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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 125 · 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.Tara thinks of a number, multiplies it by 9 and then adds 28. The result is 73. What is the number?
  2. 2.Solve: n/5 + 12 = 21. What is n?
  3. 3.Solve: t/9 + 7 = 8. What is t?
  4. 4.Nisha thinks of a number, multiplies it by 4 and then adds 15. The result is 27. What is the number?
  5. 5.Solve: 7x + 6 = 20. What is x?
  6. 6.Solve: 2t − 11 = 15. What is t?
  7. 7.Solve: 7(p + 6) = 56. What is p?
  8. 8.Solve: 3x + 29 = 41. What is x?
  9. 9.Solve: 6x − 29 = 1. What is x?
  10. 10.Solve: 3(y + 3) = 18. What is y?
  11. 11.Solve: 7m − 13 = 1. What is m?
  12. 12.Solve: 8x − 1 = 7. What is x?
  13. 13.Nisha is 8 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  14. 14.Solve: 5(m + 6) = 55. What is m?
  15. 15.Solve: 4p − 2 = 2. What is p?
  16. 16.Solve: 4x − 17 = 3. What is x?
  17. 17.Arjun thinks of a number, multiplies it by 5 and then adds 16. The result is 41. What is the number?
  18. 18.Nisha thinks of a number, multiplies it by 7 and then adds 13. The result is 90. What is the number?
  19. 19.Solve: 6(m + 9) = 120. What is m?
  20. 20.Solve: 9(n + 2) = 54. What is n?
  21. 21.Manav’s mother is four times as old as Manav. Their ages add up to 45 years. How old is Manav?
  22. 22.Solve: 8n + 24 = 96. What is n?
  23. 23.Solve: 4(y + 9) = 56. What is y?
  24. 24.Solve: 7n + 22 = 71. What is n?
  25. 25.Saanvi is 5 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  26. 26.Solve: 8x − 7 = 1. What is x?
  27. 27.Solve: 3x + 13 = 16. What is x?
  28. 28.Rohan’s mother is three times as old as Rohan. Their ages add up to 20 years. How old is Rohan?
  29. 29.Solve: 6m + 20 = 26. What is m?
  30. 30.Pooja’s mother is four times as old as Pooja. Their ages add up to 45 years. How old is Pooja?
  31. 31.Isha is 1 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  32. 32.Karan’s mother is four times as old as Karan. Their ages add up to 35 years. How old is Karan?
  33. 33.Solve: 4(m + 7) = 68. What is m?
  34. 34.Rahul is 6 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  35. 35.Solve: 2t − 3 = 3. What is t?
  36. 36.Solve: 4(m + 3) = 28. What is m?
  37. 37.Solve: 5m + 8 = 18. What is m?
  38. 38.Solve: 4(m + 3) = 68. What is m?
  39. 39.Manav’s mother is three times as old as Manav. Their ages add up to 56 years. How old is Manav?
  40. 40.Solve: 3(x + 8) = 51. What is x?

Answer key

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

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