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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 25 · 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: 7n − 14 = 49. What is n?
  2. 2.Aarav is 1 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  3. 3.Ananya is 4 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  4. 4.Solve: 3(t + 3) = 24. What is t?
  5. 5.Solve: 4m + 21 = 37. What is m?
  6. 6.Solve: n/6 + 6 = 15. What is n?
  7. 7.Manav’s mother is three times as old as Manav. Their ages add up to 20 years. How old is Manav?
  8. 8.Solve: 3m + 20 = 41. What is m?
  9. 9.Rahul’s mother is twice as old as Rahul. Their ages add up to 27 years. How old is Rahul?
  10. 10.Vivaan’s mother is three times as old as Vivaan. Their ages add up to 32 years. How old is Vivaan?
  11. 11.Solve: 9x − 19 = 53. What is x?
  12. 12.Nisha thinks of a number, multiplies it by 4 and then adds 17. The result is 21. What is the number?
  13. 13.Solve: 3n + 8 = 50. What is n?
  14. 14.Solve: 3(n + 5) = 24. What is n?
  15. 15.Gurpreet thinks of a number, multiplies it by 4 and then adds 28. The result is 72. What is the number?
  16. 16.Solve: p/7 + 15 = 22. What is p?
  17. 17.Solve: 2t + 4 = 14. What is t?
  18. 18.Solve: 9(t + 3) = 117. What is t?
  19. 19.Solve: 5(m + 8) = 85. What is m?
  20. 20.Saanvi thinks of a number, multiplies it by 7 and then adds 3. The result is 38. What is the number?
  21. 21.Solve: y/8 + 10 = 23. What is y?
  22. 22.Solve: x/4 + 3 = 4. What is x?
  23. 23.Solve: 9y − 1 = 8. What is y?
  24. 24.Rohan thinks of a number, multiplies it by 7 and then adds 3. The result is 45. What is the number?
  25. 25.Pooja’s mother is three times as old as Pooja. Their ages add up to 44 years. How old is Pooja?
  26. 26.Solve: 8t − 19 = 13. What is t?
  27. 27.Solve: 6x − 5 = 1. What is x?
  28. 28.Nisha is 8 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  29. 29.Solve: 2x − 2 = 6. What is x?
  30. 30.Solve: 6(n + 6) = 60. What is n?
  31. 31.Solve: 9p + 15 = 105. What is p?
  32. 32.Solve: 8(y + 8) = 160. What is y?
  33. 33.Isha is 6 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  34. 34.Meera is 5 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  35. 35.Kabir is 4 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  36. 36.Solve: 3y + 5 = 29. What is y?
  37. 37.Farhan thinks of a number, multiplies it by 5 and then adds 4. The result is 54. What is the number?
  38. 38.Solve: 2(m + 3) = 22. What is m?
  39. 39.Solve: n/6 + 3 = 12. What is n?
  40. 40.Solve: 2t + 9 = 27. What is t?

Answer key

  1. 9
  2. 12
  3. 8
  4. 5
  5. 4
  6. 54
  7. 5
  8. 7
  9. 9
  10. 8
  11. 8
  12. 1
  13. 14
  14. 3
  15. 11
  16. 49
  17. 5
  18. 10
  19. 9
  20. 5
  21. 104
  22. 4
  23. 1
  24. 6
  25. 11
  26. 4
  27. 1
  28. 13
  29. 4
  30. 4
  31. 10
  32. 12
  33. 4
  34. 9
  35. 6
  36. 8
  37. 10
  38. 8
  39. 54
  40. 9

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