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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 783 · 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: 4(x + 3) = 40. What is x?
  2. 2.Solve: 4m − 48 = 4. What is m?
  3. 3.Solve: 7t + 7 = 63. What is t?
  4. 4.Pooja’s mother is twice as old as Pooja. Their ages add up to 18 years. How old is Pooja?
  5. 5.Farhan thinks of a number, multiplies it by 4 and then adds 13. The result is 73. What is the number?
  6. 6.Pooja thinks of a number, multiplies it by 3 and then adds 24. The result is 48. What is the number?
  7. 7.Solve: 4p + 17 = 41. What is p?
  8. 8.Lakshmi thinks of a number, multiplies it by 4 and then adds 1. The result is 5. What is the number?
  9. 9.Solve: 8t − 106 = 6. What is t?
  10. 10.Solve: 4m − 16 = 8. What is m?
  11. 11.Solve: 7x − 10 = 88. What is x?
  12. 12.Solve: 4(n + 5) = 80. What is n?
  13. 13.Solve: 4m − 16 = 36. What is m?
  14. 14.Manav thinks of a number, multiplies it by 3 and then adds 17. The result is 23. What is the number?
  15. 15.Saanvi thinks of a number, multiplies it by 9 and then adds 2. The result is 83. What is the number?
  16. 16.Meera is 5 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  17. 17.Solve: x/2 + 2 = 16. What is x?
  18. 18.Solve: 8m + 10 = 58. What is m?
  19. 19.Solve: 3(y + 7) = 42. What is y?
  20. 20.Solve: t/7 + 7 = 18. What is t?
  21. 21.Solve: 7m + 26 = 131. What is m?
  22. 22.Karan’s mother is twice as old as Karan. Their ages add up to 12 years. How old is Karan?
  23. 23.Solve: p/3 + 4 = 8. What is p?
  24. 24.Solve: 4p − 26 = 34. What is p?
  25. 25.Solve: 9y + 23 = 86. What is y?
  26. 26.Solve: 5x − 21 = 24. What is x?
  27. 27.Priya is 3 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  28. 28.Dev is 7 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  29. 29.Solve: 5p − 6 = 34. What is p?
  30. 30.Solve: 7(m + 9) = 105. What is m?
  31. 31.Solve: 6(n + 1) = 36. What is n?
  32. 32.Solve: 7y + 1 = 85. What is y?
  33. 33.Ishaan’s mother is four times as old as Ishaan. Their ages add up to 30 years. How old is Ishaan?
  34. 34.Solve: 8(t + 7) = 136. What is t?
  35. 35.Solve: x/2 + 6 = 15. What is x?
  36. 36.Kavya is 8 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  37. 37.Aarav thinks of a number, multiplies it by 4 and then adds 29. The result is 73. What is the number?
  38. 38.Solve: n/6 + 16 = 27. What is n?
  39. 39.Solve: n/7 + 17 = 24. What is n?
  40. 40.Solve: 9(m + 4) = 90. What is m?

Answer key

  1. 7
  2. 13
  3. 8
  4. 6
  5. 15
  6. 8
  7. 6
  8. 1
  9. 14
  10. 6
  11. 14
  12. 15
  13. 13
  14. 2
  15. 9
  16. 10
  17. 28
  18. 6
  19. 7
  20. 77
  21. 15
  22. 4
  23. 12
  24. 15
  25. 7
  26. 9
  27. 5
  28. 8
  29. 8
  30. 6
  31. 5
  32. 12
  33. 6
  34. 10
  35. 18
  36. 8
  37. 11
  38. 66
  39. 49
  40. 6

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