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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 107 · 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.Zoya is 7 years older than a cousin. Their ages add up to 35 years. How old is the cousin?
  2. 2.Solve: p/2 + 18 = 24. What is p?
  3. 3.Solve: 4m − 11 = 13. What is m?
  4. 4.Solve: 3m + 8 = 50. What is m?
  5. 5.Solve: t/5 + 11 = 24. What is t?
  6. 6.Solve: n/7 + 1 = 12. What is n?
  7. 7.Solve: y/9 + 6 = 19. What is y?
  8. 8.Kavya is 1 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  9. 9.Solve: 3y + 27 = 69. What is y?
  10. 10.Solve: t/8 + 15 = 21. What is t?
  11. 11.Solve: y/5 + 6 = 11. What is y?
  12. 12.Riya’s mother is three times as old as Riya. Their ages add up to 36 years. How old is Riya?
  13. 13.Solve: 5m − 4 = 36. What is m?
  14. 14.Rohan thinks of a number, multiplies it by 9 and then adds 13. The result is 103. What is the number?
  15. 15.Rahul’s mother is four times as old as Rahul. Their ages add up to 40 years. How old is Rahul?
  16. 16.Aditya thinks of a number, multiplies it by 8 and then adds 8. The result is 104. What is the number?
  17. 17.Solve: 8t + 26 = 42. What is t?
  18. 18.Solve: 5y + 27 = 97. What is y?
  19. 19.Kabir thinks of a number, multiplies it by 6 and then adds 7. The result is 37. What is the number?
  20. 20.Pooja’s mother is three times as old as Pooja. Their ages add up to 36 years. How old is Pooja?
  21. 21.Kavya thinks of a number, multiplies it by 7 and then adds 24. The result is 38. What is the number?
  22. 22.Solve: 6p + 1 = 55. What is p?
  23. 23.Solve: 5m − 42 = 8. What is m?
  24. 24.Solve: 2n − 14 = 4. What is n?
  25. 25.Solve: 7y − 27 = 8. What is y?
  26. 26.Arjun’s mother is twice as old as Arjun. Their ages add up to 33 years. How old is Arjun?
  27. 27.Solve: 4(x + 6) = 28. What is x?
  28. 28.Solve: 6x − 29 = 31. What is x?
  29. 29.Solve: 6(p + 9) = 120. What is p?
  30. 30.Kavya thinks of a number, multiplies it by 8 and then adds 3. The result is 99. What is the number?
  31. 31.Tara thinks of a number, multiplies it by 5 and then adds 17. The result is 37. What is the number?
  32. 32.Solve: x/7 + 4 = 6. What is x?
  33. 33.Solve: 8y − 25 = 87. What is y?
  34. 34.Arjun thinks of a number, multiplies it by 8 and then adds 20. The result is 100. What is the number?
  35. 35.Karan is 6 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  36. 36.Solve: x/3 + 14 = 27. What is x?
  37. 37.Solve: 7p − 16 = 40. What is p?
  38. 38.Priya thinks of a number, multiplies it by 5 and then adds 1. The result is 16. What is the number?
  39. 39.Aditya thinks of a number, multiplies it by 3 and then adds 30. The result is 48. What is the number?
  40. 40.Solve: 8x − 16 = 16. What is x?

Answer key

  1. 14
  2. 12
  3. 6
  4. 14
  5. 65
  6. 77
  7. 117
  8. 7
  9. 14
  10. 48
  11. 25
  12. 9
  13. 8
  14. 10
  15. 8
  16. 12
  17. 2
  18. 14
  19. 5
  20. 9
  21. 2
  22. 9
  23. 10
  24. 9
  25. 5
  26. 11
  27. 1
  28. 10
  29. 11
  30. 12
  31. 4
  32. 14
  33. 14
  34. 10
  35. 4
  36. 39
  37. 8
  38. 3
  39. 6
  40. 4

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