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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 360 · 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.Farhan’s mother is twice as old as Farhan. Their ages add up to 39 years. How old is Farhan?
  2. 2.Solve: y/7 + 12 = 23. What is y?
  3. 3.Solve: t/3 + 1 = 2. What is t?
  4. 4.Solve: 8t + 15 = 39. What is t?
  5. 5.Farhan is 6 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  6. 6.Solve: 4(p + 8) = 64. What is p?
  7. 7.Solve: 7(x + 5) = 84. What is x?
  8. 8.Solve: 9x + 28 = 100. What is x?
  9. 9.Solve: 5(x + 2) = 45. What is x?
  10. 10.Solve: 2t − 8 = 2. What is t?
  11. 11.Solve: m/8 + 12 = 18. What is m?
  12. 12.Solve: 8(t + 7) = 128. What is t?
  13. 13.Solve: 2x − 17 = 13. What is x?
  14. 14.Solve: 9(n + 3) = 153. What is n?
  15. 15.Solve: 4(t + 1) = 56. What is t?
  16. 16.Solve: 3m + 6 = 36. What is m?
  17. 17.Solve: p/7 + 3 = 7. What is p?
  18. 18.Solve: t/9 + 8 = 10. What is t?
  19. 19.Solve: 2y + 17 = 33. What is y?
  20. 20.Aarav thinks of a number, multiplies it by 9 and then adds 11. The result is 128. What is the number?
  21. 21.Aditya’s mother is four times as old as Aditya. Their ages add up to 40 years. How old is Aditya?
  22. 22.Kavya’s mother is three times as old as Kavya. Their ages add up to 32 years. How old is Kavya?
  23. 23.Solve: 5(y + 6) = 90. What is y?
  24. 24.Manav’s mother is three times as old as Manav. Their ages add up to 24 years. How old is Manav?
  25. 25.Karan thinks of a number, multiplies it by 7 and then adds 24. The result is 87. What is the number?
  26. 26.Arjun’s mother is twice as old as Arjun. Their ages add up to 18 years. How old is Arjun?
  27. 27.Rahul thinks of a number, multiplies it by 8 and then adds 22. The result is 126. What is the number?
  28. 28.Solve: t/3 + 13 = 25. What is t?
  29. 29.Solve: n/6 + 17 = 25. What is n?
  30. 30.Solve: 6p − 4 = 14. What is p?
  31. 31.Solve: 3(m + 9) = 69. What is m?
  32. 32.Solve: 3x + 9 = 39. What is x?
  33. 33.Solve: 7(m + 9) = 119. What is m?
  34. 34.Meera thinks of a number, multiplies it by 3 and then adds 29. The result is 32. What is the number?
  35. 35.Solve: x/8 + 16 = 26. What is x?
  36. 36.Riya’s mother is twice as old as Riya. Their ages add up to 39 years. How old is Riya?
  37. 37.Solve: m/8 + 20 = 29. What is m?
  38. 38.Ananya’s mother is twice as old as Ananya. Their ages add up to 21 years. How old is Ananya?
  39. 39.Solve: 6(x + 1) = 90. What is x?
  40. 40.Solve: t/2 + 6 = 17. What is t?

Answer key

  1. 13
  2. 77
  3. 3
  4. 3
  5. 5
  6. 8
  7. 7
  8. 8
  9. 7
  10. 5
  11. 48
  12. 9
  13. 15
  14. 14
  15. 13
  16. 10
  17. 28
  18. 18
  19. 8
  20. 13
  21. 8
  22. 8
  23. 12
  24. 6
  25. 9
  26. 6
  27. 13
  28. 36
  29. 48
  30. 3
  31. 14
  32. 10
  33. 8
  34. 1
  35. 80
  36. 13
  37. 72
  38. 7
  39. 14
  40. 22

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