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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 37 · 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.Karan thinks of a number, multiplies it by 3 and then adds 1. The result is 13. What is the number?
  2. 2.Lakshmi thinks of a number, multiplies it by 4 and then adds 2. The result is 10. What is the number?
  3. 3.Solve: 8(m + 9) = 96. What is m?
  4. 4.Riya thinks of a number, multiplies it by 3 and then adds 23. The result is 35. What is the number?
  5. 5.Solve: 5(n + 8) = 95. What is n?
  6. 6.Rahul thinks of a number, multiplies it by 9 and then adds 2. The result is 20. What is the number?
  7. 7.Priya’s mother is four times as old as Priya. Their ages add up to 50 years. How old is Priya?
  8. 8.Solve: t/4 + 1 = 7. What is t?
  9. 9.Priya thinks of a number, multiplies it by 6 and then adds 14. The result is 74. What is the number?
  10. 10.Solve: 8(m + 3) = 136. What is m?
  11. 11.Ananya thinks of a number, multiplies it by 6 and then adds 24. The result is 102. What is the number?
  12. 12.Solve: y/4 + 9 = 10. What is y?
  13. 13.Solve: p/3 + 13 = 24. What is p?
  14. 14.Solve: 8x − 2 = 22. What is x?
  15. 15.Solve: 2m + 14 = 32. What is m?
  16. 16.Solve: 6(x + 3) = 42. What is x?
  17. 17.Solve: 5m + 21 = 81. What is m?
  18. 18.Pooja thinks of a number, multiplies it by 2 and then adds 15. The result is 37. What is the number?
  19. 19.Solve: 7t + 4 = 60. What is t?
  20. 20.Solve: 4(p + 3) = 28. What is p?
  21. 21.Solve: p/8 + 9 = 11. What is p?
  22. 22.Solve: p/5 + 11 = 22. What is p?
  23. 23.Solve: 7n − 35 = 7. What is n?
  24. 24.Solve: 5n + 21 = 96. What is n?
  25. 25.Sneha’s mother is four times as old as Sneha. Their ages add up to 70 years. How old is Sneha?
  26. 26.Saanvi’s mother is three times as old as Saanvi. Their ages add up to 20 years. How old is Saanvi?
  27. 27.Solve: 3p − 35 = 4. What is p?
  28. 28.Solve: 4p − 31 = 1. What is p?
  29. 29.Solve: 2n − 1 = 1. What is n?
  30. 30.Aditya is 2 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  31. 31.Solve: 8(x + 9) = 136. What is x?
  32. 32.Solve: 2y + 28 = 38. What is y?
  33. 33.Diya thinks of a number, multiplies it by 6 and then adds 29. The result is 101. What is the number?
  34. 34.Solve: 8y + 7 = 15. What is y?
  35. 35.Solve: 3n − 2 = 1. What is n?
  36. 36.Solve: 5p + 11 = 86. What is p?
  37. 37.Rahul is 5 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  38. 38.Solve: x/5 + 6 = 7. What is x?
  39. 39.Solve: 8n − 33 = 23. What is n?
  40. 40.Zoya thinks of a number, multiplies it by 3 and then adds 25. The result is 67. What is the number?

Answer key

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

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