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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 137 · 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 2x − 3 = 15, what is x? (a) 6 (b) 9 (c) 10 (d) 18
  2. 2.If 4x + 19 = x + 22, what is x? (a) 3 (b) 4 (c) 1 (d) 2
  3. 3.If x/5 + 4 = 15, what is x? (a) 11 (b) 95 (c) 71 (d) 55
  4. 4.If 7x − 24 = 4, what is x? (a) 5 (b) 28 (c) 3 (d) 4
  5. 5.If 2x + 23 = 29, what is x? (a) 4 (b) 3 (c) 6 (d) 26
  6. 6.If 8x + 5 = 5x + 41, what is x? (a) 11 (b) 14 (c) 12 (d) 13
  7. 7.If 5x + 15 = 75, what is x? (a) 60 (b) 13 (c) 18 (d) 12
  8. 8.If 7x + 23 = 114, what is x? (a) 14 (b) 91 (c) 13 (d) 12
  9. 9.If 4x + 13 = 3x + 21, what is x? (a) 9 (b) 8 (c) 34 (d) 10
  10. 10.If x/5 + 12 = 19, what is x? (a) 7 (b) 155 (c) 35 (d) 83
  11. 11.If 5x + 5 = 30, what is x? (a) 5 (b) 25 (c) 7 (d) 6
  12. 12.If 2x + 22 = 32, what is x? (a) 27 (b) 6 (c) 10 (d) 5
  13. 13.If x/5 + 15 = 21, what is x? (a) 90 (b) 180 (c) 6 (d) 30
  14. 14.If 4x + 9 = x + 27, what is x? (a) 8 (b) 7 (c) 6 (d) 12
  15. 15.If 5x + 8 = 83, what is x? (a) 75 (b) 14 (c) 16 (d) 15
  16. 16.If 4x + 21 = 33, what is x? (a) 4 (b) 12 (c) 3 (d) 2
  17. 17.If x/5 + 8 = 10, what is x? (a) 90 (b) 2 (c) 42 (d) 10
  18. 18.If 3x + 11 = 2x + 20, what is x? (a) 31 (b) 10 (c) 11 (d) 9
  19. 19.If 8x − 14 = 26, what is x? (a) 4 (b) 40 (c) 5 (d) 6
  20. 20.If x/4 + 15 = 19, what is x? (a) 136 (b) 16 (c) 4 (d) 61
  21. 21.If x/2 + 7 = 19, what is x? (a) 52 (b) 31 (c) 24 (d) 12
  22. 22.If 9x − 20 = 25, what is x? (a) 6 (b) 5 (c) 45 (d) 4
  23. 23.If x/6 + 15 = 26, what is x? (a) 66 (b) 141 (c) 246 (d) 11
  24. 24.If 4x + 19 = 2x + 23, what is x? (a) 3 (b) 21 (c) 4 (d) 2
  25. 25.If 7x + 1 = 99, what is x? (a) 98 (b) 15 (c) 14 (d) 13
  26. 26.If 9x − 51 = 48, what is x? (a) 11 (b) 10 (c) 12 (d) 99
  27. 27.If x/2 + 14 = 18, what is x? (a) 8 (b) 4 (c) 64 (d) 22
  28. 28.If 7x + 11 = 32, what is x? (a) 3 (b) 21 (c) 4 (d) 2
  29. 29.If x/2 + 3 = 10, what is x? (a) 14 (b) 7 (c) 26 (d) 17
  30. 30.If x/2 + 8 = 11, what is x? (a) 3 (b) 14 (c) 6 (d) 38
  31. 31.If 2x + 16 = 20, what is x? (a) 2 (b) 18 (c) 4 (d) 3
  32. 32.If 4x + 19 = x + 34, what is x? (a) 3 (b) 7 (c) 5 (d) 6
  33. 33.If 4x − 9 = 3, what is x? (a) 3 (b) 4 (c) 2 (d) 12
  34. 34.If 5x − 7 = 13, what is x? (a) 5 (b) 3 (c) 4 (d) 20
  35. 35.If 6x + 18 = 4x + 36, what is x? (a) 27 (b) 9 (c) 11 (d) 10
  36. 36.If x/3 + 12 = 19, what is x? (a) 93 (b) 45 (c) 21 (d) 7
  37. 37.If 3x − 4 = 14, what is x? (a) 7 (b) 5 (c) 18 (d) 6
  38. 38.If 8x + 21 = 69, what is x? (a) 7 (b) 48 (c) 6 (d) 5
  39. 39.If 5x + 14 = 84, what is x? (a) 70 (b) 15 (c) 14 (d) 13
  40. 40.If 9x + 4 = 58, what is x? (a) 6 (b) 5 (c) 7 (d) 54

Answer key

  1. 9
  2. 1
  3. 55
  4. 4
  5. 3
  6. 12
  7. 12
  8. 13
  9. 8
  10. 35
  11. 5
  12. 5
  13. 30
  14. 6
  15. 15
  16. 3
  17. 10
  18. 9
  19. 5
  20. 16
  21. 24
  22. 5
  23. 66
  24. 2
  25. 14
  26. 11
  27. 8
  28. 3
  29. 14
  30. 6
  31. 2
  32. 5
  33. 3
  34. 4
  35. 9
  36. 21
  37. 6
  38. 6
  39. 14
  40. 6

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