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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 158 · 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: 9t − 10 = 107. What is t?
  2. 2.Riya is 4 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  3. 3.Solve: 6(m + 3) = 24. What is m?
  4. 4.Lakshmi is 3 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  5. 5.Solve: 4y + 5 = 37. What is y?
  6. 6.Solve: 9(n + 7) = 180. What is n?
  7. 7.Solve: 8(p + 1) = 24. What is p?
  8. 8.Solve: 9(t + 8) = 135. What is t?
  9. 9.Solve: y/7 + 12 = 24. What is y?
  10. 10.Solve: 4p + 21 = 69. What is p?
  11. 11.Farhan thinks of a number, multiplies it by 4 and then adds 29. The result is 53. What is the number?
  12. 12.Solve: y/4 + 9 = 14. What is y?
  13. 13.Solve: 2x − 17 = 1. What is x?
  14. 14.Solve: 7p + 17 = 73. What is p?
  15. 15.Solve: 8t − 2 = 30. What is t?
  16. 16.Isha’s mother is twice as old as Isha. Their ages add up to 24 years. How old is Isha?
  17. 17.Solve: 6(p + 8) = 90. What is p?
  18. 18.Solve: p/7 + 8 = 11. What is p?
  19. 19.Solve: 6y − 68 = 10. What is y?
  20. 20.Arjun is 6 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  21. 21.Solve: 6(m + 4) = 30. What is m?
  22. 22.Solve: m/5 + 19 = 34. What is m?
  23. 23.Nisha thinks of a number, multiplies it by 2 and then adds 21. The result is 47. What is the number?
  24. 24.Solve: x/4 + 20 = 25. What is x?
  25. 25.Solve: 5m + 4 = 19. What is m?
  26. 26.Solve: p/2 + 8 = 13. What is p?
  27. 27.Arjun thinks of a number, multiplies it by 6 and then adds 14. The result is 32. What is the number?
  28. 28.Solve: 2x − 25 = 3. What is x?
  29. 29.Solve: 3p − 2 = 19. What is p?
  30. 30.Farhan is 1 years older than a cousin. Their ages add up to 9 years. How old is the cousin?
  31. 31.Solve: 2m + 17 = 19. What is m?
  32. 32.Solve: 8n − 22 = 2. What is n?
  33. 33.Solve: 9n + 27 = 117. What is n?
  34. 34.Kabir thinks of a number, multiplies it by 3 and then adds 7. The result is 10. What is the number?
  35. 35.Solve: p/9 + 1 = 15. What is p?
  36. 36.Sneha’s mother is four times as old as Sneha. Their ages add up to 65 years. How old is Sneha?
  37. 37.Solve: p/8 + 9 = 15. What is p?
  38. 38.Solve: 3y + 28 = 61. What is y?
  39. 39.Ishaan is 8 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  40. 40.Solve: x/7 + 12 = 13. What is x?

Answer key

  1. 13
  2. 6
  3. 1
  4. 9
  5. 8
  6. 13
  7. 2
  8. 7
  9. 84
  10. 12
  11. 6
  12. 20
  13. 9
  14. 8
  15. 4
  16. 8
  17. 7
  18. 21
  19. 13
  20. 6
  21. 1
  22. 75
  23. 13
  24. 20
  25. 3
  26. 10
  27. 3
  28. 14
  29. 7
  30. 4
  31. 1
  32. 3
  33. 10
  34. 1
  35. 126
  36. 13
  37. 48
  38. 11
  39. 5
  40. 7

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