← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 735 · 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 5x − 21 = 19, what is x? (a) 7 (b) 8 (c) 9 (d) 40
  2. 2.If 7x + 8 = 5x + 18, what is x? (a) 13 (b) 5 (c) 7 (d) 6
  3. 3.If x/5 + 7 = 12, what is x? (a) 53 (b) 95 (c) 5 (d) 25
  4. 4.If x/3 + 11 = 21, what is x? (a) 30 (b) 52 (c) 10 (d) 96
  5. 5.If 8x + 11 = 6x + 35, what is x? (a) 13 (b) 12 (c) 14 (d) 23
  6. 6.If x/2 + 12 = 16, what is x? (a) 4 (b) 20 (c) 8 (d) 56
  7. 7.If 3x − 12 = 6, what is x? (a) 7 (b) 18 (c) 6 (d) 5
  8. 8.If x/5 + 9 = 19, what is x? (a) 86 (b) 140 (c) 10 (d) 50
  9. 9.If 7x + 15 = x + 21, what is x? (a) 2 (b) 3 (c) 6 (d) 1
  10. 10.If 9x + 16 = 5x + 28, what is x? (a) 5 (b) 11 (c) 3 (d) 4
  11. 11.If 4x − 5 = 15, what is x? (a) 20 (b) 6 (c) 4 (d) 5
  12. 12.If x/3 + 4 = 12, what is x? (a) 48 (b) 32 (c) 24 (d) 8
  13. 13.If 8x + 17 = 57, what is x? (a) 40 (b) 5 (c) 4 (d) 6
  14. 14.If 8x − 47 = 17, what is x? (a) 7 (b) 9 (c) 64 (d) 8
  15. 15.If 5x − 15 = 5, what is x? (a) 4 (b) 20 (c) 5 (d) 3
  16. 16.If 6x + 14 = 26, what is x? (a) 1 (b) 12 (c) 2 (d) 3
  17. 17.If 4x + 2 = 2x + 8, what is x? (a) 3 (b) 1 (c) 5 (d) 4
  18. 18.If 7x − 12 = 86, what is x? (a) 14 (b) 98 (c) 13 (d) 15
  19. 19.If 7x + 6 = x + 78, what is x? (a) 9 (b) 12 (c) 13 (d) 14
  20. 20.If x/2 + 15 = 17, what is x? (a) 4 (b) 2 (c) 19 (d) 64
  21. 21.If x/5 + 7 = 18, what is x? (a) 83 (b) 55 (c) 11 (d) 125
  22. 22.If 8x + 28 = 132, what is x? (a) 20 (b) 104 (c) 13 (d) 14
  23. 23.If 6x + 9 = 99, what is x? (a) 16 (b) 90 (c) 15 (d) 18
  24. 24.If 5x − 28 = 22, what is x? (a) 10 (b) 11 (c) 50 (d) 9
  25. 25.If x/5 + 10 = 12, what is x? (a) 110 (b) 10 (c) 2 (d) 50
  26. 26.If 5x − 11 = 39, what is x? (a) 10 (b) 50 (c) 11 (d) 9
  27. 27.If x/4 + 8 = 12, what is x? (a) 16 (b) 4 (c) 40 (d) 80
  28. 28.If x/6 + 9 = 16, what is x? (a) 87 (b) 7 (c) 42 (d) 150
  29. 29.If 5x + 14 = 3x + 32, what is x? (a) 10 (b) 23 (c) 9 (d) 11
  30. 30.If 8x + 9 = x + 79, what is x? (a) 10 (b) 12 (c) 11 (d) 9
  31. 31.If 3x + 10 = x + 28, what is x? (a) 19 (b) 10 (c) 9 (d) 11
  32. 32.If x/2 + 5 = 9, what is x? (a) 13 (b) 28 (c) 8 (d) 4
  33. 33.If 6x − 20 = 4, what is x? (a) 3 (b) 4 (c) 5 (d) 24
  34. 34.If 3x − 6 = 21, what is x? (a) 10 (b) 27 (c) 9 (d) 5
  35. 35.If x/4 + 12 = 21, what is x? (a) 132 (b) 9 (c) 72 (d) 36
  36. 36.If 6x + 16 = x + 36, what is x? (a) 3 (b) 6 (c) 4 (d) 5
  37. 37.If 5x + 18 = 88, what is x? (a) 70 (b) 15 (c) 13 (d) 14
  38. 38.If x/6 + 4 = 15, what is x? (a) 114 (b) 11 (c) 66 (d) 86
  39. 39.If 9x + 27 = 135, what is x? (a) 18 (b) 13 (c) 108 (d) 12
  40. 40.If 3x + 18 = 2x + 26, what is x? (a) 8 (b) 10 (c) 9 (d) 44

Answer key

  1. 8
  2. 5
  3. 25
  4. 30
  5. 12
  6. 8
  7. 6
  8. 50
  9. 1
  10. 3
  11. 5
  12. 24
  13. 5
  14. 8
  15. 4
  16. 2
  17. 3
  18. 14
  19. 12
  20. 4
  21. 55
  22. 13
  23. 15
  24. 10
  25. 10
  26. 10
  27. 16
  28. 42
  29. 9
  30. 10
  31. 9
  32. 8
  33. 4
  34. 9
  35. 36
  36. 4
  37. 14
  38. 66
  39. 12
  40. 8

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