← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 162 · 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 + 14 = 2x + 23, what is x? (a) 10 (b) 11 (c) 37 (d) 9
  2. 2.If 9x + 5 = 3x + 11, what is x? (a) 2 (b) 4 (c) 3 (d) 1
  3. 3.If 2x − 5 = 15, what is x? (a) 5 (b) 20 (c) 11 (d) 10
  4. 4.If 5x − 5 = 20, what is x? (a) 6 (b) 3 (c) 25 (d) 5
  5. 5.If 7x − 56 = 7, what is x? (a) 10 (b) 9 (c) 63 (d) 8
  6. 6.If 5x + 30 = 50, what is x? (a) 20 (b) 16 (c) 5 (d) 4
  7. 7.If 6x + 17 = x + 37, what is x? (a) 5 (b) 3 (c) 6 (d) 4
  8. 8.If x/5 + 2 = 6, what is x? (a) 4 (b) 28 (c) 40 (d) 20
  9. 9.If 3x − 12 = 30, what is x? (a) 42 (b) 6 (c) 15 (d) 14
  10. 10.If 3x + 4 = x + 14, what is x? (a) 6 (b) 7 (c) 5 (d) 9
  11. 11.If 4x + 5 = 2x + 21, what is x? (a) 9 (b) 10 (c) 13 (d) 8
  12. 12.If 2x + 9 = 15, what is x? (a) 4 (b) 3 (c) 6 (d) 12
  13. 13.If 3x + 10 = x + 14, what is x? (a) 1 (b) 3 (c) 2 (d) 12
  14. 14.If 5x + 6 = 36, what is x? (a) 7 (b) 30 (c) 5 (d) 6
  15. 15.If 5x + 14 = 34, what is x? (a) 5 (b) 4 (c) 3 (d) 20
  16. 16.If 7x + 26 = 68, what is x? (a) 7 (b) 6 (c) 5 (d) 42
  17. 17.If 3x + 15 = 24, what is x? (a) 4 (b) 3 (c) 13 (d) 9
  18. 18.If x/3 + 1 = 11, what is x? (a) 32 (b) 30 (c) 10 (d) 36
  19. 19.If 5x + 17 = 3x + 31, what is x? (a) 24 (b) 9 (c) 8 (d) 7
  20. 20.If 3x − 7 = 17, what is x? (a) 7 (b) 24 (c) 9 (d) 8
  21. 21.If 3x + 1 = 22, what is x? (a) 6 (b) 7 (c) 8 (d) 21
  22. 22.If 9x + 9 = 108, what is x? (a) 12 (b) 11 (c) 13 (d) 99
  23. 23.If 2x − 3 = 11, what is x? (a) 7 (b) 8 (c) 4 (d) 14
  24. 24.If 9x + 15 = 42, what is x? (a) 27 (b) 4 (c) 2 (d) 3
  25. 25.If 4x + 17 = x + 41, what is x? (a) 9 (b) 7 (c) 10 (d) 8
  26. 26.If 2x − 6 = 12, what is x? (a) 9 (b) 3 (c) 10 (d) 18
  27. 27.If 2x + 10 = 32, what is x? (a) 11 (b) 21 (c) 22 (d) 12
  28. 28.If 3x + 11 = 56, what is x? (a) 16 (b) 15 (c) 45 (d) 14
  29. 29.If 8x + 25 = 89, what is x? (a) 9 (b) 64 (c) 7 (d) 8
  30. 30.If 4x + 4 = 3x + 11, what is x? (a) 8 (b) 15 (c) 1 (d) 7
  31. 31.If x/6 + 15 = 18, what is x? (a) 18 (b) 93 (c) 198 (d) 3
  32. 32.If x/2 + 15 = 20, what is x? (a) 10 (b) 25 (c) 5 (d) 70
  33. 33.If 9x + 12 = 120, what is x? (a) 108 (b) 11 (c) 13 (d) 12
  34. 34.If 4x + 19 = 3x + 23, what is x? (a) 4 (b) 42 (c) 5 (d) 6
  35. 35.If 4x + 23 = 79, what is x? (a) 14 (b) 56 (c) 15 (d) 13
  36. 36.If 5x − 2 = 48, what is x? (a) 50 (b) 10 (c) 11 (d) 9
  37. 37.If 8x + 5 = 4x + 25, what is x? (a) 6 (b) 4 (c) 5 (d) 7
  38. 38.If x/5 + 6 = 10, what is x? (a) 4 (b) 20 (c) 80 (d) 44
  39. 39.If 7x + 16 = x + 34, what is x? (a) 2 (b) 4 (c) 3 (d) 5
  40. 40.If 8x + 29 = 125, what is x? (a) 12 (b) 13 (c) 96 (d) 11

Answer key

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

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