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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 743 · 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: 3m + 14 = 17. What is m?
  2. 2.Solve: 4(p + 6) = 68. What is p?
  3. 3.Solve: 5t − 1 = 14. What is t?
  4. 4.Solve: y/7 + 4 = 17. What is y?
  5. 5.Solve: 2n − 9 = 1. What is n?
  6. 6.Solve: 8p + 24 = 56. What is p?
  7. 7.Solve: t/5 + 9 = 16. What is t?
  8. 8.Saanvi thinks of a number, multiplies it by 8 and then adds 21. The result is 141. What is the number?
  9. 9.Solve: 7(t + 7) = 147. What is t?
  10. 10.Solve: 3(m + 7) = 27. What is m?
  11. 11.Manav’s mother is four times as old as Manav. Their ages add up to 40 years. How old is Manav?
  12. 12.Solve: 6y − 47 = 19. What is y?
  13. 13.Solve: 7x + 21 = 35. What is x?
  14. 14.Solve: 4n − 7 = 1. What is n?
  15. 15.Solve: 2y + 22 = 30. What is y?
  16. 16.Solve: 2n + 2 = 16. What is n?
  17. 17.Saanvi thinks of a number, multiplies it by 2 and then adds 30. The result is 60. What is the number?
  18. 18.Lakshmi thinks of a number, multiplies it by 5 and then adds 6. The result is 71. What is the number?
  19. 19.Solve: 8m − 5 = 3. What is m?
  20. 20.Isha thinks of a number, multiplies it by 9 and then adds 28. The result is 154. What is the number?
  21. 21.Pooja’s mother is four times as old as Pooja. Their ages add up to 75 years. How old is Pooja?
  22. 22.Sneha is 6 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  23. 23.Pooja’s mother is four times as old as Pooja. Their ages add up to 30 years. How old is Pooja?
  24. 24.Solve: 4(y + 2) = 40. What is y?
  25. 25.Kavya is 3 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  26. 26.Lakshmi thinks of a number, multiplies it by 2 and then adds 20. The result is 28. What is the number?
  27. 27.Rahul is 8 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  28. 28.Isha is 1 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  29. 29.Solve: 5t − 5 = 20. What is t?
  30. 30.Solve: 8p − 12 = 4. What is p?
  31. 31.Aarav is 5 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  32. 32.Ananya is 7 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  33. 33.Solve: 6t + 22 = 64. What is t?
  34. 34.Arjun’s mother is twice as old as Arjun. Their ages add up to 21 years. How old is Arjun?
  35. 35.Solve: 2n − 6 = 2. What is n?
  36. 36.Solve: p/2 + 18 = 22. What is p?
  37. 37.Aarav is 2 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  38. 38.Solve: 2p − 13 = 5. What is p?
  39. 39.Vivaan is 7 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  40. 40.Tara thinks of a number, multiplies it by 6 and then adds 24. The result is 30. What is the number?

Answer key

  1. 1
  2. 11
  3. 3
  4. 91
  5. 5
  6. 4
  7. 35
  8. 15
  9. 14
  10. 2
  11. 8
  12. 11
  13. 2
  14. 2
  15. 4
  16. 7
  17. 15
  18. 13
  19. 1
  20. 14
  21. 15
  22. 11
  23. 6
  24. 8
  25. 9
  26. 4
  27. 5
  28. 9
  29. 5
  30. 2
  31. 7
  32. 6
  33. 7
  34. 7
  35. 4
  36. 8
  37. 6
  38. 9
  39. 6
  40. 1

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