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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 256 · 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.Priya is 1 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  2. 2.Ananya thinks of a number, multiplies it by 7 and then adds 19. The result is 54. What is the number?
  3. 3.Solve: 2x + 15 = 27. What is x?
  4. 4.Solve: 4x − 21 = 3. What is x?
  5. 5.Solve: 3x + 18 = 39. What is x?
  6. 6.Solve: 9x + 27 = 36. What is x?
  7. 7.Aditya is 1 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  8. 8.Solve: n/9 + 5 = 8. What is n?
  9. 9.Solve: 7(y + 3) = 35. What is y?
  10. 10.Solve: 6m − 4 = 44. What is m?
  11. 11.Solve: 4x + 19 = 35. What is x?
  12. 12.Meera is 1 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  13. 13.Solve: 2t + 20 = 44. What is t?
  14. 14.Solve: 5(p + 5) = 70. What is p?
  15. 15.Rohan’s mother is twice as old as Rohan. Their ages add up to 30 years. How old is Rohan?
  16. 16.Solve: x/7 + 9 = 13. What is x?
  17. 17.Rahul thinks of a number, multiplies it by 8 and then adds 26. The result is 42. What is the number?
  18. 18.Riya thinks of a number, multiplies it by 8 and then adds 16. The result is 136. What is the number?
  19. 19.Solve: y/2 + 18 = 20. What is y?
  20. 20.Solve: y/6 + 4 = 15. What is y?
  21. 21.Solve: 8(p + 7) = 96. What is p?
  22. 22.Solve: t/2 + 1 = 13. What is t?
  23. 23.Aarav thinks of a number, multiplies it by 9 and then adds 22. The result is 103. What is the number?
  24. 24.Solve: 6m + 24 = 108. What is m?
  25. 25.Karan thinks of a number, multiplies it by 3 and then adds 26. The result is 47. What is the number?
  26. 26.Ishaan is 7 years older than a cousin. Their ages add up to 35 years. How old is the cousin?
  27. 27.Solve: n/8 + 15 = 18. What is n?
  28. 28.Kavya’s mother is twice as old as Kavya. Their ages add up to 18 years. How old is Kavya?
  29. 29.Diya thinks of a number, multiplies it by 2 and then adds 4. The result is 30. What is the number?
  30. 30.Sneha thinks of a number, multiplies it by 3 and then adds 25. The result is 58. What is the number?
  31. 31.Solve: 6m − 29 = 1. What is m?
  32. 32.Solve: y/7 + 11 = 16. What is y?
  33. 33.Sneha is 8 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  34. 34.Solve: x/8 + 14 = 23. What is x?
  35. 35.Solve: 6t + 16 = 40. What is t?
  36. 36.Saanvi thinks of a number, multiplies it by 2 and then adds 10. The result is 20. What is the number?
  37. 37.Solve: 6p − 24 = 42. What is p?
  38. 38.Solve: 2(m + 2) = 22. What is m?
  39. 39.Solve: 7t + 28 = 91. What is t?
  40. 40.Lakshmi thinks of a number, multiplies it by 7 and then adds 23. The result is 114. What is the number?

Answer key

  1. 6
  2. 5
  3. 6
  4. 6
  5. 7
  6. 1
  7. 7
  8. 27
  9. 2
  10. 8
  11. 4
  12. 13
  13. 12
  14. 9
  15. 10
  16. 28
  17. 2
  18. 15
  19. 4
  20. 66
  21. 5
  22. 24
  23. 9
  24. 14
  25. 7
  26. 14
  27. 24
  28. 6
  29. 13
  30. 11
  31. 5
  32. 35
  33. 6
  34. 72
  35. 4
  36. 5
  37. 11
  38. 9
  39. 9
  40. 13

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