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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 676 · 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 + 15 = 24, what is x? (a) 9 (b) 3 (c) 4 (d) 13
  2. 2.If 4x + 4 = 2x + 24, what is x? (a) 11 (b) 14 (c) 12 (d) 10
  3. 3.If 2x + 13 = 35, what is x? (a) 11 (b) 24 (c) 22 (d) 12
  4. 4.If 6x + 8 = 26, what is x? (a) 2 (b) 4 (c) 3 (d) 18
  5. 5.If x/5 + 7 = 9, what is x? (a) 80 (b) 38 (c) 2 (d) 10
  6. 6.If 8x + 15 = 103, what is x? (a) 11 (b) 88 (c) 10 (d) 12
  7. 7.If x/5 + 15 = 23, what is x? (a) 40 (b) 190 (c) 8 (d) 100
  8. 8.If x/4 + 1 = 13, what is x? (a) 51 (b) 56 (c) 48 (d) 12
  9. 9.If 3x − 9 = 33, what is x? (a) 14 (b) 8 (c) 42 (d) 15
  10. 10.If 3x + 10 = 46, what is x? (a) 11 (b) 13 (c) 36 (d) 12
  11. 11.If 4x + 8 = 56, what is x? (a) 48 (b) 16 (c) 13 (d) 12
  12. 12.If 3x + 20 = 2x + 23, what is x? (a) 4 (b) 43 (c) 3 (d) 5
  13. 13.If 6x − 47 = 1, what is x? (a) 9 (b) 7 (c) 8 (d) 48
  14. 14.If x/2 + 12 = 24, what is x? (a) 72 (b) 36 (c) 12 (d) 24
  15. 15.If x/3 + 1 = 13, what is x? (a) 42 (b) 12 (c) 38 (d) 36
  16. 16.If 9x − 33 = 3, what is x? (a) 36 (b) 5 (c) 4 (d) 3
  17. 17.If 8x − 72 = 48, what is x? (a) 16 (b) 14 (c) 15 (d) 120
  18. 18.If x/2 + 14 = 16, what is x? (a) 2 (b) 60 (c) 18 (d) 4
  19. 19.If x/2 + 4 = 12, what is x? (a) 8 (b) 32 (c) 20 (d) 16
  20. 20.If 4x + 6 = x + 15, what is x? (a) 5 (b) 3 (c) 4 (d) 7
  21. 21.If 4x + 18 = 2x + 22, what is x? (a) 2 (b) 3 (c) 20 (d) 4
  22. 22.If 5x − 38 = 12, what is x? (a) 10 (b) 11 (c) 50 (d) 9
  23. 23.If 3x + 19 = x + 25, what is x? (a) 3 (b) 4 (c) 5 (d) 22
  24. 24.If 7x + 16 = x + 34, what is x? (a) 3 (b) 5 (c) 4 (d) 2
  25. 25.If x/4 + 6 = 13, what is x? (a) 76 (b) 46 (c) 28 (d) 7
  26. 26.If 3x + 26 = 47, what is x? (a) 8 (b) 21 (c) 6 (d) 7
  27. 27.If x/2 + 3 = 14, what is x? (a) 25 (b) 34 (c) 22 (d) 11
  28. 28.If x/4 + 10 = 17, what is x? (a) 58 (b) 28 (c) 108 (d) 7
  29. 29.If 8x + 21 = 69, what is x? (a) 48 (b) 7 (c) 6 (d) 5
  30. 30.If 3x + 20 = 26, what is x? (a) 2 (b) 6 (c) 3 (d) 1
  31. 31.If 3x + 5 = x + 15, what is x? (a) 6 (b) 10 (c) 5 (d) 7
  32. 32.If x/5 + 1 = 7, what is x? (a) 30 (b) 6 (c) 34 (d) 40
  33. 33.If x/6 + 4 = 10, what is x? (a) 6 (b) 84 (c) 56 (d) 36
  34. 34.If 2x + 10 = 14, what is x? (a) 3 (b) 12 (c) 2 (d) 4
  35. 35.If 4x − 4 = 4, what is x? (a) 3 (b) 2 (c) 1 (d) 8
  36. 36.If 7x + 5 = 4x + 20, what is x? (a) 4 (b) 7 (c) 5 (d) 6
  37. 37.If 5x − 7 = 3, what is x? (a) 1 (b) 10 (c) 3 (d) 2
  38. 38.If 6x − 18 = 36, what is x? (a) 9 (b) 10 (c) 54 (d) 3
  39. 39.If 3x − 13 = 2, what is x? (a) 15 (b) 4 (c) 6 (d) 5
  40. 40.If 7x − 40 = 9, what is x? (a) 8 (b) 7 (c) 6 (d) 49

Answer key

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

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