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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 407 · 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: 3y − 1 = 11. What is y?
  2. 2.Solve: t/8 + 6 = 18. What is t?
  3. 3.Sneha thinks of a number, multiplies it by 7 and then adds 8. The result is 29. What is the number?
  4. 4.Arjun thinks of a number, multiplies it by 7 and then adds 14. The result is 70. What is the number?
  5. 5.Solve: 2x − 23 = 1. What is x?
  6. 6.Solve: 7y + 16 = 30. What is y?
  7. 7.Solve: 8n + 13 = 21. What is n?
  8. 8.Rohan is 7 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  9. 9.Solve: 2(t + 6) = 40. What is t?
  10. 10.Solve: t/5 + 10 = 11. What is t?
  11. 11.Solve: 8m − 4 = 4. What is m?
  12. 12.Isha thinks of a number, multiplies it by 6 and then adds 17. The result is 89. What is the number?
  13. 13.Aarav is 6 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  14. 14.Solve: 6n − 15 = 9. What is n?
  15. 15.Gurpreet thinks of a number, multiplies it by 4 and then adds 2. The result is 34. What is the number?
  16. 16.Solve: 7m − 18 = 38. What is m?
  17. 17.Solve: m/2 + 5 = 9. What is m?
  18. 18.Solve: 7p − 9 = 19. What is p?
  19. 19.Solve: n/2 + 19 = 28. What is n?
  20. 20.Nisha thinks of a number, multiplies it by 9 and then adds 13. The result is 67. What is the number?
  21. 21.Solve: 8m + 12 = 132. What is m?
  22. 22.Solve: 3m − 1 = 2. What is m?
  23. 23.Nisha’s mother is three times as old as Nisha. Their ages add up to 56 years. How old is Nisha?
  24. 24.Lakshmi thinks of a number, multiplies it by 8 and then adds 3. The result is 51. What is the number?
  25. 25.Meera thinks of a number, multiplies it by 4 and then adds 15. The result is 51. What is the number?
  26. 26.Solve: 6m + 1 = 37. What is m?
  27. 27.Solve: 3(x + 5) = 30. What is x?
  28. 28.Solve: t/8 + 3 = 8. What is t?
  29. 29.Solve: 9x − 57 = 24. What is x?
  30. 30.Solve: 2n + 7 = 29. What is n?
  31. 31.Solve: 4n + 21 = 77. What is n?
  32. 32.Solve: m/6 + 8 = 10. What is m?
  33. 33.Solve: n/9 + 5 = 7. What is n?
  34. 34.Solve: 7y − 80 = 25. What is y?
  35. 35.Solve: y/7 + 18 = 21. What is y?
  36. 36.Tara thinks of a number, multiplies it by 5 and then adds 2. The result is 7. What is the number?
  37. 37.Solve: 6p − 61 = 5. What is p?
  38. 38.Solve: 9n + 16 = 88. What is n?
  39. 39.Solve: 2(t + 4) = 28. What is t?
  40. 40.Solve: p/8 + 14 = 18. What is p?

Answer key

  1. 4
  2. 96
  3. 3
  4. 8
  5. 12
  6. 2
  7. 1
  8. 11
  9. 14
  10. 5
  11. 1
  12. 12
  13. 7
  14. 4
  15. 8
  16. 8
  17. 8
  18. 4
  19. 18
  20. 6
  21. 15
  22. 1
  23. 14
  24. 6
  25. 9
  26. 6
  27. 5
  28. 40
  29. 9
  30. 11
  31. 14
  32. 12
  33. 18
  34. 15
  35. 21
  36. 1
  37. 11
  38. 8
  39. 10
  40. 32

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