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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 670 · 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 8x + 14 = 78, what is x? (a) 7 (b) 9 (c) 8 (d) 64
  2. 2.If x/4 + 5 = 15, what is x? (a) 10 (b) 40 (c) 80 (d) 55
  3. 3.If 2x + 10 = 34, what is x? (a) 24 (b) 22 (c) 13 (d) 12
  4. 4.If 3x + 19 = x + 41, what is x? (a) 13 (b) 11 (c) 12 (d) 30
  5. 5.If x/4 + 5 = 11, what is x? (a) 39 (b) 6 (c) 64 (d) 24
  6. 6.If 8x + 27 = 51, what is x? (a) 2 (b) 3 (c) 24 (d) 4
  7. 7.If 2x + 30 = 60, what is x? (a) 45 (b) 16 (c) 30 (d) 15
  8. 8.If x/4 + 1 = 12, what is x? (a) 47 (b) 52 (c) 44 (d) 11
  9. 9.If 7x − 4 = 24, what is x? (a) 3 (b) 4 (c) 28 (d) 5
  10. 10.If 8x + 2 = 5x + 5, what is x? (a) 1 (b) 2 (c) 3 (d) 4
  11. 11.If 5x − 7 = 8, what is x? (a) 4 (b) 15 (c) 2 (d) 3
  12. 12.If 3x + 23 = 35, what is x? (a) 12 (b) 3 (c) 4 (d) 5
  13. 13.If 3x + 16 = 40, what is x? (a) 8 (b) 24 (c) 7 (d) 9
  14. 14.If x/2 + 6 = 8, what is x? (a) 4 (b) 10 (c) 28 (d) 2
  15. 15.If 2x − 15 = 13, what is x? (a) 13 (b) 28 (c) 14 (d) 15
  16. 16.If 2x + 9 = 33, what is x? (a) 12 (b) 13 (c) 21 (d) 24
  17. 17.If x/5 + 5 = 7, what is x? (a) 30 (b) 2 (c) 60 (d) 10
  18. 18.If 3x + 9 = 48, what is x? (a) 39 (b) 14 (c) 13 (d) 19
  19. 19.If 6x − 1 = 11, what is x? (a) 1 (b) 2 (c) 12 (d) 3
  20. 20.If x/6 + 11 = 21, what is x? (a) 10 (b) 192 (c) 115 (d) 60
  21. 21.If 3x − 1 = 5, what is x? (a) 3 (b) 1 (c) 2 (d) 6
  22. 22.If 3x + 7 = 2x + 14, what is x? (a) 7 (b) 8 (c) 9 (d) 21
  23. 23.If 3x + 20 = 2x + 28, what is x? (a) 8 (b) 9 (c) 10 (d) 48
  24. 24.If 8x + 14 = 7x + 17, what is x? (a) 4 (b) 31 (c) 5 (d) 3
  25. 25.If 6x + 9 = 5x + 11, what is x? (a) 20 (b) 2 (c) 3 (d) 4
  26. 26.If x/3 + 6 = 18, what is x? (a) 72 (b) 48 (c) 36 (d) 12
  27. 27.If 3x + 15 = x + 31, what is x? (a) 9 (b) 8 (c) 23 (d) 4
  28. 28.If 7x + 16 = 79, what is x? (a) 10 (b) 8 (c) 63 (d) 9
  29. 29.If x/2 + 5 = 9, what is x? (a) 4 (b) 13 (c) 8 (d) 28
  30. 30.If x/4 + 1 = 3, what is x? (a) 2 (b) 11 (c) 16 (d) 8
  31. 31.If x/2 + 13 = 22, what is x? (a) 70 (b) 9 (c) 31 (d) 18
  32. 32.If 4x − 1 = 15, what is x? (a) 3 (b) 5 (c) 16 (d) 4
  33. 33.If 5x + 28 = 43, what is x? (a) 2 (b) 15 (c) 3 (d) 4
  34. 34.If 7x + 26 = 131, what is x? (a) 105 (b) 16 (c) 14 (d) 15
  35. 35.If 9x − 11 = 97, what is x? (a) 13 (b) 11 (c) 12 (d) 108
  36. 36.If 8x + 9 = 33, what is x? (a) 4 (b) 2 (c) 24 (d) 3
  37. 37.If 6x + 14 = 4x + 20, what is x? (a) 4 (b) 17 (c) 5 (d) 3
  38. 38.If 6x + 22 = 64, what is x? (a) 6 (b) 8 (c) 7 (d) 42
  39. 39.If 4x + 11 = 3x + 13, what is x? (a) 24 (b) 4 (c) 3 (d) 2
  40. 40.If 5x + 23 = 53, what is x? (a) 30 (b) 5 (c) 7 (d) 6

Answer key

  1. 8
  2. 40
  3. 12
  4. 11
  5. 24
  6. 3
  7. 15
  8. 44
  9. 4
  10. 1
  11. 3
  12. 4
  13. 8
  14. 4
  15. 14
  16. 12
  17. 10
  18. 13
  19. 2
  20. 60
  21. 2
  22. 7
  23. 8
  24. 3
  25. 2
  26. 36
  27. 8
  28. 9
  29. 8
  30. 8
  31. 18
  32. 4
  33. 3
  34. 15
  35. 12
  36. 3
  37. 3
  38. 7
  39. 2
  40. 6

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