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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 874 · 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.Dev’s mother is four times as old as Dev. Their ages add up to 20 years. How old is Dev?
  2. 2.Diya’s mother is three times as old as Diya. Their ages add up to 20 years. How old is Diya?
  3. 3.Solve: 3t − 20 = 4. What is t?
  4. 4.Solve: 2(x + 3) = 28. What is x?
  5. 5.Solve: m/4 + 7 = 11. What is m?
  6. 6.Solve: 7p − 17 = 25. What is p?
  7. 7.Solve: 5p + 7 = 37. What is p?
  8. 8.Solve: 8t − 7 = 1. What is t?
  9. 9.Solve: 8y − 76 = 44. What is y?
  10. 10.Solve: 2n + 10 = 34. What is n?
  11. 11.Solve: 6(n + 3) = 108. What is n?
  12. 12.Solve: 3t − 36 = 6. What is t?
  13. 13.Farhan thinks of a number, multiplies it by 2 and then adds 3. The result is 17. What is the number?
  14. 14.Solve: n/5 + 11 = 26. What is n?
  15. 15.Solve: y/7 + 6 = 11. What is y?
  16. 16.Solve: t/9 + 3 = 4. What is t?
  17. 17.Solve: t/9 + 11 = 17. What is t?
  18. 18.Solve: 2(m + 2) = 34. What is m?
  19. 19.Solve: n/4 + 2 = 5. What is n?
  20. 20.Solve: 7n + 23 = 114. What is n?
  21. 21.Solve: p/3 + 5 = 19. What is p?
  22. 22.Arjun thinks of a number, multiplies it by 2 and then adds 20. The result is 22. What is the number?
  23. 23.Solve: 9p − 69 = 3. What is p?
  24. 24.Solve: 4(x + 2) = 52. What is x?
  25. 25.Dev is 6 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  26. 26.Solve: 4p + 4 = 44. What is p?
  27. 27.Solve: 8t − 5 = 43. What is t?
  28. 28.Diya thinks of a number, multiplies it by 7 and then adds 10. The result is 66. What is the number?
  29. 29.Meera thinks of a number, multiplies it by 5 and then adds 6. The result is 11. What is the number?
  30. 30.Isha thinks of a number, multiplies it by 9 and then adds 21. The result is 120. What is the number?
  31. 31.Solve: p/3 + 13 = 22. What is p?
  32. 32.Nisha thinks of a number, multiplies it by 2 and then adds 21. The result is 39. What is the number?
  33. 33.Riya thinks of a number, multiplies it by 3 and then adds 24. The result is 48. What is the number?
  34. 34.Solve: 6(n + 6) = 114. What is n?
  35. 35.Sneha thinks of a number, multiplies it by 7 and then adds 5. The result is 61. What is the number?
  36. 36.Solve: 6y − 44 = 16. What is y?
  37. 37.Pooja thinks of a number, multiplies it by 7 and then adds 18. The result is 39. What is the number?
  38. 38.Solve: p/3 + 13 = 19. What is p?
  39. 39.Solve: 3x − 7 = 23. What is x?
  40. 40.Solve: 9y − 3 = 51. What is y?

Answer key

  1. 4
  2. 5
  3. 8
  4. 11
  5. 16
  6. 6
  7. 6
  8. 1
  9. 15
  10. 12
  11. 15
  12. 14
  13. 7
  14. 75
  15. 35
  16. 9
  17. 54
  18. 15
  19. 12
  20. 13
  21. 42
  22. 1
  23. 8
  24. 11
  25. 7
  26. 10
  27. 6
  28. 8
  29. 1
  30. 11
  31. 27
  32. 9
  33. 8
  34. 13
  35. 8
  36. 10
  37. 3
  38. 18
  39. 10
  40. 6

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