← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 550 · 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 5x + 29 = 39, what is x? (a) 2 (b) 3 (c) 1 (d) 10
  2. 2.If 8x + 10 = 6x + 24, what is x? (a) 1 (b) 17 (c) 7 (d) 8
  3. 3.If 5x − 11 = 4, what is x? (a) 15 (b) 4 (c) 3 (d) 2
  4. 4.If 4x + 25 = 77, what is x? (a) 52 (b) 14 (c) 13 (d) 12
  5. 5.If 4x − 4 = 4, what is x? (a) 3 (b) 8 (c) 2 (d) 1
  6. 6.If 6x + 3 = 57, what is x? (a) 10 (b) 8 (c) 54 (d) 9
  7. 7.If 4x − 36 = 16, what is x? (a) 13 (b) 12 (c) 14 (d) 52
  8. 8.If x/2 + 3 = 6, what is x? (a) 3 (b) 9 (c) 6 (d) 18
  9. 9.If x/3 + 13 = 18, what is x? (a) 41 (b) 93 (c) 5 (d) 15
  10. 10.If x/4 + 1 = 5, what is x? (a) 4 (b) 16 (c) 24 (d) 19
  11. 11.If 8x − 6 = 18, what is x? (a) 4 (b) 3 (c) 2 (d) 24
  12. 12.If x/5 + 8 = 11, what is x? (a) 3 (b) 95 (c) 15 (d) 47
  13. 13.If x/4 + 11 = 17, what is x? (a) 24 (b) 112 (c) 6 (d) 57
  14. 14.If 5x + 6 = x + 14, what is x? (a) 2 (b) 3 (c) 5 (d) 4
  15. 15.If 9x + 2 = 137, what is x? (a) 16 (b) 14 (c) 135 (d) 15
  16. 16.If 4x + 15 = 3x + 18, what is x? (a) 3 (b) 33 (c) 5 (d) 4
  17. 17.If 9x − 17 = 55, what is x? (a) 72 (b) 7 (c) 9 (d) 8
  18. 18.If x/3 + 4 = 14, what is x? (a) 10 (b) 54 (c) 30 (d) 38
  19. 19.If 2x − 6 = 2, what is x? (a) 8 (b) 5 (c) 4 (d) 3
  20. 20.If 7x + 5 = 3x + 37, what is x? (a) 9 (b) 7 (c) 8 (d) 10
  21. 21.If 8x + 7 = 103, what is x? (a) 96 (b) 12 (c) 11 (d) 13
  22. 22.If 4x + 18 = 70, what is x? (a) 13 (b) 14 (c) 22 (d) 52
  23. 23.If 2x + 18 = 48, what is x? (a) 33 (b) 30 (c) 16 (d) 15
  24. 24.If x/5 + 2 = 11, what is x? (a) 45 (b) 9 (c) 53 (d) 65
  25. 25.If 2x + 23 = 47, what is x? (a) 35 (b) 13 (c) 12 (d) 24
  26. 26.If 3x − 17 = 10, what is x? (a) 10 (b) 9 (c) 8 (d) 27
  27. 27.If 7x − 6 = 22, what is x? (a) 4 (b) 28 (c) 3 (d) 5
  28. 28.If 8x + 2 = 2x + 14, what is x? (a) 3 (b) 2 (c) 1 (d) 4
  29. 29.If 2x − 4 = 16, what is x? (a) 10 (b) 11 (c) 6 (d) 20
  30. 30.If 2x + 9 = 29, what is x? (a) 20 (b) 19 (c) 11 (d) 10
  31. 31.If 6x + 20 = x + 65, what is x? (a) 9 (b) 17 (c) 11 (d) 10
  32. 32.If x/2 + 11 = 16, what is x? (a) 5 (b) 10 (c) 54 (d) 21
  33. 33.If 5x + 1 = 2x + 10, what is x? (a) 5 (b) 2 (c) 3 (d) 4
  34. 34.If 3x + 5 = 2x + 15, what is x? (a) 20 (b) 11 (c) 2 (d) 10
  35. 35.If x/6 + 7 = 12, what is x? (a) 114 (b) 65 (c) 30 (d) 5
  36. 36.If x/5 + 10 = 16, what is x? (a) 30 (b) 70 (c) 130 (d) 6
  37. 37.If 7x + 7 = x + 31, what is x? (a) 4 (b) 3 (c) 6 (d) 5
  38. 38.If 3x − 16 = 2, what is x? (a) 5 (b) 7 (c) 6 (d) 18
  39. 39.If 8x + 2 = 58, what is x? (a) 8 (b) 6 (c) 7 (d) 56
  40. 40.If 9x − 7 = 20, what is x? (a) 4 (b) 27 (c) 3 (d) 2

Answer key

  1. 2
  2. 7
  3. 3
  4. 13
  5. 2
  6. 9
  7. 13
  8. 6
  9. 15
  10. 16
  11. 3
  12. 15
  13. 24
  14. 2
  15. 15
  16. 3
  17. 8
  18. 30
  19. 4
  20. 8
  21. 12
  22. 13
  23. 15
  24. 45
  25. 12
  26. 9
  27. 4
  28. 2
  29. 10
  30. 10
  31. 9
  32. 10
  33. 3
  34. 10
  35. 30
  36. 30
  37. 4
  38. 6
  39. 7
  40. 3

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