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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 701 · 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: 6m + 8 = 92. What is m?
  2. 2.Karan’s mother is four times as old as Karan. Their ages add up to 70 years. How old is Karan?
  3. 3.Solve: 6x + 30 = 90. What is x?
  4. 4.Solve: x/3 + 2 = 13. What is x?
  5. 5.Manav’s mother is twice as old as Manav. Their ages add up to 21 years. How old is Manav?
  6. 6.Lakshmi’s mother is four times as old as Lakshmi. Their ages add up to 35 years. How old is Lakshmi?
  7. 7.Kabir thinks of a number, multiplies it by 6 and then adds 13. The result is 103. What is the number?
  8. 8.Rahul thinks of a number, multiplies it by 4 and then adds 29. The result is 33. What is the number?
  9. 9.Solve: 8t − 28 = 28. What is t?
  10. 10.Solve: 5n + 3 = 43. What is n?
  11. 11.Lakshmi thinks of a number, multiplies it by 8 and then adds 26. The result is 74. What is the number?
  12. 12.Solve: 8(t + 9) = 176. What is t?
  13. 13.Solve: 2(p + 2) = 34. What is p?
  14. 14.Solve: 2(m + 1) = 18. What is m?
  15. 15.Solve: 7x + 4 = 95. What is x?
  16. 16.Sneha is 5 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  17. 17.Farhan thinks of a number, multiplies it by 3 and then adds 23. The result is 29. What is the number?
  18. 18.Solve: 5m − 4 = 1. What is m?
  19. 19.Rahul thinks of a number, multiplies it by 2 and then adds 21. The result is 43. What is the number?
  20. 20.Solve: 9x + 23 = 131. What is x?
  21. 21.Solve: 2(t + 5) = 28. What is t?
  22. 22.Solve: m/3 + 14 = 22. What is m?
  23. 23.Priya’s mother is twice as old as Priya. Their ages add up to 42 years. How old is Priya?
  24. 24.Solve: 3x − 2 = 16. What is x?
  25. 25.Solve: 9y + 1 = 28. What is y?
  26. 26.Diya is 5 years older than a cousin. Their ages add up to 33 years. How old is the cousin?
  27. 27.Solve: 4m − 41 = 3. What is m?
  28. 28.Karan thinks of a number, multiplies it by 7 and then adds 25. The result is 46. What is the number?
  29. 29.Solve: 7(t + 2) = 119. What is t?
  30. 30.Solve: 9(n + 9) = 153. What is n?
  31. 31.Zoya’s mother is twice as old as Zoya. Their ages add up to 42 years. How old is Zoya?
  32. 32.Kabir is 2 years older than a cousin. Their ages add up to 10 years. How old is the cousin?
  33. 33.Solve: 8p − 30 = 2. What is p?
  34. 34.Solve: 3x + 17 = 26. What is x?
  35. 35.Solve: 8(x + 1) = 32. What is x?
  36. 36.Solve: 4(p + 7) = 72. What is p?
  37. 37.Aditya’s mother is four times as old as Aditya. Their ages add up to 75 years. How old is Aditya?
  38. 38.Solve: 9y − 11 = 43. What is y?
  39. 39.Solve: 7t − 8 = 20. What is t?
  40. 40.Solve: 8t − 17 = 7. What is t?

Answer key

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

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