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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 3 · 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: 4p − 4 = 20. What is p?
  2. 2.Solve: 5t + 9 = 54. What is t?
  3. 3.Solve: 4m + 13 = 73. What is m?
  4. 4.Aarav is 7 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  5. 5.Sneha thinks of a number, multiplies it by 9 and then adds 23. The result is 140. What is the number?
  6. 6.Vivaan’s mother is twice as old as Vivaan. Their ages add up to 12 years. How old is Vivaan?
  7. 7.Saanvi thinks of a number, multiplies it by 5 and then adds 3. The result is 53. What is the number?
  8. 8.Solve: p/2 + 3 = 11. What is p?
  9. 9.Solve: 4(y + 2) = 52. What is y?
  10. 10.Gurpreet is 2 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  11. 11.Solve: p/2 + 6 = 15. What is p?
  12. 12.Solve: p/7 + 20 = 24. What is p?
  13. 13.Lakshmi thinks of a number, multiplies it by 7 and then adds 7. The result is 70. What is the number?
  14. 14.Karan’s mother is three times as old as Karan. Their ages add up to 60 years. How old is Karan?
  15. 15.Sneha thinks of a number, multiplies it by 4 and then adds 3. The result is 55. What is the number?
  16. 16.Aditya thinks of a number, multiplies it by 3 and then adds 22. The result is 64. What is the number?
  17. 17.Arjun is 4 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  18. 18.Solve: t/6 + 17 = 29. What is t?
  19. 19.Diya thinks of a number, multiplies it by 9 and then adds 10. The result is 64. What is the number?
  20. 20.Solve: 6(y + 9) = 96. What is y?
  21. 21.Nisha thinks of a number, multiplies it by 9 and then adds 14. The result is 86. What is the number?
  22. 22.Solve: m/9 + 3 = 5. What is m?
  23. 23.Solve: 6(t + 3) = 24. What is t?
  24. 24.Solve: 4y − 6 = 30. What is y?
  25. 25.Solve: 9t + 18 = 99. What is t?
  26. 26.Solve: 5(t + 7) = 40. What is t?
  27. 27.Aditya thinks of a number, multiplies it by 7 and then adds 9. The result is 16. What is the number?
  28. 28.Solve: y/2 + 16 = 31. What is y?
  29. 29.Solve: 3p − 5 = 10. What is p?
  30. 30.Solve: 4(y + 5) = 40. What is y?
  31. 31.Manav thinks of a number, multiplies it by 2 and then adds 18. The result is 20. What is the number?
  32. 32.Solve: 3(n + 2) = 36. What is n?
  33. 33.Solve: p/2 + 17 = 18. What is p?
  34. 34.Solve: x/6 + 19 = 33. What is x?
  35. 35.Solve: x/7 + 1 = 11. What is x?
  36. 36.Solve: n/6 + 15 = 20. What is n?
  37. 37.Solve: y/4 + 14 = 15. What is y?
  38. 38.Solve: 2t + 26 = 40. What is t?
  39. 39.Solve: m/2 + 10 = 14. What is m?
  40. 40.Isha is 2 years older than a cousin. Their ages add up to 14 years. How old is the cousin?

Answer key

  1. 6
  2. 9
  3. 15
  4. 12
  5. 13
  6. 4
  7. 10
  8. 16
  9. 11
  10. 8
  11. 18
  12. 28
  13. 9
  14. 15
  15. 13
  16. 14
  17. 10
  18. 72
  19. 6
  20. 7
  21. 8
  22. 18
  23. 1
  24. 9
  25. 9
  26. 1
  27. 1
  28. 30
  29. 5
  30. 5
  31. 1
  32. 10
  33. 2
  34. 84
  35. 70
  36. 30
  37. 4
  38. 7
  39. 8
  40. 6

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