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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 974 · 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.Aarav thinks of a number, multiplies it by 7 and then adds 14. The result is 21. What is the number?
  2. 2.Solve: 4(t + 6) = 76. What is t?
  3. 3.Solve: 6n − 25 = 47. What is n?
  4. 4.Pooja thinks of a number, multiplies it by 3 and then adds 12. The result is 51. What is the number?
  5. 5.Solve: 9(p + 5) = 162. What is p?
  6. 6.Solve: 9(t + 3) = 162. What is t?
  7. 7.Solve: 7p + 30 = 135. What is p?
  8. 8.Arjun’s mother is twice as old as Arjun. Their ages add up to 33 years. How old is Arjun?
  9. 9.Solve: m/5 + 3 = 17. What is m?
  10. 10.Solve: 2m − 1 = 7. What is m?
  11. 11.Solve: y/3 + 4 = 9. What is y?
  12. 12.Solve: 2n + 17 = 31. What is n?
  13. 13.Vivaan is 7 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  14. 14.Manav is 6 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  15. 15.Aditya is 8 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  16. 16.Solve: 7x − 4 = 3. What is x?
  17. 17.Solve: 2x − 1 = 3. What is x?
  18. 18.Solve: n/7 + 5 = 13. What is n?
  19. 19.Aarav thinks of a number, multiplies it by 2 and then adds 20. The result is 42. What is the number?
  20. 20.Solve: 2p + 16 = 26. What is p?
  21. 21.Solve: 4p − 5 = 3. What is p?
  22. 22.Solve: 4t + 30 = 42. What is t?
  23. 23.Solve: 7(p + 1) = 14. What is p?
  24. 24.Pooja thinks of a number, multiplies it by 7 and then adds 29. The result is 43. What is the number?
  25. 25.Ishaan thinks of a number, multiplies it by 3 and then adds 2. The result is 29. What is the number?
  26. 26.Solve: 2n + 27 = 39. What is n?
  27. 27.Solve: 8(t + 4) = 120. What is t?
  28. 28.Solve: t/2 + 2 = 14. What is t?
  29. 29.Solve: 2y + 4 = 8. What is y?
  30. 30.Solve: m/6 + 15 = 19. What is m?
  31. 31.Solve: 3t + 10 = 34. What is t?
  32. 32.Ananya thinks of a number, multiplies it by 2 and then adds 15. The result is 25. What is the number?
  33. 33.Solve: 3t + 22 = 43. What is t?
  34. 34.Solve: 8(x + 3) = 32. What is x?
  35. 35.Tara is 3 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  36. 36.Solve: 6m + 3 = 87. What is m?
  37. 37.Solve: 4(y + 2) = 40. What is y?
  38. 38.Solve: 8p + 4 = 36. What is p?
  39. 39.Meera’s mother is twice as old as Meera. Their ages add up to 27 years. How old is Meera?
  40. 40.Solve: 4t + 10 = 14. What is t?

Answer key

  1. 1
  2. 13
  3. 12
  4. 13
  5. 13
  6. 15
  7. 15
  8. 11
  9. 70
  10. 4
  11. 15
  12. 7
  13. 8
  14. 10
  15. 8
  16. 1
  17. 2
  18. 56
  19. 11
  20. 5
  21. 2
  22. 3
  23. 1
  24. 2
  25. 9
  26. 6
  27. 11
  28. 24
  29. 2
  30. 24
  31. 8
  32. 5
  33. 7
  34. 1
  35. 5
  36. 14
  37. 8
  38. 4
  39. 9
  40. 1

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