← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 638 · 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 + 3 = 87, what is x? (a) 11 (b) 13 (c) 12 (d) 84
  2. 2.If 7x + 15 = 36, what is x? (a) 4 (b) 3 (c) 2 (d) 21
  3. 3.If 7x + 8 = 5x + 16, what is x? (a) 6 (b) 4 (c) 12 (d) 5
  4. 4.If 5x + 2 = 27, what is x? (a) 25 (b) 6 (c) 4 (d) 5
  5. 5.If 8x − 40 = 72, what is x? (a) 15 (b) 14 (c) 112 (d) 4
  6. 6.If 6x + 11 = 101, what is x? (a) 16 (b) 90 (c) 14 (d) 15
  7. 7.If 9x + 11 = 8x + 12, what is x? (a) 1 (b) 3 (c) 23 (d) 2
  8. 8.If 6x + 14 = 2x + 46, what is x? (a) 4 (b) 15 (c) 9 (d) 8
  9. 9.If 4x + 20 = 36, what is x? (a) 16 (b) 5 (c) 14 (d) 4
  10. 10.If 7x + 8 = 4x + 26, what is x? (a) 5 (b) 7 (c) 8 (d) 6
  11. 11.If 5x − 45 = 20, what is x? (a) 12 (b) 65 (c) 13 (d) 14
  12. 12.If x/5 + 9 = 19, what is x? (a) 50 (b) 140 (c) 10 (d) 86
  13. 13.If 4x + 10 = 2x + 12, what is x? (a) 11 (b) 2 (c) 1 (d) 3
  14. 14.If 7x + 21 = 77, what is x? (a) 14 (b) 8 (c) 56 (d) 9
  15. 15.If 7x + 11 = 67, what is x? (a) 8 (b) 56 (c) 7 (d) 9
  16. 16.If x/4 + 10 = 15, what is x? (a) 50 (b) 5 (c) 20 (d) 100
  17. 17.If x/3 + 10 = 14, what is x? (a) 32 (b) 72 (c) 12 (d) 4
  18. 18.If 8x − 7 = 57, what is x? (a) 9 (b) 8 (c) 64 (d) 7
  19. 19.If x/2 + 5 = 9, what is x? (a) 8 (b) 28 (c) 13 (d) 4
  20. 20.If x/5 + 9 = 20, what is x? (a) 91 (b) 55 (c) 145 (d) 11
  21. 21.If x/4 + 5 = 15, what is x? (a) 40 (b) 10 (c) 80 (d) 55
  22. 22.If x/5 + 9 = 18, what is x? (a) 135 (b) 81 (c) 45 (d) 9
  23. 23.If 5x − 46 = 9, what is x? (a) 11 (b) 12 (c) 55 (d) 10
  24. 24.If 3x − 13 = 2, what is x? (a) 6 (b) 5 (c) 15 (d) 4
  25. 25.If x/5 + 14 = 23, what is x? (a) 185 (b) 45 (c) 9 (d) 101
  26. 26.If x/2 + 6 = 17, what is x? (a) 28 (b) 22 (c) 46 (d) 11
  27. 27.If x/4 + 6 = 13, what is x? (a) 46 (b) 76 (c) 7 (d) 28
  28. 28.If x/3 + 10 = 16, what is x? (a) 38 (b) 78 (c) 18 (d) 6
  29. 29.If x/5 + 2 = 13, what is x? (a) 11 (b) 75 (c) 55 (d) 63
  30. 30.If x/4 + 10 = 22, what is x? (a) 128 (b) 78 (c) 48 (d) 12
  31. 31.If x/5 + 8 = 18, what is x? (a) 10 (b) 50 (c) 130 (d) 82
  32. 32.If 3x + 13 = 58, what is x? (a) 14 (b) 16 (c) 45 (d) 15
  33. 33.If 7x + 6 = 69, what is x? (a) 10 (b) 9 (c) 8 (d) 63
  34. 34.If 5x + 18 = 3x + 36, what is x? (a) 10 (b) 27 (c) 9 (d) 11
  35. 35.If 2x + 19 = 45, what is x? (a) 26 (b) 13 (c) 14 (d) 32
  36. 36.If x/4 + 5 = 14, what is x? (a) 51 (b) 9 (c) 76 (d) 36
  37. 37.If 4x + 9 = x + 36, what is x? (a) 11 (b) 10 (c) 9 (d) 15
  38. 38.If 8x + 17 = 2x + 47, what is x? (a) 7 (b) 6 (c) 5 (d) 3
  39. 39.If 9x + 28 = 73, what is x? (a) 6 (b) 45 (c) 4 (d) 5
  40. 40.If x/6 + 2 = 10, what is x? (a) 8 (b) 72 (c) 48 (d) 58

Answer key

  1. 12
  2. 3
  3. 4
  4. 5
  5. 14
  6. 15
  7. 1
  8. 8
  9. 4
  10. 6
  11. 13
  12. 50
  13. 1
  14. 8
  15. 8
  16. 20
  17. 12
  18. 8
  19. 8
  20. 55
  21. 40
  22. 45
  23. 11
  24. 5
  25. 45
  26. 22
  27. 28
  28. 18
  29. 55
  30. 48
  31. 50
  32. 15
  33. 9
  34. 9
  35. 13
  36. 36
  37. 9
  38. 5
  39. 5
  40. 48

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