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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 772 · 40 sums
TalentJR

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: 7(m + 1) = 70. What is m?
  2. 2.Solve: x/3 + 19 = 22. What is x?
  3. 3.Solve: 7y + 24 = 122. What is y?
  4. 4.Solve: 4y + 8 = 40. What is y?
  5. 5.Farhan thinks of a number, multiplies it by 3 and then adds 8. The result is 20. What is the number?
  6. 6.Solve: 6n + 23 = 53. What is n?
  7. 7.Solve: 7x + 22 = 120. What is x?
  8. 8.Solve: 3x + 1 = 10. What is x?
  9. 9.Solve: 6t − 8 = 34. What is t?
  10. 10.Solve: 2m − 10 = 10. What is m?
  11. 11.Solve: 9p − 56 = 34. What is p?
  12. 12.Ishaan is 6 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  13. 13.Solve: x/8 + 11 = 21. What is x?
  14. 14.Solve: 8m + 9 = 81. What is m?
  15. 15.Isha’s mother is twice as old as Isha. Their ages add up to 39 years. How old is Isha?
  16. 16.Vivaan is 1 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  17. 17.Solve: y/3 + 2 = 5. What is y?
  18. 18.Solve: 7(x + 7) = 119. What is x?
  19. 19.Aditya is 7 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  20. 20.Solve: n/4 + 12 = 16. What is n?
  21. 21.Solve: 2y + 13 = 31. What is y?
  22. 22.Solve: 7t + 23 = 121. What is t?
  23. 23.Solve: t/3 + 18 = 20. What is t?
  24. 24.Solve: 6m + 26 = 74. What is m?
  25. 25.Solve: t/6 + 18 = 23. What is t?
  26. 26.Solve: 4n + 21 = 25. What is n?
  27. 27.Solve: y/5 + 9 = 18. What is y?
  28. 28.Diya thinks of a number, multiplies it by 9 and then adds 21. The result is 93. What is the number?
  29. 29.Solve: 6(p + 7) = 84. What is p?
  30. 30.Solve: 5t − 65 = 10. What is t?
  31. 31.Solve: 2(p + 7) = 38. What is p?
  32. 32.Arjun’s mother is three times as old as Arjun. Their ages add up to 16 years. How old is Arjun?
  33. 33.Nisha thinks of a number, multiplies it by 6 and then adds 1. The result is 31. What is the number?
  34. 34.Meera thinks of a number, multiplies it by 5 and then adds 19. The result is 94. What is the number?
  35. 35.Solve: 8x − 58 = 38. What is x?
  36. 36.Solve: 6(y + 1) = 60. What is y?
  37. 37.Solve: x/2 + 7 = 21. What is x?
  38. 38.Solve: 7y − 17 = 18. What is y?
  39. 39.Sneha thinks of a number, multiplies it by 7 and then adds 10. The result is 38. What is the number?
  40. 40.Priya’s mother is three times as old as Priya. Their ages add up to 28 years. How old is Priya?

Answer key

  1. 9
  2. 9
  3. 14
  4. 8
  5. 4
  6. 5
  7. 14
  8. 3
  9. 7
  10. 10
  11. 10
  12. 6
  13. 80
  14. 9
  15. 13
  16. 7
  17. 9
  18. 10
  19. 4
  20. 16
  21. 9
  22. 14
  23. 6
  24. 8
  25. 30
  26. 1
  27. 45
  28. 8
  29. 7
  30. 15
  31. 12
  32. 4
  33. 5
  34. 15
  35. 12
  36. 9
  37. 28
  38. 5
  39. 4
  40. 7

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