← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 841 · 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/4 + 15 = 21, what is x? (a) 69 (b) 24 (c) 6 (d) 144
  2. 2.If 4x + 10 = 62, what is x? (a) 52 (b) 14 (c) 13 (d) 18
  3. 3.If x/3 + 13 = 19, what is x? (a) 44 (b) 96 (c) 6 (d) 18
  4. 4.If 5x + 11 = 71, what is x? (a) 11 (b) 13 (c) 60 (d) 12
  5. 5.If 7x + 15 = 5x + 17, what is x? (a) 3 (b) 2 (c) 1 (d) 16
  6. 6.If 4x − 9 = 3, what is x? (a) 12 (b) 4 (c) 3 (d) 2
  7. 7.If 3x + 17 = 41, what is x? (a) 9 (b) 7 (c) 8 (d) 24
  8. 8.If x/4 + 3 = 13, what is x? (a) 10 (b) 40 (c) 64 (d) 49
  9. 9.If 5x − 7 = 3, what is x? (a) 1 (b) 2 (c) 10 (d) 3
  10. 10.If x/2 + 9 = 11, what is x? (a) 40 (b) 13 (c) 4 (d) 2
  11. 11.If 3x + 26 = 53, what is x? (a) 9 (b) 10 (c) 27 (d) 8
  12. 12.If 5x − 50 = 10, what is x? (a) 11 (b) 60 (c) 12 (d) 13
  13. 13.If 5x + 6 = 71, what is x? (a) 65 (b) 13 (c) 12 (d) 14
  14. 14.If 8x − 75 = 5, what is x? (a) 9 (b) 11 (c) 10 (d) 80
  15. 15.If 3x − 18 = 15, what is x? (a) 12 (b) 33 (c) 10 (d) 11
  16. 16.If 9x + 10 = 109, what is x? (a) 12 (b) 99 (c) 11 (d) 10
  17. 17.If 9x − 46 = 53, what is x? (a) 99 (b) 11 (c) 12 (d) 10
  18. 18.If 4x + 28 = 80, what is x? (a) 14 (b) 52 (c) 13 (d) 27
  19. 19.If 5x − 12 = 63, what is x? (a) 15 (b) 14 (c) 16 (d) 75
  20. 20.If x/5 + 9 = 19, what is x? (a) 10 (b) 140 (c) 50 (d) 86
  21. 21.If 2x − 7 = 17, what is x? (a) 13 (b) 24 (c) 12 (d) 5
  22. 22.If 9x + 10 = 91, what is x? (a) 8 (b) 9 (c) 81 (d) 10
  23. 23.If x/5 + 8 = 20, what is x? (a) 140 (b) 60 (c) 12 (d) 92
  24. 24.If 9x + 15 = 150, what is x? (a) 16 (b) 135 (c) 15 (d) 14
  25. 25.If x/3 + 15 = 23, what is x? (a) 114 (b) 54 (c) 8 (d) 24
  26. 26.If 3x + 28 = 61, what is x? (a) 12 (b) 10 (c) 11 (d) 33
  27. 27.If 8x + 2 = x + 79, what is x? (a) 12 (b) 11 (c) 13 (d) 10
  28. 28.If x/2 + 11 = 20, what is x? (a) 9 (b) 18 (c) 29 (d) 62
  29. 29.If 8x + 8 = 7x + 17, what is x? (a) 10 (b) 9 (c) 25 (d) 11
  30. 30.If 4x + 6 = 3x + 13, what is x? (a) 19 (b) 8 (c) 1 (d) 7
  31. 31.If 6x + 22 = 70, what is x? (a) 9 (b) 48 (c) 8 (d) 7
  32. 32.If 3x + 20 = x + 24, what is x? (a) 1 (b) 3 (c) 22 (d) 2
  33. 33.If 9x − 10 = 17, what is x? (a) 2 (b) 27 (c) 3 (d) 4
  34. 34.If 9x + 15 = 7x + 21, what is x? (a) 4 (b) 18 (c) 5 (d) 3
  35. 35.If 4x + 4 = 3x + 15, what is x? (a) 12 (b) 13 (c) 19 (d) 11
  36. 36.If x/6 + 4 = 6, what is x? (a) 2 (b) 60 (c) 12 (d) 32
  37. 37.If 7x + 5 = 54, what is x? (a) 49 (b) 6 (c) 7 (d) 8
  38. 38.If 4x + 22 = 70, what is x? (a) 23 (b) 12 (c) 48 (d) 13
  39. 39.If 8x + 5 = 37, what is x? (a) 3 (b) 5 (c) 32 (d) 4
  40. 40.If 7x − 9 = 5, what is x? (a) 2 (b) 1 (c) 3 (d) 14

Answer key

  1. 24
  2. 13
  3. 18
  4. 12
  5. 1
  6. 3
  7. 8
  8. 40
  9. 2
  10. 4
  11. 9
  12. 12
  13. 13
  14. 10
  15. 11
  16. 11
  17. 11
  18. 13
  19. 15
  20. 50
  21. 12
  22. 9
  23. 60
  24. 15
  25. 24
  26. 11
  27. 11
  28. 18
  29. 9
  30. 7
  31. 8
  32. 2
  33. 3
  34. 3
  35. 11
  36. 12
  37. 7
  38. 12
  39. 4
  40. 2

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