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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 841 · 40 sums
TalentJR

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: 3y + 26 = 44. What is y?
  2. 2.Tara is 7 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  3. 3.Solve: 3x − 7 = 29. What is x?
  4. 4.Solve: 8x − 15 = 1. What is x?
  5. 5.Solve: 5t + 24 = 64. What is t?
  6. 6.Solve: 7(p + 8) = 119. What is p?
  7. 7.Solve: m/2 + 5 = 6. What is m?
  8. 8.Solve: 9y + 11 = 47. What is y?
  9. 9.Solve: 4y + 27 = 87. What is y?
  10. 10.Sneha’s mother is three times as old as Sneha. Their ages add up to 24 years. How old is Sneha?
  11. 11.Solve: 7p + 26 = 40. What is p?
  12. 12.Solve: n/7 + 7 = 16. What is n?
  13. 13.Solve: x/4 + 15 = 18. What is x?
  14. 14.Solve: n/6 + 15 = 18. What is n?
  15. 15.Solve: y/5 + 16 = 28. What is y?
  16. 16.Solve: m/7 + 10 = 21. What is m?
  17. 17.Solve: 2(n + 2) = 32. What is n?
  18. 18.Rahul thinks of a number, multiplies it by 2 and then adds 20. The result is 40. What is the number?
  19. 19.Solve: n/3 + 5 = 10. What is n?
  20. 20.Pooja is 6 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  21. 21.Solve: n/8 + 2 = 4. What is n?
  22. 22.Solve: 2(y + 3) = 10. What is y?
  23. 23.Priya thinks of a number, multiplies it by 4 and then adds 7. The result is 27. What is the number?
  24. 24.Solve: n/2 + 19 = 27. What is n?
  25. 25.Aarav is 5 years older than a cousin. Their ages add up to 33 years. How old is the cousin?
  26. 26.Solve: 5p + 3 = 28. What is p?
  27. 27.Aditya is 7 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  28. 28.Solve: p/2 + 1 = 7. What is p?
  29. 29.Solve: 3y + 25 = 34. What is y?
  30. 30.Ishaan thinks of a number, multiplies it by 3 and then adds 11. The result is 26. What is the number?
  31. 31.Solve: 2m + 26 = 54. What is m?
  32. 32.Arjun thinks of a number, multiplies it by 3 and then adds 7. The result is 28. What is the number?
  33. 33.Solve: 4(m + 4) = 44. What is m?
  34. 34.Sneha thinks of a number, multiplies it by 8 and then adds 9. The result is 17. What is the number?
  35. 35.Solve: 9m + 22 = 31. What is m?
  36. 36.Solve: 3(p + 1) = 24. What is p?
  37. 37.Solve: 9n − 78 = 57. What is n?
  38. 38.Ishaan is 5 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  39. 39.Ishaan is 4 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  40. 40.Saanvi is 8 years older than a cousin. Their ages add up to 38 years. How old is the cousin?

Answer key

  1. 6
  2. 4
  3. 12
  4. 2
  5. 8
  6. 9
  7. 2
  8. 4
  9. 15
  10. 6
  11. 2
  12. 63
  13. 12
  14. 18
  15. 60
  16. 77
  17. 14
  18. 10
  19. 15
  20. 5
  21. 16
  22. 2
  23. 5
  24. 16
  25. 14
  26. 5
  27. 9
  28. 12
  29. 3
  30. 5
  31. 14
  32. 7
  33. 7
  34. 1
  35. 1
  36. 7
  37. 15
  38. 12
  39. 14
  40. 15

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