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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 162 · 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: 5m − 11 = 4. What is m?
  2. 2.Solve: 3(p + 9) = 57. What is p?
  3. 3.Solve: 2x − 4 = 6. What is x?
  4. 4.Gurpreet thinks of a number, multiplies it by 8 and then adds 22. The result is 70. What is the number?
  5. 5.Kabir’s mother is four times as old as Kabir. Their ages add up to 50 years. How old is Kabir?
  6. 6.Priya is 8 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  7. 7.Solve: 8x + 1 = 25. What is x?
  8. 8.Solve: y/4 + 12 = 15. What is y?
  9. 9.Solve: 3m − 12 = 12. What is m?
  10. 10.Karan’s mother is three times as old as Karan. Their ages add up to 56 years. How old is Karan?
  11. 11.Lakshmi thinks of a number, multiplies it by 6 and then adds 25. The result is 37. What is the number?
  12. 12.Solve: 5p + 10 = 15. What is p?
  13. 13.Lakshmi’s mother is twice as old as Lakshmi. Their ages add up to 18 years. How old is Lakshmi?
  14. 14.Saanvi is 3 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  15. 15.Nisha’s mother is four times as old as Nisha. Their ages add up to 45 years. How old is Nisha?
  16. 16.Solve: 9t − 69 = 57. What is t?
  17. 17.Priya is 8 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  18. 18.Solve: 3p + 3 = 24. What is p?
  19. 19.Diya is 5 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  20. 20.Solve: 7(n + 2) = 35. What is n?
  21. 21.Pooja is 5 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  22. 22.Saanvi’s mother is four times as old as Saanvi. Their ages add up to 65 years. How old is Saanvi?
  23. 23.Rohan thinks of a number, multiplies it by 4 and then adds 8. The result is 28. What is the number?
  24. 24.Solve: 2y − 14 = 2. What is y?
  25. 25.Solve: 5x − 32 = 8. What is x?
  26. 26.Solve: 5(m + 8) = 45. What is m?
  27. 27.Solve: x/9 + 6 = 17. What is x?
  28. 28.Solve: 2x − 5 = 3. What is x?
  29. 29.Solve: 8p − 18 = 22. What is p?
  30. 30.Solve: 9(p + 9) = 180. What is p?
  31. 31.Solve: 9(y + 5) = 171. What is y?
  32. 32.Arjun thinks of a number, multiplies it by 7 and then adds 15. The result is 78. What is the number?
  33. 33.Solve: 8y − 19 = 13. What is y?
  34. 34.Solve: x/5 + 12 = 25. What is x?
  35. 35.Isha is 1 years older than a cousin. Their ages add up to 9 years. How old is the cousin?
  36. 36.Solve: 3t + 30 = 48. What is t?
  37. 37.Solve: 4t + 17 = 49. What is t?
  38. 38.Solve: 8y − 4 = 4. What is y?
  39. 39.Solve: 7p − 57 = 48. What is p?
  40. 40.Solve: 6p + 27 = 81. What is p?

Answer key

  1. 3
  2. 10
  3. 5
  4. 6
  5. 10
  6. 7
  7. 3
  8. 12
  9. 8
  10. 14
  11. 2
  12. 1
  13. 6
  14. 13
  15. 9
  16. 14
  17. 4
  18. 7
  19. 9
  20. 3
  21. 5
  22. 13
  23. 5
  24. 8
  25. 8
  26. 1
  27. 99
  28. 4
  29. 5
  30. 11
  31. 14
  32. 9
  33. 4
  34. 65
  35. 4
  36. 6
  37. 8
  38. 1
  39. 15
  40. 9

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