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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 87 · 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.Rahul thinks of a number, multiplies it by 4 and then adds 8. The result is 36. What is the number?
  2. 2.Solve: 5y + 24 = 99. What is y?
  3. 3.Solve: m/8 + 1 = 13. What is m?
  4. 4.Diya’s mother is three times as old as Diya. Their ages add up to 32 years. How old is Diya?
  5. 5.Solve: 7(m + 2) = 98. What is m?
  6. 6.Solve: 3(n + 4) = 27. What is n?
  7. 7.Joseph is 4 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  8. 8.Solve: 3(y + 1) = 48. What is y?
  9. 9.Solve: 4y − 15 = 9. What is y?
  10. 10.Solve: y/3 + 10 = 24. What is y?
  11. 11.Solve: p/5 + 4 = 10. What is p?
  12. 12.Solve: n/3 + 9 = 21. What is n?
  13. 13.Solve: 7(t + 6) = 105. What is t?
  14. 14.Solve: 4t + 22 = 34. What is t?
  15. 15.Solve: 5m + 14 = 79. What is m?
  16. 16.Kavya is 8 years older than a cousin. Their ages add up to 38 years. How old is the cousin?
  17. 17.Solve: 8y + 14 = 118. What is y?
  18. 18.Solve: 9n + 17 = 26. What is n?
  19. 19.Solve: 5t + 2 = 42. What is t?
  20. 20.Aarav thinks of a number, multiplies it by 6 and then adds 12. The result is 36. What is the number?
  21. 21.Solve: 8t − 29 = 19. What is t?
  22. 22.Solve: 7x − 1 = 34. What is x?
  23. 23.Solve: 5p + 1 = 21. What is p?
  24. 24.Solve: 9y − 108 = 18. What is y?
  25. 25.Tara is 1 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  26. 26.Solve: 5(n + 3) = 80. What is n?
  27. 27.Solve: 3n + 4 = 49. What is n?
  28. 28.Solve: 2x + 8 = 14. What is x?
  29. 29.Solve: 4y + 1 = 61. What is y?
  30. 30.Solve: 3y + 6 = 42. What is y?
  31. 31.Gurpreet thinks of a number, multiplies it by 3 and then adds 24. The result is 42. What is the number?
  32. 32.Solve: 2t + 5 = 33. What is t?
  33. 33.Solve: 3p − 37 = 8. What is p?
  34. 34.Solve: m/9 + 2 = 6. What is m?
  35. 35.Ishaan thinks of a number, multiplies it by 7 and then adds 26. The result is 68. What is the number?
  36. 36.Solve: p/5 + 4 = 15. What is p?
  37. 37.Solve: 4n − 9 = 31. What is n?
  38. 38.Solve: p/6 + 6 = 21. What is p?
  39. 39.Solve: 8y + 1 = 81. What is y?
  40. 40.Sneha thinks of a number, multiplies it by 8 and then adds 27. The result is 131. What is the number?

Answer key

  1. 7
  2. 15
  3. 96
  4. 8
  5. 12
  6. 5
  7. 15
  8. 15
  9. 6
  10. 42
  11. 30
  12. 36
  13. 9
  14. 3
  15. 13
  16. 15
  17. 13
  18. 1
  19. 8
  20. 4
  21. 6
  22. 5
  23. 4
  24. 14
  25. 6
  26. 13
  27. 15
  28. 3
  29. 15
  30. 12
  31. 6
  32. 14
  33. 15
  34. 36
  35. 6
  36. 55
  37. 10
  38. 90
  39. 10
  40. 13

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