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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 164 · 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: 7(n + 3) = 56. What is n?
  2. 2.Solve: t/4 + 1 = 3. What is t?
  3. 3.Solve: 7p − 1 = 6. What is p?
  4. 4.Solve: y/8 + 1 = 9. What is y?
  5. 5.Solve: 3(t + 3) = 12. What is t?
  6. 6.Solve: 5n − 64 = 6. What is n?
  7. 7.Gurpreet thinks of a number, multiplies it by 9 and then adds 8. The result is 116. What is the number?
  8. 8.Solve: m/8 + 5 = 12. What is m?
  9. 9.Nisha thinks of a number, multiplies it by 4 and then adds 20. The result is 72. What is the number?
  10. 10.Solve: 5x − 39 = 6. What is x?
  11. 11.Solve: 6p − 14 = 28. What is p?
  12. 12.Solve: t/8 + 2 = 16. What is t?
  13. 13.Zoya is 1 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  14. 14.Solve: 9n + 11 = 56. What is n?
  15. 15.Solve: 8(m + 3) = 96. What is m?
  16. 16.Solve: 7(x + 7) = 133. What is x?
  17. 17.Solve: 8t + 16 = 64. What is t?
  18. 18.Solve: n/2 + 8 = 9. What is n?
  19. 19.Solve: 3y − 23 = 1. What is y?
  20. 20.Solve: p/3 + 10 = 18. What is p?
  21. 21.Solve: y/4 + 15 = 24. What is y?
  22. 22.Solve: 4p − 13 = 7. What is p?
  23. 23.Solve: 5n − 19 = 1. What is n?
  24. 24.Solve: 4y − 3 = 9. What is y?
  25. 25.Solve: 6p − 52 = 26. What is p?
  26. 26.Manav thinks of a number, multiplies it by 9 and then adds 14. The result is 113. What is the number?
  27. 27.Solve: y/7 + 7 = 14. What is y?
  28. 28.Saanvi’s mother is four times as old as Saanvi. Their ages add up to 45 years. How old is Saanvi?
  29. 29.Dev’s mother is three times as old as Dev. Their ages add up to 40 years. How old is Dev?
  30. 30.Solve: n/2 + 3 = 12. What is n?
  31. 31.Solve: p/2 + 7 = 9. What is p?
  32. 32.Solve: 2y − 1 = 23. What is y?
  33. 33.Solve: 5x − 23 = 52. What is x?
  34. 34.Solve: 7p + 29 = 134. What is p?
  35. 35.Solve: 9m − 16 = 29. What is m?
  36. 36.Diya is 3 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
  37. 37.Solve: 4(n + 8) = 92. What is n?
  38. 38.Solve: 3x + 2 = 38. What is x?
  39. 39.Solve: 7t + 23 = 72. What is t?
  40. 40.Arjun’s mother is twice as old as Arjun. Their ages add up to 39 years. How old is Arjun?

Answer key

  1. 5
  2. 8
  3. 1
  4. 64
  5. 1
  6. 14
  7. 12
  8. 56
  9. 13
  10. 9
  11. 7
  12. 112
  13. 7
  14. 5
  15. 9
  16. 12
  17. 6
  18. 2
  19. 8
  20. 24
  21. 36
  22. 5
  23. 4
  24. 3
  25. 13
  26. 11
  27. 49
  28. 9
  29. 10
  30. 18
  31. 4
  32. 12
  33. 15
  34. 15
  35. 5
  36. 4
  37. 15
  38. 12
  39. 7
  40. 13

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