← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 31 · 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 4x + 13 = 61, what is x? (a) 48 (b) 11 (c) 13 (d) 12
  2. 2.If 8x + 6 = 22, what is x? (a) 2 (b) 16 (c) 1 (d) 3
  3. 3.If 3x + 6 = 21, what is x? (a) 5 (b) 6 (c) 9 (d) 15
  4. 4.If x/6 + 7 = 9, what is x? (a) 96 (b) 12 (c) 47 (d) 2
  5. 5.If x/2 + 2 = 7, what is x? (a) 18 (b) 12 (c) 10 (d) 5
  6. 6.If 2x − 17 = 9, what is x? (a) 26 (b) 13 (c) 14 (d) 12
  7. 7.If 5x + 17 = 2x + 32, what is x? (a) 4 (b) 6 (c) 5 (d) 7
  8. 8.If 2x − 2 = 4, what is x? (a) 1 (b) 4 (c) 6 (d) 3
  9. 9.If 3x + 4 = 22, what is x? (a) 7 (b) 6 (c) 18 (d) 5
  10. 10.If x/5 + 8 = 19, what is x? (a) 55 (b) 135 (c) 11 (d) 87
  11. 11.If 4x − 18 = 38, what is x? (a) 5 (b) 15 (c) 14 (d) 56
  12. 12.If 5x + 4 = x + 40, what is x? (a) 11 (b) 6 (c) 9 (d) 10
  13. 13.If x/6 + 7 = 16, what is x? (a) 138 (b) 9 (c) 54 (d) 89
  14. 14.If 6x + 1 = 79, what is x? (a) 12 (b) 13 (c) 78 (d) 14
  15. 15.If 8x + 4 = 108, what is x? (a) 13 (b) 14 (c) 104 (d) 12
  16. 16.If 6x − 4 = 86, what is x? (a) 15 (b) 16 (c) 90 (d) 14
  17. 17.If x/3 + 3 = 13, what is x? (a) 36 (b) 10 (c) 48 (d) 30
  18. 18.If 5x − 3 = 27, what is x? (a) 30 (b) 5 (c) 6 (d) 7
  19. 19.If 6x + 17 = 65, what is x? (a) 7 (b) 48 (c) 9 (d) 8
  20. 20.If 9x + 9 = 99, what is x? (a) 10 (b) 11 (c) 90 (d) 12
  21. 21.If x/5 + 4 = 6, what is x? (a) 2 (b) 26 (c) 10 (d) 50
  22. 22.If 7x − 8 = 27, what is x? (a) 35 (b) 6 (c) 4 (d) 5
  23. 23.If 3x + 9 = 2x + 15, what is x? (a) 8 (b) 7 (c) 6 (d) 24
  24. 24.If x/5 + 1 = 12, what is x? (a) 11 (b) 65 (c) 59 (d) 55
  25. 25.If 2x − 17 = 5, what is x? (a) 22 (b) 12 (c) 11 (d) 10
  26. 26.If 3x + 5 = 2x + 14, what is x? (a) 10 (b) 11 (c) 9 (d) 19
  27. 27.If 8x + 1 = 5x + 13, what is x? (a) 6 (b) 4 (c) 5 (d) 3
  28. 28.If x/2 + 15 = 20, what is x? (a) 5 (b) 70 (c) 25 (d) 10
  29. 29.If 8x − 5 = 27, what is x? (a) 4 (b) 5 (c) 3 (d) 32
  30. 30.If x/3 + 9 = 17, what is x? (a) 78 (b) 8 (c) 24 (d) 42
  31. 31.If 5x + 13 = 63, what is x? (a) 9 (b) 11 (c) 50 (d) 10
  32. 32.If x/2 + 11 = 21, what is x? (a) 31 (b) 64 (c) 20 (d) 10
  33. 33.If 8x + 2 = 34, what is x? (a) 4 (b) 32 (c) 3 (d) 5
  34. 34.If 9x + 1 = 37, what is x? (a) 4 (b) 3 (c) 36 (d) 5
  35. 35.If x/4 + 3 = 9, what is x? (a) 6 (b) 33 (c) 48 (d) 24
  36. 36.If 7x + 24 = 52, what is x? (a) 28 (b) 5 (c) 4 (d) 3
  37. 37.If 6x + 3 = 4x + 7, what is x? (a) 2 (b) 4 (c) 3 (d) 5
  38. 38.If 9x − 20 = 7, what is x? (a) 4 (b) 2 (c) 3 (d) 27
  39. 39.If 9x + 18 = 7x + 34, what is x? (a) 8 (b) 26 (c) 9 (d) 1
  40. 40.If 5x − 17 = 43, what is x? (a) 12 (b) 11 (c) 13 (d) 60

Answer key

  1. 12
  2. 2
  3. 5
  4. 12
  5. 10
  6. 13
  7. 5
  8. 3
  9. 6
  10. 55
  11. 14
  12. 9
  13. 54
  14. 13
  15. 13
  16. 15
  17. 30
  18. 6
  19. 8
  20. 10
  21. 10
  22. 5
  23. 6
  24. 55
  25. 11
  26. 9
  27. 4
  28. 10
  29. 4
  30. 24
  31. 10
  32. 20
  33. 4
  34. 4
  35. 24
  36. 4
  37. 2
  38. 3
  39. 8
  40. 12

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