← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 66 · 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/5 + 6 = 14, what is x? (a) 8 (b) 100 (c) 40 (d) 64
  2. 2.If 8x + 5 = 45, what is x? (a) 5 (b) 6 (c) 4 (d) 40
  3. 3.If x/5 + 2 = 14, what is x? (a) 68 (b) 60 (c) 80 (d) 12
  4. 4.If x/4 + 11 = 13, what is x? (a) 2 (b) 41 (c) 96 (d) 8
  5. 5.If 4x + 13 = 3x + 20, what is x? (a) 8 (b) 33 (c) 1 (d) 7
  6. 6.If 8x + 19 = 7x + 20, what is x? (a) 1 (b) 39 (c) 2 (d) 3
  7. 7.If 6x + 18 = 108, what is x? (a) 15 (b) 90 (c) 16 (d) 21
  8. 8.If 6x − 58 = 26, what is x? (a) 15 (b) 84 (c) 13 (d) 14
  9. 9.If x/2 + 6 = 9, what is x? (a) 30 (b) 3 (c) 12 (d) 6
  10. 10.If x/6 + 12 = 14, what is x? (a) 156 (b) 2 (c) 12 (d) 72
  11. 11.If 5x − 8 = 2, what is x? (a) 2 (b) 3 (c) 10 (d) 1
  12. 12.If x/3 + 8 = 14, what is x? (a) 66 (b) 6 (c) 18 (d) 34
  13. 13.If 3x + 7 = 43, what is x? (a) 12 (b) 36 (c) 13 (d) 11
  14. 14.If 9x − 22 = 32, what is x? (a) 7 (b) 54 (c) 5 (d) 6
  15. 15.If x/4 + 6 = 11, what is x? (a) 5 (b) 68 (c) 20 (d) 38
  16. 16.If 3x + 9 = x + 33, what is x? (a) 6 (b) 12 (c) 13 (d) 21
  17. 17.If 5x − 6 = 34, what is x? (a) 7 (b) 9 (c) 40 (d) 8
  18. 18.If 6x + 14 = 4x + 22, what is x? (a) 4 (b) 5 (c) 6 (d) 18
  19. 19.If 6x − 74 = 10, what is x? (a) 13 (b) 14 (c) 15 (d) 84
  20. 20.If x/2 + 2 = 5, what is x? (a) 14 (b) 8 (c) 6 (d) 3
  21. 21.If 5x + 7 = 62, what is x? (a) 55 (b) 10 (c) 12 (d) 11
  22. 22.If 6x − 42 = 42, what is x? (a) 13 (b) 15 (c) 14 (d) 84
  23. 23.If 3x + 10 = 22, what is x? (a) 12 (b) 5 (c) 3 (d) 4
  24. 24.If 6x + 25 = 73, what is x? (a) 9 (b) 48 (c) 7 (d) 8
  25. 25.If 6x − 47 = 31, what is x? (a) 78 (b) 14 (c) 12 (d) 13
  26. 26.If 4x − 17 = 3, what is x? (a) 6 (b) 5 (c) 4 (d) 20
  27. 27.If x/4 + 5 = 14, what is x? (a) 9 (b) 76 (c) 36 (d) 51
  28. 28.If 2x + 12 = 32, what is x? (a) 22 (b) 20 (c) 11 (d) 10
  29. 29.If 3x − 8 = 22, what is x? (a) 30 (b) 11 (c) 9 (d) 10
  30. 30.If x/3 + 14 = 20, what is x? (a) 18 (b) 46 (c) 6 (d) 102
  31. 31.If 7x + 13 = 4x + 16, what is x? (a) 3 (b) 2 (c) 4 (d) 1
  32. 32.If 8x + 1 = 4x + 21, what is x? (a) 7 (b) 5 (c) 6 (d) 4
  33. 33.If 4x − 14 = 38, what is x? (a) 14 (b) 13 (c) 52 (d) 6
  34. 34.If x/6 + 10 = 14, what is x? (a) 74 (b) 4 (c) 24 (d) 144
  35. 35.If 8x + 5 = 4x + 45, what is x? (a) 12 (b) 11 (c) 9 (d) 10
  36. 36.If x/6 + 10 = 15, what is x? (a) 30 (b) 150 (c) 5 (d) 80
  37. 37.If x/3 + 4 = 15, what is x? (a) 33 (b) 11 (c) 57 (d) 41
  38. 38.If x/2 + 2 = 4, what is x? (a) 6 (b) 4 (c) 2 (d) 12
  39. 39.If 6x − 1 = 11, what is x? (a) 12 (b) 2 (c) 1 (d) 3
  40. 40.If 8x + 30 = 86, what is x? (a) 56 (b) 6 (c) 7 (d) 8

Answer key

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

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