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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 388 · 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 3x + 14 = 44, what is x? (a) 30 (b) 10 (c) 9 (d) 11
  2. 2.If x/3 + 13 = 21, what is x? (a) 102 (b) 50 (c) 8 (d) 24
  3. 3.If x/6 + 2 = 5, what is x? (a) 28 (b) 42 (c) 18 (d) 3
  4. 4.If x/2 + 5 = 16, what is x? (a) 11 (b) 42 (c) 22 (d) 27
  5. 5.If 9x + 7 = 8x + 9, what is x? (a) 4 (b) 3 (c) 16 (d) 2
  6. 6.If 7x + 3 = 38, what is x? (a) 4 (b) 35 (c) 5 (d) 6
  7. 7.If 3x − 31 = 8, what is x? (a) 39 (b) 13 (c) 12 (d) 14
  8. 8.If 3x + 1 = 16, what is x? (a) 4 (b) 5 (c) 15 (d) 6
  9. 9.If 7x + 11 = x + 83, what is x? (a) 9 (b) 14 (c) 13 (d) 12
  10. 10.If 3x − 2 = 4, what is x? (a) 2 (b) 1 (c) 3 (d) 6
  11. 11.If 8x + 28 = 148, what is x? (a) 22 (b) 15 (c) 120 (d) 16
  12. 12.If 9x + 20 = 6x + 53, what is x? (a) 12 (b) 10 (c) 11 (d) 13
  13. 13.If 6x + 5 = 2x + 45, what is x? (a) 12 (b) 5 (c) 10 (d) 11
  14. 14.If 3x + 25 = 31, what is x? (a) 6 (b) 1 (c) 3 (d) 2
  15. 15.If 4x + 15 = 3x + 19, what is x? (a) 4 (b) 5 (c) 6 (d) 34
  16. 16.If 7x + 18 = 116, what is x? (a) 13 (b) 14 (c) 15 (d) 98
  17. 17.If 7x + 14 = 35, what is x? (a) 7 (b) 3 (c) 4 (d) 21
  18. 18.If 2x + 22 = 36, what is x? (a) 29 (b) 14 (c) 7 (d) 8
  19. 19.If 3x + 11 = 53, what is x? (a) 14 (b) 15 (c) 13 (d) 42
  20. 20.If 2x + 16 = 26, what is x? (a) 21 (b) 5 (c) 6 (d) 10
  21. 21.If 3x + 6 = x + 22, what is x? (a) 14 (b) 4 (c) 9 (d) 8
  22. 22.If 4x + 5 = 45, what is x? (a) 9 (b) 10 (c) 40 (d) 11
  23. 23.If 3x + 2 = 29, what is x? (a) 8 (b) 27 (c) 9 (d) 10
  24. 24.If 8x + 28 = 116, what is x? (a) 88 (b) 11 (c) 18 (d) 12
  25. 25.If 6x + 5 = 77, what is x? (a) 72 (b) 12 (c) 13 (d) 11
  26. 26.If 3x − 5 = 19, what is x? (a) 7 (b) 8 (c) 24 (d) 9
  27. 27.If 6x − 58 = 26, what is x? (a) 14 (b) 13 (c) 15 (d) 84
  28. 28.If 4x + 10 = 58, what is x? (a) 48 (b) 13 (c) 17 (d) 12
  29. 29.If 4x + 20 = 36, what is x? (a) 4 (b) 5 (c) 16 (d) 14
  30. 30.If 4x + 4 = 48, what is x? (a) 12 (b) 44 (c) 11 (d) 13
  31. 31.If 7x − 46 = 59, what is x? (a) 15 (b) 14 (c) 16 (d) 105
  32. 32.If 3x + 3 = 24, what is x? (a) 8 (b) 7 (c) 9 (d) 21
  33. 33.If 8x + 17 = 5x + 26, what is x? (a) 2 (b) 4 (c) 5 (d) 3
  34. 34.If 6x + 2 = 2x + 10, what is x? (a) 4 (b) 1 (c) 3 (d) 2
  35. 35.If 5x − 12 = 8, what is x? (a) 4 (b) 5 (c) 3 (d) 20
  36. 36.If 4x + 22 = 38, what is x? (a) 5 (b) 4 (c) 16 (d) 15
  37. 37.If 5x − 19 = 46, what is x? (a) 14 (b) 65 (c) 12 (d) 13
  38. 38.If 2x + 11 = 41, what is x? (a) 16 (b) 30 (c) 15 (d) 26
  39. 39.If 6x + 3 = 2x + 43, what is x? (a) 12 (b) 5 (c) 11 (d) 10
  40. 40.If 4x − 51 = 5, what is x? (a) 15 (b) 14 (c) 56 (d) 13

Answer key

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

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