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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 527 · 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/2 + 11 = 23, what is x? (a) 35 (b) 68 (c) 12 (d) 24
  2. 2.If 7x + 1 = 57, what is x? (a) 9 (b) 56 (c) 7 (d) 8
  3. 3.If 7x − 13 = 8, what is x? (a) 21 (b) 2 (c) 4 (d) 3
  4. 4.If 6x − 34 = 38, what is x? (a) 12 (b) 11 (c) 13 (d) 72
  5. 5.If 8x + 19 = 7x + 27, what is x? (a) 9 (b) 46 (c) 8 (d) 10
  6. 6.If x/4 + 15 = 18, what is x? (a) 57 (b) 12 (c) 132 (d) 3
  7. 7.If 3x − 33 = 9, what is x? (a) 14 (b) 15 (c) 42 (d) 13
  8. 8.If 4x − 6 = 2, what is x? (a) 3 (b) 8 (c) 1 (d) 2
  9. 9.If 2x + 6 = 34, what is x? (a) 15 (b) 14 (c) 28 (d) 20
  10. 10.If 3x + 5 = 38, what is x? (a) 10 (b) 12 (c) 11 (d) 33
  11. 11.If 4x + 16 = 2x + 22, what is x? (a) 4 (b) 19 (c) 3 (d) 1
  12. 12.If 4x − 21 = 7, what is x? (a) 7 (b) 8 (c) 28 (d) 6
  13. 13.If 6x + 15 = 2x + 43, what is x? (a) 7 (b) 8 (c) 9 (d) 6
  14. 14.If 4x − 13 = 3, what is x? (a) 4 (b) 5 (c) 3 (d) 16
  15. 15.If 4x + 12 = 20, what is x? (a) 1 (b) 8 (c) 3 (d) 2
  16. 16.If 2x − 5 = 13, what is x? (a) 4 (b) 9 (c) 10 (d) 18
  17. 17.If 3x + 6 = x + 10, what is x? (a) 1 (b) 2 (c) 8 (d) 3
  18. 18.If 6x + 13 = 37, what is x? (a) 3 (b) 4 (c) 5 (d) 24
  19. 19.If 2x + 10 = 18, what is x? (a) 4 (b) 5 (c) 8 (d) 14
  20. 20.If 6x + 26 = 50, what is x? (a) 4 (b) 5 (c) 3 (d) 24
  21. 21.If 8x + 5 = 6x + 9, what is x? (a) 3 (b) 7 (c) 2 (d) 4
  22. 22.If 9x − 9 = 18, what is x? (a) 27 (b) 4 (c) 1 (d) 3
  23. 23.If 2x − 5 = 5, what is x? (a) 10 (b) 6 (c) 4 (d) 5
  24. 24.If 9x + 6 = 42, what is x? (a) 5 (b) 4 (c) 36 (d) 3
  25. 25.If 8x + 7 = 2x + 49, what is x? (a) 7 (b) 6 (c) 9 (d) 8
  26. 26.If x/2 + 14 = 22, what is x? (a) 16 (b) 30 (c) 8 (d) 72
  27. 27.If 2x − 9 = 19, what is x? (a) 5 (b) 28 (c) 14 (d) 15
  28. 28.If 5x − 4 = 36, what is x? (a) 9 (b) 40 (c) 8 (d) 7
  29. 29.If 7x + 19 = 96, what is x? (a) 12 (b) 10 (c) 11 (d) 77
  30. 30.If 3x + 15 = x + 19, what is x? (a) 17 (b) 2 (c) 1 (d) 3
  31. 31.If 2x + 2 = 20, what is x? (a) 18 (b) 11 (c) 10 (d) 9
  32. 32.If 5x + 28 = 63, what is x? (a) 6 (b) 7 (c) 8 (d) 35
  33. 33.If 7x + 2 = 5x + 10, what is x? (a) 5 (b) 6 (c) 3 (d) 4
  34. 34.If 2x + 12 = 36, what is x? (a) 12 (b) 13 (c) 24 (d) 11
  35. 35.If 2x + 28 = 42, what is x? (a) 14 (b) 35 (c) 8 (d) 7
  36. 36.If 3x + 18 = 42, what is x? (a) 24 (b) 8 (c) 20 (d) 9
  37. 37.If 8x + 2 = 50, what is x? (a) 6 (b) 7 (c) 48 (d) 5
  38. 38.If 6x − 61 = 17, what is x? (a) 78 (b) 14 (c) 13 (d) 12
  39. 39.If 4x + 29 = 61, what is x? (a) 7 (b) 9 (c) 32 (d) 8
  40. 40.If 7x + 25 = 88, what is x? (a) 63 (b) 9 (c) 10 (d) 8

Answer key

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

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