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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 173 · 40 sums
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The method (Undo in reverse): ax + b = c → ax = c − b → x = (c − b) ÷ a. ax − b = c → ax = c + b. x/a + b = c → x/a = c − b → x = a × (c − b). a(x + b) = c → divide by a first: x + b = c ÷ a. Word problems: call the unknown x, write the equation, solve it, then check with the story.

NameDateTime takenScore ___ / 40
  1. 1.Solve: y/6 + 4 = 11. What is y?
  2. 2.Solve: 2(n + 3) = 8. What is n?
  3. 3.Lakshmi thinks of a number, multiplies it by 5 and then adds 30. The result is 50. What is the number?
  4. 4.Tara thinks of a number, multiplies it by 5 and then adds 28. The result is 48. What is the number?
  5. 5.Solve: 4(p + 8) = 44. What is p?
  6. 6.Meera thinks of a number, multiplies it by 7 and then adds 4. The result is 32. What is the number?
  7. 7.Solve: 7m − 62 = 1. What is m?
  8. 8.Solve: 2(n + 1) = 18. What is n?
  9. 9.Solve: 2x − 1 = 3. What is x?
  10. 10.Solve: t/2 + 18 = 22. What is t?
  11. 11.Manav thinks of a number, multiplies it by 3 and then adds 16. The result is 19. What is the number?
  12. 12.Ananya’s mother is twice as old as Ananya. Their ages add up to 27 years. How old is Ananya?
  13. 13.Lakshmi thinks of a number, multiplies it by 9 and then adds 26. The result is 53. What is the number?
  14. 14.Solve: x/5 + 6 = 20. What is x?
  15. 15.Solve: 2n + 12 = 16. What is n?
  16. 16.Solve: 6y − 3 = 15. What is y?
  17. 17.Solve: 2(p + 8) = 20. What is p?
  18. 18.Solve: 4(y + 4) = 72. What is y?
  19. 19.Solve: p/9 + 2 = 3. What is p?
  20. 20.Solve: 9t − 22 = 5. What is t?
  21. 21.Solve: 4x − 3 = 1. What is x?
  22. 22.Solve: t/9 + 1 = 6. What is t?
  23. 23.Solve: p/4 + 5 = 15. What is p?
  24. 24.Solve: 7p − 57 = 13. What is p?
  25. 25.Solve: 8(x + 7) = 104. What is x?
  26. 26.Solve: y/7 + 18 = 30. What is y?
  27. 27.Solve: n/9 + 20 = 23. What is n?
  28. 28.Solve: p/2 + 13 = 25. What is p?
  29. 29.Dev thinks of a number, multiplies it by 9 and then adds 12. The result is 102. What is the number?
  30. 30.Solve: 7x + 13 = 76. What is x?
  31. 31.Solve: 5(m + 7) = 50. What is m?
  32. 32.Solve: 7t − 37 = 68. What is t?
  33. 33.Solve: 2t − 22 = 6. What is t?
  34. 34.Solve: y/4 + 3 = 16. What is y?
  35. 35.Solve: 9(n + 9) = 153. What is n?
  36. 36.Solve: 6p + 14 = 26. What is p?
  37. 37.Solve: 3n − 2 = 1. What is n?
  38. 38.Karan is 6 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  39. 39.Solve: 5(y + 3) = 20. What is y?
  40. 40.Lakshmi is 5 years older than a cousin. Their ages add up to 13 years. How old is the cousin?

Answer key

  1. 42
  2. 1
  3. 4
  4. 4
  5. 3
  6. 4
  7. 9
  8. 8
  9. 2
  10. 8
  11. 1
  12. 9
  13. 3
  14. 70
  15. 2
  16. 3
  17. 2
  18. 14
  19. 9
  20. 3
  21. 1
  22. 45
  23. 40
  24. 10
  25. 6
  26. 84
  27. 27
  28. 24
  29. 10
  30. 9
  31. 3
  32. 15
  33. 14
  34. 52
  35. 8
  36. 2
  37. 1
  38. 13
  39. 1
  40. 4

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