← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 55 · 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 7x − 16 = 26, what is x? (a) 5 (b) 6 (c) 7 (d) 42
  2. 2.If 8x + 17 = 81, what is x? (a) 8 (b) 7 (c) 9 (d) 64
  3. 3.If 3x + 3 = x + 9, what is x? (a) 6 (b) 3 (c) 5 (d) 4
  4. 4.If 6x + 1 = 2x + 5, what is x? (a) 4 (b) 3 (c) 1 (d) 2
  5. 5.If 6x − 33 = 39, what is x? (a) 1 (b) 13 (c) 72 (d) 12
  6. 6.If 9x + 27 = 72, what is x? (a) 6 (b) 45 (c) 5 (d) 11
  7. 7.If 4x + 9 = 57, what is x? (a) 13 (b) 48 (c) 12 (d) 11
  8. 8.If 9x + 12 = 3x + 60, what is x? (a) 12 (b) 9 (c) 8 (d) 4
  9. 9.If 4x − 18 = 42, what is x? (a) 6 (b) 60 (c) 15 (d) 16
  10. 10.If x/4 + 11 = 19, what is x? (a) 32 (b) 65 (c) 120 (d) 8
  11. 11.If 6x − 29 = 1, what is x? (a) 5 (b) 4 (c) 30 (d) 6
  12. 12.If 6x + 2 = 14, what is x? (a) 3 (b) 2 (c) 1 (d) 12
  13. 13.If 4x + 8 = x + 14, what is x? (a) 2 (b) 4 (c) 1 (d) 3
  14. 14.If 2x − 3 = 3, what is x? (a) 4 (b) 3 (c) 2 (d) 6
  15. 15.If 4x + 18 = x + 54, what is x? (a) 13 (b) 12 (c) 14 (d) 24
  16. 16.If x/4 + 4 = 7, what is x? (a) 24 (b) 12 (c) 3 (d) 44
  17. 17.If 4x + 11 = 3x + 12, what is x? (a) 2 (b) 23 (c) 3 (d) 1
  18. 18.If 6x + 16 = x + 41, what is x? (a) 5 (b) 4 (c) 6 (d) 7
  19. 19.If x/5 + 3 = 14, what is x? (a) 85 (b) 67 (c) 55 (d) 11
  20. 20.If x/6 + 10 = 12, what is x? (a) 12 (b) 2 (c) 62 (d) 132
  21. 21.If 2x + 20 = 48, what is x? (a) 14 (b) 15 (c) 28 (d) 34
  22. 22.If 4x − 2 = 6, what is x? (a) 8 (b) 2 (c) 1 (d) 3
  23. 23.If 2x − 8 = 8, what is x? (a) 7 (b) 9 (c) 8 (d) 16
  24. 24.If 4x + 1 = 2x + 19, what is x? (a) 3 (b) 11 (c) 9 (d) 10
  25. 25.If 7x + 3 = 38, what is x? (a) 6 (b) 4 (c) 5 (d) 35
  26. 26.If 5x + 28 = 103, what is x? (a) 14 (b) 15 (c) 75 (d) 16
  27. 27.If x/2 + 13 = 15, what is x? (a) 4 (b) 17 (c) 56 (d) 2
  28. 28.If x/4 + 4 = 11, what is x? (a) 60 (b) 40 (c) 7 (d) 28
  29. 29.If 9x − 2 = 61, what is x? (a) 6 (b) 8 (c) 7 (d) 63
  30. 30.If x/4 + 7 = 19, what is x? (a) 48 (b) 12 (c) 104 (d) 69
  31. 31.If x/4 + 7 = 17, what is x? (a) 61 (b) 96 (c) 10 (d) 40
  32. 32.If 7x − 11 = 94, what is x? (a) 15 (b) 16 (c) 14 (d) 105
  33. 33.If 9x − 3 = 42, what is x? (a) 6 (b) 4 (c) 45 (d) 5
  34. 34.If 7x + 6 = 6x + 17, what is x? (a) 13 (b) 23 (c) 12 (d) 11
  35. 35.If 6x + 22 = 112, what is x? (a) 16 (b) 90 (c) 15 (d) 14
  36. 36.If x/3 + 12 = 14, what is x? (a) 2 (b) 30 (c) 78 (d) 6
  37. 37.If 7x − 36 = 55, what is x? (a) 13 (b) 14 (c) 91 (d) 12
  38. 38.If 7x + 1 = 3x + 37, what is x? (a) 11 (b) 9 (c) 8 (d) 10
  39. 39.If 7x + 14 = 6x + 15, what is x? (a) 2 (b) 3 (c) 1 (d) 29
  40. 40.If 3x + 13 = x + 21, what is x? (a) 5 (b) 2 (c) 17 (d) 4

Answer key

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

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