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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 802 · 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: 4(y + 8) = 44. What is y?
  2. 2.Solve: 7x + 29 = 57. What is x?
  3. 3.Solve: 4y − 4 = 12. What is y?
  4. 4.Solve: 2x + 12 = 38. What is x?
  5. 5.Solve: 9(p + 3) = 144. What is p?
  6. 6.Solve: 2y − 5 = 19. What is y?
  7. 7.Solve: 8y − 12 = 36. What is y?
  8. 8.Solve: 2(x + 1) = 4. What is x?
  9. 9.Vivaan’s mother is three times as old as Vivaan. Their ages add up to 48 years. How old is Vivaan?
  10. 10.Tara’s mother is four times as old as Tara. Their ages add up to 20 years. How old is Tara?
  11. 11.Solve: t/2 + 15 = 22. What is t?
  12. 12.Solve: x/2 + 20 = 35. What is x?
  13. 13.Solve: 8y + 25 = 81. What is y?
  14. 14.Aarav thinks of a number, multiplies it by 5 and then adds 30. The result is 90. What is the number?
  15. 15.Solve: 5m − 7 = 3. What is m?
  16. 16.Nisha’s mother is four times as old as Nisha. Their ages add up to 20 years. How old is Nisha?
  17. 17.Ishaan thinks of a number, multiplies it by 5 and then adds 8. The result is 63. What is the number?
  18. 18.Diya thinks of a number, multiplies it by 5 and then adds 2. The result is 12. What is the number?
  19. 19.Solve: 4n + 16 = 32. What is n?
  20. 20.Solve: 7(t + 5) = 42. What is t?
  21. 21.Solve: 2p + 15 = 31. What is p?
  22. 22.Solve: y/3 + 1 = 9. What is y?
  23. 23.Dev is 2 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  24. 24.Saanvi thinks of a number, multiplies it by 2 and then adds 13. The result is 33. What is the number?
  25. 25.Solve: 5t + 19 = 89. What is t?
  26. 26.Solve: m/4 + 1 = 12. What is m?
  27. 27.Solve: 3x + 11 = 14. What is x?
  28. 28.Arjun’s mother is three times as old as Arjun. Their ages add up to 52 years. How old is Arjun?
  29. 29.Solve: 3(y + 3) = 15. What is y?
  30. 30.Pooja thinks of a number, multiplies it by 5 and then adds 24. The result is 79. What is the number?
  31. 31.Solve: 7(x + 6) = 126. What is x?
  32. 32.Sneha’s mother is twice as old as Sneha. Their ages add up to 21 years. How old is Sneha?
  33. 33.Solve: 4y + 12 = 44. What is y?
  34. 34.Joseph thinks of a number, multiplies it by 7 and then adds 19. The result is 26. What is the number?
  35. 35.Gurpreet thinks of a number, multiplies it by 3 and then adds 12. The result is 30. What is the number?
  36. 36.Gurpreet thinks of a number, multiplies it by 8 and then adds 5. The result is 101. What is the number?
  37. 37.Isha thinks of a number, multiplies it by 2 and then adds 25. The result is 47. What is the number?
  38. 38.Ananya thinks of a number, multiplies it by 8 and then adds 10. The result is 106. What is the number?
  39. 39.Solve: 9y − 10 = 71. What is y?
  40. 40.Solve: p/6 + 7 = 19. What is p?

Answer key

  1. 3
  2. 4
  3. 4
  4. 13
  5. 13
  6. 12
  7. 6
  8. 1
  9. 12
  10. 4
  11. 14
  12. 30
  13. 7
  14. 12
  15. 2
  16. 4
  17. 11
  18. 2
  19. 4
  20. 1
  21. 8
  22. 24
  23. 9
  24. 10
  25. 14
  26. 44
  27. 1
  28. 13
  29. 2
  30. 11
  31. 12
  32. 7
  33. 8
  34. 1
  35. 6
  36. 12
  37. 11
  38. 12
  39. 9
  40. 72

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