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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 62 · 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(y + 7) = 30. What is y?
  2. 2.Diya thinks of a number, multiplies it by 9 and then adds 3. The result is 57. What is the number?
  3. 3.Solve: 2p + 5 = 13. What is p?
  4. 4.Nisha thinks of a number, multiplies it by 5 and then adds 19. The result is 54. What is the number?
  5. 5.Solve: n/3 + 17 = 22. What is n?
  6. 6.Ananya thinks of a number, multiplies it by 5 and then adds 3. The result is 23. What is the number?
  7. 7.Solve: m/7 + 4 = 10. What is m?
  8. 8.Solve: 3(m + 3) = 45. What is m?
  9. 9.Solve: 4(y + 3) = 20. What is y?
  10. 10.Karan thinks of a number, multiplies it by 2 and then adds 30. The result is 32. What is the number?
  11. 11.Solve: 7(t + 8) = 140. What is t?
  12. 12.Solve: 6p + 27 = 105. What is p?
  13. 13.Priya’s mother is twice as old as Priya. Their ages add up to 42 years. How old is Priya?
  14. 14.Solve: 5(m + 3) = 85. What is m?
  15. 15.Solve: 6(m + 1) = 12. What is m?
  16. 16.Solve: y/7 + 2 = 10. What is y?
  17. 17.Aarav thinks of a number, multiplies it by 4 and then adds 6. The result is 30. What is the number?
  18. 18.Tara thinks of a number, multiplies it by 2 and then adds 4. The result is 20. What is the number?
  19. 19.Solve: 7t + 7 = 35. What is t?
  20. 20.Solve: 7y + 6 = 27. What is y?
  21. 21.Solve: 3y − 18 = 12. What is y?
  22. 22.Tara thinks of a number, multiplies it by 3 and then adds 1. The result is 4. What is the number?
  23. 23.Solve: 2p − 1 = 1. What is p?
  24. 24.Solve: 6m + 28 = 34. What is m?
  25. 25.Solve: 8(y + 9) = 152. What is y?
  26. 26.Solve: 9m + 7 = 106. What is m?
  27. 27.Solve: 9y + 8 = 80. What is y?
  28. 28.Solve: p/8 + 20 = 33. What is p?
  29. 29.Solve: 9m + 29 = 65. What is m?
  30. 30.Solve: 7y − 5 = 9. What is y?
  31. 31.Solve: x/8 + 9 = 24. What is x?
  32. 32.Solve: y/7 + 9 = 22. What is y?
  33. 33.Solve: 8n + 20 = 60. What is n?
  34. 34.Solve: 9y + 3 = 21. What is y?
  35. 35.Saanvi is 8 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  36. 36.Solve: 6(t + 9) = 84. What is t?
  37. 37.Solve: 9(n + 7) = 153. What is n?
  38. 38.Solve: 2(n + 1) = 16. What is n?
  39. 39.Rohan is 4 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  40. 40.Solve: 4p − 3 = 1. What is p?

Answer key

  1. 8
  2. 6
  3. 4
  4. 7
  5. 15
  6. 4
  7. 42
  8. 12
  9. 2
  10. 1
  11. 12
  12. 13
  13. 14
  14. 14
  15. 1
  16. 56
  17. 6
  18. 8
  19. 4
  20. 3
  21. 10
  22. 1
  23. 1
  24. 1
  25. 10
  26. 11
  27. 8
  28. 104
  29. 4
  30. 2
  31. 120
  32. 91
  33. 5
  34. 2
  35. 13
  36. 5
  37. 10
  38. 7
  39. 11
  40. 1

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