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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 676 · 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.Arjun thinks of a number, multiplies it by 8 and then adds 20. The result is 44. What is the number?
  2. 2.Solve: 4t − 3 = 9. What is t?
  3. 3.Solve: 6m − 2 = 22. What is m?
  4. 4.Solve: 8(t + 1) = 96. What is t?
  5. 5.Solve: y/5 + 9 = 21. What is y?
  6. 6.Solve: 8p + 6 = 86. What is p?
  7. 7.Vivaan thinks of a number, multiplies it by 6 and then adds 25. The result is 43. What is the number?
  8. 8.Solve: 3(t + 8) = 57. What is t?
  9. 9.Solve: 3(n + 4) = 42. What is n?
  10. 10.Solve: 3(x + 5) = 51. What is x?
  11. 11.Solve: 2(t + 2) = 18. What is t?
  12. 12.Rahul thinks of a number, multiplies it by 6 and then adds 15. The result is 69. What is the number?
  13. 13.Solve: y/4 + 5 = 18. What is y?
  14. 14.Solve: 2(t + 5) = 40. What is t?
  15. 15.Ishaan is 4 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  16. 16.Solve: 7(m + 7) = 154. What is m?
  17. 17.Kavya is 8 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  18. 18.Solve: 3(n + 9) = 72. What is n?
  19. 19.Solve: 3m − 14 = 7. What is m?
  20. 20.Solve: 5m − 24 = 11. What is m?
  21. 21.Solve: n/2 + 12 = 21. What is n?
  22. 22.Meera thinks of a number, multiplies it by 8 and then adds 13. The result is 85. What is the number?
  23. 23.Manav thinks of a number, multiplies it by 9 and then adds 8. The result is 125. What is the number?
  24. 24.Solve: 2(m + 1) = 24. What is m?
  25. 25.Solve: 3x − 10 = 5. What is x?
  26. 26.Solve: 3(p + 8) = 33. What is p?
  27. 27.Solve: 8m + 29 = 69. What is m?
  28. 28.Solve: 9n + 21 = 138. What is n?
  29. 29.Solve: 2(m + 6) = 22. What is m?
  30. 30.Solve: 6y + 23 = 113. What is y?
  31. 31.Solve: 7(t + 1) = 84. What is t?
  32. 32.Solve: 6p − 37 = 5. What is p?
  33. 33.Meera is 7 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  34. 34.Arjun’s mother is four times as old as Arjun. Their ages add up to 35 years. How old is Arjun?
  35. 35.Solve: 3(t + 6) = 21. What is t?
  36. 36.Pooja is 2 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  37. 37.Solve: p/3 + 6 = 13. What is p?
  38. 38.Solve: 2(y + 1) = 16. What is y?
  39. 39.Solve: 2x + 17 = 33. What is x?
  40. 40.Solve: x/7 + 20 = 26. What is x?

Answer key

  1. 3
  2. 3
  3. 4
  4. 11
  5. 60
  6. 10
  7. 3
  8. 11
  9. 10
  10. 12
  11. 7
  12. 9
  13. 52
  14. 15
  15. 13
  16. 15
  17. 10
  18. 15
  19. 7
  20. 7
  21. 18
  22. 9
  23. 13
  24. 11
  25. 5
  26. 3
  27. 5
  28. 13
  29. 5
  30. 15
  31. 11
  32. 7
  33. 7
  34. 7
  35. 1
  36. 12
  37. 21
  38. 7
  39. 8
  40. 42

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