← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 359 · 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 7x + 1 = 43, what is x? (a) 5 (b) 42 (c) 7 (d) 6
  2. 2.If 3x + 5 = 2x + 11, what is x? (a) 8 (b) 7 (c) 16 (d) 6
  3. 3.If 4x + 12 = 36, what is x? (a) 24 (b) 7 (c) 6 (d) 12
  4. 4.If 7x + 4 = 88, what is x? (a) 13 (b) 12 (c) 11 (d) 84
  5. 5.If 9x + 4 = 2x + 67, what is x? (a) 9 (b) 11 (c) 8 (d) 10
  6. 6.If 8x − 7 = 89, what is x? (a) 12 (b) 13 (c) 96 (d) 11
  7. 7.If x/4 + 2 = 13, what is x? (a) 60 (b) 11 (c) 50 (d) 44
  8. 8.If x/6 + 6 = 12, what is x? (a) 66 (b) 108 (c) 36 (d) 6
  9. 9.If x/4 + 7 = 10, what is x? (a) 3 (b) 33 (c) 12 (d) 68
  10. 10.If 3x + 5 = 20, what is x? (a) 15 (b) 4 (c) 5 (d) 6
  11. 11.If 7x + 2 = 6x + 12, what is x? (a) 10 (b) 11 (c) 12 (d) 14
  12. 12.If 6x − 61 = 5, what is x? (a) 66 (b) 12 (c) 10 (d) 11
  13. 13.If 6x − 11 = 43, what is x? (a) 8 (b) 9 (c) 10 (d) 54
  14. 14.If 7x + 7 = x + 61, what is x? (a) 9 (b) 8 (c) 10 (d) 11
  15. 15.If x/6 + 15 = 20, what is x? (a) 105 (b) 5 (c) 210 (d) 30
  16. 16.If 4x + 23 = 79, what is x? (a) 15 (b) 56 (c) 13 (d) 14
  17. 17.If 9x + 9 = 2x + 86, what is x? (a) 11 (b) 7 (c) 12 (d) 13
  18. 18.If 4x − 29 = 3, what is x? (a) 9 (b) 32 (c) 7 (d) 8
  19. 19.If 8x + 10 = 122, what is x? (a) 112 (b) 15 (c) 14 (d) 13
  20. 20.If 3x + 18 = 2x + 30, what is x? (a) 13 (b) 48 (c) 12 (d) 14
  21. 21.If x/6 + 15 = 25, what is x? (a) 135 (b) 10 (c) 60 (d) 240
  22. 22.If 7x + 3 = 45, what is x? (a) 42 (b) 5 (c) 7 (d) 6
  23. 23.If 8x + 5 = x + 75, what is x? (a) 12 (b) 11 (c) 10 (d) 9
  24. 24.If 9x − 1 = 26, what is x? (a) 2 (b) 4 (c) 3 (d) 27
  25. 25.If 4x + 15 = 2x + 33, what is x? (a) 3 (b) 9 (c) 24 (d) 10
  26. 26.If 4x − 5 = 27, what is x? (a) 9 (b) 8 (c) 7 (d) 32
  27. 27.If 3x + 11 = x + 13, what is x? (a) 2 (b) 12 (c) 3 (d) 1
  28. 28.If x/3 + 6 = 11, what is x? (a) 5 (b) 27 (c) 15 (d) 51
  29. 29.If 5x − 12 = 8, what is x? (a) 5 (b) 4 (c) 3 (d) 20
  30. 30.If 5x + 8 = x + 20, what is x? (a) 3 (b) 7 (c) 2 (d) 4
  31. 31.If 8x − 30 = 18, what is x? (a) 7 (b) 5 (c) 6 (d) 48
  32. 32.If 7x + 1 = 5x + 7, what is x? (a) 4 (b) 3 (c) 2 (d) 5
  33. 33.If 3x − 13 = 5, what is x? (a) 6 (b) 7 (c) 18 (d) 5
  34. 34.If 2x − 1 = 3, what is x? (a) 1 (b) 4 (c) 3 (d) 2
  35. 35.If x/6 + 8 = 17, what is x? (a) 94 (b) 150 (c) 54 (d) 9
  36. 36.If 3x + 10 = 2x + 21, what is x? (a) 12 (b) 11 (c) 31 (d) 13
  37. 37.If 3x − 38 = 1, what is x? (a) 14 (b) 39 (c) 13 (d) 12
  38. 38.If 4x + 17 = 3x + 26, what is x? (a) 11 (b) 9 (c) 10 (d) 43
  39. 39.If 9x − 75 = 33, what is x? (a) 13 (b) 108 (c) 11 (d) 12
  40. 40.If 8x + 6 = 4x + 38, what is x? (a) 10 (b) 8 (c) 9 (d) 11

Answer key

  1. 6
  2. 6
  3. 6
  4. 12
  5. 9
  6. 12
  7. 44
  8. 36
  9. 12
  10. 5
  11. 10
  12. 11
  13. 9
  14. 9
  15. 30
  16. 14
  17. 11
  18. 8
  19. 14
  20. 12
  21. 60
  22. 6
  23. 10
  24. 3
  25. 9
  26. 8
  27. 1
  28. 15
  29. 4
  30. 3
  31. 6
  32. 3
  33. 6
  34. 2
  35. 54
  36. 11
  37. 13
  38. 9
  39. 12
  40. 8

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