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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 628 · 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.Sneha’s mother is four times as old as Sneha. Their ages add up to 55 years. How old is Sneha?
  2. 2.Solve: p/8 + 20 = 22. What is p?
  3. 3.Solve: 3x + 9 = 15. What is x?
  4. 4.Solve: 2p − 10 = 2. What is p?
  5. 5.Solve: x/6 + 5 = 14. What is x?
  6. 6.Solve: 5m + 17 = 77. What is m?
  7. 7.Solve: 2(t + 8) = 34. What is t?
  8. 8.Tara thinks of a number, multiplies it by 7 and then adds 29. The result is 99. What is the number?
  9. 9.Isha’s mother is twice as old as Isha. Their ages add up to 33 years. How old is Isha?
  10. 10.Solve: n/8 + 12 = 20. What is n?
  11. 11.Solve: 9(y + 6) = 126. What is y?
  12. 12.Solve: n/5 + 9 = 19. What is n?
  13. 13.Solve: 4x − 11 = 41. What is x?
  14. 14.Pooja thinks of a number, multiplies it by 5 and then adds 3. The result is 33. What is the number?
  15. 15.Solve: 8t + 5 = 93. What is t?
  16. 16.Karan is 7 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  17. 17.Vivaan’s mother is three times as old as Vivaan. Their ages add up to 32 years. How old is Vivaan?
  18. 18.Meera thinks of a number, multiplies it by 4 and then adds 10. The result is 70. What is the number?
  19. 19.Riya thinks of a number, multiplies it by 7 and then adds 4. The result is 81. What is the number?
  20. 20.Solve: 4p − 1 = 11. What is p?
  21. 21.Manav’s mother is four times as old as Manav. Their ages add up to 60 years. How old is Manav?
  22. 22.Solve: 4(y + 3) = 32. What is y?
  23. 23.Solve: x/7 + 18 = 19. What is x?
  24. 24.Solve: 9y + 14 = 23. What is y?
  25. 25.Ishaan’s mother is four times as old as Ishaan. Their ages add up to 60 years. How old is Ishaan?
  26. 26.Solve: 2x + 11 = 33. What is x?
  27. 27.Tara is 2 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  28. 28.Aditya thinks of a number, multiplies it by 2 and then adds 26. The result is 50. What is the number?
  29. 29.Solve: x/4 + 3 = 18. What is x?
  30. 30.Rohan’s mother is three times as old as Rohan. Their ages add up to 16 years. How old is Rohan?
  31. 31.Solve: 2m + 6 = 14. What is m?
  32. 32.Solve: 3(t + 8) = 45. What is t?
  33. 33.Solve: 8m + 16 = 48. What is m?
  34. 34.Solve: t/7 + 19 = 31. What is t?
  35. 35.Pooja’s mother is twice as old as Pooja. Their ages add up to 15 years. How old is Pooja?
  36. 36.Arjun is 8 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  37. 37.Solve: t/8 + 3 = 13. What is t?
  38. 38.Solve: 8x + 28 = 124. What is x?
  39. 39.Solve: 6y + 14 = 80. What is y?
  40. 40.Solve: m/5 + 14 = 27. What is m?

Answer key

  1. 11
  2. 16
  3. 2
  4. 6
  5. 54
  6. 12
  7. 9
  8. 10
  9. 11
  10. 64
  11. 8
  12. 50
  13. 13
  14. 6
  15. 11
  16. 9
  17. 8
  18. 15
  19. 11
  20. 3
  21. 12
  22. 5
  23. 7
  24. 1
  25. 12
  26. 11
  27. 6
  28. 12
  29. 60
  30. 4
  31. 4
  32. 7
  33. 4
  34. 84
  35. 5
  36. 7
  37. 80
  38. 12
  39. 11
  40. 65

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