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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 170 · 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.Solve: y/4 + 9 = 10. What is y?
  2. 2.Solve: t/4 + 2 = 13. What is t?
  3. 3.Solve: x/5 + 4 = 14. What is x?
  4. 4.Solve: 6n − 33 = 33. What is n?
  5. 5.Solve: 5n − 5 = 55. What is n?
  6. 6.Sneha’s mother is four times as old as Sneha. Their ages add up to 30 years. How old is Sneha?
  7. 7.Solve: 4n + 23 = 55. What is n?
  8. 8.Solve: 7x − 88 = 17. What is x?
  9. 9.Saanvi is 6 years older than a cousin. Their ages add up to 36 years. How old is the cousin?
  10. 10.Solve: y/6 + 2 = 3. What is y?
  11. 11.Solve: x/8 + 17 = 25. What is x?
  12. 12.Solve: y/7 + 8 = 20. What is y?
  13. 13.Solve: 9(y + 2) = 144. What is y?
  14. 14.Solve: 2p + 8 = 24. What is p?
  15. 15.Solve: x/2 + 10 = 23. What is x?
  16. 16.Rohan is 4 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  17. 17.Solve: 7m + 19 = 61. What is m?
  18. 18.Ananya’s mother is four times as old as Ananya. Their ages add up to 25 years. How old is Ananya?
  19. 19.Manav’s mother is four times as old as Manav. Their ages add up to 35 years. How old is Manav?
  20. 20.Riya thinks of a number, multiplies it by 7 and then adds 6. The result is 90. What is the number?
  21. 21.Tara thinks of a number, multiplies it by 8 and then adds 6. The result is 86. What is the number?
  22. 22.Riya’s mother is twice as old as Riya. Their ages add up to 42 years. How old is Riya?
  23. 23.Solve: 4n − 1 = 3. What is n?
  24. 24.Solve: 6x − 6 = 42. What is x?
  25. 25.Tara thinks of a number, multiplies it by 2 and then adds 8. The result is 30. What is the number?
  26. 26.Solve: 2(x + 6) = 40. What is x?
  27. 27.Isha is 7 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  28. 28.Meera is 8 years older than a cousin. Their ages add up to 38 years. How old is the cousin?
  29. 29.Nisha thinks of a number, multiplies it by 2 and then adds 12. The result is 40. What is the number?
  30. 30.Solve: 3y − 1 = 29. What is y?
  31. 31.Solve: 9m + 10 = 46. What is m?
  32. 32.Solve: p/4 + 7 = 12. What is p?
  33. 33.Solve: p/9 + 16 = 19. What is p?
  34. 34.Solve: n/8 + 14 = 18. What is n?
  35. 35.Solve: 8n − 17 = 7. What is n?
  36. 36.Solve: p/6 + 13 = 27. What is p?
  37. 37.Solve: 2y + 24 = 32. What is y?
  38. 38.Solve: 4(m + 2) = 20. What is m?
  39. 39.Solve: y/3 + 19 = 21. What is y?
  40. 40.Solve: 8t + 4 = 52. What is t?

Answer key

  1. 4
  2. 44
  3. 50
  4. 11
  5. 12
  6. 6
  7. 8
  8. 15
  9. 15
  10. 6
  11. 64
  12. 84
  13. 14
  14. 8
  15. 26
  16. 11
  17. 6
  18. 5
  19. 7
  20. 12
  21. 10
  22. 14
  23. 1
  24. 8
  25. 11
  26. 14
  27. 11
  28. 15
  29. 14
  30. 10
  31. 4
  32. 20
  33. 27
  34. 32
  35. 3
  36. 84
  37. 4
  38. 3
  39. 6
  40. 6

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