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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 152 · 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: 2(p + 8) = 20. What is p?
  2. 2.Solve: 2x − 1 = 13. What is x?
  3. 3.Meera thinks of a number, multiplies it by 8 and then adds 23. The result is 39. What is the number?
  4. 4.Aarav thinks of a number, multiplies it by 8 and then adds 9. The result is 41. What is the number?
  5. 5.Nisha thinks of a number, multiplies it by 8 and then adds 25. The result is 41. What is the number?
  6. 6.Solve: 7y − 6 = 64. What is y?
  7. 7.Solve: 4m − 8 = 24. What is m?
  8. 8.Solve: 2n + 30 = 60. What is n?
  9. 9.Isha’s mother is three times as old as Isha. Their ages add up to 32 years. How old is Isha?
  10. 10.Solve: 3m − 25 = 2. What is m?
  11. 11.Saanvi thinks of a number, multiplies it by 4 and then adds 27. The result is 31. What is the number?
  12. 12.Solve: 4m − 3 = 5. What is m?
  13. 13.Solve: t/2 + 6 = 8. What is t?
  14. 14.Solve: 6x − 18 = 18. What is x?
  15. 15.Kabir thinks of a number, multiplies it by 7 and then adds 4. The result is 25. What is the number?
  16. 16.Solve: 2n − 1 = 1. What is n?
  17. 17.Solve: n/3 + 1 = 6. What is n?
  18. 18.Solve: 4m + 4 = 64. What is m?
  19. 19.Solve: n/4 + 2 = 15. What is n?
  20. 20.Solve: 7(m + 7) = 77. What is m?
  21. 21.Solve: 9t − 30 = 69. What is t?
  22. 22.Solve: x/9 + 19 = 32. What is x?
  23. 23.Tara thinks of a number, multiplies it by 4 and then adds 1. The result is 25. What is the number?
  24. 24.Nisha is 4 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  25. 25.Solve: y/2 + 16 = 18. What is y?
  26. 26.Isha is 2 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  27. 27.Solve: x/8 + 2 = 17. What is x?
  28. 28.Solve: 5(t + 2) = 25. What is t?
  29. 29.Priya is 4 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  30. 30.Solve: n/8 + 16 = 21. What is n?
  31. 31.Solve: 5x + 6 = 61. What is x?
  32. 32.Solve: 2(y + 1) = 12. What is y?
  33. 33.Solve: 9x − 5 = 4. What is x?
  34. 34.Solve: 9n − 54 = 81. What is n?
  35. 35.Aarav’s mother is twice as old as Aarav. Their ages add up to 30 years. How old is Aarav?
  36. 36.Solve: 3(n + 4) = 30. What is n?
  37. 37.Zoya thinks of a number, multiplies it by 2 and then adds 8. The result is 28. What is the number?
  38. 38.Solve: 7t − 4 = 80. What is t?
  39. 39.Priya thinks of a number, multiplies it by 9 and then adds 28. The result is 127. What is the number?
  40. 40.Pooja thinks of a number, multiplies it by 9 and then adds 9. The result is 27. What is the number?

Answer key

  1. 2
  2. 7
  3. 2
  4. 4
  5. 2
  6. 10
  7. 8
  8. 15
  9. 8
  10. 9
  11. 1
  12. 2
  13. 4
  14. 6
  15. 3
  16. 1
  17. 15
  18. 15
  19. 52
  20. 4
  21. 11
  22. 117
  23. 6
  24. 15
  25. 4
  26. 15
  27. 120
  28. 3
  29. 10
  30. 40
  31. 11
  32. 5
  33. 1
  34. 15
  35. 10
  36. 6
  37. 10
  38. 12
  39. 11
  40. 2

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