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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 827 · 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 3x + 24 = 42, what is x? (a) 7 (b) 22 (c) 6 (d) 18
  2. 2.If 2x + 21 = 45, what is x? (a) 24 (b) 33 (c) 12 (d) 13
  3. 3.If 8x − 15 = 73, what is x? (a) 88 (b) 12 (c) 10 (d) 11
  4. 4.If 2x + 25 = 39, what is x? (a) 14 (b) 7 (c) 8 (d) 32
  5. 5.If 4x + 4 = 44, what is x? (a) 10 (b) 11 (c) 40 (d) 12
  6. 6.If 4x + 29 = 61, what is x? (a) 32 (b) 8 (c) 9 (d) 7
  7. 7.If 9x + 17 = 71, what is x? (a) 5 (b) 7 (c) 54 (d) 6
  8. 8.If 6x + 10 = 2x + 34, what is x? (a) 3 (b) 11 (c) 7 (d) 6
  9. 9.If 2x + 17 = 43, what is x? (a) 14 (b) 30 (c) 13 (d) 26
  10. 10.If 9x + 23 = 149, what is x? (a) 126 (b) 15 (c) 13 (d) 14
  11. 11.If 8x + 20 = 5x + 26, what is x? (a) 2 (b) 1 (c) 4 (d) 3
  12. 12.If x/3 + 6 = 12, what is x? (a) 30 (b) 6 (c) 18 (d) 54
  13. 13.If 3x + 27 = 63, what is x? (a) 30 (b) 12 (c) 13 (d) 36
  14. 14.If 7x + 1 = 6x + 12, what is x? (a) 11 (b) 13 (c) 10 (d) 12
  15. 15.If 8x + 5 = 53, what is x? (a) 5 (b) 48 (c) 7 (d) 6
  16. 16.If 2x + 26 = 50, what is x? (a) 24 (b) 38 (c) 13 (d) 12
  17. 17.If 2x − 13 = 17, what is x? (a) 16 (b) 30 (c) 15 (d) 2
  18. 18.If 7x + 17 = 87, what is x? (a) 70 (b) 10 (c) 11 (d) 9
  19. 19.If 2x + 30 = 38, what is x? (a) 8 (b) 34 (c) 4 (d) 5
  20. 20.If x/2 + 10 = 22, what is x? (a) 34 (b) 12 (c) 64 (d) 24
  21. 21.If 5x + 6 = 26, what is x? (a) 5 (b) 4 (c) 3 (d) 20
  22. 22.If 3x + 20 = 41, what is x? (a) 8 (b) 7 (c) 6 (d) 21
  23. 23.If 4x + 25 = 85, what is x? (a) 14 (b) 16 (c) 15 (d) 60
  24. 24.If 5x − 4 = 26, what is x? (a) 6 (b) 5 (c) 30 (d) 7
  25. 25.If 4x − 35 = 21, what is x? (a) 15 (b) 14 (c) 13 (d) 56
  26. 26.If 4x − 4 = 8, what is x? (a) 4 (b) 3 (c) 12 (d) 1
  27. 27.If 8x − 55 = 9, what is x? (a) 7 (b) 9 (c) 8 (d) 64
  28. 28.If 9x + 27 = 63, what is x? (a) 5 (b) 10 (c) 36 (d) 4
  29. 29.If 9x − 28 = 35, what is x? (a) 7 (b) 6 (c) 63 (d) 8
  30. 30.If 3x + 7 = 2x + 10, what is x? (a) 17 (b) 3 (c) 4 (d) 5
  31. 31.If 9x + 17 = 44, what is x? (a) 27 (b) 3 (c) 2 (d) 4
  32. 32.If 8x − 61 = 11, what is x? (a) 72 (b) 8 (c) 9 (d) 10
  33. 33.If x/6 + 3 = 6, what is x? (a) 33 (b) 54 (c) 18 (d) 3
  34. 34.If 4x + 8 = x + 32, what is x? (a) 8 (b) 7 (c) 10 (d) 9
  35. 35.If 4x − 3 = 13, what is x? (a) 16 (b) 3 (c) 5 (d) 4
  36. 36.If 7x + 22 = 113, what is x? (a) 12 (b) 14 (c) 13 (d) 91
  37. 37.If 9x − 40 = 50, what is x? (a) 10 (b) 9 (c) 90 (d) 11
  38. 38.If x/2 + 11 = 13, what is x? (a) 2 (b) 15 (c) 48 (d) 4
  39. 39.If 4x + 11 = x + 14, what is x? (a) 3 (b) 2 (c) 1 (d) 4
  40. 40.If 7x + 11 = 109, what is x? (a) 15 (b) 98 (c) 14 (d) 13

Answer key

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

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