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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 571 · 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: 5n + 29 = 99. What is n?
  2. 2.Meera thinks of a number, multiplies it by 9 and then adds 3. The result is 120. What is the number?
  3. 3.Solve: 4(m + 5) = 28. What is m?
  4. 4.Tara thinks of a number, multiplies it by 5 and then adds 14. The result is 34. What is the number?
  5. 5.Solve: 7p − 44 = 5. What is p?
  6. 6.Solve: 2(n + 3) = 20. What is n?
  7. 7.Vivaan thinks of a number, multiplies it by 3 and then adds 25. The result is 37. What is the number?
  8. 8.Solve: 2y + 19 = 31. What is y?
  9. 9.Solve: 9x − 14 = 49. What is x?
  10. 10.Solve: t/4 + 2 = 15. What is t?
  11. 11.Solve: 6(n + 2) = 72. What is n?
  12. 12.Solve: 8(n + 8) = 104. What is n?
  13. 13.Solve: y/5 + 16 = 27. What is y?
  14. 14.Solve: 7x − 48 = 1. What is x?
  15. 15.Solve: 7t + 16 = 51. What is t?
  16. 16.Solve: 9t + 20 = 47. What is t?
  17. 17.Ishaan’s mother is twice as old as Ishaan. Their ages add up to 12 years. How old is Ishaan?
  18. 18.Solve: 2(n + 4) = 32. What is n?
  19. 19.Solve: 7t − 30 = 47. What is t?
  20. 20.Manav’s mother is four times as old as Manav. Their ages add up to 20 years. How old is Manav?
  21. 21.Solve: 4(n + 7) = 76. What is n?
  22. 22.Solve: y/6 + 3 = 4. What is y?
  23. 23.Solve: 6(t + 7) = 96. What is t?
  24. 24.Solve: 2n − 17 = 5. What is n?
  25. 25.Solve: 6t − 4 = 2. What is t?
  26. 26.Solve: x/2 + 5 = 9. What is x?
  27. 27.Solve: 9t + 9 = 117. What is t?
  28. 28.Solve: 8x + 21 = 77. What is x?
  29. 29.Priya thinks of a number, multiplies it by 6 and then adds 19. The result is 91. What is the number?
  30. 30.Solve: 3n + 20 = 41. What is n?
  31. 31.Aditya thinks of a number, multiplies it by 3 and then adds 13. The result is 28. What is the number?
  32. 32.Riya thinks of a number, multiplies it by 5 and then adds 25. The result is 40. What is the number?
  33. 33.Solve: 8(n + 4) = 72. What is n?
  34. 34.Solve: 4m + 16 = 44. What is m?
  35. 35.Solve: 4(t + 4) = 28. What is t?
  36. 36.Solve: n/3 + 13 = 26. What is n?
  37. 37.Solve: m/4 + 15 = 19. What is m?
  38. 38.Rohan is 1 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  39. 39.Solve: 4y + 4 = 52. What is y?
  40. 40.Solve: 8y + 29 = 117. What is y?

Answer key

  1. 14
  2. 13
  3. 2
  4. 4
  5. 7
  6. 7
  7. 4
  8. 6
  9. 7
  10. 52
  11. 10
  12. 5
  13. 55
  14. 7
  15. 5
  16. 3
  17. 4
  18. 12
  19. 11
  20. 4
  21. 12
  22. 6
  23. 9
  24. 11
  25. 1
  26. 8
  27. 12
  28. 7
  29. 12
  30. 7
  31. 5
  32. 3
  33. 5
  34. 7
  35. 3
  36. 39
  37. 16
  38. 6
  39. 12
  40. 11

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