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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 900 · 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: t/2 + 20 = 25. What is t?
  2. 2.Meera is 2 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  3. 3.Solve: 4(m + 2) = 16. What is m?
  4. 4.Dev thinks of a number, multiplies it by 2 and then adds 5. The result is 13. What is the number?
  5. 5.Solve: 9y − 25 = 74. What is y?
  6. 6.Solve: 3(t + 7) = 48. What is t?
  7. 7.Solve: 3x − 1 = 41. What is x?
  8. 8.Riya thinks of a number, multiplies it by 5 and then adds 26. The result is 91. What is the number?
  9. 9.Solve: 7(y + 3) = 70. What is y?
  10. 10.Solve: x/8 + 10 = 13. What is x?
  11. 11.Solve: 3(m + 5) = 18. What is m?
  12. 12.Solve: 3y − 1 = 35. What is y?
  13. 13.Solve: 4p + 7 = 23. What is p?
  14. 14.Aditya thinks of a number, multiplies it by 8 and then adds 29. The result is 53. What is the number?
  15. 15.Solve: 8y + 2 = 18. What is y?
  16. 16.Aditya thinks of a number, multiplies it by 3 and then adds 15. The result is 57. What is the number?
  17. 17.Dev thinks of a number, multiplies it by 8 and then adds 18. The result is 98. What is the number?
  18. 18.Solve: 5(y + 2) = 70. What is y?
  19. 19.Solve: 9m − 26 = 1. What is m?
  20. 20.Dev’s mother is twice as old as Dev. Their ages add up to 18 years. How old is Dev?
  21. 21.Solve: x/3 + 18 = 30. What is x?
  22. 22.Solve: 8n + 12 = 52. What is n?
  23. 23.Solve: 2(x + 5) = 24. What is x?
  24. 24.Solve: 8p + 26 = 114. What is p?
  25. 25.Solve: 8t + 2 = 34. What is t?
  26. 26.Solve: 5n − 3 = 22. What is n?
  27. 27.Saanvi is 1 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
  28. 28.Solve: m/8 + 15 = 29. What is m?
  29. 29.Joseph is 7 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  30. 30.Priya thinks of a number, multiplies it by 9 and then adds 10. The result is 136. What is the number?
  31. 31.Solve: 3m − 17 = 16. What is m?
  32. 32.Lakshmi thinks of a number, multiplies it by 6 and then adds 5. The result is 95. What is the number?
  33. 33.Solve: 9(p + 8) = 81. What is p?
  34. 34.Solve: 8(t + 2) = 136. What is t?
  35. 35.Solve: 7p − 11 = 17. What is p?
  36. 36.Solve: 9(y + 1) = 99. What is y?
  37. 37.Solve: 3m − 9 = 24. What is m?
  38. 38.Solve: 2n + 14 = 42. What is n?
  39. 39.Solve: 6(x + 6) = 108. What is x?
  40. 40.Solve: 3n + 13 = 25. What is n?

Answer key

  1. 10
  2. 7
  3. 2
  4. 4
  5. 11
  6. 9
  7. 14
  8. 13
  9. 7
  10. 24
  11. 1
  12. 12
  13. 4
  14. 3
  15. 2
  16. 14
  17. 10
  18. 12
  19. 3
  20. 6
  21. 36
  22. 5
  23. 7
  24. 11
  25. 4
  26. 5
  27. 5
  28. 112
  29. 10
  30. 14
  31. 11
  32. 15
  33. 1
  34. 15
  35. 4
  36. 10
  37. 11
  38. 14
  39. 12
  40. 4

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