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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 978 · 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: 5n − 36 = 19. What is n?
  2. 2.Solve: 4(p + 6) = 36. What is p?
  3. 3.Joseph is 7 years older than a cousin. Their ages add up to 33 years. How old is the cousin?
  4. 4.Solve: 6(m + 7) = 48. What is m?
  5. 5.Sneha thinks of a number, multiplies it by 5 and then adds 24. The result is 99. What is the number?
  6. 6.Solve: 5t − 17 = 3. What is t?
  7. 7.Solve: y/8 + 20 = 21. What is y?
  8. 8.Ishaan’s mother is twice as old as Ishaan. Their ages add up to 33 years. How old is Ishaan?
  9. 9.Solve: 3t − 13 = 14. What is t?
  10. 10.Solve: 5y − 1 = 9. What is y?
  11. 11.Solve: y/2 + 6 = 10. What is y?
  12. 12.Solve: p/7 + 9 = 17. What is p?
  13. 13.Arjun thinks of a number, multiplies it by 8 and then adds 15. The result is 79. What is the number?
  14. 14.Ishaan thinks of a number, multiplies it by 2 and then adds 4. The result is 22. What is the number?
  15. 15.Solve: 5m + 10 = 80. What is m?
  16. 16.Solve: 6t + 15 = 21. What is t?
  17. 17.Solve: 6(y + 2) = 18. What is y?
  18. 18.Solve: 9(n + 3) = 135. What is n?
  19. 19.Solve: 4y + 12 = 48. What is y?
  20. 20.Solve: 2n − 3 = 1. What is n?
  21. 21.Kabir thinks of a number, multiplies it by 5 and then adds 5. The result is 45. What is the number?
  22. 22.Solve: 9(x + 3) = 45. What is x?
  23. 23.Farhan thinks of a number, multiplies it by 2 and then adds 4. The result is 20. What is the number?
  24. 24.Meera thinks of a number, multiplies it by 2 and then adds 8. The result is 12. What is the number?
  25. 25.Priya’s mother is four times as old as Priya. Their ages add up to 70 years. How old is Priya?
  26. 26.Solve: p/8 + 6 = 15. What is p?
  27. 27.Solve: t/2 + 1 = 2. What is t?
  28. 28.Solve: 8y − 6 = 34. What is y?
  29. 29.Diya is 1 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
  30. 30.Solve: 9m + 18 = 99. What is m?
  31. 31.Solve: m/9 + 17 = 29. What is m?
  32. 32.Riya thinks of a number, multiplies it by 4 and then adds 5. The result is 61. What is the number?
  33. 33.Karan is 8 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  34. 34.Solve: 6p + 18 = 24. What is p?
  35. 35.Nisha is 3 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  36. 36.Solve: 5x + 16 = 81. What is x?
  37. 37.Solve: x/2 + 3 = 16. What is x?
  38. 38.Solve: 8t + 6 = 30. What is t?
  39. 39.Diya thinks of a number, multiplies it by 5 and then adds 29. The result is 89. What is the number?
  40. 40.Solve: 3t − 15 = 18. What is t?

Answer key

  1. 11
  2. 3
  3. 13
  4. 1
  5. 15
  6. 4
  7. 8
  8. 11
  9. 9
  10. 2
  11. 8
  12. 56
  13. 8
  14. 9
  15. 14
  16. 1
  17. 1
  18. 12
  19. 9
  20. 2
  21. 8
  22. 2
  23. 8
  24. 2
  25. 14
  26. 72
  27. 2
  28. 5
  29. 5
  30. 9
  31. 108
  32. 14
  33. 11
  34. 1
  35. 11
  36. 13
  37. 26
  38. 3
  39. 12
  40. 11

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