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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 310 · 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: m/8 + 10 = 22. What is m?
  2. 2.Solve: 2x − 17 = 3. What is x?
  3. 3.Solve: 7y − 13 = 1. What is y?
  4. 4.Solve: 2x + 1 = 7. What is x?
  5. 5.Solve: t/5 + 10 = 21. What is t?
  6. 6.Solve: 3(x + 2) = 42. What is x?
  7. 7.Aditya is 6 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  8. 8.Solve: m/9 + 1 = 8. What is m?
  9. 9.Diya thinks of a number, multiplies it by 8 and then adds 23. The result is 103. What is the number?
  10. 10.Solve: 7n − 1 = 6. What is n?
  11. 11.Solve: p/3 + 17 = 18. What is p?
  12. 12.Sneha thinks of a number, multiplies it by 3 and then adds 27. The result is 36. What is the number?
  13. 13.Solve: 6x + 26 = 110. What is x?
  14. 14.Meera thinks of a number, multiplies it by 5 and then adds 23. The result is 48. What is the number?
  15. 15.Solve: n/2 + 9 = 16. What is n?
  16. 16.Solve: t/7 + 18 = 29. What is t?
  17. 17.Saanvi is 2 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  18. 18.Solve: 8p + 4 = 116. What is p?
  19. 19.Solve: 3(x + 6) = 54. What is x?
  20. 20.Solve: t/6 + 12 = 25. What is t?
  21. 21.Solve: 3p + 16 = 58. What is p?
  22. 22.Solve: 6t + 2 = 62. What is t?
  23. 23.Solve: 7x − 25 = 3. What is x?
  24. 24.Solve: n/2 + 7 = 11. What is n?
  25. 25.Solve: 8t + 9 = 89. What is t?
  26. 26.Aditya is 5 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  27. 27.Solve: t/8 + 12 = 14. What is t?
  28. 28.Kabir is 7 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  29. 29.Solve: 2(t + 4) = 10. What is t?
  30. 30.Arjun thinks of a number, multiplies it by 9 and then adds 11. The result is 74. What is the number?
  31. 31.Solve: 2n + 13 = 37. What is n?
  32. 32.Solve: 6y + 3 = 9. What is y?
  33. 33.Solve: 7(p + 9) = 91. What is p?
  34. 34.Solve: 5(y + 9) = 110. What is y?
  35. 35.Solve: p/7 + 20 = 28. What is p?
  36. 36.Saanvi is 2 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  37. 37.Solve: 6n + 27 = 51. What is n?
  38. 38.Solve: x/2 + 17 = 24. What is x?
  39. 39.Tara thinks of a number, multiplies it by 7 and then adds 26. The result is 124. What is the number?
  40. 40.Solve: 5(y + 7) = 80. What is y?

Answer key

  1. 96
  2. 10
  3. 2
  4. 3
  5. 55
  6. 12
  7. 8
  8. 63
  9. 10
  10. 1
  11. 3
  12. 3
  13. 14
  14. 5
  15. 14
  16. 77
  17. 13
  18. 14
  19. 12
  20. 78
  21. 14
  22. 10
  23. 4
  24. 8
  25. 10
  26. 4
  27. 16
  28. 12
  29. 1
  30. 7
  31. 12
  32. 1
  33. 4
  34. 13
  35. 56
  36. 12
  37. 4
  38. 14
  39. 14
  40. 9

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