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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 487 · 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(m + 9) = 135. What is m?
  2. 2.Solve: 8t + 28 = 44. What is t?
  3. 3.Solve: 8m − 7 = 25. What is m?
  4. 4.Nisha thinks of a number, multiplies it by 8 and then adds 13. The result is 93. What is the number?
  5. 5.Solve: 5x + 6 = 16. What is x?
  6. 6.Arjun’s mother is three times as old as Arjun. Their ages add up to 28 years. How old is Arjun?
  7. 7.Solve: 7y − 22 = 13. What is y?
  8. 8.Solve: p/3 + 11 = 14. What is p?
  9. 9.Solve: 3n − 8 = 4. What is n?
  10. 10.Solve: t/4 + 16 = 22. What is t?
  11. 11.Nisha thinks of a number, multiplies it by 2 and then adds 4. The result is 34. What is the number?
  12. 12.Solve: 6x − 18 = 12. What is x?
  13. 13.Karan’s mother is twice as old as Karan. Their ages add up to 33 years. How old is Karan?
  14. 14.Solve: n/5 + 5 = 7. What is n?
  15. 15.Solve: 9x − 34 = 101. What is x?
  16. 16.Solve: 5m − 36 = 4. What is m?
  17. 17.Solve: 2(n + 9) = 24. What is n?
  18. 18.Farhan thinks of a number, multiplies it by 5 and then adds 8. The result is 73. What is the number?
  19. 19.Solve: 2(t + 4) = 26. What is t?
  20. 20.Solve: 3(y + 2) = 42. What is y?
  21. 21.Arjun thinks of a number, multiplies it by 6 and then adds 9. The result is 75. What is the number?
  22. 22.Solve: 6n + 19 = 31. What is n?
  23. 23.Solve: m/3 + 9 = 13. What is m?
  24. 24.Solve: n/3 + 8 = 21. What is n?
  25. 25.Solve: 7t + 1 = 15. What is t?
  26. 26.Saanvi is 2 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  27. 27.Solve: 5t − 1 = 54. What is t?
  28. 28.Solve: 7t + 16 = 114. What is t?
  29. 29.Solve: 7m − 46 = 10. What is m?
  30. 30.Solve: 3(p + 6) = 27. What is p?
  31. 31.Solve: 8t − 3 = 117. What is t?
  32. 32.Aarav is 8 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  33. 33.Solve: 2(y + 4) = 28. What is y?
  34. 34.Isha thinks of a number, multiplies it by 3 and then adds 28. The result is 46. What is the number?
  35. 35.Solve: 3n − 19 = 5. What is n?
  36. 36.Solve: 4n − 45 = 15. What is n?
  37. 37.Solve: n/2 + 15 = 27. What is n?
  38. 38.Solve: x/5 + 18 = 27. What is x?
  39. 39.Solve: y/7 + 13 = 15. What is y?
  40. 40.Solve: 8x + 9 = 73. What is x?

Answer key

  1. 6
  2. 2
  3. 4
  4. 10
  5. 2
  6. 7
  7. 5
  8. 9
  9. 4
  10. 24
  11. 15
  12. 5
  13. 11
  14. 10
  15. 15
  16. 8
  17. 3
  18. 13
  19. 9
  20. 12
  21. 11
  22. 2
  23. 12
  24. 39
  25. 2
  26. 6
  27. 11
  28. 14
  29. 8
  30. 3
  31. 15
  32. 8
  33. 10
  34. 6
  35. 8
  36. 15
  37. 24
  38. 45
  39. 14
  40. 8

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