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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 2 · 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: m/3 + 4 = 10. What is m?
  2. 2.Zoya is 5 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  3. 3.Solve: 2(n + 3) = 8. What is n?
  4. 4.Solve: 8y + 18 = 106. What is y?
  5. 5.Diya’s mother is twice as old as Diya. Their ages add up to 36 years. How old is Diya?
  6. 6.Solve: 2n + 7 = 31. What is n?
  7. 7.Ishaan is 1 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  8. 8.Pooja is 8 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  9. 9.Solve: 6(y + 9) = 90. What is y?
  10. 10.Solve: 8t − 7 = 73. What is t?
  11. 11.Solve: 8x + 8 = 64. What is x?
  12. 12.Ananya’s mother is three times as old as Ananya. Their ages add up to 20 years. How old is Ananya?
  13. 13.Solve: 6(n + 6) = 48. What is n?
  14. 14.Solve: 5p + 2 = 17. What is p?
  15. 15.Solve: 2p + 29 = 49. What is p?
  16. 16.Tara’s mother is three times as old as Tara. Their ages add up to 60 years. How old is Tara?
  17. 17.Solve: 3m + 2 = 20. What is m?
  18. 18.Karan thinks of a number, multiplies it by 3 and then adds 8. The result is 35. What is the number?
  19. 19.Rohan’s mother is four times as old as Rohan. Their ages add up to 65 years. How old is Rohan?
  20. 20.Solve: x/9 + 12 = 25. What is x?
  21. 21.Solve: 5(y + 7) = 60. What is y?
  22. 22.Solve: 7x − 1 = 20. What is x?
  23. 23.Solve: 2t + 24 = 30. What is t?
  24. 24.Saanvi is 2 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  25. 25.Solve: x/6 + 6 = 18. What is x?
  26. 26.Lakshmi thinks of a number, multiplies it by 6 and then adds 3. The result is 69. What is the number?
  27. 27.Manav is 8 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  28. 28.Solve: m/6 + 19 = 33. What is m?
  29. 29.Solve: 2(x + 9) = 24. What is x?
  30. 30.Solve: 7(p + 3) = 63. What is p?
  31. 31.Solve: 2(y + 9) = 34. What is y?
  32. 32.Rohan’s mother is twice as old as Rohan. Their ages add up to 39 years. How old is Rohan?
  33. 33.Solve: 7p + 13 = 76. What is p?
  34. 34.Solve: 6p − 73 = 5. What is p?
  35. 35.Solve: 9m + 5 = 140. What is m?
  36. 36.Solve: 7(t + 4) = 133. What is t?
  37. 37.Solve: 5n − 34 = 11. What is n?
  38. 38.Solve: x/2 + 3 = 6. What is x?
  39. 39.Solve: y/4 + 12 = 17. What is y?
  40. 40.Solve: 5x − 20 = 5. What is x?

Answer key

  1. 18
  2. 12
  3. 1
  4. 11
  5. 12
  6. 12
  7. 15
  8. 4
  9. 6
  10. 10
  11. 7
  12. 5
  13. 2
  14. 3
  15. 10
  16. 15
  17. 6
  18. 9
  19. 13
  20. 117
  21. 5
  22. 3
  23. 3
  24. 14
  25. 72
  26. 11
  27. 4
  28. 84
  29. 3
  30. 6
  31. 8
  32. 13
  33. 9
  34. 13
  35. 15
  36. 15
  37. 9
  38. 6
  39. 20
  40. 5

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