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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 398 · 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/6 + 8 = 17, what is x? (a) 94 (b) 9 (c) 150 (d) 54
  2. 2.If 3x + 20 = x + 22, what is x? (a) 2 (b) 21 (c) 1 (d) 3
  3. 3.If x/5 + 10 = 16, what is x? (a) 130 (b) 70 (c) 30 (d) 6
  4. 4.If 4x + 6 = x + 42, what is x? (a) 13 (b) 14 (c) 16 (d) 12
  5. 5.If 2x − 4 = 26, what is x? (a) 11 (b) 16 (c) 15 (d) 30
  6. 6.If 3x + 3 = x + 17, what is x? (a) 9 (b) 7 (c) 8 (d) 10
  7. 7.If 4x − 9 = 7, what is x? (a) 16 (b) 3 (c) 4 (d) 5
  8. 8.If 3x + 1 = 2x + 3, what is x? (a) 1 (b) 2 (c) 4 (d) 3
  9. 9.If 5x + 3 = 28, what is x? (a) 25 (b) 4 (c) 6 (d) 5
  10. 10.If 8x − 21 = 67, what is x? (a) 12 (b) 10 (c) 11 (d) 88
  11. 11.If x/3 + 12 = 16, what is x? (a) 12 (b) 36 (c) 84 (d) 4
  12. 12.If 7x − 31 = 60, what is x? (a) 14 (b) 13 (c) 91 (d) 12
  13. 13.If 7x + 5 = 3x + 37, what is x? (a) 7 (b) 8 (c) 9 (d) 10
  14. 14.If 6x + 16 = 40, what is x? (a) 24 (b) 4 (c) 5 (d) 3
  15. 15.If 3x + 4 = x + 12, what is x? (a) 2 (b) 5 (c) 4 (d) 8
  16. 16.If 2x + 3 = 13, what is x? (a) 8 (b) 6 (c) 10 (d) 5
  17. 17.If x/4 + 11 = 22, what is x? (a) 77 (b) 11 (c) 44 (d) 132
  18. 18.If 9x − 51 = 12, what is x? (a) 8 (b) 6 (c) 7 (d) 63
  19. 19.If x/2 + 9 = 12, what is x? (a) 6 (b) 42 (c) 15 (d) 3
  20. 20.If x/5 + 10 = 17, what is x? (a) 75 (b) 35 (c) 135 (d) 7
  21. 21.If 9x + 1 = 5x + 13, what is x? (a) 2 (b) 3 (c) 5 (d) 4
  22. 22.If x/5 + 12 = 20, what is x? (a) 8 (b) 40 (c) 160 (d) 88
  23. 23.If 2x − 9 = 5, what is x? (a) 8 (b) 7 (c) 6 (d) 14
  24. 24.If 9x − 43 = 29, what is x? (a) 7 (b) 72 (c) 8 (d) 9
  25. 25.If 5x + 20 = 2x + 44, what is x? (a) 7 (b) 9 (c) 8 (d) 10
  26. 26.If 4x + 3 = 15, what is x? (a) 4 (b) 12 (c) 3 (d) 2
  27. 27.If 3x + 22 = 28, what is x? (a) 1 (b) 6 (c) 3 (d) 2
  28. 28.If x/2 + 5 = 13, what is x? (a) 16 (b) 36 (c) 21 (d) 8
  29. 29.If x/5 + 8 = 12, what is x? (a) 100 (b) 4 (c) 52 (d) 20
  30. 30.If 7x + 2 = 65, what is x? (a) 10 (b) 63 (c) 9 (d) 8
  31. 31.If 2x − 4 = 2, what is x? (a) 3 (b) 2 (c) 4 (d) 6
  32. 32.If 7x − 32 = 31, what is x? (a) 63 (b) 9 (c) 8 (d) 10
  33. 33.If 2x + 28 = 42, what is x? (a) 14 (b) 8 (c) 7 (d) 35
  34. 34.If x/4 + 1 = 9, what is x? (a) 8 (b) 40 (c) 35 (d) 32
  35. 35.If 4x + 4 = 40, what is x? (a) 10 (b) 9 (c) 36 (d) 11
  36. 36.If 6x − 6 = 48, what is x? (a) 10 (b) 7 (c) 9 (d) 54
  37. 37.If 9x + 28 = 154, what is x? (a) 14 (b) 126 (c) 13 (d) 15
  38. 38.If 6x + 11 = 89, what is x? (a) 14 (b) 78 (c) 12 (d) 13
  39. 39.If 3x + 4 = x + 10, what is x? (a) 3 (b) 7 (c) 5 (d) 4
  40. 40.If 2x − 1 = 3, what is x? (a) 4 (b) 2 (c) 1 (d) 3

Answer key

  1. 54
  2. 1
  3. 30
  4. 12
  5. 15
  6. 7
  7. 4
  8. 2
  9. 5
  10. 11
  11. 12
  12. 13
  13. 8
  14. 4
  15. 4
  16. 5
  17. 44
  18. 7
  19. 6
  20. 35
  21. 3
  22. 40
  23. 7
  24. 8
  25. 8
  26. 3
  27. 2
  28. 16
  29. 20
  30. 9
  31. 3
  32. 9
  33. 7
  34. 32
  35. 9
  36. 9
  37. 14
  38. 13
  39. 3
  40. 2

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