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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 946 · 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: m/3 + 14 = 26. What is m?
  2. 2.Solve: 7n − 90 = 8. What is n?
  3. 3.Solve: 8(p + 7) = 176. What is p?
  4. 4.Solve: y/5 + 8 = 10. What is y?
  5. 5.Aditya is 6 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  6. 6.Solve: 2p + 21 = 31. What is p?
  7. 7.Saanvi is 8 years older than a cousin. Their ages add up to 38 years. How old is the cousin?
  8. 8.Arjun is 8 years older than a cousin. Their ages add up to 38 years. How old is the cousin?
  9. 9.Priya’s mother is twice as old as Priya. Their ages add up to 30 years. How old is Priya?
  10. 10.Solve: 9n − 63 = 36. What is n?
  11. 11.Solve: 7x − 7 = 14. What is x?
  12. 12.Solve: 2p + 15 = 37. What is p?
  13. 13.Solve: 7m − 9 = 47. What is m?
  14. 14.Solve: 7y − 8 = 48. What is y?
  15. 15.Solve: 8x + 4 = 28. What is x?
  16. 16.Solve: 5(n + 4) = 75. What is n?
  17. 17.Solve: 2(p + 7) = 16. What is p?
  18. 18.Arjun thinks of a number, multiplies it by 2 and then adds 7. The result is 23. What is the number?
  19. 19.Solve: x/3 + 13 = 26. What is x?
  20. 20.Solve: y/2 + 7 = 9. What is y?
  21. 21.Solve: n/6 + 10 = 14. What is n?
  22. 22.Ishaan’s mother is four times as old as Ishaan. Their ages add up to 55 years. How old is Ishaan?
  23. 23.Solve: 2p − 16 = 6. What is p?
  24. 24.Sneha’s mother is three times as old as Sneha. Their ages add up to 52 years. How old is Sneha?
  25. 25.Riya thinks of a number, multiplies it by 6 and then adds 2. The result is 62. What is the number?
  26. 26.Solve: 8t − 20 = 12. What is t?
  27. 27.Solve: 2(m + 1) = 32. What is m?
  28. 28.Solve: y/3 + 6 = 21. What is y?
  29. 29.Solve: 6n + 8 = 26. What is n?
  30. 30.Karan is 1 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  31. 31.Solve: y/9 + 10 = 13. What is y?
  32. 32.Solve: 5(x + 2) = 35. What is x?
  33. 33.Solve: 4n + 1 = 9. What is n?
  34. 34.Solve: 5n + 28 = 93. What is n?
  35. 35.Solve: 9x − 33 = 84. What is x?
  36. 36.Solve: x/2 + 5 = 17. What is x?
  37. 37.Solve: 6t + 26 = 98. What is t?
  38. 38.Sneha thinks of a number, multiplies it by 4 and then adds 19. The result is 79. What is the number?
  39. 39.Solve: x/2 + 4 = 15. What is x?
  40. 40.Lakshmi thinks of a number, multiplies it by 4 and then adds 24. The result is 56. What is the number?

Answer key

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

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