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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 627 · 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 7x + 25 = 74, what is x? (a) 6 (b) 49 (c) 8 (d) 7
  2. 2.If x/4 + 12 = 17, what is x? (a) 56 (b) 20 (c) 5 (d) 116
  3. 3.If x/3 + 8 = 19, what is x? (a) 81 (b) 11 (c) 49 (d) 33
  4. 4.If 6x + 4 = 34, what is x? (a) 6 (b) 30 (c) 5 (d) 4
  5. 5.If 8x + 6 = 110, what is x? (a) 104 (b) 12 (c) 14 (d) 13
  6. 6.If 2x + 28 = 52, what is x? (a) 40 (b) 24 (c) 13 (d) 12
  7. 7.If 3x + 15 = x + 25, what is x? (a) 6 (b) 20 (c) 7 (d) 5
  8. 8.If 5x + 17 = 57, what is x? (a) 40 (b) 7 (c) 9 (d) 8
  9. 9.If 6x − 10 = 8, what is x? (a) 3 (b) 18 (c) 4 (d) 2
  10. 10.If 2x + 4 = 10, what is x? (a) 6 (b) 7 (c) 3 (d) 4
  11. 11.If 4x − 2 = 10, what is x? (a) 3 (b) 12 (c) 2 (d) 4
  12. 12.If 8x + 11 = 2x + 65, what is x? (a) 8 (b) 10 (c) 9 (d) 11
  13. 13.If x/2 + 11 = 20, what is x? (a) 62 (b) 9 (c) 29 (d) 18
  14. 14.If 5x + 23 = 53, what is x? (a) 5 (b) 6 (c) 7 (d) 30
  15. 15.If 3x + 10 = x + 28, what is x? (a) 11 (b) 10 (c) 9 (d) 19
  16. 16.If x/6 + 1 = 13, what is x? (a) 12 (b) 84 (c) 77 (d) 72
  17. 17.If 2x − 4 = 6, what is x? (a) 10 (b) 1 (c) 6 (d) 5
  18. 18.If 7x + 7 = 5x + 21, what is x? (a) 7 (b) 14 (c) 8 (d) 9
  19. 19.If 3x + 22 = 58, what is x? (a) 13 (b) 11 (c) 12 (d) 36
  20. 20.If x/4 + 11 = 17, what is x? (a) 57 (b) 112 (c) 24 (d) 6
  21. 21.If 2x + 11 = 39, what is x? (a) 25 (b) 28 (c) 14 (d) 15
  22. 22.If x/4 + 9 = 21, what is x? (a) 75 (b) 120 (c) 48 (d) 12
  23. 23.If x/6 + 5 = 8, what is x? (a) 78 (b) 18 (c) 3 (d) 43
  24. 24.If 3x + 7 = 2x + 10, what is x? (a) 4 (b) 5 (c) 17 (d) 3
  25. 25.If 9x + 25 = 124, what is x? (a) 11 (b) 12 (c) 10 (d) 99
  26. 26.If x/5 + 14 = 16, what is x? (a) 66 (b) 2 (c) 10 (d) 150
  27. 27.If 2x + 24 = 28, what is x? (a) 26 (b) 3 (c) 4 (d) 2
  28. 28.If 7x + 2 = x + 14, what is x? (a) 4 (b) 3 (c) 1 (d) 2
  29. 29.If 4x + 4 = 12, what is x? (a) 8 (b) 2 (c) 4 (d) 3
  30. 30.If x/3 + 2 = 5, what is x? (a) 9 (b) 13 (c) 3 (d) 21
  31. 31.If 7x + 24 = 52, what is x? (a) 4 (b) 5 (c) 3 (d) 28
  32. 32.If 8x − 1 = 15, what is x? (a) 3 (b) 1 (c) 16 (d) 2
  33. 33.If 3x + 4 = x + 8, what is x? (a) 6 (b) 2 (c) 3 (d) 1
  34. 34.If 8x + 21 = 61, what is x? (a) 40 (b) 4 (c) 5 (d) 6
  35. 35.If 8x − 51 = 53, what is x? (a) 104 (b) 14 (c) 13 (d) 12
  36. 36.If 2x − 2 = 4, what is x? (a) 4 (b) 1 (c) 3 (d) 6
  37. 37.If 9x − 119 = 16, what is x? (a) 14 (b) 16 (c) 15 (d) 135
  38. 38.If x/5 + 11 = 18, what is x? (a) 35 (b) 79 (c) 145 (d) 7
  39. 39.If 7x + 6 = 4x + 33, what is x? (a) 13 (b) 10 (c) 11 (d) 9
  40. 40.If 6x + 9 = x + 69, what is x? (a) 11 (b) 14 (c) 12 (d) 13

Answer key

  1. 7
  2. 20
  3. 33
  4. 5
  5. 13
  6. 12
  7. 5
  8. 8
  9. 3
  10. 3
  11. 3
  12. 9
  13. 18
  14. 6
  15. 9
  16. 72
  17. 5
  18. 7
  19. 12
  20. 24
  21. 14
  22. 48
  23. 18
  24. 3
  25. 11
  26. 10
  27. 2
  28. 2
  29. 2
  30. 9
  31. 4
  32. 2
  33. 2
  34. 5
  35. 13
  36. 3
  37. 15
  38. 35
  39. 9
  40. 12

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