← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 28 · 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/2 + 14 = 18, what is x? (a) 8 (b) 4 (c) 22 (d) 64
  2. 2.If 5x + 8 = 4x + 15, what is x? (a) 9 (b) 7 (c) 8 (d) 23
  3. 3.If 4x − 10 = 30, what is x? (a) 5 (b) 10 (c) 11 (d) 40
  4. 4.If 8x − 2 = 102, what is x? (a) 13 (b) 14 (c) 12 (d) 104
  5. 5.If 3x − 35 = 7, what is x? (a) 42 (b) 15 (c) 14 (d) 13
  6. 6.If 7x − 44 = 33, what is x? (a) 10 (b) 12 (c) 77 (d) 11
  7. 7.If 9x − 20 = 52, what is x? (a) 72 (b) 9 (c) 7 (d) 8
  8. 8.If x/4 + 6 = 15, what is x? (a) 54 (b) 84 (c) 9 (d) 36
  9. 9.If 8x + 8 = 6x + 12, what is x? (a) 10 (b) 3 (c) 4 (d) 2
  10. 10.If 9x − 35 = 1, what is x? (a) 5 (b) 3 (c) 36 (d) 4
  11. 11.If 8x + 9 = x + 79, what is x? (a) 9 (b) 11 (c) 10 (d) 12
  12. 12.If 5x − 33 = 22, what is x? (a) 55 (b) 12 (c) 11 (d) 10
  13. 13.If 3x + 5 = 2x + 10, what is x? (a) 6 (b) 5 (c) 1 (d) 15
  14. 14.If 4x + 6 = 2x + 16, what is x? (a) 5 (b) 6 (c) 11 (d) 7
  15. 15.If 7x + 9 = 79, what is x? (a) 11 (b) 9 (c) 10 (d) 70
  16. 16.If 6x + 20 = 3x + 50, what is x? (a) 11 (b) 9 (c) 12 (d) 10
  17. 17.If 2x + 20 = 50, what is x? (a) 16 (b) 30 (c) 35 (d) 15
  18. 18.If 9x − 53 = 28, what is x? (a) 10 (b) 8 (c) 81 (d) 9
  19. 19.If x/3 + 1 = 6, what is x? (a) 15 (b) 21 (c) 5 (d) 17
  20. 20.If 2x + 19 = 43, what is x? (a) 13 (b) 24 (c) 12 (d) 31
  21. 21.If 2x + 9 = 23, what is x? (a) 14 (b) 8 (c) 16 (d) 7
  22. 22.If 9x + 2 = 29, what is x? (a) 4 (b) 3 (c) 2 (d) 27
  23. 23.If x/5 + 1 = 8, what is x? (a) 39 (b) 35 (c) 7 (d) 45
  24. 24.If 3x + 11 = 2x + 23, what is x? (a) 13 (b) 14 (c) 34 (d) 12
  25. 25.If 3x + 14 = 41, what is x? (a) 27 (b) 8 (c) 9 (d) 10
  26. 26.If 4x + 13 = 2x + 21, what is x? (a) 6 (b) 17 (c) 4 (d) 5
  27. 27.If x/4 + 13 = 24, what is x? (a) 148 (b) 11 (c) 44 (d) 83
  28. 28.If 9x + 18 = x + 82, what is x? (a) 10 (b) 8 (c) 7 (d) 9
  29. 29.If 7x − 40 = 37, what is x? (a) 77 (b) 10 (c) 11 (d) 12
  30. 30.If x/2 + 9 = 15, what is x? (a) 21 (b) 6 (c) 12 (d) 48
  31. 31.If 3x + 11 = x + 17, what is x? (a) 3 (b) 14 (c) 5 (d) 4
  32. 32.If 4x + 21 = 45, what is x? (a) 7 (b) 6 (c) 24 (d) 5
  33. 33.If 6x − 46 = 14, what is x? (a) 9 (b) 10 (c) 60 (d) 11
  34. 34.If 7x + 29 = 57, what is x? (a) 3 (b) 4 (c) 28 (d) 5
  35. 35.If 5x + 22 = 57, what is x? (a) 8 (b) 35 (c) 7 (d) 6
  36. 36.If 6x − 14 = 22, what is x? (a) 36 (b) 7 (c) 6 (d) 5
  37. 37.If 6x + 2 = x + 42, what is x? (a) 8 (b) 7 (c) 10 (d) 9
  38. 38.If 7x + 5 = 89, what is x? (a) 13 (b) 84 (c) 11 (d) 12
  39. 39.If x/2 + 7 = 15, what is x? (a) 44 (b) 23 (c) 8 (d) 16
  40. 40.If 4x − 1 = 55, what is x? (a) 14 (b) 15 (c) 13 (d) 56

Answer key

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

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