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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 270 · 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 4x − 5 = 7, what is x? (a) 2 (b) 3 (c) 4 (d) 12
  2. 2.If 9x − 39 = 69, what is x? (a) 13 (b) 108 (c) 12 (d) 11
  3. 3.If 2x − 4 = 22, what is x? (a) 9 (b) 14 (c) 13 (d) 26
  4. 4.If x/4 + 1 = 4, what is x? (a) 20 (b) 3 (c) 15 (d) 12
  5. 5.If 6x + 11 = 35, what is x? (a) 24 (b) 3 (c) 5 (d) 4
  6. 6.If 7x + 13 = 48, what is x? (a) 35 (b) 6 (c) 5 (d) 4
  7. 7.If 9x − 37 = 8, what is x? (a) 6 (b) 45 (c) 4 (d) 5
  8. 8.If 5x + 11 = x + 59, what is x? (a) 14 (b) 13 (c) 8 (d) 12
  9. 9.If 3x + 13 = 2x + 14, what is x? (a) 3 (b) 2 (c) 27 (d) 1
  10. 10.If x/6 + 4 = 11, what is x? (a) 7 (b) 42 (c) 62 (d) 90
  11. 11.If 4x + 11 = 3x + 12, what is x? (a) 3 (b) 2 (c) 23 (d) 1
  12. 12.If 8x − 20 = 68, what is x? (a) 12 (b) 11 (c) 88 (d) 6
  13. 13.If 7x + 7 = 4x + 31, what is x? (a) 7 (b) 9 (c) 8 (d) 10
  14. 14.If 5x − 27 = 33, what is x? (a) 11 (b) 13 (c) 12 (d) 60
  15. 15.If 8x + 10 = 98, what is x? (a) 10 (b) 88 (c) 11 (d) 12
  16. 16.If 7x − 27 = 15, what is x? (a) 42 (b) 7 (c) 5 (d) 6
  17. 17.If 4x + 12 = x + 33, what is x? (a) 7 (b) 8 (c) 15 (d) 9
  18. 18.If 7x − 7 = 7, what is x? (a) 3 (b) 1 (c) 2 (d) 14
  19. 19.If 4x + 6 = x + 12, what is x? (a) 2 (b) 4 (c) 3 (d) 6
  20. 20.If 3x − 3 = 27, what is x? (a) 8 (b) 11 (c) 10 (d) 30
  21. 21.If 3x − 11 = 4, what is x? (a) 5 (b) 4 (c) 6 (d) 15
  22. 22.If 5x − 29 = 6, what is x? (a) 7 (b) 8 (c) 35 (d) 6
  23. 23.If 8x + 7 = x + 21, what is x? (a) 3 (b) 2 (c) 4 (d) 1
  24. 24.If 7x + 28 = 105, what is x? (a) 77 (b) 11 (c) 19 (d) 12
  25. 25.If 8x − 36 = 84, what is x? (a) 6 (b) 15 (c) 120 (d) 16
  26. 26.If x/5 + 4 = 10, what is x? (a) 46 (b) 6 (c) 70 (d) 30
  27. 27.If 2x + 3 = 19, what is x? (a) 9 (b) 11 (c) 16 (d) 8
  28. 28.If 5x + 5 = 50, what is x? (a) 10 (b) 45 (c) 9 (d) 11
  29. 29.If 6x − 4 = 38, what is x? (a) 6 (b) 8 (c) 7 (d) 42
  30. 30.If 3x + 2 = x + 16, what is x? (a) 6 (b) 7 (c) 8 (d) 9
  31. 31.If 8x + 13 = 5x + 22, what is x? (a) 5 (b) 2 (c) 3 (d) 4
  32. 32.If x/2 + 15 = 25, what is x? (a) 35 (b) 20 (c) 10 (d) 80
  33. 33.If 6x + 20 = 2x + 36, what is x? (a) 4 (b) 5 (c) 14 (d) 2
  34. 34.If 7x + 6 = 6x + 14, what is x? (a) 10 (b) 9 (c) 20 (d) 8
  35. 35.If 8x − 28 = 60, what is x? (a) 11 (b) 4 (c) 12 (d) 88
  36. 36.If 6x + 6 = 72, what is x? (a) 12 (b) 66 (c) 11 (d) 13
  37. 37.If 7x + 20 = 3x + 24, what is x? (a) 3 (b) 1 (c) 11 (d) 2
  38. 38.If x/6 + 13 = 22, what is x? (a) 119 (b) 210 (c) 54 (d) 9
  39. 39.If 8x + 18 = 122, what is x? (a) 14 (b) 104 (c) 12 (d) 13
  40. 40.If 4x − 35 = 5, what is x? (a) 40 (b) 9 (c) 10 (d) 11

Answer key

  1. 3
  2. 12
  3. 13
  4. 12
  5. 4
  6. 5
  7. 5
  8. 12
  9. 1
  10. 42
  11. 1
  12. 11
  13. 8
  14. 12
  15. 11
  16. 6
  17. 7
  18. 2
  19. 2
  20. 10
  21. 5
  22. 7
  23. 2
  24. 11
  25. 15
  26. 30
  27. 8
  28. 9
  29. 7
  30. 7
  31. 3
  32. 20
  33. 4
  34. 8
  35. 11
  36. 11
  37. 1
  38. 54
  39. 13
  40. 10

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