← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 254 · 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 2x − 1 = 3, what is x? (a) 3 (b) 1 (c) 4 (d) 2
  2. 2.If x/6 + 4 = 7, what is x? (a) 3 (b) 38 (c) 18 (d) 66
  3. 3.If 7x + 13 = x + 73, what is x? (a) 12 (b) 10 (c) 9 (d) 11
  4. 4.If 4x + 19 = 43, what is x? (a) 7 (b) 5 (c) 6 (d) 24
  5. 5.If 7x + 3 = 6x + 14, what is x? (a) 17 (b) 12 (c) 13 (d) 11
  6. 6.If x/5 + 2 = 13, what is x? (a) 75 (b) 11 (c) 55 (d) 63
  7. 7.If 4x + 18 = 2x + 20, what is x? (a) 2 (b) 1 (c) 19 (d) 3
  8. 8.If 3x − 15 = 30, what is x? (a) 15 (b) 45 (c) 5 (d) 16
  9. 9.If 6x + 17 = 3x + 26, what is x? (a) 5 (b) 4 (c) 3 (d) 1
  10. 10.If 9x + 25 = 52, what is x? (a) 2 (b) 4 (c) 3 (d) 27
  11. 11.If 8x − 52 = 12, what is x? (a) 64 (b) 9 (c) 7 (d) 8
  12. 12.If 7x + 16 = 100, what is x? (a) 13 (b) 11 (c) 12 (d) 84
  13. 13.If 4x + 1 = 41, what is x? (a) 10 (b) 11 (c) 40 (d) 9
  14. 14.If 7x + 7 = 2x + 32, what is x? (a) 5 (b) 6 (c) 4 (d) 7
  15. 15.If 2x + 2 = 24, what is x? (a) 11 (b) 13 (c) 22 (d) 12
  16. 16.If 5x − 37 = 8, what is x? (a) 8 (b) 10 (c) 9 (d) 45
  17. 17.If 5x + 18 = 4x + 21, what is x? (a) 5 (b) 39 (c) 4 (d) 3
  18. 18.If 7x + 12 = 110, what is x? (a) 13 (b) 98 (c) 14 (d) 15
  19. 19.If 6x − 6 = 12, what is x? (a) 1 (b) 18 (c) 4 (d) 3
  20. 20.If 8x + 20 = 6x + 26, what is x? (a) 5 (b) 4 (c) 3 (d) 23
  21. 21.If 5x − 29 = 16, what is x? (a) 9 (b) 8 (c) 45 (d) 10
  22. 22.If 4x − 30 = 14, what is x? (a) 11 (b) 44 (c) 10 (d) 12
  23. 23.If x/4 + 6 = 13, what is x? (a) 76 (b) 46 (c) 28 (d) 7
  24. 24.If 5x + 8 = 68, what is x? (a) 60 (b) 12 (c) 11 (d) 13
  25. 25.If 6x + 6 = 90, what is x? (a) 14 (b) 84 (c) 16 (d) 15
  26. 26.If 2x + 12 = 22, what is x? (a) 6 (b) 10 (c) 17 (d) 5
  27. 27.If 5x + 5 = 65, what is x? (a) 60 (b) 13 (c) 12 (d) 14
  28. 28.If 8x + 10 = 26, what is x? (a) 1 (b) 3 (c) 16 (d) 2
  29. 29.If 3x + 8 = 2x + 19, what is x? (a) 11 (b) 13 (c) 12 (d) 27
  30. 30.If 3x − 6 = 21, what is x? (a) 10 (b) 27 (c) 5 (d) 9
  31. 31.If x/5 + 1 = 9, what is x? (a) 8 (b) 50 (c) 44 (d) 40
  32. 32.If x/2 + 8 = 13, what is x? (a) 5 (b) 18 (c) 42 (d) 10
  33. 33.If 2x − 15 = 9, what is x? (a) 24 (b) 13 (c) 12 (d) 11
  34. 34.If 7x + 5 = x + 65, what is x? (a) 9 (b) 12 (c) 10 (d) 11
  35. 35.If 5x − 38 = 7, what is x? (a) 45 (b) 10 (c) 8 (d) 9
  36. 36.If x/3 + 7 = 19, what is x? (a) 12 (b) 36 (c) 78 (d) 50
  37. 37.If x/4 + 13 = 25, what is x? (a) 152 (b) 87 (c) 12 (d) 48
  38. 38.If 6x − 7 = 23, what is x? (a) 5 (b) 30 (c) 6 (d) 4
  39. 39.If x/3 + 4 = 6, what is x? (a) 2 (b) 14 (c) 30 (d) 6
  40. 40.If 5x − 16 = 59, what is x? (a) 75 (b) 15 (c) 14 (d) 16

Answer key

  1. 2
  2. 18
  3. 10
  4. 6
  5. 11
  6. 55
  7. 1
  8. 15
  9. 3
  10. 3
  11. 8
  12. 12
  13. 10
  14. 5
  15. 11
  16. 9
  17. 3
  18. 14
  19. 3
  20. 3
  21. 9
  22. 11
  23. 28
  24. 12
  25. 14
  26. 5
  27. 12
  28. 2
  29. 11
  30. 9
  31. 40
  32. 10
  33. 12
  34. 10
  35. 9
  36. 36
  37. 48
  38. 5
  39. 6
  40. 15

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