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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 376 · 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: 3(y + 3) = 33. What is y?
  2. 2.Sneha’s mother is three times as old as Sneha. Their ages add up to 24 years. How old is Sneha?
  3. 3.Solve: n/9 + 1 = 5. What is n?
  4. 4.Solve: 4m + 3 = 27. What is m?
  5. 5.Arjun thinks of a number, multiplies it by 3 and then adds 7. The result is 34. What is the number?
  6. 6.Ishaan thinks of a number, multiplies it by 6 and then adds 16. The result is 46. What is the number?
  7. 7.Solve: 5(n + 9) = 115. What is n?
  8. 8.Solve: 5(t + 1) = 30. What is t?
  9. 9.Ishaan’s mother is four times as old as Ishaan. Their ages add up to 50 years. How old is Ishaan?
  10. 10.Solve: 3t − 34 = 11. What is t?
  11. 11.Zoya’s mother is three times as old as Zoya. Their ages add up to 32 years. How old is Zoya?
  12. 12.Solve: 7x + 6 = 90. What is x?
  13. 13.Solve: y/6 + 5 = 16. What is y?
  14. 14.Solve: n/2 + 7 = 20. What is n?
  15. 15.Zoya thinks of a number, multiplies it by 8 and then adds 28. The result is 92. What is the number?
  16. 16.Solve: 3t + 19 = 61. What is t?
  17. 17.Solve: p/4 + 18 = 24. What is p?
  18. 18.Farhan’s mother is twice as old as Farhan. Their ages add up to 45 years. How old is Farhan?
  19. 19.Solve: 9m − 33 = 12. What is m?
  20. 20.Isha thinks of a number, multiplies it by 2 and then adds 8. The result is 32. What is the number?
  21. 21.Solve: x/3 + 12 = 17. What is x?
  22. 22.Nisha thinks of a number, multiplies it by 2 and then adds 30. The result is 58. What is the number?
  23. 23.Solve: 6x + 6 = 72. What is x?
  24. 24.Manav is 1 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  25. 25.Solve: 2y + 25 = 33. What is y?
  26. 26.Solve: 5n − 17 = 38. What is n?
  27. 27.Farhan’s mother is four times as old as Farhan. Their ages add up to 65 years. How old is Farhan?
  28. 28.Solve: 7p + 12 = 19. What is p?
  29. 29.Manav thinks of a number, multiplies it by 6 and then adds 9. The result is 33. What is the number?
  30. 30.Dev thinks of a number, multiplies it by 7 and then adds 15. The result is 120. What is the number?
  31. 31.Isha is 4 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
  32. 32.Solve: 5(m + 6) = 60. What is m?
  33. 33.Aarav thinks of a number, multiplies it by 2 and then adds 5. The result is 21. What is the number?
  34. 34.Meera is 5 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  35. 35.Solve: n/3 + 4 = 10. What is n?
  36. 36.Solve: 2(p + 1) = 12. What is p?
  37. 37.Solve: 4(t + 4) = 60. What is t?
  38. 38.Kavya thinks of a number, multiplies it by 6 and then adds 6. The result is 30. What is the number?
  39. 39.Solve: 3m + 7 = 22. What is m?
  40. 40.Tara’s mother is twice as old as Tara. Their ages add up to 21 years. How old is Tara?

Answer key

  1. 8
  2. 6
  3. 36
  4. 6
  5. 9
  6. 5
  7. 14
  8. 5
  9. 10
  10. 15
  11. 8
  12. 12
  13. 66
  14. 26
  15. 8
  16. 14
  17. 24
  18. 15
  19. 5
  20. 12
  21. 15
  22. 14
  23. 11
  24. 9
  25. 4
  26. 11
  27. 13
  28. 1
  29. 4
  30. 15
  31. 4
  32. 6
  33. 8
  34. 5
  35. 18
  36. 5
  37. 11
  38. 4
  39. 5
  40. 7

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