← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 519 · 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 5x + 2 = 67, what is x? (a) 12 (b) 13 (c) 14 (d) 65
  2. 2.If 7x + 6 = x + 60, what is x? (a) 10 (b) 8 (c) 9 (d) 11
  3. 3.If 4x + 24 = 32, what is x? (a) 14 (b) 8 (c) 3 (d) 2
  4. 4.If 4x + 19 = 3x + 26, what is x? (a) 8 (b) 45 (c) 7 (d) 1
  5. 5.If 3x − 7 = 2, what is x? (a) 2 (b) 9 (c) 3 (d) 4
  6. 6.If 4x + 24 = 76, what is x? (a) 52 (b) 25 (c) 14 (d) 13
  7. 7.If 2x + 20 = 42, what is x? (a) 11 (b) 22 (c) 12 (d) 31
  8. 8.If 2x − 5 = 3, what is x? (a) 5 (b) 8 (c) 4 (d) 3
  9. 9.If 9x + 11 = 101, what is x? (a) 90 (b) 11 (c) 10 (d) 9
  10. 10.If 3x + 15 = x + 31, what is x? (a) 9 (b) 8 (c) 4 (d) 23
  11. 11.If 2x + 25 = 47, what is x? (a) 22 (b) 11 (c) 12 (d) 36
  12. 12.If x/2 + 12 = 14, what is x? (a) 2 (b) 52 (c) 16 (d) 4
  13. 13.If 7x + 2 = 3x + 10, what is x? (a) 3 (b) 2 (c) 1 (d) 4
  14. 14.If 2x − 3 = 9, what is x? (a) 3 (b) 7 (c) 12 (d) 6
  15. 15.If x/5 + 9 = 14, what is x? (a) 5 (b) 115 (c) 61 (d) 25
  16. 16.If 9x − 15 = 84, what is x? (a) 12 (b) 10 (c) 99 (d) 11
  17. 17.If 5x + 3 = 43, what is x? (a) 7 (b) 9 (c) 40 (d) 8
  18. 18.If 6x + 16 = 2x + 44, what is x? (a) 9 (b) 15 (c) 8 (d) 7
  19. 19.If x/3 + 11 = 23, what is x? (a) 58 (b) 36 (c) 102 (d) 12
  20. 20.If 7x + 9 = 2x + 39, what is x? (a) 5 (b) 7 (c) 8 (d) 6
  21. 21.If 9x + 29 = 65, what is x? (a) 4 (b) 3 (c) 5 (d) 36
  22. 22.If x/3 + 2 = 11, what is x? (a) 27 (b) 31 (c) 39 (d) 9
  23. 23.If 3x + 17 = 50, what is x? (a) 12 (b) 11 (c) 10 (d) 33
  24. 24.If 9x − 113 = 4, what is x? (a) 14 (b) 13 (c) 117 (d) 12
  25. 25.If 7x + 30 = 58, what is x? (a) 4 (b) 28 (c) 5 (d) 3
  26. 26.If 9x − 36 = 36, what is x? (a) 8 (b) 7 (c) 9 (d) 72
  27. 27.If 9x + 6 = 141, what is x? (a) 16 (b) 135 (c) 14 (d) 15
  28. 28.If x/3 + 9 = 14, what is x? (a) 69 (b) 15 (c) 33 (d) 5
  29. 29.If 9x + 4 = x + 44, what is x? (a) 4 (b) 6 (c) 5 (d) 7
  30. 30.If 9x + 25 = 142, what is x? (a) 13 (b) 117 (c) 12 (d) 14
  31. 31.If 8x + 2 = 114, what is x? (a) 14 (b) 112 (c) 13 (d) 15
  32. 32.If 6x + 1 = x + 26, what is x? (a) 5 (b) 4 (c) 6 (d) 7
  33. 33.If x/2 + 15 = 23, what is x? (a) 76 (b) 8 (c) 16 (d) 31
  34. 34.If 4x + 14 = 58, what is x? (a) 12 (b) 44 (c) 18 (d) 11
  35. 35.If 4x + 9 = 41, what is x? (a) 7 (b) 8 (c) 9 (d) 32
  36. 36.If 7x + 24 = 122, what is x? (a) 15 (b) 98 (c) 13 (d) 14
  37. 37.If 2x + 29 = 45, what is x? (a) 37 (b) 16 (c) 8 (d) 9
  38. 38.If 9x + 1 = 7x + 5, what is x? (a) 1 (b) 4 (c) 3 (d) 2
  39. 39.If 4x + 18 = 38, what is x? (a) 6 (b) 5 (c) 20 (d) 14
  40. 40.If x/3 + 3 = 13, what is x? (a) 30 (b) 36 (c) 48 (d) 10

Answer key

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

Free maths olympiad lessons, practice and worksheets at talentjr.in/maths-olympiad