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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 712 · 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: 5t + 9 = 24. What is t?
  2. 2.Solve: 8y − 5 = 11. What is y?
  3. 3.Lakshmi thinks of a number, multiplies it by 6 and then adds 25. The result is 115. What is the number?
  4. 4.Solve: 4y − 10 = 18. What is y?
  5. 5.Solve: m/8 + 4 = 12. What is m?
  6. 6.Farhan is 6 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  7. 7.Solve: m/9 + 7 = 18. What is m?
  8. 8.Solve: 4p − 46 = 10. What is p?
  9. 9.Solve: m/3 + 2 = 5. What is m?
  10. 10.Solve: 5n − 4 = 36. What is n?
  11. 11.Kabir is 5 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  12. 12.Ishaan thinks of a number, multiplies it by 3 and then adds 12. The result is 39. What is the number?
  13. 13.Solve: 5n − 19 = 31. What is n?
  14. 14.Solve: p/6 + 13 = 18. What is p?
  15. 15.Karan is 6 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  16. 16.Solve: 3(n + 5) = 51. What is n?
  17. 17.Ishaan is 4 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  18. 18.Solve: p/3 + 4 = 14. What is p?
  19. 19.Solve: 3n + 20 = 44. What is n?
  20. 20.Solve: n/2 + 19 = 33. What is n?
  21. 21.Priya is 6 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  22. 22.Solve: p/9 + 5 = 7. What is p?
  23. 23.Gurpreet thinks of a number, multiplies it by 7 and then adds 22. The result is 85. What is the number?
  24. 24.Ishaan thinks of a number, multiplies it by 2 and then adds 8. The result is 14. What is the number?
  25. 25.Riya thinks of a number, multiplies it by 6 and then adds 13. The result is 103. What is the number?
  26. 26.Solve: 3t − 5 = 40. What is t?
  27. 27.Solve: 7(p + 9) = 105. What is p?
  28. 28.Solve: 9p − 101 = 34. What is p?
  29. 29.Solve: 3x − 1 = 2. What is x?
  30. 30.Solve: 6(p + 2) = 42. What is p?
  31. 31.Farhan is 2 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  32. 32.Zoya is 3 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  33. 33.Solve: 3(x + 5) = 45. What is x?
  34. 34.Solve: 9m − 31 = 14. What is m?
  35. 35.Diya thinks of a number, multiplies it by 6 and then adds 26. The result is 62. What is the number?
  36. 36.Solve: p/5 + 13 = 20. What is p?
  37. 37.Solve: 9m − 61 = 29. What is m?
  38. 38.Solve: 2(t + 8) = 40. What is t?
  39. 39.Sneha is 3 years older than a cousin. Their ages add up to 33 years. How old is the cousin?
  40. 40.Solve: 2y − 4 = 6. What is y?

Answer key

  1. 3
  2. 2
  3. 15
  4. 7
  5. 64
  6. 10
  7. 99
  8. 14
  9. 9
  10. 8
  11. 13
  12. 9
  13. 10
  14. 30
  15. 13
  16. 12
  17. 7
  18. 30
  19. 8
  20. 28
  21. 7
  22. 18
  23. 9
  24. 3
  25. 15
  26. 15
  27. 6
  28. 15
  29. 1
  30. 5
  31. 8
  32. 8
  33. 10
  34. 5
  35. 6
  36. 35
  37. 10
  38. 12
  39. 15
  40. 5

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