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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 450 · 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: 5(m + 5) = 70. What is m?
  2. 2.Saanvi thinks of a number, multiplies it by 3 and then adds 10. The result is 22. What is the number?
  3. 3.Solve: 9y − 12 = 6. What is y?
  4. 4.Solve: 7m − 2 = 5. What is m?
  5. 5.Solve: t/3 + 6 = 18. What is t?
  6. 6.Nisha thinks of a number, multiplies it by 4 and then adds 25. The result is 65. What is the number?
  7. 7.Solve: 2m − 9 = 5. What is m?
  8. 8.Solve: m/2 + 20 = 24. What is m?
  9. 9.Solve: 7m − 5 = 2. What is m?
  10. 10.Ishaan’s mother is twice as old as Ishaan. Their ages add up to 18 years. How old is Ishaan?
  11. 11.Solve: 3x − 4 = 20. What is x?
  12. 12.Solve: p/3 + 18 = 27. What is p?
  13. 13.Farhan’s mother is four times as old as Farhan. Their ages add up to 45 years. How old is Farhan?
  14. 14.Karan thinks of a number, multiplies it by 3 and then adds 22. The result is 31. What is the number?
  15. 15.Solve: p/3 + 4 = 9. What is p?
  16. 16.Farhan thinks of a number, multiplies it by 2 and then adds 18. The result is 42. What is the number?
  17. 17.Sneha thinks of a number, multiplies it by 2 and then adds 16. The result is 40. What is the number?
  18. 18.Arjun’s mother is four times as old as Arjun. Their ages add up to 25 years. How old is Arjun?
  19. 19.Solve: 5(y + 1) = 25. What is y?
  20. 20.Solve: 2t + 22 = 34. What is t?
  21. 21.Solve: 7(x + 1) = 112. What is x?
  22. 22.Solve: 9n + 26 = 98. What is n?
  23. 23.Solve: 9(t + 1) = 27. What is t?
  24. 24.Solve: 5(m + 3) = 60. What is m?
  25. 25.Solve: 9x + 7 = 70. What is x?
  26. 26.Solve: 8n − 20 = 60. What is n?
  27. 27.Solve: 4t + 3 = 31. What is t?
  28. 28.Karan’s mother is twice as old as Karan. Their ages add up to 27 years. How old is Karan?
  29. 29.Solve: 2(n + 3) = 30. What is n?
  30. 30.Solve: 9t + 18 = 99. What is t?
  31. 31.Solve: 7y + 22 = 120. What is y?
  32. 32.Zoya thinks of a number, multiplies it by 3 and then adds 9. The result is 54. What is the number?
  33. 33.Solve: 6t − 78 = 12. What is t?
  34. 34.Solve: 6(y + 2) = 30. What is y?
  35. 35.Solve: t/9 + 16 = 23. What is t?
  36. 36.Aditya thinks of a number, multiplies it by 7 and then adds 25. The result is 39. What is the number?
  37. 37.Solve: 2(x + 9) = 42. What is x?
  38. 38.Solve: 3(m + 7) = 33. What is m?
  39. 39.Karan is 6 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  40. 40.Solve: x/8 + 1 = 2. What is x?

Answer key

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

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