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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 852 · 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: 5y + 27 = 52. What is y?
  2. 2.Aarav is 3 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  3. 3.Gurpreet’s mother is twice as old as Gurpreet. Their ages add up to 33 years. How old is Gurpreet?
  4. 4.Solve: 6(p + 7) = 96. What is p?
  5. 5.Solve: 4t + 17 = 65. What is t?
  6. 6.Solve: y/7 + 14 = 25. What is y?
  7. 7.Diya thinks of a number, multiplies it by 7 and then adds 2. The result is 30. What is the number?
  8. 8.Isha’s mother is twice as old as Isha. Their ages add up to 21 years. How old is Isha?
  9. 9.Solve: 2(x + 1) = 26. What is x?
  10. 10.Rahul’s mother is three times as old as Rahul. Their ages add up to 60 years. How old is Rahul?
  11. 11.Kavya thinks of a number, multiplies it by 5 and then adds 9. The result is 19. What is the number?
  12. 12.Dev thinks of a number, multiplies it by 5 and then adds 1. The result is 16. What is the number?
  13. 13.Joseph is 2 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  14. 14.Solve: x/7 + 1 = 10. What is x?
  15. 15.Solve: 8(x + 9) = 112. What is x?
  16. 16.Farhan thinks of a number, multiplies it by 4 and then adds 27. The result is 83. What is the number?
  17. 17.Solve: 3(y + 7) = 30. What is y?
  18. 18.Solve: 4m + 13 = 73. What is m?
  19. 19.Solve: 9m − 53 = 1. What is m?
  20. 20.Solve: 2t − 6 = 4. What is t?
  21. 21.Arjun’s mother is twice as old as Arjun. Their ages add up to 15 years. How old is Arjun?
  22. 22.Solve: 2n + 30 = 46. What is n?
  23. 23.Solve: 8y − 12 = 76. What is y?
  24. 24.Saanvi thinks of a number, multiplies it by 7 and then adds 29. The result is 134. What is the number?
  25. 25.Solve: 3(m + 5) = 21. What is m?
  26. 26.Diya thinks of a number, multiplies it by 5 and then adds 18. The result is 28. What is the number?
  27. 27.Joseph thinks of a number, multiplies it by 2 and then adds 1. The result is 15. What is the number?
  28. 28.Aarav is 7 years older than a cousin. Their ages add up to 35 years. How old is the cousin?
  29. 29.Solve: 2y − 1 = 1. What is y?
  30. 30.Solve: 6(p + 3) = 24. What is p?
  31. 31.Vivaan thinks of a number, multiplies it by 4 and then adds 12. The result is 56. What is the number?
  32. 32.Solve: 5y + 13 = 68. What is y?
  33. 33.Solve: t/5 + 1 = 13. What is t?
  34. 34.Solve: 7y + 24 = 45. What is y?
  35. 35.Solve: 7t − 3 = 11. What is t?
  36. 36.Solve: 2(y + 5) = 40. What is y?
  37. 37.Solve: 5t + 3 = 33. What is t?
  38. 38.Solve: 9x − 2 = 16. What is x?
  39. 39.Manav is 4 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  40. 40.Solve: 2x − 15 = 3. What is x?

Answer key

  1. 5
  2. 14
  3. 11
  4. 9
  5. 12
  6. 77
  7. 4
  8. 7
  9. 12
  10. 15
  11. 2
  12. 3
  13. 7
  14. 63
  15. 5
  16. 14
  17. 3
  18. 15
  19. 6
  20. 5
  21. 5
  22. 8
  23. 11
  24. 15
  25. 2
  26. 2
  27. 7
  28. 14
  29. 1
  30. 1
  31. 11
  32. 11
  33. 60
  34. 3
  35. 2
  36. 15
  37. 6
  38. 2
  39. 11
  40. 9

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