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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 574 · 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 7x − 79 = 19, what is x? (a) 98 (b) 15 (c) 13 (d) 14
  2. 2.If 6x − 7 = 29, what is x? (a) 5 (b) 6 (c) 36 (d) 7
  3. 3.If x/3 + 7 = 18, what is x? (a) 33 (b) 75 (c) 47 (d) 11
  4. 4.If 6x + 12 = 102, what is x? (a) 15 (b) 19 (c) 90 (d) 16
  5. 5.If x/3 + 15 = 18, what is x? (a) 99 (b) 3 (c) 39 (d) 9
  6. 6.If 6x − 60 = 6, what is x? (a) 10 (b) 66 (c) 11 (d) 12
  7. 7.If 9x + 29 = 83, what is x? (a) 6 (b) 54 (c) 7 (d) 5
  8. 8.If 2x + 29 = 43, what is x? (a) 8 (b) 14 (c) 7 (d) 36
  9. 9.If x/3 + 2 = 14, what is x? (a) 12 (b) 48 (c) 40 (d) 36
  10. 10.If x/4 + 3 = 13, what is x? (a) 40 (b) 49 (c) 10 (d) 64
  11. 11.If 8x + 4 = 5x + 7, what is x? (a) 4 (b) 2 (c) 3 (d) 1
  12. 12.If x/5 + 10 = 20, what is x? (a) 90 (b) 10 (c) 50 (d) 150
  13. 13.If x/5 + 14 = 17, what is x? (a) 15 (b) 3 (c) 155 (d) 71
  14. 14.If x/3 + 15 = 25, what is x? (a) 60 (b) 10 (c) 30 (d) 120
  15. 15.If 7x − 33 = 65, what is x? (a) 98 (b) 15 (c) 14 (d) 13
  16. 16.If x/5 + 10 = 22, what is x? (a) 60 (b) 12 (c) 100 (d) 160
  17. 17.If 6x + 4 = 4x + 8, what is x? (a) 2 (b) 6 (c) 3 (d) 4
  18. 18.If 8x + 17 = 4x + 65, what is x? (a) 12 (b) 4 (c) 13 (d) 14
  19. 19.If 5x + 15 = x + 27, what is x? (a) 3 (b) 5 (c) 2 (d) 4
  20. 20.If 9x + 30 = 111, what is x? (a) 9 (b) 81 (c) 8 (d) 10
  21. 21.If 5x + 20 = 90, what is x? (a) 70 (b) 15 (c) 14 (d) 22
  22. 22.If 4x + 14 = 30, what is x? (a) 5 (b) 4 (c) 11 (d) 16
  23. 23.If 4x + 13 = 3x + 17, what is x? (a) 5 (b) 6 (c) 30 (d) 4
  24. 24.If x/5 + 3 = 15, what is x? (a) 12 (b) 60 (c) 90 (d) 72
  25. 25.If x/4 + 6 = 14, what is x? (a) 50 (b) 32 (c) 8 (d) 80
  26. 26.If x/6 + 8 = 18, what is x? (a) 156 (b) 10 (c) 100 (d) 60
  27. 27.If 2x + 3 = 7, what is x? (a) 4 (b) 2 (c) 5 (d) 3
  28. 28.If 5x + 4 = 39, what is x? (a) 7 (b) 35 (c) 8 (d) 6
  29. 29.If 8x + 10 = 4x + 46, what is x? (a) 14 (b) 9 (c) 3 (d) 10
  30. 30.If 5x + 29 = 89, what is x? (a) 60 (b) 13 (c) 11 (d) 12
  31. 31.If 3x + 7 = x + 19, what is x? (a) 7 (b) 3 (c) 13 (d) 6
  32. 32.If 5x + 1 = 46, what is x? (a) 8 (b) 10 (c) 45 (d) 9
  33. 33.If 8x + 14 = 134, what is x? (a) 15 (b) 16 (c) 14 (d) 120
  34. 34.If 8x − 25 = 71, what is x? (a) 13 (b) 11 (c) 96 (d) 12
  35. 35.If 2x − 7 = 1, what is x? (a) 5 (b) 4 (c) 3 (d) 8
  36. 36.If x/4 + 4 = 9, what is x? (a) 52 (b) 5 (c) 32 (d) 20
  37. 37.If x/4 + 3 = 6, what is x? (a) 36 (b) 21 (c) 12 (d) 3
  38. 38.If 9x + 7 = 3x + 13, what is x? (a) 4 (b) 2 (c) 1 (d) 3
  39. 39.If 8x + 4 = 2x + 64, what is x? (a) 6 (b) 10 (c) 11 (d) 12
  40. 40.If 6x + 13 = x + 68, what is x? (a) 12 (b) 10 (c) 11 (d) 13

Answer key

  1. 14
  2. 6
  3. 33
  4. 15
  5. 9
  6. 11
  7. 6
  8. 7
  9. 36
  10. 40
  11. 1
  12. 50
  13. 15
  14. 30
  15. 14
  16. 60
  17. 2
  18. 12
  19. 3
  20. 9
  21. 14
  22. 4
  23. 4
  24. 60
  25. 32
  26. 60
  27. 2
  28. 7
  29. 9
  30. 12
  31. 6
  32. 9
  33. 15
  34. 12
  35. 4
  36. 20
  37. 12
  38. 1
  39. 10
  40. 11

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