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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 321 · 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/4 + 4 = 10, what is x? (a) 56 (b) 36 (c) 6 (d) 24
  2. 2.If x/2 + 13 = 16, what is x? (a) 19 (b) 3 (c) 58 (d) 6
  3. 3.If 4x + 5 = 2x + 13, what is x? (a) 6 (b) 5 (c) 4 (d) 9
  4. 4.If 9x + 4 = 3x + 58, what is x? (a) 10 (b) 9 (c) 11 (d) 8
  5. 5.If 3x + 18 = x + 36, what is x? (a) 27 (b) 9 (c) 11 (d) 10
  6. 6.If x/4 + 15 = 26, what is x? (a) 89 (b) 11 (c) 164 (d) 44
  7. 7.If 9x − 116 = 10, what is x? (a) 13 (b) 15 (c) 14 (d) 126
  8. 8.If 3x − 3 = 42, what is x? (a) 16 (b) 13 (c) 45 (d) 15
  9. 9.If x/2 + 14 = 23, what is x? (a) 18 (b) 32 (c) 9 (d) 74
  10. 10.If 8x + 12 = 68, what is x? (a) 56 (b) 7 (c) 8 (d) 10
  11. 11.If 8x + 3 = 43, what is x? (a) 40 (b) 6 (c) 4 (d) 5
  12. 12.If 4x − 1 = 19, what is x? (a) 5 (b) 4 (c) 6 (d) 20
  13. 13.If 8x + 2 = 5x + 17, what is x? (a) 4 (b) 5 (c) 7 (d) 6
  14. 14.If 5x − 2 = 28, what is x? (a) 5 (b) 6 (c) 30 (d) 7
  15. 15.If 4x + 15 = 39, what is x? (a) 5 (b) 7 (c) 6 (d) 24
  16. 16.If 6x + 1 = 43, what is x? (a) 7 (b) 8 (c) 6 (d) 42
  17. 17.If 4x + 13 = 2x + 35, what is x? (a) 24 (b) 12 (c) 13 (d) 11
  18. 18.If 8x − 63 = 49, what is x? (a) 13 (b) 112 (c) 15 (d) 14
  19. 19.If x/2 + 2 = 6, what is x? (a) 8 (b) 4 (c) 10 (d) 16
  20. 20.If x/4 + 6 = 8, what is x? (a) 8 (b) 56 (c) 26 (d) 2
  21. 21.If x/2 + 9 = 20, what is x? (a) 22 (b) 58 (c) 11 (d) 31
  22. 22.If 6x + 5 = 47, what is x? (a) 6 (b) 7 (c) 42 (d) 8
  23. 23.If 7x + 15 = 2x + 50, what is x? (a) 8 (b) 9 (c) 7 (d) 13
  24. 24.If 3x − 27 = 15, what is x? (a) 15 (b) 42 (c) 14 (d) 13
  25. 25.If 7x − 18 = 17, what is x? (a) 5 (b) 4 (c) 6 (d) 35
  26. 26.If 7x + 17 = 5x + 31, what is x? (a) 7 (b) 24 (c) 9 (d) 8
  27. 27.If x/4 + 15 = 19, what is x? (a) 61 (b) 16 (c) 136 (d) 4
  28. 28.If 2x + 8 = 28, what is x? (a) 18 (b) 20 (c) 10 (d) 11
  29. 29.If 4x − 13 = 31, what is x? (a) 10 (b) 11 (c) 44 (d) 12
  30. 30.If 8x + 4 = 6x + 28, what is x? (a) 13 (b) 12 (c) 14 (d) 16
  31. 31.If x/3 + 14 = 17, what is x? (a) 9 (b) 3 (c) 93 (d) 37
  32. 32.If x/5 + 12 = 23, what is x? (a) 55 (b) 175 (c) 11 (d) 103
  33. 33.If 5x + 7 = x + 19, what is x? (a) 5 (b) 3 (c) 2 (d) 4
  34. 34.If x/4 + 15 = 25, what is x? (a) 10 (b) 85 (c) 40 (d) 160
  35. 35.If 4x − 5 = 43, what is x? (a) 11 (b) 12 (c) 48 (d) 13
  36. 36.If 8x + 3 = 7x + 8, what is x? (a) 11 (b) 5 (c) 7 (d) 6
  37. 37.If 3x + 11 = x + 13, what is x? (a) 12 (b) 3 (c) 1 (d) 2
  38. 38.If 3x + 7 = 31, what is x? (a) 7 (b) 9 (c) 8 (d) 24
  39. 39.If 7x + 9 = 4x + 36, what is x? (a) 9 (b) 15 (c) 11 (d) 10
  40. 40.If 5x + 11 = 4x + 22, what is x? (a) 11 (b) 33 (c) 12 (d) 13

Answer key

  1. 24
  2. 6
  3. 4
  4. 9
  5. 9
  6. 44
  7. 14
  8. 15
  9. 18
  10. 7
  11. 5
  12. 5
  13. 5
  14. 6
  15. 6
  16. 7
  17. 11
  18. 14
  19. 8
  20. 8
  21. 22
  22. 7
  23. 7
  24. 14
  25. 5
  26. 7
  27. 16
  28. 10
  29. 11
  30. 12
  31. 9
  32. 55
  33. 3
  34. 40
  35. 12
  36. 5
  37. 1
  38. 8
  39. 9
  40. 11

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