← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 660 · 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 3x + 6 = x + 8, what is x? (a) 3 (b) 1 (c) 2 (d) 7
  2. 2.If 3x + 3 = x + 7, what is x? (a) 3 (b) 1 (c) 2 (d) 5
  3. 3.If x/2 + 11 = 13, what is x? (a) 48 (b) 15 (c) 2 (d) 4
  4. 4.If 4x − 10 = 18, what is x? (a) 2 (b) 7 (c) 8 (d) 28
  5. 5.If 3x − 2 = 7, what is x? (a) 9 (b) 3 (c) 4 (d) 2
  6. 6.If 9x + 2 = 20, what is x? (a) 18 (b) 1 (c) 3 (d) 2
  7. 7.If 6x + 22 = 46, what is x? (a) 4 (b) 3 (c) 5 (d) 24
  8. 8.If 4x + 4 = 16, what is x? (a) 4 (b) 5 (c) 3 (d) 12
  9. 9.If 3x + 4 = 2x + 12, what is x? (a) 10 (b) 9 (c) 8 (d) 16
  10. 10.If 4x + 18 = 3x + 25, what is x? (a) 43 (b) 8 (c) 1 (d) 7
  11. 11.If 8x + 14 = 62, what is x? (a) 48 (b) 7 (c) 5 (d) 6
  12. 12.If 5x + 18 = 63, what is x? (a) 45 (b) 8 (c) 10 (d) 9
  13. 13.If 6x + 16 = 2x + 48, what is x? (a) 8 (b) 16 (c) 4 (d) 9
  14. 14.If 3x + 17 = 2x + 26, what is x? (a) 10 (b) 43 (c) 9 (d) 11
  15. 15.If x/2 + 12 = 16, what is x? (a) 56 (b) 8 (c) 4 (d) 20
  16. 16.If 9x + 8 = 3x + 56, what is x? (a) 4 (b) 10 (c) 9 (d) 8
  17. 17.If 7x + 8 = 43, what is x? (a) 6 (b) 5 (c) 4 (d) 35
  18. 18.If x/2 + 8 = 14, what is x? (a) 12 (b) 20 (c) 6 (d) 44
  19. 19.If 5x + 4 = 24, what is x? (a) 20 (b) 5 (c) 3 (d) 4
  20. 20.If 3x + 25 = 40, what is x? (a) 4 (b) 6 (c) 15 (d) 5
  21. 21.If x/4 + 12 = 15, what is x? (a) 108 (b) 3 (c) 48 (d) 12
  22. 22.If x/2 + 15 = 24, what is x? (a) 18 (b) 78 (c) 9 (d) 33
  23. 23.If x/2 + 10 = 12, what is x? (a) 2 (b) 14 (c) 4 (d) 44
  24. 24.If x/6 + 4 = 15, what is x? (a) 11 (b) 86 (c) 114 (d) 66
  25. 25.If 6x + 19 = 3x + 22, what is x? (a) 1 (b) 2 (c) 4 (d) 3
  26. 26.If 8x − 44 = 76, what is x? (a) 120 (b) 4 (c) 16 (d) 15
  27. 27.If 7x − 89 = 2, what is x? (a) 12 (b) 91 (c) 14 (d) 13
  28. 28.If 4x + 28 = 40, what is x? (a) 4 (b) 17 (c) 3 (d) 12
  29. 29.If x/6 + 5 = 8, what is x? (a) 78 (b) 18 (c) 3 (d) 43
  30. 30.If x/5 + 6 = 14, what is x? (a) 40 (b) 8 (c) 64 (d) 100
  31. 31.If x/4 + 2 = 5, what is x? (a) 3 (b) 12 (c) 18 (d) 28
  32. 32.If 4x − 34 = 6, what is x? (a) 9 (b) 10 (c) 40 (d) 11
  33. 33.If x/4 + 1 = 4, what is x? (a) 15 (b) 12 (c) 3 (d) 20
  34. 34.If 5x + 20 = x + 64, what is x? (a) 21 (b) 11 (c) 13 (d) 12
  35. 35.If 5x − 6 = 4, what is x? (a) 2 (b) 1 (c) 10 (d) 3
  36. 36.If 9x + 20 = 3x + 32, what is x? (a) 3 (b) 4 (c) 1 (d) 2
  37. 37.If 9x + 12 = 5x + 36, what is x? (a) 8 (b) 6 (c) 12 (d) 7
  38. 38.If x/5 + 8 = 12, what is x? (a) 20 (b) 4 (c) 52 (d) 100
  39. 39.If 7x − 17 = 18, what is x? (a) 6 (b) 4 (c) 35 (d) 5
  40. 40.If x/4 + 15 = 22, what is x? (a) 148 (b) 7 (c) 73 (d) 28

Answer key

  1. 1
  2. 2
  3. 4
  4. 7
  5. 3
  6. 2
  7. 4
  8. 3
  9. 8
  10. 7
  11. 6
  12. 9
  13. 8
  14. 9
  15. 8
  16. 8
  17. 5
  18. 12
  19. 4
  20. 5
  21. 12
  22. 18
  23. 4
  24. 66
  25. 1
  26. 15
  27. 13
  28. 3
  29. 18
  30. 40
  31. 12
  32. 10
  33. 12
  34. 11
  35. 2
  36. 2
  37. 6
  38. 20
  39. 5
  40. 28

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