← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 207 · 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 4x + 12 = 60, what is x? (a) 18 (b) 13 (c) 12 (d) 48
  2. 2.If 7x − 4 = 10, what is x? (a) 1 (b) 3 (c) 2 (d) 14
  3. 3.If x/5 + 7 = 16, what is x? (a) 115 (b) 73 (c) 9 (d) 45
  4. 4.If 5x − 20 = 10, what is x? (a) 7 (b) 6 (c) 5 (d) 30
  5. 5.If 4x − 3 = 53, what is x? (a) 56 (b) 15 (c) 13 (d) 14
  6. 6.If 3x + 14 = 20, what is x? (a) 1 (b) 3 (c) 2 (d) 6
  7. 7.If 3x + 11 = 53, what is x? (a) 13 (b) 15 (c) 14 (d) 42
  8. 8.If x/5 + 4 = 12, what is x? (a) 8 (b) 80 (c) 40 (d) 56
  9. 9.If x/5 + 3 = 9, what is x? (a) 60 (b) 30 (c) 42 (d) 6
  10. 10.If 8x + 15 = 39, what is x? (a) 24 (b) 2 (c) 4 (d) 3
  11. 11.If 3x − 17 = 4, what is x? (a) 8 (b) 6 (c) 21 (d) 7
  12. 12.If x/3 + 7 = 19, what is x? (a) 12 (b) 50 (c) 36 (d) 78
  13. 13.If 7x − 18 = 73, what is x? (a) 14 (b) 13 (c) 91 (d) 12
  14. 14.If 7x + 28 = 126, what is x? (a) 98 (b) 15 (c) 22 (d) 14
  15. 15.If 4x − 43 = 9, what is x? (a) 14 (b) 52 (c) 13 (d) 12
  16. 16.If 2x + 13 = 37, what is x? (a) 25 (b) 24 (c) 12 (d) 13
  17. 17.If x/3 + 8 = 17, what is x? (a) 43 (b) 9 (c) 27 (d) 75
  18. 18.If 3x + 4 = x + 12, what is x? (a) 8 (b) 2 (c) 4 (d) 5
  19. 19.If 7x + 18 = 5x + 20, what is x? (a) 1 (b) 19 (c) 2 (d) 3
  20. 20.If 8x + 1 = 6x + 23, what is x? (a) 13 (b) 10 (c) 11 (d) 12
  21. 21.If x/5 + 6 = 16, what is x? (a) 74 (b) 110 (c) 10 (d) 50
  22. 22.If 5x + 6 = 4x + 10, what is x? (a) 16 (b) 4 (c) 6 (d) 5
  23. 23.If 3x + 18 = 45, what is x? (a) 9 (b) 21 (c) 10 (d) 27
  24. 24.If 2x + 1 = 19, what is x? (a) 8 (b) 18 (c) 10 (d) 9
  25. 25.If 4x − 15 = 21, what is x? (a) 36 (b) 10 (c) 9 (d) 8
  26. 26.If 6x + 17 = 83, what is x? (a) 66 (b) 10 (c) 11 (d) 12
  27. 27.If 3x + 12 = x + 34, what is x? (a) 12 (b) 23 (c) 11 (d) 13
  28. 28.If 3x + 16 = x + 22, what is x? (a) 5 (b) 19 (c) 3 (d) 4
  29. 29.If 8x + 26 = 50, what is x? (a) 2 (b) 4 (c) 3 (d) 24
  30. 30.If x/5 + 3 = 6, what is x? (a) 3 (b) 15 (c) 27 (d) 45
  31. 31.If x/5 + 10 = 14, what is x? (a) 120 (b) 4 (c) 60 (d) 20
  32. 32.If 8x + 30 = 126, what is x? (a) 96 (b) 13 (c) 11 (d) 12
  33. 33.If 8x + 8 = x + 71, what is x? (a) 11 (b) 9 (c) 7 (d) 10
  34. 34.If 5x + 15 = 3x + 19, what is x? (a) 4 (b) 3 (c) 2 (d) 17
  35. 35.If 3x + 2 = 8, what is x? (a) 3 (b) 1 (c) 2 (d) 6
  36. 36.If x/2 + 3 = 11, what is x? (a) 19 (b) 28 (c) 16 (d) 8
  37. 37.If 2x − 4 = 2, what is x? (a) 3 (b) 2 (c) 4 (d) 6
  38. 38.If 6x + 15 = 4x + 29, what is x? (a) 8 (b) 7 (c) 22 (d) 9
  39. 39.If 4x − 42 = 14, what is x? (a) 13 (b) 15 (c) 14 (d) 56
  40. 40.If x/2 + 2 = 9, what is x? (a) 14 (b) 16 (c) 22 (d) 7

Answer key

  1. 12
  2. 2
  3. 45
  4. 6
  5. 14
  6. 2
  7. 14
  8. 40
  9. 30
  10. 3
  11. 7
  12. 36
  13. 13
  14. 14
  15. 13
  16. 12
  17. 27
  18. 4
  19. 1
  20. 11
  21. 50
  22. 4
  23. 9
  24. 9
  25. 9
  26. 11
  27. 11
  28. 3
  29. 3
  30. 15
  31. 20
  32. 12
  33. 9
  34. 2
  35. 2
  36. 16
  37. 3
  38. 7
  39. 14
  40. 14

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