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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 243 · 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.Aarav is 4 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  2. 2.Solve: 9y + 7 = 133. What is y?
  3. 3.Solve: 4n − 1 = 3. What is n?
  4. 4.Solve: 3(m + 9) = 54. What is m?
  5. 5.Solve: t/4 + 15 = 30. What is t?
  6. 6.Solve: 4y + 12 = 56. What is y?
  7. 7.Solve: y/8 + 10 = 11. What is y?
  8. 8.Kavya is 5 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  9. 9.Solve: x/8 + 4 = 8. What is x?
  10. 10.Solve: m/5 + 10 = 14. What is m?
  11. 11.Solve: 6(m + 4) = 96. What is m?
  12. 12.Rahul thinks of a number, multiplies it by 6 and then adds 4. The result is 88. What is the number?
  13. 13.Nisha’s mother is three times as old as Nisha. Their ages add up to 40 years. How old is Nisha?
  14. 14.Arjun thinks of a number, multiplies it by 7 and then adds 15. The result is 50. What is the number?
  15. 15.Solve: 8(x + 1) = 80. What is x?
  16. 16.Solve: 2(x + 1) = 30. What is x?
  17. 17.Kabir thinks of a number, multiplies it by 2 and then adds 6. The result is 12. What is the number?
  18. 18.Solve: 4y + 18 = 70. What is y?
  19. 19.Sneha’s mother is four times as old as Sneha. Their ages add up to 65 years. How old is Sneha?
  20. 20.Solve: 3m − 15 = 3. What is m?
  21. 21.Pooja thinks of a number, multiplies it by 3 and then adds 14. The result is 35. What is the number?
  22. 22.Nisha thinks of a number, multiplies it by 6 and then adds 27. The result is 105. What is the number?
  23. 23.Solve: 2x + 3 = 9. What is x?
  24. 24.Solve: 9(p + 4) = 126. What is p?
  25. 25.Ananya’s mother is twice as old as Ananya. Their ages add up to 42 years. How old is Ananya?
  26. 26.Solve: y/2 + 3 = 10. What is y?
  27. 27.Solve: 7(m + 2) = 35. What is m?
  28. 28.Solve: 3n − 1 = 14. What is n?
  29. 29.Rohan’s mother is three times as old as Rohan. Their ages add up to 24 years. How old is Rohan?
  30. 30.Solve: 8n + 29 = 45. What is n?
  31. 31.Solve: 4(n + 9) = 60. What is n?
  32. 32.Solve: 4t − 35 = 9. What is t?
  33. 33.Solve: 9n − 3 = 15. What is n?
  34. 34.Solve: 4x + 22 = 70. What is x?
  35. 35.Solve: 7(m + 5) = 133. What is m?
  36. 36.Solve: 5t − 2 = 8. What is t?
  37. 37.Solve: 9(m + 1) = 63. What is m?
  38. 38.Solve: x/9 + 8 = 20. What is x?
  39. 39.Solve: x/7 + 17 = 24. What is x?
  40. 40.Solve: 4t + 18 = 42. What is t?

Answer key

  1. 5
  2. 14
  3. 1
  4. 9
  5. 60
  6. 11
  7. 8
  8. 5
  9. 32
  10. 20
  11. 12
  12. 14
  13. 10
  14. 5
  15. 9
  16. 14
  17. 3
  18. 13
  19. 13
  20. 6
  21. 7
  22. 13
  23. 3
  24. 10
  25. 14
  26. 14
  27. 3
  28. 5
  29. 6
  30. 2
  31. 6
  32. 11
  33. 2
  34. 12
  35. 14
  36. 2
  37. 6
  38. 108
  39. 49
  40. 6

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