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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 325 · 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: m/8 + 17 = 30. What is m?
  2. 2.Solve: 6m − 36 = 6. What is m?
  3. 3.Solve: 2y − 16 = 8. What is y?
  4. 4.Meera thinks of a number, multiplies it by 5 and then adds 24. The result is 39. What is the number?
  5. 5.Isha thinks of a number, multiplies it by 3 and then adds 26. The result is 38. What is the number?
  6. 6.Solve: t/2 + 5 = 7. What is t?
  7. 7.Solve: 3(t + 3) = 45. What is t?
  8. 8.Aditya thinks of a number, multiplies it by 6 and then adds 15. The result is 69. What is the number?
  9. 9.Sneha thinks of a number, multiplies it by 7 and then adds 28. The result is 84. What is the number?
  10. 10.Aarav’s mother is twice as old as Aarav. Their ages add up to 33 years. How old is Aarav?
  11. 11.Solve: t/6 + 8 = 16. What is t?
  12. 12.Solve: 2(x + 7) = 38. What is x?
  13. 13.Lakshmi is 6 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  14. 14.Solve: 8n − 69 = 11. What is n?
  15. 15.Solve: 4(y + 6) = 76. What is y?
  16. 16.Solve: 8x + 5 = 77. What is x?
  17. 17.Solve: 2y − 19 = 1. What is y?
  18. 18.Solve: m/2 + 13 = 26. What is m?
  19. 19.Riya’s mother is twice as old as Riya. Their ages add up to 21 years. How old is Riya?
  20. 20.Solve: 4m + 22 = 70. What is m?
  21. 21.Meera is 4 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  22. 22.Solve: 8n + 25 = 41. What is n?
  23. 23.Rohan thinks of a number, multiplies it by 5 and then adds 21. The result is 81. What is the number?
  24. 24.Rohan is 5 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  25. 25.Solve: 6n − 18 = 66. What is n?
  26. 26.Solve: 9y + 3 = 21. What is y?
  27. 27.Solve: 8(m + 5) = 72. What is m?
  28. 28.Solve: 8t − 6 = 2. What is t?
  29. 29.Solve: 8m + 12 = 36. What is m?
  30. 30.Solve: 4x − 18 = 22. What is x?
  31. 31.Isha thinks of a number, multiplies it by 4 and then adds 30. The result is 82. What is the number?
  32. 32.Dev thinks of a number, multiplies it by 8 and then adds 2. The result is 50. What is the number?
  33. 33.Solve: m/9 + 17 = 28. What is m?
  34. 34.Solve: 2p + 16 = 42. What is p?
  35. 35.Solve: 5m − 9 = 1. What is m?
  36. 36.Solve: 8t + 4 = 68. What is t?
  37. 37.Solve: 3(t + 8) = 66. What is t?
  38. 38.Joseph is 8 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  39. 39.Rahul is 7 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  40. 40.Solve: 4x + 7 = 15. What is x?

Answer key

  1. 104
  2. 7
  3. 12
  4. 3
  5. 4
  6. 4
  7. 12
  8. 9
  9. 8
  10. 11
  11. 48
  12. 12
  13. 4
  14. 10
  15. 13
  16. 9
  17. 10
  18. 26
  19. 7
  20. 12
  21. 12
  22. 2
  23. 12
  24. 5
  25. 14
  26. 2
  27. 4
  28. 1
  29. 3
  30. 10
  31. 13
  32. 6
  33. 99
  34. 13
  35. 2
  36. 8
  37. 14
  38. 13
  39. 5
  40. 2

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