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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 892 · 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: 2y − 16 = 4. What is y?
  2. 2.Solve: 3m − 1 = 2. What is m?
  3. 3.Solve: 3n + 6 = 9. What is n?
  4. 4.Solve: 5y + 15 = 80. What is y?
  5. 5.Aditya thinks of a number, multiplies it by 7 and then adds 22. The result is 36. What is the number?
  6. 6.Lakshmi thinks of a number, multiplies it by 5 and then adds 6. The result is 26. What is the number?
  7. 7.Kabir is 8 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  8. 8.Solve: 8x + 1 = 105. What is x?
  9. 9.Solve: 3m + 12 = 30. What is m?
  10. 10.Arjun is 8 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  11. 11.Solve: 2(n + 2) = 10. What is n?
  12. 12.Vivaan’s mother is three times as old as Vivaan. Their ages add up to 56 years. How old is Vivaan?
  13. 13.Kavya thinks of a number, multiplies it by 5 and then adds 20. The result is 40. What is the number?
  14. 14.Solve: 9m − 28 = 35. What is m?
  15. 15.Isha’s mother is four times as old as Isha. Their ages add up to 45 years. How old is Isha?
  16. 16.Solve: 6(t + 4) = 54. What is t?
  17. 17.Diya thinks of a number, multiplies it by 4 and then adds 7. The result is 27. What is the number?
  18. 18.Solve: m/6 + 17 = 21. What is m?
  19. 19.Nisha thinks of a number, multiplies it by 7 and then adds 9. The result is 58. What is the number?
  20. 20.Kavya’s mother is twice as old as Kavya. Their ages add up to 18 years. How old is Kavya?
  21. 21.Solve: n/8 + 4 = 5. What is n?
  22. 22.Solve: 5n + 26 = 86. What is n?
  23. 23.Solve: 3x + 7 = 22. What is x?
  24. 24.Gurpreet thinks of a number, multiplies it by 7 and then adds 11. The result is 60. What is the number?
  25. 25.Saanvi is 8 years older than a cousin. Their ages add up to 36 years. How old is the cousin?
  26. 26.Solve: p/4 + 6 = 20. What is p?
  27. 27.Solve: 2y − 3 = 1. What is y?
  28. 28.Solve: 5y − 36 = 4. What is y?
  29. 29.Solve: 4p + 24 = 48. What is p?
  30. 30.Priya thinks of a number, multiplies it by 2 and then adds 16. The result is 24. What is the number?
  31. 31.Meera thinks of a number, multiplies it by 8 and then adds 22. The result is 54. What is the number?
  32. 32.Solve: 8x + 3 = 35. What is x?
  33. 33.Solve: y/4 + 10 = 15. What is y?
  34. 34.Rohan is 2 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  35. 35.Zoya is 2 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  36. 36.Arjun thinks of a number, multiplies it by 3 and then adds 28. The result is 40. What is the number?
  37. 37.Solve: y/2 + 15 = 28. What is y?
  38. 38.Solve: 5(t + 6) = 40. What is t?
  39. 39.Gurpreet is 1 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  40. 40.Solve: t/9 + 7 = 22. What is t?

Answer key

  1. 10
  2. 1
  3. 1
  4. 13
  5. 2
  6. 4
  7. 6
  8. 13
  9. 6
  10. 7
  11. 3
  12. 14
  13. 4
  14. 7
  15. 9
  16. 5
  17. 5
  18. 24
  19. 7
  20. 6
  21. 8
  22. 12
  23. 5
  24. 7
  25. 14
  26. 56
  27. 2
  28. 8
  29. 6
  30. 4
  31. 4
  32. 4
  33. 20
  34. 12
  35. 12
  36. 4
  37. 26
  38. 2
  39. 14
  40. 135

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