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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 501 · 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.Aarav thinks of a number, multiplies it by 6 and then adds 7. The result is 19. What is the number?
  2. 2.Solve: 7x − 30 = 40. What is x?
  3. 3.Solve: 3n − 25 = 5. What is n?
  4. 4.Aarav’s mother is twice as old as Aarav. Their ages add up to 12 years. How old is Aarav?
  5. 5.Solve: 2t + 4 = 16. What is t?
  6. 6.Solve: 9p + 11 = 56. What is p?
  7. 7.Vivaan’s mother is twice as old as Vivaan. Their ages add up to 18 years. How old is Vivaan?
  8. 8.Solve: n/3 + 1 = 7. What is n?
  9. 9.Diya thinks of a number, multiplies it by 6 and then adds 9. The result is 69. What is the number?
  10. 10.Solve: x/3 + 5 = 15. What is x?
  11. 11.Rohan thinks of a number, multiplies it by 3 and then adds 20. The result is 35. What is the number?
  12. 12.Vivaan thinks of a number, multiplies it by 6 and then adds 23. The result is 29. What is the number?
  13. 13.Solve: 2(y + 8) = 22. What is y?
  14. 14.Solve: m/4 + 18 = 29. What is m?
  15. 15.Solve: n/8 + 3 = 14. What is n?
  16. 16.Farhan is 3 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  17. 17.Solve: m/4 + 6 = 21. What is m?
  18. 18.Joseph thinks of a number, multiplies it by 8 and then adds 20. The result is 124. What is the number?
  19. 19.Solve: 8y + 5 = 13. What is y?
  20. 20.Riya is 3 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  21. 21.Solve: 5n − 5 = 10. What is n?
  22. 22.Solve: 5y + 28 = 73. What is y?
  23. 23.Solve: 7p − 1 = 27. What is p?
  24. 24.Solve: 9(t + 4) = 99. What is t?
  25. 25.Diya’s mother is three times as old as Diya. Their ages add up to 36 years. How old is Diya?
  26. 26.Solve: 8(y + 7) = 128. What is y?
  27. 27.Solve: y/5 + 3 = 16. What is y?
  28. 28.Solve: 4(p + 7) = 84. What is p?
  29. 29.Solve: 4p + 19 = 27. What is p?
  30. 30.Solve: 7m − 25 = 45. What is m?
  31. 31.Farhan is 1 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
  32. 32.Solve: 4m + 22 = 34. What is m?
  33. 33.Solve: 4y − 21 = 27. What is y?
  34. 34.Solve: 9n − 35 = 10. What is n?
  35. 35.Manav thinks of a number, multiplies it by 2 and then adds 15. The result is 21. What is the number?
  36. 36.Solve: x/6 + 6 = 12. What is x?
  37. 37.Meera thinks of a number, multiplies it by 7 and then adds 4. The result is 25. What is the number?
  38. 38.Solve: 8(p + 3) = 80. What is p?
  39. 39.Ananya’s mother is twice as old as Ananya. Their ages add up to 45 years. How old is Ananya?
  40. 40.Rohan’s mother is four times as old as Rohan. Their ages add up to 60 years. How old is Rohan?

Answer key

  1. 2
  2. 10
  3. 10
  4. 4
  5. 6
  6. 5
  7. 6
  8. 18
  9. 10
  10. 30
  11. 5
  12. 1
  13. 3
  14. 44
  15. 88
  16. 10
  17. 60
  18. 13
  19. 1
  20. 12
  21. 3
  22. 9
  23. 4
  24. 7
  25. 9
  26. 9
  27. 65
  28. 14
  29. 2
  30. 10
  31. 5
  32. 3
  33. 12
  34. 5
  35. 3
  36. 36
  37. 3
  38. 7
  39. 15
  40. 12

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