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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 20 · 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/8 + 4 = 13. What is p?
  2. 2.Kavya’s mother is three times as old as Kavya. Their ages add up to 24 years. How old is Kavya?
  3. 3.Solve: 3(p + 7) = 24. What is p?
  4. 4.Solve: 9n + 17 = 35. What is n?
  5. 5.Solve: 5n + 17 = 57. What is n?
  6. 6.Solve: 9x + 16 = 106. What is x?
  7. 7.Ishaan’s mother is three times as old as Ishaan. Their ages add up to 60 years. How old is Ishaan?
  8. 8.Ishaan’s mother is four times as old as Ishaan. Their ages add up to 55 years. How old is Ishaan?
  9. 9.Solve: 6(t + 5) = 114. What is t?
  10. 10.Joseph thinks of a number, multiplies it by 4 and then adds 9. The result is 45. What is the number?
  11. 11.Solve: 4(y + 8) = 68. What is y?
  12. 12.Farhan thinks of a number, multiplies it by 6 and then adds 24. The result is 96. What is the number?
  13. 13.Solve: 4t − 8 = 4. What is t?
  14. 14.Solve: n/4 + 19 = 23. What is n?
  15. 15.Solve: 9(y + 5) = 63. What is y?
  16. 16.Dev’s mother is four times as old as Dev. Their ages add up to 60 years. How old is Dev?
  17. 17.Solve: x/3 + 1 = 7. What is x?
  18. 18.Saanvi is 6 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  19. 19.Riya’s mother is four times as old as Riya. Their ages add up to 30 years. How old is Riya?
  20. 20.Ananya thinks of a number, multiplies it by 9 and then adds 17. The result is 89. What is the number?
  21. 21.Rohan is 1 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  22. 22.Solve: 3t − 34 = 8. What is t?
  23. 23.Solve: 7(m + 2) = 105. What is m?
  24. 24.Solve: 9(p + 2) = 153. What is p?
  25. 25.Solve: 2(y + 3) = 8. What is y?
  26. 26.Solve: 9m − 55 = 26. What is m?
  27. 27.Solve: 4n − 3 = 5. What is n?
  28. 28.Solve: 8x + 7 = 95. What is x?
  29. 29.Solve: 2p + 29 = 33. What is p?
  30. 30.Solve: 2m + 7 = 17. What is m?
  31. 31.Solve: 4y − 15 = 9. What is y?
  32. 32.Solve: 4(m + 8) = 40. What is m?
  33. 33.Solve: y/3 + 7 = 19. What is y?
  34. 34.Ananya’s mother is three times as old as Ananya. Their ages add up to 32 years. How old is Ananya?
  35. 35.Aditya is 1 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  36. 36.Arjun’s mother is three times as old as Arjun. Their ages add up to 24 years. How old is Arjun?
  37. 37.Solve: 6(m + 6) = 90. What is m?
  38. 38.Solve: m/2 + 16 = 18. What is m?
  39. 39.Solve: 5y + 13 = 18. What is y?
  40. 40.Solve: 3(p + 4) = 51. What is p?

Answer key

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

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