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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 834 · 40 sums
TalentJR

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: 5(m + 6) = 80. What is m?
  2. 2.Solve: 4(x + 3) = 48. What is x?
  3. 3.Sneha is 3 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  4. 4.Solve: 3y − 19 = 23. What is y?
  5. 5.Solve: 8x + 22 = 110. What is x?
  6. 6.Nisha thinks of a number, multiplies it by 7 and then adds 24. The result is 108. What is the number?
  7. 7.Solve: 5y − 1 = 4. What is y?
  8. 8.Solve: 7(t + 8) = 119. What is t?
  9. 9.Solve: 2p − 9 = 17. What is p?
  10. 10.Priya is 4 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  11. 11.Solve: 6(y + 9) = 114. What is y?
  12. 12.Solve: 5(n + 2) = 75. What is n?
  13. 13.Solve: 6m − 4 = 56. What is m?
  14. 14.Solve: 4n + 2 = 6. What is n?
  15. 15.Solve: 2(x + 7) = 22. What is x?
  16. 16.Solve: 7(n + 6) = 126. What is n?
  17. 17.Solve: 6t + 2 = 86. What is t?
  18. 18.Solve: 3t + 19 = 58. What is t?
  19. 19.Solve: 3m + 26 = 29. What is m?
  20. 20.Solve: 2x − 17 = 1. What is x?
  21. 21.Solve: 9n + 28 = 46. What is n?
  22. 22.Solve: 2(y + 9) = 24. What is y?
  23. 23.Solve: t/9 + 5 = 16. What is t?
  24. 24.Solve: 9m − 26 = 91. What is m?
  25. 25.Solve: 2p − 8 = 2. What is p?
  26. 26.Ananya thinks of a number, multiplies it by 3 and then adds 4. The result is 49. What is the number?
  27. 27.Solve: 4m + 4 = 28. What is m?
  28. 28.Solve: n/9 + 5 = 16. What is n?
  29. 29.Solve: 2(y + 8) = 20. What is y?
  30. 30.Solve: n/5 + 12 = 25. What is n?
  31. 31.Tara thinks of a number, multiplies it by 6 and then adds 27. The result is 33. What is the number?
  32. 32.Solve: 2x − 1 = 1. What is x?
  33. 33.Solve: 4y − 4 = 4. What is y?
  34. 34.Solve: 2(p + 3) = 36. What is p?
  35. 35.Solve: 3t − 9 = 24. What is t?
  36. 36.Solve: 5(t + 3) = 30. What is t?
  37. 37.Diya thinks of a number, multiplies it by 7 and then adds 28. The result is 112. What is the number?
  38. 38.Solve: 8y + 22 = 38. What is y?
  39. 39.Lakshmi thinks of a number, multiplies it by 7 and then adds 18. The result is 46. What is the number?
  40. 40.Solve: 7t + 6 = 34. What is t?

Answer key

  1. 10
  2. 9
  3. 14
  4. 14
  5. 11
  6. 12
  7. 1
  8. 9
  9. 13
  10. 5
  11. 10
  12. 13
  13. 10
  14. 1
  15. 4
  16. 12
  17. 14
  18. 13
  19. 1
  20. 9
  21. 2
  22. 3
  23. 99
  24. 13
  25. 5
  26. 15
  27. 6
  28. 99
  29. 2
  30. 65
  31. 1
  32. 1
  33. 2
  34. 15
  35. 11
  36. 3
  37. 12
  38. 2
  39. 4
  40. 4

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