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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 826 · 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 + 22 = 54, what is x? (a) 32 (b) 5 (c) 3 (d) 4
  2. 2.If 7x − 21 = 49, what is x? (a) 4 (b) 11 (c) 10 (d) 70
  3. 3.If 4x − 12 = 4, what is x? (a) 16 (b) 3 (c) 5 (d) 4
  4. 4.If 4x + 9 = 33, what is x? (a) 24 (b) 7 (c) 5 (d) 6
  5. 5.If 9x − 23 = 40, what is x? (a) 63 (b) 8 (c) 6 (d) 7
  6. 6.If 7x − 5 = 58, what is x? (a) 9 (b) 63 (c) 8 (d) 10
  7. 7.If 6x + 15 = 5x + 27, what is x? (a) 13 (b) 42 (c) 14 (d) 12
  8. 8.If 2x − 4 = 12, what is x? (a) 9 (b) 16 (c) 4 (d) 8
  9. 9.If 5x − 30 = 35, what is x? (a) 1 (b) 65 (c) 13 (d) 14
  10. 10.If 8x + 12 = 116, what is x? (a) 13 (b) 16 (c) 104 (d) 14
  11. 11.If 5x + 2 = 22, what is x? (a) 4 (b) 5 (c) 20 (d) 3
  12. 12.If 2x + 27 = 57, what is x? (a) 16 (b) 15 (c) 30 (d) 42
  13. 13.If 2x − 24 = 6, what is x? (a) 30 (b) 14 (c) 15 (d) 16
  14. 14.If 7x − 28 = 7, what is x? (a) 6 (b) 5 (c) 35 (d) 4
  15. 15.If 3x − 8 = 13, what is x? (a) 21 (b) 6 (c) 7 (d) 8
  16. 16.If 5x + 11 = x + 59, what is x? (a) 14 (b) 8 (c) 12 (d) 13
  17. 17.If 4x + 14 = 2x + 28, what is x? (a) 9 (b) 21 (c) 8 (d) 7
  18. 18.If 9x − 26 = 10, what is x? (a) 4 (b) 36 (c) 5 (d) 3
  19. 19.If 9x + 17 = 71, what is x? (a) 5 (b) 6 (c) 7 (d) 54
  20. 20.If 4x + 10 = 42, what is x? (a) 32 (b) 8 (c) 13 (d) 9
  21. 21.If 4x + 20 = 2x + 28, what is x? (a) 4 (b) 5 (c) 6 (d) 24
  22. 22.If 4x + 2 = 3x + 6, what is x? (a) 8 (b) 5 (c) 4 (d) 6
  23. 23.If 7x − 38 = 46, what is x? (a) 13 (b) 84 (c) 11 (d) 12
  24. 24.If 8x + 1 = 41, what is x? (a) 4 (b) 6 (c) 40 (d) 5
  25. 25.If x/6 + 12 = 20, what is x? (a) 192 (b) 8 (c) 108 (d) 48
  26. 26.If 8x + 2 = 2x + 68, what is x? (a) 13 (b) 12 (c) 10 (d) 11
  27. 27.If 7x + 7 = 49, what is x? (a) 8 (b) 7 (c) 42 (d) 6
  28. 28.If 7x − 7 = 14, what is x? (a) 21 (b) 4 (c) 3 (d) 1
  29. 29.If 4x + 14 = x + 50, what is x? (a) 14 (b) 11 (c) 13 (d) 12
  30. 30.If 7x + 15 = 5x + 21, what is x? (a) 18 (b) 4 (c) 5 (d) 3
  31. 31.If x/2 + 6 = 18, what is x? (a) 30 (b) 48 (c) 12 (d) 24
  32. 32.If 7x − 62 = 43, what is x? (a) 15 (b) 105 (c) 16 (d) 14
  33. 33.If 7x + 17 = 5x + 27, what is x? (a) 22 (b) 7 (c) 6 (d) 5
  34. 34.If 8x + 20 = 5x + 29, what is x? (a) 5 (b) 3 (c) 4 (d) 2
  35. 35.If 6x + 5 = 23, what is x? (a) 18 (b) 3 (c) 2 (d) 4
  36. 36.If x/2 + 7 = 9, what is x? (a) 4 (b) 11 (c) 2 (d) 32
  37. 37.If 7x − 56 = 49, what is x? (a) 14 (b) 105 (c) 16 (d) 15
  38. 38.If 2x + 4 = 32, what is x? (a) 15 (b) 28 (c) 18 (d) 14
  39. 39.If 3x + 6 = 39, what is x? (a) 15 (b) 12 (c) 33 (d) 11
  40. 40.If 9x − 98 = 10, what is x? (a) 13 (b) 11 (c) 108 (d) 12

Answer key

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

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