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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 791 · 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 + 18 = 3x + 68, what is x? (a) 10 (b) 9 (c) 12 (d) 11
  2. 2.If 4x − 29 = 3, what is x? (a) 7 (b) 9 (c) 8 (d) 32
  3. 3.If 2x − 8 = 8, what is x? (a) 9 (b) 8 (c) 7 (d) 16
  4. 4.If 2x + 5 = 13, what is x? (a) 4 (b) 9 (c) 8 (d) 5
  5. 5.If x/4 + 6 = 11, what is x? (a) 68 (b) 38 (c) 20 (d) 5
  6. 6.If 6x + 11 = 4x + 15, what is x? (a) 4 (b) 2 (c) 3 (d) 13
  7. 7.If 6x − 3 = 45, what is x? (a) 9 (b) 7 (c) 48 (d) 8
  8. 8.If 5x − 1 = 39, what is x? (a) 7 (b) 40 (c) 9 (d) 8
  9. 9.If 4x + 13 = x + 37, what is x? (a) 8 (b) 10 (c) 7 (d) 9
  10. 10.If 4x + 20 = 2x + 42, what is x? (a) 11 (b) 12 (c) 31 (d) 13
  11. 11.If 4x − 7 = 29, what is x? (a) 8 (b) 9 (c) 36 (d) 10
  12. 12.If x/4 + 9 = 21, what is x? (a) 48 (b) 75 (c) 120 (d) 12
  13. 13.If x/6 + 4 = 13, what is x? (a) 54 (b) 102 (c) 74 (d) 9
  14. 14.If 8x + 3 = x + 17, what is x? (a) 4 (b) 1 (c) 2 (d) 3
  15. 15.If 2x + 8 = 16, what is x? (a) 4 (b) 8 (c) 5 (d) 12
  16. 16.If 8x − 21 = 27, what is x? (a) 5 (b) 6 (c) 48 (d) 7
  17. 17.If 7x + 14 = 98, what is x? (a) 16 (b) 84 (c) 13 (d) 12
  18. 18.If 7x − 62 = 8, what is x? (a) 70 (b) 9 (c) 10 (d) 11
  19. 19.If x/5 + 6 = 9, what is x? (a) 15 (b) 39 (c) 3 (d) 75
  20. 20.If 9x + 2 = 65, what is x? (a) 8 (b) 63 (c) 6 (d) 7
  21. 21.If 4x + 26 = 78, what is x? (a) 13 (b) 52 (c) 14 (d) 26
  22. 22.If 3x + 30 = 48, what is x? (a) 26 (b) 7 (c) 6 (d) 18
  23. 23.If 2x − 3 = 5, what is x? (a) 4 (b) 1 (c) 5 (d) 8
  24. 24.If x/5 + 6 = 10, what is x? (a) 44 (b) 80 (c) 20 (d) 4
  25. 25.If 5x + 6 = 2x + 24, what is x? (a) 6 (b) 7 (c) 8 (d) 10
  26. 26.If x/2 + 7 = 9, what is x? (a) 11 (b) 32 (c) 2 (d) 4
  27. 27.If x/3 + 11 = 15, what is x? (a) 34 (b) 78 (c) 12 (d) 4
  28. 28.If x/3 + 5 = 9, what is x? (a) 4 (b) 12 (c) 22 (d) 42
  29. 29.If 2x − 16 = 2, what is x? (a) 10 (b) 9 (c) 18 (d) 8
  30. 30.If 2x − 7 = 5, what is x? (a) 5 (b) 12 (c) 7 (d) 6
  31. 31.If x/2 + 3 = 15, what is x? (a) 12 (b) 24 (c) 27 (d) 36
  32. 32.If 8x + 26 = 74, what is x? (a) 7 (b) 48 (c) 5 (d) 6
  33. 33.If 9x + 4 = 2x + 60, what is x? (a) 7 (b) 8 (c) 9 (d) 10
  34. 34.If x/3 + 7 = 17, what is x? (a) 10 (b) 72 (c) 44 (d) 30
  35. 35.If 4x − 28 = 4, what is x? (a) 9 (b) 7 (c) 8 (d) 32
  36. 36.If 5x + 12 = 2x + 45, what is x? (a) 12 (b) 11 (c) 13 (d) 19
  37. 37.If 9x + 11 = 4x + 26, what is x? (a) 5 (b) 3 (c) 2 (d) 4
  38. 38.If 7x + 4 = x + 70, what is x? (a) 11 (b) 12 (c) 10 (d) 13
  39. 39.If 9x + 6 = 69, what is x? (a) 63 (b) 7 (c) 8 (d) 6
  40. 40.If x/6 + 3 = 5, what is x? (a) 48 (b) 2 (c) 27 (d) 12

Answer key

  1. 10
  2. 8
  3. 8
  4. 4
  5. 20
  6. 2
  7. 8
  8. 8
  9. 8
  10. 11
  11. 9
  12. 48
  13. 54
  14. 2
  15. 4
  16. 6
  17. 12
  18. 10
  19. 15
  20. 7
  21. 13
  22. 6
  23. 4
  24. 20
  25. 6
  26. 4
  27. 12
  28. 12
  29. 9
  30. 6
  31. 24
  32. 6
  33. 8
  34. 30
  35. 8
  36. 11
  37. 3
  38. 11
  39. 7
  40. 12

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