x + 6 = 55, what is x? (a) 8 (b) 49 (c) 6 (d) 7

Answer key

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

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