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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 284 · 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: y/5 + 3 = 16. What is y?
  2. 2.Ananya’s mother is twice as old as Ananya. Their ages add up to 24 years. How old is Ananya?
  3. 3.Vivaan is 3 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
  4. 4.Solve: 4n + 20 = 44. What is n?
  5. 5.Isha is 4 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  6. 6.Aditya’s mother is twice as old as Aditya. Their ages add up to 15 years. How old is Aditya?
  7. 7.Solve: m/2 + 6 = 21. What is m?
  8. 8.Solve: 4y − 17 = 19. What is y?
  9. 9.Solve: 8m + 24 = 144. What is m?
  10. 10.Solve: 2t − 4 = 2. What is t?
  11. 11.Solve: m/2 + 7 = 13. What is m?
  12. 12.Solve: 5x + 23 = 83. What is x?
  13. 13.Solve: 2x + 25 = 27. What is x?
  14. 14.Gurpreet’s mother is four times as old as Gurpreet. Their ages add up to 35 years. How old is Gurpreet?
  15. 15.Solve: 2y + 7 = 13. What is y?
  16. 16.Meera is 8 years older than a cousin. Their ages add up to 38 years. How old is the cousin?
  17. 17.Solve: 2(p + 3) = 22. What is p?
  18. 18.Sneha is 4 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  19. 19.Tara’s mother is twice as old as Tara. Their ages add up to 45 years. How old is Tara?
  20. 20.Solve: 2n + 6 = 24. What is n?
  21. 21.Solve: 9m − 4 = 104. What is m?
  22. 22.Solve: 9y + 17 = 125. What is y?
  23. 23.Solve: 2x + 11 = 31. What is x?
  24. 24.Solve: 2t − 5 = 7. What is t?
  25. 25.Solve: 7t − 10 = 32. What is t?
  26. 26.Solve: 3x + 23 = 38. What is x?
  27. 27.Solve: 7(p + 9) = 70. What is p?
  28. 28.Aditya thinks of a number, multiplies it by 4 and then adds 3. The result is 31. What is the number?
  29. 29.Solve: 4y + 22 = 78. What is y?
  30. 30.Diya thinks of a number, multiplies it by 2 and then adds 20. The result is 34. What is the number?
  31. 31.Solve: 8t + 5 = 93. What is t?
  32. 32.Vivaan’s mother is three times as old as Vivaan. Their ages add up to 48 years. How old is Vivaan?
  33. 33.Aarav thinks of a number, multiplies it by 3 and then adds 23. The result is 50. What is the number?
  34. 34.Solve: 3n + 19 = 52. What is n?
  35. 35.Rahul’s mother is three times as old as Rahul. Their ages add up to 52 years. How old is Rahul?
  36. 36.Solve: 5m + 8 = 18. What is m?
  37. 37.Solve: 3x − 15 = 30. What is x?
  38. 38.Solve: x/8 + 15 = 17. What is x?
  39. 39.Solve: 7y + 4 = 81. What is y?
  40. 40.Solve: 3(n + 3) = 18. What is n?

Answer key

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

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