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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 413 · 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.Sneha is 6 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  2. 2.Solve: 8(t + 4) = 56. What is t?
  3. 3.Solve: 3p + 23 = 53. What is p?
  4. 4.Solve: 3(x + 1) = 12. What is x?
  5. 5.Sneha is 1 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  6. 6.Solve: 9m + 28 = 109. What is m?
  7. 7.Solve: 8n + 7 = 79. What is n?
  8. 8.Solve: 6x − 24 = 60. What is x?
  9. 9.Solve: 4(m + 1) = 8. What is m?
  10. 10.Priya’s mother is twice as old as Priya. Their ages add up to 15 years. How old is Priya?
  11. 11.Aditya is 5 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  12. 12.Manav’s mother is twice as old as Manav. Their ages add up to 18 years. How old is Manav?
  13. 13.Solve: 2t + 20 = 36. What is t?
  14. 14.Solve: 5(x + 5) = 60. What is x?
  15. 15.Solve: 3p + 4 = 28. What is p?
  16. 16.Solve: 2m − 1 = 23. What is m?
  17. 17.Solve: y/8 + 16 = 21. What is y?
  18. 18.Solve: 4(x + 4) = 52. What is x?
  19. 19.Solve: 3(p + 8) = 54. What is p?
  20. 20.Dev thinks of a number, multiplies it by 5 and then adds 25. The result is 40. What is the number?
  21. 21.Solve: m/4 + 6 = 18. What is m?
  22. 22.Kabir is 7 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  23. 23.Aarav’s mother is four times as old as Aarav. Their ages add up to 30 years. How old is Aarav?
  24. 24.Solve: 4(x + 5) = 52. What is x?
  25. 25.Solve: n/8 + 20 = 26. What is n?
  26. 26.Solve: 8m + 20 = 28. What is m?
  27. 27.Dev thinks of a number, multiplies it by 7 and then adds 6. The result is 62. What is the number?
  28. 28.Tara’s mother is four times as old as Tara. Their ages add up to 40 years. How old is Tara?
  29. 29.Farhan’s mother is twice as old as Farhan. Their ages add up to 18 years. How old is Farhan?
  30. 30.Solve: 9(m + 2) = 90. What is m?
  31. 31.Solve: 8x + 15 = 87. What is x?
  32. 32.Isha thinks of a number, multiplies it by 5 and then adds 29. The result is 44. What is the number?
  33. 33.Isha is 5 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  34. 34.Solve: 9(n + 9) = 198. What is n?
  35. 35.Solve: 4(t + 3) = 40. What is t?
  36. 36.Solve: 5(x + 5) = 95. What is x?
  37. 37.Solve: 4(t + 1) = 64. What is t?
  38. 38.Solve: 5p + 16 = 81. What is p?
  39. 39.Solve: 6(n + 1) = 18. What is n?
  40. 40.Aarav thinks of a number, multiplies it by 7 and then adds 21. The result is 70. What is the number?

Answer key

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

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