← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 157 · 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 + 19 = 6x + 27, what is x? (a) 46 (b) 10 (c) 9 (d) 8
  2. 2.If 8x − 67 = 5, what is x? (a) 8 (b) 9 (c) 10 (d) 72
  3. 3.If 7x − 28 = 14, what is x? (a) 5 (b) 6 (c) 7 (d) 42
  4. 4.If 3x + 26 = 71, what is x? (a) 15 (b) 45 (c) 16 (d) 14
  5. 5.If 7x + 27 = 48, what is x? (a) 2 (b) 21 (c) 3 (d) 4
  6. 6.If 9x − 22 = 50, what is x? (a) 72 (b) 7 (c) 8 (d) 9
  7. 7.If x/4 + 14 = 19, what is x? (a) 62 (b) 20 (c) 5 (d) 132
  8. 8.If x/5 + 6 = 16, what is x? (a) 74 (b) 10 (c) 50 (d) 110
  9. 9.If 4x − 41 = 15, what is x? (a) 13 (b) 56 (c) 15 (d) 14
  10. 10.If 6x + 16 = 4x + 34, what is x? (a) 10 (b) 25 (c) 9 (d) 11
  11. 11.If 7x + 22 = 64, what is x? (a) 42 (b) 5 (c) 6 (d) 7
  12. 12.If x/4 + 7 = 19, what is x? (a) 12 (b) 69 (c) 48 (d) 104
  13. 13.If 4x + 6 = x + 42, what is x? (a) 13 (b) 14 (c) 16 (d) 12
  14. 14.If x/5 + 5 = 13, what is x? (a) 8 (b) 40 (c) 90 (d) 60
  15. 15.If 3x + 1 = x + 11, what is x? (a) 4 (b) 5 (c) 7 (d) 6
  16. 16.If x/2 + 3 = 5, what is x? (a) 2 (b) 7 (c) 4 (d) 16
  17. 17.If 9x − 16 = 11, what is x? (a) 2 (b) 27 (c) 3 (d) 4
  18. 18.If 8x − 17 = 39, what is x? (a) 7 (b) 8 (c) 56 (d) 6
  19. 19.If 2x + 26 = 56, what is x? (a) 15 (b) 16 (c) 41 (d) 30
  20. 20.If 9x + 3 = 30, what is x? (a) 27 (b) 2 (c) 3 (d) 4
  21. 21.If 5x + 13 = 4x + 22, what is x? (a) 9 (b) 1 (c) 35 (d) 10
  22. 22.If x/2 + 1 = 8, what is x? (a) 18 (b) 7 (c) 15 (d) 14
  23. 23.If 3x − 5 = 19, what is x? (a) 8 (b) 24 (c) 9 (d) 7
  24. 24.If 3x + 8 = 2x + 11, what is x? (a) 19 (b) 4 (c) 3 (d) 5
  25. 25.If 4x + 21 = 41, what is x? (a) 20 (b) 4 (c) 5 (d) 6
  26. 26.If 4x + 27 = 71, what is x? (a) 44 (b) 10 (c) 11 (d) 12
  27. 27.If x/5 + 11 = 16, what is x? (a) 5 (b) 135 (c) 25 (d) 69
  28. 28.If 9x + 16 = 2x + 51, what is x? (a) 4 (b) 7 (c) 5 (d) 6
  29. 29.If x/2 + 13 = 16, what is x? (a) 19 (b) 3 (c) 58 (d) 6
  30. 30.If 5x + 13 = x + 41, what is x? (a) 8 (b) 9 (c) 6 (d) 7
  31. 31.If 3x + 2 = 32, what is x? (a) 11 (b) 10 (c) 9 (d) 30
  32. 32.If 9x − 89 = 28, what is x? (a) 117 (b) 12 (c) 14 (d) 13
  33. 33.If 8x + 19 = 83, what is x? (a) 9 (b) 8 (c) 7 (d) 64
  34. 34.If 7x + 14 = 49, what is x? (a) 35 (b) 6 (c) 5 (d) 9
  35. 35.If x/2 + 2 = 5, what is x? (a) 3 (b) 14 (c) 8 (d) 6
  36. 36.If 8x + 20 = 36, what is x? (a) 2 (b) 3 (c) 7 (d) 16
  37. 37.If 6x + 11 = 77, what is x? (a) 12 (b) 10 (c) 66 (d) 11
  38. 38.If x/5 + 10 = 20, what is x? (a) 10 (b) 50 (c) 150 (d) 90
  39. 39.If x/6 + 6 = 14, what is x? (a) 120 (b) 78 (c) 8 (d) 48
  40. 40.If 5x − 31 = 14, what is x? (a) 10 (b) 8 (c) 45 (d) 9

Answer key

  1. 8
  2. 9
  3. 6
  4. 15
  5. 3
  6. 8
  7. 20
  8. 50
  9. 14
  10. 9
  11. 6
  12. 48
  13. 12
  14. 40
  15. 5
  16. 4
  17. 3
  18. 7
  19. 15
  20. 3
  21. 9
  22. 14
  23. 8
  24. 3
  25. 5
  26. 11
  27. 25
  28. 5
  29. 6
  30. 7
  31. 10
  32. 13
  33. 8
  34. 5
  35. 6
  36. 2
  37. 11
  38. 50
  39. 48
  40. 9

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