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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 919 · 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.

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  1. 1.Aarav thinks of a number, multiplies it by 8 and then adds 20. The result is 100. What is the number?
  2. 2.Diya is 6 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  3. 3.Solve: 2y − 16 = 2. What is y?
  4. 4.Riya’s mother is three times as old as Riya. Their ages add up to 36 years. How old is Riya?
  5. 5.Solve: 5(y + 1) = 35. What is y?
  6. 6.Manav is 8 years older than a cousin. Their ages add up to 36 years. How old is the cousin?
  7. 7.Vivaan thinks of a number, multiplies it by 5 and then adds 21. The result is 36. What is the number?
  8. 8.Solve: y/9 + 6 = 15. What is y?
  9. 9.Solve: 4x + 20 = 68. What is x?
  10. 10.Solve: 3y + 7 = 19. What is y?
  11. 11.Solve: 4x − 27 = 29. What is x?
  12. 12.Saanvi is 6 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  13. 13.Solve: 2y − 13 = 3. What is y?
  14. 14.Solve: 3(t + 9) = 63. What is t?
  15. 15.Solve: 5n − 43 = 17. What is n?
  16. 16.Aarav thinks of a number, multiplies it by 9 and then adds 5. The result is 140. What is the number?
  17. 17.Solve: 6(m + 2) = 96. What is m?
  18. 18.Solve: 5n + 1 = 16. What is n?
  19. 19.Priya is 6 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  20. 20.Solve: 8(t + 1) = 120. What is t?
  21. 21.Solve: x/4 + 11 = 22. What is x?
  22. 22.Solve: 6p − 1 = 17. What is p?
  23. 23.Solve: 2y − 3 = 5. What is y?
  24. 24.Aarav thinks of a number, multiplies it by 7 and then adds 30. The result is 51. What is the number?
  25. 25.Solve: 3p − 5 = 13. What is p?
  26. 26.Joseph thinks of a number, multiplies it by 8 and then adds 26. The result is 58. What is the number?
  27. 27.Solve: 4x + 28 = 60. What is x?
  28. 28.Solve: m/3 + 8 = 13. What is m?
  29. 29.Solve: 3n − 8 = 25. What is n?
  30. 30.Dev’s mother is twice as old as Dev. Their ages add up to 42 years. How old is Dev?
  31. 31.Solve: 5m + 21 = 61. What is m?
  32. 32.Meera is 1 years older than a cousin. Their ages add up to 9 years. How old is the cousin?
  33. 33.Solve: 4y + 27 = 43. What is y?
  34. 34.Arjun thinks of a number, multiplies it by 5 and then adds 3. The result is 38. What is the number?
  35. 35.Rahul is 2 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  36. 36.Solve: p/6 + 15 = 18. What is p?
  37. 37.Solve: 3m − 8 = 4. What is m?
  38. 38.Dev thinks of a number, multiplies it by 6 and then adds 4. The result is 52. What is the number?
  39. 39.Solve: 2n + 12 = 20. What is n?
  40. 40.Solve: 2n + 22 = 32. What is n?

Answer key

  1. 10
  2. 7
  3. 9
  4. 9
  5. 6
  6. 14
  7. 3
  8. 81
  9. 12
  10. 4
  11. 14
  12. 10
  13. 8
  14. 12
  15. 12
  16. 15
  17. 14
  18. 3
  19. 12
  20. 14
  21. 44
  22. 3
  23. 4
  24. 3
  25. 6
  26. 4
  27. 8
  28. 15
  29. 11
  30. 14
  31. 8
  32. 4
  33. 4
  34. 7
  35. 15
  36. 18
  37. 4
  38. 8
  39. 4
  40. 5

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