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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 935 · 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.Zoya’s mother is four times as old as Zoya. Their ages add up to 45 years. How old is Zoya?
  2. 2.Aarav is 2 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  3. 3.Joseph is 1 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  4. 4.Solve: 4(y + 6) = 80. What is y?
  5. 5.Solve: 8(n + 1) = 80. What is n?
  6. 6.Solve: x/3 + 15 = 27. What is x?
  7. 7.Solve: 3(m + 5) = 24. What is m?
  8. 8.Solve: 4(p + 5) = 32. What is p?
  9. 9.Zoya thinks of a number, multiplies it by 4 and then adds 11. The result is 19. What is the number?
  10. 10.Solve: 3(m + 4) = 27. What is m?
  11. 11.Solve: t/7 + 20 = 34. What is t?
  12. 12.Solve: 9x + 25 = 133. What is x?
  13. 13.Solve: 7t + 11 = 18. What is t?
  14. 14.Ananya thinks of a number, multiplies it by 8 and then adds 17. The result is 41. What is the number?
  15. 15.Manav is 1 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  16. 16.Solve: 8n + 13 = 101. What is n?
  17. 17.Solve: 7n − 35 = 56. What is n?
  18. 18.Solve: 2y − 1 = 21. What is y?
  19. 19.Solve: 7m − 22 = 27. What is m?
  20. 20.Solve: 7(p + 2) = 56. What is p?
  21. 21.Isha’s mother is four times as old as Isha. Their ages add up to 30 years. How old is Isha?
  22. 22.Solve: 2x + 1 = 13. What is x?
  23. 23.Vivaan is 5 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  24. 24.Solve: 8y + 2 = 26. What is y?
  25. 25.Ishaan is 7 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  26. 26.Solve: 7p + 1 = 57. What is p?
  27. 27.Solve: 2m + 1 = 3. What is m?
  28. 28.Aditya’s mother is four times as old as Aditya. Their ages add up to 30 years. How old is Aditya?
  29. 29.Solve: 2(m + 7) = 36. What is m?
  30. 30.Aditya’s mother is twice as old as Aditya. Their ages add up to 12 years. How old is Aditya?
  31. 31.Meera is 8 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  32. 32.Solve: 7t + 14 = 77. What is t?
  33. 33.Solve: 4x − 3 = 5. What is x?
  34. 34.Zoya is 6 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  35. 35.Zoya thinks of a number, multiplies it by 9 and then adds 10. The result is 100. What is the number?
  36. 36.Lakshmi thinks of a number, multiplies it by 2 and then adds 30. The result is 42. What is the number?
  37. 37.Solve: 7t − 4 = 3. What is t?
  38. 38.Solve: 2n + 30 = 60. What is n?
  39. 39.Aarav thinks of a number, multiplies it by 5 and then adds 9. The result is 24. What is the number?
  40. 40.Solve: 8x + 21 = 117. What is x?

Answer key

  1. 9
  2. 13
  3. 15
  4. 14
  5. 9
  6. 36
  7. 3
  8. 3
  9. 2
  10. 5
  11. 98
  12. 12
  13. 1
  14. 3
  15. 9
  16. 11
  17. 13
  18. 11
  19. 7
  20. 6
  21. 6
  22. 6
  23. 12
  24. 3
  25. 4
  26. 8
  27. 1
  28. 6
  29. 11
  30. 4
  31. 10
  32. 9
  33. 2
  34. 9
  35. 10
  36. 6
  37. 1
  38. 15
  39. 3
  40. 12

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