← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 571 · 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 x/2 + 10 = 20, what is x? (a) 60 (b) 20 (c) 10 (d) 30
  2. 2.If 3x + 28 = 64, what is x? (a) 12 (b) 11 (c) 13 (d) 36
  3. 3.If 9x − 13 = 5, what is x? (a) 3 (b) 2 (c) 18 (d) 1
  4. 4.If 8x + 23 = 135, what is x? (a) 14 (b) 13 (c) 15 (d) 112
  5. 5.If x/6 + 8 = 11, what is x? (a) 3 (b) 58 (c) 18 (d) 114
  6. 6.If 4x − 1 = 15, what is x? (a) 3 (b) 5 (c) 4 (d) 16
  7. 7.If 8x − 3 = 13, what is x? (a) 1 (b) 3 (c) 2 (d) 16
  8. 8.If 3x − 24 = 15, what is x? (a) 12 (b) 14 (c) 39 (d) 13
  9. 9.If x/6 + 8 = 16, what is x? (a) 48 (b) 88 (c) 8 (d) 144
  10. 10.If 9x + 13 = 2x + 90, what is x? (a) 7 (b) 12 (c) 11 (d) 13
  11. 11.If 9x + 14 = 2x + 49, what is x? (a) 7 (b) 6 (c) 5 (d) 9
  12. 12.If 9x + 25 = 106, what is x? (a) 9 (b) 10 (c) 8 (d) 81
  13. 13.If x/5 + 15 = 19, what is x? (a) 20 (b) 170 (c) 80 (d) 4
  14. 14.If 6x + 1 = x + 56, what is x? (a) 13 (b) 12 (c) 10 (d) 11
  15. 15.If 5x − 26 = 4, what is x? (a) 30 (b) 6 (c) 7 (d) 5
  16. 16.If 5x + 10 = 2x + 16, what is x? (a) 4 (b) 1 (c) 2 (d) 3
  17. 17.If 3x − 14 = 1, what is x? (a) 4 (b) 5 (c) 15 (d) 6
  18. 18.If 8x + 9 = 65, what is x? (a) 6 (b) 7 (c) 56 (d) 8
  19. 19.If x/2 + 2 = 7, what is x? (a) 5 (b) 10 (c) 12 (d) 18
  20. 20.If x/2 + 8 = 16, what is x? (a) 48 (b) 8 (c) 24 (d) 16
  21. 21.If 8x + 17 = 7x + 27, what is x? (a) 44 (b) 12 (c) 11 (d) 10
  22. 22.If 6x + 4 = 2x + 28, what is x? (a) 7 (b) 3 (c) 6 (d) 8
  23. 23.If x/4 + 7 = 10, what is x? (a) 12 (b) 3 (c) 68 (d) 33
  24. 24.If 8x − 16 = 8, what is x? (a) 2 (b) 24 (c) 4 (d) 3
  25. 25.If 2x + 10 = 22, what is x? (a) 16 (b) 7 (c) 6 (d) 12
  26. 26.If 5x − 1 = 9, what is x? (a) 2 (b) 3 (c) 1 (d) 10
  27. 27.If 4x + 22 = 70, what is x? (a) 13 (b) 12 (c) 48 (d) 23
  28. 28.If 2x − 3 = 11, what is x? (a) 4 (b) 7 (c) 14 (d) 8
  29. 29.If x/3 + 12 = 23, what is x? (a) 105 (b) 11 (c) 33 (d) 57
  30. 30.If 3x − 5 = 25, what is x? (a) 30 (b) 9 (c) 10 (d) 11
  31. 31.If 9x − 13 = 14, what is x? (a) 27 (b) 2 (c) 3 (d) 4
  32. 32.If 9x + 16 = x + 80, what is x? (a) 12 (b) 8 (c) 10 (d) 9
  33. 33.If 4x − 16 = 24, what is x? (a) 40 (b) 11 (c) 2 (d) 10
  34. 34.If 4x + 14 = 42, what is x? (a) 8 (b) 28 (c) 14 (d) 7
  35. 35.If x/3 + 3 = 8, what is x? (a) 33 (b) 5 (c) 21 (d) 15
  36. 36.If 4x − 18 = 18, what is x? (a) 8 (b) 9 (c) 10 (d) 36
  37. 37.If 2x + 6 = 30, what is x? (a) 13 (b) 18 (c) 24 (d) 12
  38. 38.If 4x + 1 = 3x + 13, what is x? (a) 12 (b) 14 (c) 11 (d) 13
  39. 39.If x/2 + 3 = 14, what is x? (a) 25 (b) 34 (c) 11 (d) 22
  40. 40.If x/2 + 12 = 24, what is x? (a) 36 (b) 24 (c) 72 (d) 12

Answer key

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

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