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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 807 · 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: 7(t + 2) = 119. What is t?
  2. 2.Solve: 8y − 49 = 39. What is y?
  3. 3.Riya thinks of a number, multiplies it by 4 and then adds 8. The result is 64. What is the number?
  4. 4.Solve: 6(y + 4) = 72. What is y?
  5. 5.Sneha thinks of a number, multiplies it by 3 and then adds 21. The result is 30. What is the number?
  6. 6.Diya’s mother is three times as old as Diya. Their ages add up to 36 years. How old is Diya?
  7. 7.Meera thinks of a number, multiplies it by 4 and then adds 29. The result is 41. What is the number?
  8. 8.Sneha is 5 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  9. 9.Saanvi’s mother is twice as old as Saanvi. Their ages add up to 12 years. How old is Saanvi?
  10. 10.Solve: 3m − 5 = 1. What is m?
  11. 11.Ananya is 8 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  12. 12.Lakshmi thinks of a number, multiplies it by 2 and then adds 1. The result is 29. What is the number?
  13. 13.Manav’s mother is twice as old as Manav. Their ages add up to 15 years. How old is Manav?
  14. 14.Rohan’s mother is four times as old as Rohan. Their ages add up to 65 years. How old is Rohan?
  15. 15.Solve: 3m − 1 = 17. What is m?
  16. 16.Solve: 9(x + 4) = 54. What is x?
  17. 17.Solve: 4n + 27 = 31. What is n?
  18. 18.Meera is 3 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  19. 19.Solve: n/7 + 1 = 9. What is n?
  20. 20.Solve: 3m − 20 = 19. What is m?
  21. 21.Kabir thinks of a number, multiplies it by 4 and then adds 8. The result is 64. What is the number?
  22. 22.Solve: 3(x + 4) = 45. What is x?
  23. 23.Priya thinks of a number, multiplies it by 5 and then adds 11. The result is 36. What is the number?
  24. 24.Dev is 1 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  25. 25.Solve: 5(n + 9) = 85. What is n?
  26. 26.Rohan is 4 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  27. 27.Solve: 7x + 10 = 66. What is x?
  28. 28.Solve: n/3 + 9 = 24. What is n?
  29. 29.Solve: 3(p + 6) = 39. What is p?
  30. 30.Gurpreet is 3 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  31. 31.Solve: n/7 + 6 = 11. What is n?
  32. 32.Solve: 6t − 3 = 45. What is t?
  33. 33.Solve: 7t + 16 = 100. What is t?
  34. 34.Kabir thinks of a number, multiplies it by 4 and then adds 3. The result is 43. What is the number?
  35. 35.Solve: t/9 + 13 = 26. What is t?
  36. 36.Solve: 6p − 59 = 31. What is p?
  37. 37.Solve: 4(p + 4) = 72. What is p?
  38. 38.Solve: 2p + 22 = 42. What is p?
  39. 39.Rahul thinks of a number, multiplies it by 2 and then adds 7. The result is 37. What is the number?
  40. 40.Solve: 3(y + 6) = 60. What is y?

Answer key

  1. 15
  2. 11
  3. 14
  4. 8
  5. 3
  6. 9
  7. 3
  8. 13
  9. 4
  10. 2
  11. 9
  12. 14
  13. 5
  14. 13
  15. 6
  16. 2
  17. 1
  18. 11
  19. 56
  20. 13
  21. 14
  22. 11
  23. 5
  24. 6
  25. 8
  26. 10
  27. 8
  28. 45
  29. 7
  30. 10
  31. 35
  32. 8
  33. 12
  34. 10
  35. 117
  36. 15
  37. 14
  38. 10
  39. 15
  40. 14

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