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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 478 · 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: x/3 + 11 = 26. What is x?
  2. 2.Solve: 6x − 18 = 72. What is x?
  3. 3.Sneha’s mother is twice as old as Sneha. Their ages add up to 15 years. How old is Sneha?
  4. 4.Solve: 2n + 10 = 30. What is n?
  5. 5.Rohan thinks of a number, multiplies it by 7 and then adds 22. The result is 43. What is the number?
  6. 6.Tara thinks of a number, multiplies it by 9 and then adds 21. The result is 48. What is the number?
  7. 7.Riya is 5 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  8. 8.Solve: p/9 + 13 = 28. What is p?
  9. 9.Solve: 6(m + 3) = 60. What is m?
  10. 10.Solve: 2y − 3 = 7. What is y?
  11. 11.Pooja is 2 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  12. 12.Solve: 6(n + 2) = 102. What is n?
  13. 13.Solve: 4(x + 8) = 40. What is x?
  14. 14.Priya thinks of a number, multiplies it by 5 and then adds 12. The result is 17. What is the number?
  15. 15.Solve: 5n + 4 = 59. What is n?
  16. 16.Tara is 5 years older than a cousin. Their ages add up to 35 years. How old is the cousin?
  17. 17.Solve: 6(t + 5) = 114. What is t?
  18. 18.Solve: 8(p + 1) = 16. What is p?
  19. 19.Gurpreet is 7 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  20. 20.Solve: 5(p + 8) = 45. What is p?
  21. 21.Solve: 2n + 1 = 13. What is n?
  22. 22.Aditya thinks of a number, multiplies it by 8 and then adds 22. The result is 110. What is the number?
  23. 23.Solve: 7t + 27 = 111. What is t?
  24. 24.Solve: 3n + 11 = 17. What is n?
  25. 25.Gurpreet thinks of a number, multiplies it by 3 and then adds 24. The result is 45. What is the number?
  26. 26.Solve: 4(t + 4) = 20. What is t?
  27. 27.Solve: 9m + 9 = 99. What is m?
  28. 28.Lakshmi thinks of a number, multiplies it by 6 and then adds 8. The result is 44. What is the number?
  29. 29.Solve: 2n − 13 = 7. What is n?
  30. 30.Solve: p/5 + 3 = 13. What is p?
  31. 31.Solve: 6(y + 9) = 90. What is y?
  32. 32.Nisha’s mother is twice as old as Nisha. Their ages add up to 15 years. How old is Nisha?
  33. 33.Vivaan thinks of a number, multiplies it by 2 and then adds 16. The result is 32. What is the number?
  34. 34.Diya is 2 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  35. 35.Solve: 3(m + 9) = 72. What is m?
  36. 36.Sneha is 7 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  37. 37.Manav is 4 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  38. 38.Solve: 3n − 2 = 1. What is n?
  39. 39.Solve: 4x − 8 = 8. What is x?
  40. 40.Nisha thinks of a number, multiplies it by 2 and then adds 25. The result is 27. What is the number?

Answer key

  1. 45
  2. 15
  3. 5
  4. 10
  5. 3
  6. 3
  7. 13
  8. 135
  9. 7
  10. 5
  11. 11
  12. 15
  13. 2
  14. 1
  15. 11
  16. 15
  17. 14
  18. 1
  19. 7
  20. 1
  21. 6
  22. 11
  23. 12
  24. 2
  25. 7
  26. 1
  27. 10
  28. 6
  29. 10
  30. 50
  31. 6
  32. 5
  33. 8
  34. 9
  35. 15
  36. 5
  37. 8
  38. 1
  39. 4
  40. 1

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