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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 72 · 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: 5x + 1 = 21. What is x?
  2. 2.Kabir thinks of a number, multiplies it by 6 and then adds 7. The result is 61. What is the number?
  3. 3.Solve: 8m − 21 = 91. What is m?
  4. 4.Solve: 2y − 1 = 3. What is y?
  5. 5.Solve: 4(p + 4) = 48. What is p?
  6. 6.Manav’s mother is four times as old as Manav. Their ages add up to 45 years. How old is Manav?
  7. 7.Diya’s mother is three times as old as Diya. Their ages add up to 44 years. How old is Diya?
  8. 8.Solve: 4y − 19 = 33. What is y?
  9. 9.Solve: 4y + 4 = 28. What is y?
  10. 10.Aarav thinks of a number, multiplies it by 4 and then adds 21. The result is 81. What is the number?
  11. 11.Arjun’s mother is four times as old as Arjun. Their ages add up to 55 years. How old is Arjun?
  12. 12.Diya thinks of a number, multiplies it by 8 and then adds 7. The result is 95. What is the number?
  13. 13.Solve: 7x − 2 = 5. What is x?
  14. 14.Solve: 8m − 16 = 56. What is m?
  15. 15.Solve: x/2 + 11 = 25. What is x?
  16. 16.Solve: 7x − 41 = 15. What is x?
  17. 17.Solve: 9x + 11 = 101. What is x?
  18. 18.Gurpreet is 1 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  19. 19.Solve: 3m − 11 = 28. What is m?
  20. 20.Rahul thinks of a number, multiplies it by 5 and then adds 12. The result is 47. What is the number?
  21. 21.Solve: 2p − 1 = 1. What is p?
  22. 22.Solve: 9y − 1 = 8. What is y?
  23. 23.Solve: 7(p + 7) = 133. What is p?
  24. 24.Manav thinks of a number, multiplies it by 8 and then adds 11. The result is 131. What is the number?
  25. 25.Solve: 6p − 2 = 4. What is p?
  26. 26.Solve: 5y + 1 = 66. What is y?
  27. 27.Aditya thinks of a number, multiplies it by 6 and then adds 28. The result is 70. What is the number?
  28. 28.Solve: m/8 + 2 = 11. What is m?
  29. 29.Priya’s mother is four times as old as Priya. Their ages add up to 60 years. How old is Priya?
  30. 30.Solve: 6y − 25 = 5. What is y?
  31. 31.Solve: p/7 + 3 = 4. What is p?
  32. 32.Nisha thinks of a number, multiplies it by 3 and then adds 13. The result is 49. What is the number?
  33. 33.Pooja thinks of a number, multiplies it by 6 and then adds 8. The result is 86. What is the number?
  34. 34.Solve: y/7 + 3 = 17. What is y?
  35. 35.Gurpreet is 8 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  36. 36.Solve: p/7 + 3 = 14. What is p?
  37. 37.Lakshmi’s mother is twice as old as Lakshmi. Their ages add up to 33 years. How old is Lakshmi?
  38. 38.Solve: p/8 + 9 = 20. What is p?
  39. 39.Solve: 6y + 9 = 99. What is y?
  40. 40.Gurpreet thinks of a number, multiplies it by 8 and then adds 7. The result is 127. What is the number?

Answer key

  1. 4
  2. 9
  3. 14
  4. 2
  5. 8
  6. 9
  7. 11
  8. 13
  9. 6
  10. 15
  11. 11
  12. 11
  13. 1
  14. 9
  15. 28
  16. 8
  17. 10
  18. 15
  19. 13
  20. 7
  21. 1
  22. 1
  23. 12
  24. 15
  25. 1
  26. 13
  27. 7
  28. 72
  29. 12
  30. 5
  31. 7
  32. 12
  33. 13
  34. 98
  35. 12
  36. 77
  37. 11
  38. 88
  39. 15
  40. 15

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