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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 445 · 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: 9(x + 5) = 126. What is x?
  2. 2.Solve: 5t − 5 = 30. What is t?
  3. 3.Solve: 9y + 29 = 83. What is y?
  4. 4.Solve: 6(n + 2) = 36. What is n?
  5. 5.Solve: 6n + 23 = 47. What is n?
  6. 6.Solve: 2m + 25 = 33. What is m?
  7. 7.Sneha is 7 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  8. 8.Solve: p/2 + 3 = 12. What is p?
  9. 9.Solve: m/9 + 4 = 19. What is m?
  10. 10.Solve: n/7 + 12 = 14. What is n?
  11. 11.Solve: 3t + 8 = 23. What is t?
  12. 12.Kavya’s mother is four times as old as Kavya. Their ages add up to 65 years. How old is Kavya?
  13. 13.Solve: n/3 + 5 = 10. What is n?
  14. 14.Solve: 7(n + 3) = 91. What is n?
  15. 15.Solve: 7x − 11 = 24. What is x?
  16. 16.Nisha thinks of a number, multiplies it by 9 and then adds 17. The result is 80. What is the number?
  17. 17.Solve: p/6 + 2 = 5. What is p?
  18. 18.Solve: 5p + 27 = 82. What is p?
  19. 19.Solve: 4m + 8 = 68. What is m?
  20. 20.Solve: 7p + 27 = 111. What is p?
  21. 21.Solve: 3t − 17 = 19. What is t?
  22. 22.Solve: 5(t + 9) = 100. What is t?
  23. 23.Solve: p/4 + 2 = 4. What is p?
  24. 24.Solve: 4(x + 9) = 48. What is x?
  25. 25.Solve: 4(x + 3) = 20. What is x?
  26. 26.Solve: 7(x + 9) = 119. What is x?
  27. 27.Karan thinks of a number, multiplies it by 6 and then adds 4. The result is 22. What is the number?
  28. 28.Priya thinks of a number, multiplies it by 7 and then adds 1. The result is 99. What is the number?
  29. 29.Solve: 4(y + 2) = 20. What is y?
  30. 30.Solve: 5m − 1 = 4. What is m?
  31. 31.Aditya is 3 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
  32. 32.Lakshmi’s mother is three times as old as Lakshmi. Their ages add up to 40 years. How old is Lakshmi?
  33. 33.Saanvi’s mother is four times as old as Saanvi. Their ages add up to 25 years. How old is Saanvi?
  34. 34.Solve: x/3 + 8 = 17. What is x?
  35. 35.Rohan thinks of a number, multiplies it by 2 and then adds 21. The result is 37. What is the number?
  36. 36.Solve: 2y − 7 = 23. What is y?
  37. 37.Solve: 3(y + 2) = 18. What is y?
  38. 38.Solve: 7x − 17 = 25. What is x?
  39. 39.Solve: 4(m + 9) = 84. What is m?
  40. 40.Isha thinks of a number, multiplies it by 3 and then adds 26. The result is 65. What is the number?

Answer key

  1. 9
  2. 7
  3. 6
  4. 4
  5. 4
  6. 4
  7. 5
  8. 18
  9. 135
  10. 14
  11. 5
  12. 13
  13. 15
  14. 10
  15. 5
  16. 7
  17. 18
  18. 11
  19. 15
  20. 12
  21. 12
  22. 11
  23. 8
  24. 3
  25. 2
  26. 8
  27. 3
  28. 14
  29. 3
  30. 1
  31. 4
  32. 10
  33. 5
  34. 27
  35. 8
  36. 15
  37. 4
  38. 6
  39. 12
  40. 13

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