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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 430 · 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 x/2 + 15 = 22, what is x? (a) 7 (b) 29 (c) 74 (d) 14
  2. 2.If x/5 + 1 = 3, what is x? (a) 14 (b) 10 (c) 2 (d) 20
  3. 3.If 4x − 10 = 22, what is x? (a) 8 (b) 3 (c) 9 (d) 32
  4. 4.If x/2 + 11 = 22, what is x? (a) 66 (b) 33 (c) 11 (d) 22
  5. 5.If 3x − 37 = 2, what is x? (a) 12 (b) 13 (c) 39 (d) 14
  6. 6.If 2x − 2 = 26, what is x? (a) 14 (b) 28 (c) 15 (d) 12
  7. 7.If 3x + 1 = 2x + 9, what is x? (a) 9 (b) 10 (c) 8 (d) 7
  8. 8.If 8x + 19 = 99, what is x? (a) 9 (b) 10 (c) 80 (d) 11
  9. 9.If 3x + 3 = x + 25, what is x? (a) 11 (b) 13 (c) 14 (d) 12
  10. 10.If 5x + 15 = 85, what is x? (a) 70 (b) 14 (c) 20 (d) 15
  11. 11.If 5x − 19 = 16, what is x? (a) 35 (b) 7 (c) 6 (d) 8
  12. 12.If x/3 + 2 = 13, what is x? (a) 37 (b) 45 (c) 33 (d) 11
  13. 13.If x/5 + 2 = 13, what is x? (a) 63 (b) 11 (c) 75 (d) 55
  14. 14.If 6x + 19 = 5x + 21, what is x? (a) 40 (b) 4 (c) 2 (d) 3
  15. 15.If 7x + 7 = 98, what is x? (a) 13 (b) 14 (c) 91 (d) 15
  16. 16.If 8x + 14 = 6x + 22, what is x? (a) 5 (b) 18 (c) 4 (d) 6
  17. 17.If x/2 + 15 = 21, what is x? (a) 72 (b) 12 (c) 6 (d) 27
  18. 18.If 7x + 22 = 92, what is x? (a) 10 (b) 11 (c) 9 (d) 70
  19. 19.If x/2 + 5 = 14, what is x? (a) 38 (b) 18 (c) 9 (d) 23
  20. 20.If x/5 + 14 = 21, what is x? (a) 91 (b) 175 (c) 35 (d) 7
  21. 21.If 9x − 20 = 52, what is x? (a) 72 (b) 9 (c) 7 (d) 8
  22. 22.If 9x − 19 = 44, what is x? (a) 7 (b) 63 (c) 6 (d) 8
  23. 23.If 5x + 28 = 58, what is x? (a) 30 (b) 7 (c) 6 (d) 5
  24. 24.If 5x + 29 = 79, what is x? (a) 11 (b) 10 (c) 50 (d) 9
  25. 25.If 6x − 22 = 26, what is x? (a) 48 (b) 9 (c) 7 (d) 8
  26. 26.If 9x + 23 = 131, what is x? (a) 11 (b) 12 (c) 108 (d) 13
  27. 27.If 7x − 42 = 14, what is x? (a) 8 (b) 9 (c) 7 (d) 56
  28. 28.If 7x + 7 = 3x + 39, what is x? (a) 9 (b) 8 (c) 7 (d) 10
  29. 29.If 9x + 1 = 2x + 29, what is x? (a) 5 (b) 4 (c) 3 (d) 6
  30. 30.If x/6 + 5 = 7, what is x? (a) 37 (b) 12 (c) 2 (d) 72
  31. 31.If 5x + 12 = 4x + 15, what is x? (a) 4 (b) 27 (c) 3 (d) 5
  32. 32.If x/2 + 1 = 5, what is x? (a) 9 (b) 12 (c) 8 (d) 4
  33. 33.If 8x + 10 = 2x + 16, what is x? (a) 4 (b) 2 (c) 3 (d) 1
  34. 34.If 5x − 20 = 15, what is x? (a) 7 (b) 35 (c) 8 (d) 6
  35. 35.If 8x + 21 = 85, what is x? (a) 64 (b) 7 (c) 9 (d) 8
  36. 36.If x/2 + 4 = 14, what is x? (a) 24 (b) 10 (c) 36 (d) 20
  37. 37.If x/6 + 5 = 17, what is x? (a) 97 (b) 72 (c) 132 (d) 12
  38. 38.If 6x + 18 = 3x + 30, what is x? (a) 4 (b) 6 (c) 5 (d) 16
  39. 39.If 7x − 26 = 9, what is x? (a) 5 (b) 4 (c) 35 (d) 6
  40. 40.If 5x + 2 = 2x + 5, what is x? (a) 4 (b) 2 (c) 1 (d) 3

Answer key

  1. 14
  2. 10
  3. 8
  4. 22
  5. 13
  6. 14
  7. 8
  8. 10
  9. 11
  10. 14
  11. 7
  12. 33
  13. 55
  14. 2
  15. 13
  16. 4
  17. 12
  18. 10
  19. 18
  20. 35
  21. 8
  22. 7
  23. 6
  24. 10
  25. 8
  26. 12
  27. 8
  28. 8
  29. 4
  30. 12
  31. 3
  32. 8
  33. 1
  34. 7
  35. 8
  36. 20
  37. 72
  38. 4
  39. 5
  40. 1

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