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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 594 · 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: p/7 + 5 = 9. What is p?
  2. 2.Solve: 5(p + 8) = 60. What is p?
  3. 3.Aarav’s mother is four times as old as Aarav. Their ages add up to 35 years. How old is Aarav?
  4. 4.Solve: 6x + 26 = 68. What is x?
  5. 5.Manav is 6 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  6. 6.Farhan thinks of a number, multiplies it by 9 and then adds 17. The result is 35. What is the number?
  7. 7.Solve: n/5 + 2 = 13. What is n?
  8. 8.Solve: 5(n + 8) = 70. What is n?
  9. 9.Solve: y/6 + 10 = 16. What is y?
  10. 10.Riya is 5 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  11. 11.Manav is 4 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  12. 12.Diya thinks of a number, multiplies it by 4 and then adds 11. The result is 71. What is the number?
  13. 13.Solve: 8x + 24 = 112. What is x?
  14. 14.Solve: 7(p + 1) = 91. What is p?
  15. 15.Priya is 1 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  16. 16.Pooja is 2 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  17. 17.Nisha is 4 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  18. 18.Priya thinks of a number, multiplies it by 8 and then adds 16. The result is 128. What is the number?
  19. 19.Isha thinks of a number, multiplies it by 7 and then adds 9. The result is 86. What is the number?
  20. 20.Solve: 4(t + 8) = 76. What is t?
  21. 21.Manav thinks of a number, multiplies it by 2 and then adds 1. The result is 17. What is the number?
  22. 22.Saanvi’s mother is three times as old as Saanvi. Their ages add up to 28 years. How old is Saanvi?
  23. 23.Solve: 2p − 11 = 7. What is p?
  24. 24.Solve: 2(y + 7) = 32. What is y?
  25. 25.Solve: 3m + 13 = 34. What is m?
  26. 26.Solve: 2t + 18 = 26. What is t?
  27. 27.Solve: 4(t + 8) = 36. What is t?
  28. 28.Kavya is 7 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  29. 29.Solve: y/6 + 4 = 10. What is y?
  30. 30.Solve: 6x − 36 = 24. What is x?
  31. 31.Solve: t/2 + 12 = 20. What is t?
  32. 32.Solve: 2p − 1 = 1. What is p?
  33. 33.Solve: t/2 + 10 = 19. What is t?
  34. 34.Solve: 7n + 17 = 31. What is n?
  35. 35.Lakshmi thinks of a number, multiplies it by 5 and then adds 14. The result is 44. What is the number?
  36. 36.Solve: n/6 + 19 = 27. What is n?
  37. 37.Isha’s mother is twice as old as Isha. Their ages add up to 21 years. How old is Isha?
  38. 38.Solve: 4t − 48 = 12. What is t?
  39. 39.Solve: 2(p + 3) = 22. What is p?
  40. 40.Solve: 9n − 58 = 68. What is n?

Answer key

  1. 28
  2. 4
  3. 7
  4. 7
  5. 9
  6. 2
  7. 55
  8. 6
  9. 36
  10. 8
  11. 14
  12. 15
  13. 11
  14. 12
  15. 13
  16. 12
  17. 9
  18. 14
  19. 11
  20. 11
  21. 8
  22. 7
  23. 9
  24. 9
  25. 7
  26. 4
  27. 1
  28. 5
  29. 36
  30. 10
  31. 16
  32. 1
  33. 18
  34. 2
  35. 6
  36. 48
  37. 7
  38. 15
  39. 8
  40. 14

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