← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 268 · 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 + 15 = x + 45, what is x? (a) 10 (b) 6 (c) 5 (d) 7
  2. 2.If 2x + 20 = 50, what is x? (a) 35 (b) 30 (c) 16 (d) 15
  3. 3.If x/4 + 3 = 15, what is x? (a) 72 (b) 57 (c) 48 (d) 12
  4. 4.If 7x + 14 = 2x + 54, what is x? (a) 8 (b) 10 (c) 9 (d) 7
  5. 5.If 3x + 30 = 51, what is x? (a) 7 (b) 27 (c) 21 (d) 8
  6. 6.If 4x − 24 = 28, what is x? (a) 14 (b) 13 (c) 1 (d) 52
  7. 7.If 7x + 15 = 2x + 35, what is x? (a) 4 (b) 5 (c) 6 (d) 10
  8. 8.If 4x + 22 = 30, what is x? (a) 8 (b) 13 (c) 2 (d) 3
  9. 9.If x/5 + 14 = 23, what is x? (a) 45 (b) 9 (c) 185 (d) 101
  10. 10.If 6x + 26 = 38, what is x? (a) 3 (b) 12 (c) 2 (d) 1
  11. 11.If x/3 + 6 = 8, what is x? (a) 6 (b) 18 (c) 2 (d) 42
  12. 12.If 5x + 2 = x + 6, what is x? (a) 2 (b) 3 (c) 4 (d) 1
  13. 13.If 3x + 6 = 39, what is x? (a) 15 (b) 33 (c) 12 (d) 11
  14. 14.If x/2 + 3 = 10, what is x? (a) 14 (b) 26 (c) 7 (d) 17
  15. 15.If 7x + 5 = 6x + 13, what is x? (a) 18 (b) 10 (c) 9 (d) 8
  16. 16.If x/2 + 12 = 16, what is x? (a) 56 (b) 20 (c) 8 (d) 4
  17. 17.If 6x + 13 = 5x + 22, what is x? (a) 35 (b) 11 (c) 10 (d) 9
  18. 18.If 8x − 14 = 10, what is x? (a) 4 (b) 24 (c) 3 (d) 2
  19. 19.If 9x + 20 = 6x + 23, what is x? (a) 1 (b) 3 (c) 4 (d) 2
  20. 20.If 2x − 8 = 2, what is x? (a) 5 (b) 4 (c) 6 (d) 10
  21. 21.If 7x + 14 = 2x + 29, what is x? (a) 2 (b) 4 (c) 5 (d) 3
  22. 22.If 6x + 20 = 56, what is x? (a) 7 (b) 36 (c) 6 (d) 5
  23. 23.If x/4 + 4 = 8, what is x? (a) 16 (b) 4 (c) 48 (d) 28
  24. 24.If 9x + 13 = 7x + 15, what is x? (a) 2 (b) 14 (c) 3 (d) 1
  25. 25.If 6x − 25 = 23, what is x? (a) 48 (b) 9 (c) 8 (d) 7
  26. 26.If 4x + 7 = 3x + 9, what is x? (a) 3 (b) 16 (c) 2 (d) 4
  27. 27.If 3x − 13 = 2, what is x? (a) 4 (b) 5 (c) 15 (d) 6
  28. 28.If x/6 + 12 = 19, what is x? (a) 102 (b) 186 (c) 42 (d) 7
  29. 29.If x/3 + 9 = 13, what is x? (a) 66 (b) 4 (c) 12 (d) 30
  30. 30.If 7x + 14 = 119, what is x? (a) 105 (b) 15 (c) 19 (d) 16
  31. 31.If 7x + 5 = 4x + 35, what is x? (a) 9 (b) 12 (c) 11 (d) 10
  32. 32.If 5x + 9 = 3x + 33, what is x? (a) 21 (b) 3 (c) 13 (d) 12
  33. 33.If 7x + 3 = 5x + 17, what is x? (a) 8 (b) 7 (c) 10 (d) 9
  34. 34.If 4x + 9 = x + 27, what is x? (a) 12 (b) 6 (c) 8 (d) 7
  35. 35.If 3x + 13 = x + 37, what is x? (a) 6 (b) 25 (c) 12 (d) 13
  36. 36.If 8x − 33 = 39, what is x? (a) 9 (b) 72 (c) 10 (d) 8
  37. 37.If 9x + 10 = 127, what is x? (a) 117 (b) 14 (c) 12 (d) 13
  38. 38.If 2x + 20 = 30, what is x? (a) 6 (b) 10 (c) 25 (d) 5
  39. 39.If x/3 + 4 = 15, what is x? (a) 11 (b) 33 (c) 57 (d) 41
  40. 40.If 3x + 20 = 47, what is x? (a) 9 (b) 27 (c) 10 (d) 8

Answer key

  1. 5
  2. 15
  3. 48
  4. 8
  5. 7
  6. 13
  7. 4
  8. 2
  9. 45
  10. 2
  11. 6
  12. 1
  13. 11
  14. 14
  15. 8
  16. 8
  17. 9
  18. 3
  19. 1
  20. 5
  21. 3
  22. 6
  23. 16
  24. 1
  25. 8
  26. 2
  27. 5
  28. 42
  29. 12
  30. 15
  31. 10
  32. 12
  33. 7
  34. 6
  35. 12
  36. 9
  37. 13
  38. 5
  39. 33
  40. 9

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