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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 646 · 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: 8(y + 2) = 136. What is y?
  2. 2.Solve: p/6 + 20 = 32. What is p?
  3. 3.Solve: 3p − 5 = 13. What is p?
  4. 4.Gurpreet’s mother is four times as old as Gurpreet. Their ages add up to 45 years. How old is Gurpreet?
  5. 5.Priya thinks of a number, multiplies it by 6 and then adds 26. The result is 92. What is the number?
  6. 6.Solve: 3(m + 6) = 27. What is m?
  7. 7.Aditya’s mother is four times as old as Aditya. Their ages add up to 45 years. How old is Aditya?
  8. 8.Solve: 5(y + 5) = 50. What is y?
  9. 9.Farhan thinks of a number, multiplies it by 9 and then adds 26. The result is 53. What is the number?
  10. 10.Kabir thinks of a number, multiplies it by 3 and then adds 19. The result is 64. What is the number?
  11. 11.Solve: 3(m + 4) = 18. What is m?
  12. 12.Manav is 5 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  13. 13.Solve: 6y + 2 = 86. What is y?
  14. 14.Solve: 6t + 17 = 53. What is t?
  15. 15.Solve: n/5 + 1 = 12. What is n?
  16. 16.Karan is 5 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  17. 17.Gurpreet thinks of a number, multiplies it by 5 and then adds 6. The result is 66. What is the number?
  18. 18.Solve: t/7 + 5 = 14. What is t?
  19. 19.Arjun thinks of a number, multiplies it by 8 and then adds 17. The result is 33. What is the number?
  20. 20.Solve: 8x + 27 = 115. What is x?
  21. 21.Solve: 5p − 22 = 13. What is p?
  22. 22.Solve: 2(y + 3) = 14. What is y?
  23. 23.Solve: 5n − 3 = 2. What is n?
  24. 24.Solve: 3m + 22 = 67. What is m?
  25. 25.Solve: 8p − 34 = 86. What is p?
  26. 26.Solve: n/6 + 4 = 8. What is n?
  27. 27.Manav thinks of a number, multiplies it by 5 and then adds 27. The result is 87. What is the number?
  28. 28.Solve: x/6 + 20 = 23. What is x?
  29. 29.Solve: y/2 + 2 = 4. What is y?
  30. 30.Solve: 6(n + 2) = 54. What is n?
  31. 31.Meera thinks of a number, multiplies it by 7 and then adds 4. The result is 60. What is the number?
  32. 32.Solve: 2(t + 4) = 38. What is t?
  33. 33.Solve: 7(m + 2) = 84. What is m?
  34. 34.Solve: 5(p + 9) = 100. What is p?
  35. 35.Solve: 8(x + 7) = 96. What is x?
  36. 36.Isha’s mother is three times as old as Isha. Their ages add up to 40 years. How old is Isha?
  37. 37.Solve: 5(p + 3) = 90. What is p?
  38. 38.Solve: 6y + 4 = 46. What is y?
  39. 39.Solve: 2y + 26 = 32. What is y?
  40. 40.Isha’s mother is four times as old as Isha. Their ages add up to 25 years. How old is Isha?

Answer key

  1. 15
  2. 72
  3. 6
  4. 9
  5. 11
  6. 3
  7. 9
  8. 5
  9. 3
  10. 15
  11. 2
  12. 7
  13. 14
  14. 6
  15. 55
  16. 12
  17. 12
  18. 63
  19. 2
  20. 11
  21. 7
  22. 4
  23. 1
  24. 15
  25. 15
  26. 24
  27. 12
  28. 18
  29. 4
  30. 7
  31. 8
  32. 15
  33. 10
  34. 11
  35. 5
  36. 10
  37. 15
  38. 7
  39. 3
  40. 5

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