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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 146 · 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: x/9 + 18 = 24. What is x?
  2. 2.Aditya thinks of a number, multiplies it by 7 and then adds 17. The result is 31. What is the number?
  3. 3.Solve: 5m − 21 = 29. What is m?
  4. 4.Solve: 3(x + 6) = 36. What is x?
  5. 5.Arjun thinks of a number, multiplies it by 5 and then adds 7. The result is 62. What is the number?
  6. 6.Solve: 7y − 4 = 10. What is y?
  7. 7.Diya thinks of a number, multiplies it by 5 and then adds 17. The result is 57. What is the number?
  8. 8.Solve: 2y − 15 = 5. What is y?
  9. 9.Solve: t/4 + 6 = 11. What is t?
  10. 10.Solve: 2t − 2 = 2. What is t?
  11. 11.Solve: 8p − 38 = 82. What is p?
  12. 12.Solve: 4x + 2 = 34. What is x?
  13. 13.Farhan’s mother is twice as old as Farhan. Their ages add up to 33 years. How old is Farhan?
  14. 14.Solve: 9x + 18 = 126. What is x?
  15. 15.Solve: 6(y + 7) = 108. What is y?
  16. 16.Saanvi is 1 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  17. 17.Ishaan is 2 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  18. 18.Solve: 9m + 9 = 108. What is m?
  19. 19.Manav thinks of a number, multiplies it by 4 and then adds 30. The result is 90. What is the number?
  20. 20.Solve: 6m + 2 = 92. What is m?
  21. 21.Vivaan is 4 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  22. 22.Solve: 5(t + 7) = 80. What is t?
  23. 23.Solve: y/3 + 14 = 28. What is y?
  24. 24.Kavya thinks of a number, multiplies it by 8 and then adds 15. The result is 23. What is the number?
  25. 25.Solve: 4n − 7 = 25. What is n?
  26. 26.Solve: 3p + 6 = 42. What is p?
  27. 27.Solve: 3(p + 7) = 33. What is p?
  28. 28.Solve: 7(y + 1) = 35. What is y?
  29. 29.Arjun is 3 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  30. 30.Solve: 8n − 29 = 35. What is n?
  31. 31.Solve: p/2 + 20 = 26. What is p?
  32. 32.Solve: 5y − 10 = 30. What is y?
  33. 33.Tara is 7 years older than a cousin. Their ages add up to 37 years. How old is the cousin?
  34. 34.Meera’s mother is twice as old as Meera. Their ages add up to 30 years. How old is Meera?
  35. 35.Solve: x/2 + 4 = 19. What is x?
  36. 36.Solve: t/3 + 13 = 15. What is t?
  37. 37.Diya’s mother is twice as old as Diya. Their ages add up to 39 years. How old is Diya?
  38. 38.Solve: 9y − 4 = 23. What is y?
  39. 39.Solve: 9(x + 5) = 54. What is x?
  40. 40.Solve: y/4 + 12 = 25. What is y?

Answer key

  1. 54
  2. 2
  3. 10
  4. 6
  5. 11
  6. 2
  7. 8
  8. 10
  9. 20
  10. 2
  11. 15
  12. 8
  13. 11
  14. 12
  15. 11
  16. 15
  17. 11
  18. 11
  19. 15
  20. 15
  21. 8
  22. 9
  23. 42
  24. 1
  25. 8
  26. 12
  27. 4
  28. 4
  29. 5
  30. 8
  31. 12
  32. 8
  33. 15
  34. 10
  35. 30
  36. 6
  37. 13
  38. 3
  39. 1
  40. 52

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