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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 524 · 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: 4x − 33 = 15. What is x?
  2. 2.Solve: 9(m + 4) = 135. What is m?
  3. 3.Solve: x/5 + 2 = 4. What is x?
  4. 4.Solve: 5x + 12 = 27. What is x?
  5. 5.Rohan’s mother is four times as old as Rohan. Their ages add up to 20 years. How old is Rohan?
  6. 6.Solve: 3n + 15 = 18. What is n?
  7. 7.Solve: 8y − 7 = 25. What is y?
  8. 8.Rohan thinks of a number, multiplies it by 9 and then adds 7. The result is 52. What is the number?
  9. 9.Dev thinks of a number, multiplies it by 5 and then adds 4. The result is 39. What is the number?
  10. 10.Solve: 3(y + 3) = 18. What is y?
  11. 11.Solve: 9p + 19 = 118. What is p?
  12. 12.Sneha thinks of a number, multiplies it by 7 and then adds 3. The result is 73. What is the number?
  13. 13.Solve: 2(x + 1) = 32. What is x?
  14. 14.Solve: 7p + 24 = 38. What is p?
  15. 15.Solve: y/5 + 14 = 21. What is y?
  16. 16.Solve: 5(m + 6) = 35. What is m?
  17. 17.Solve: m/9 + 13 = 21. What is m?
  18. 18.Solve: 9x + 12 = 147. What is x?
  19. 19.Solve: 9p + 18 = 54. What is p?
  20. 20.Isha thinks of a number, multiplies it by 4 and then adds 11. The result is 63. What is the number?
  21. 21.Solve: t/3 + 19 = 32. What is t?
  22. 22.Solve: 7(m + 6) = 63. What is m?
  23. 23.Solve: 2m + 4 = 14. What is m?
  24. 24.Solve: x/6 + 6 = 12. What is x?
  25. 25.Solve: 6(y + 4) = 36. What is y?
  26. 26.Solve: 6y + 19 = 67. What is y?
  27. 27.Arjun thinks of a number, multiplies it by 2 and then adds 4. The result is 26. What is the number?
  28. 28.Solve: 9t + 25 = 106. What is t?
  29. 29.Solve: 5(y + 9) = 75. What is y?
  30. 30.Solve: 9(p + 7) = 90. What is p?
  31. 31.Solve: 3y − 28 = 5. What is y?
  32. 32.Manav is 7 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  33. 33.Solve: 3n + 22 = 34. What is n?
  34. 34.Isha thinks of a number, multiplies it by 8 and then adds 26. The result is 146. What is the number?
  35. 35.Solve: 8(y + 6) = 72. What is y?
  36. 36.Ananya thinks of a number, multiplies it by 7 and then adds 6. The result is 20. What is the number?
  37. 37.Arjun is 1 years older than a cousin. Their ages add up to 9 years. How old is the cousin?
  38. 38.Diya is 7 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  39. 39.Solve: 2n + 6 = 22. What is n?
  40. 40.Aarav thinks of a number, multiplies it by 3 and then adds 26. The result is 62. What is the number?

Answer key

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

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