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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 181 · 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.Manav is 3 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  2. 2.Solve: p/2 + 6 = 15. What is p?
  3. 3.Isha thinks of a number, multiplies it by 2 and then adds 4. The result is 34. What is the number?
  4. 4.Solve: x/2 + 12 = 24. What is x?
  5. 5.Gurpreet’s mother is three times as old as Gurpreet. Their ages add up to 24 years. How old is Gurpreet?
  6. 6.Riya thinks of a number, multiplies it by 2 and then adds 1. The result is 29. What is the number?
  7. 7.Solve: 6y + 8 = 86. What is y?
  8. 8.Solve: 7(t + 1) = 49. What is t?
  9. 9.Solve: p/8 + 14 = 21. What is p?
  10. 10.Solve: 3n − 27 = 6. What is n?
  11. 11.Dev thinks of a number, multiplies it by 5 and then adds 30. The result is 35. What is the number?
  12. 12.Solve: 8(t + 5) = 48. What is t?
  13. 13.Solve: 3(m + 2) = 9. What is m?
  14. 14.Solve: p/4 + 4 = 16. What is p?
  15. 15.Joseph’s mother is three times as old as Joseph. Their ages add up to 44 years. How old is Joseph?
  16. 16.Solve: n/9 + 6 = 14. What is n?
  17. 17.Solve: 6y − 2 = 4. What is y?
  18. 18.Solve: 5m + 11 = 51. What is m?
  19. 19.Solve: 4(p + 5) = 76. What is p?
  20. 20.Solve: m/2 + 5 = 17. What is m?
  21. 21.Zoya is 8 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  22. 22.Solve: 8x − 8 = 8. What is x?
  23. 23.Arjun thinks of a number, multiplies it by 4 and then adds 12. The result is 16. What is the number?
  24. 24.Solve: 3m + 2 = 11. What is m?
  25. 25.Isha thinks of a number, multiplies it by 9 and then adds 25. The result is 124. What is the number?
  26. 26.Rohan thinks of a number, multiplies it by 5 and then adds 26. The result is 51. What is the number?
  27. 27.Solve: 9(n + 1) = 54. What is n?
  28. 28.Solve: 4t − 1 = 11. What is t?
  29. 29.Solve: m/5 + 19 = 22. What is m?
  30. 30.Solve: 5x − 5 = 35. What is x?
  31. 31.Solve: p/4 + 15 = 17. What is p?
  32. 32.Solve: 3t + 11 = 20. What is t?
  33. 33.Solve: 5p − 19 = 21. What is p?
  34. 34.Kavya’s mother is four times as old as Kavya. Their ages add up to 65 years. How old is Kavya?
  35. 35.Solve: 9x − 26 = 37. What is x?
  36. 36.Solve: 2(p + 8) = 30. What is p?
  37. 37.Solve: 7t − 13 = 1. What is t?
  38. 38.Aarav is 8 years older than a cousin. Their ages add up to 36 years. How old is the cousin?
  39. 39.Solve: 7n + 27 = 83. What is n?
  40. 40.Isha is 1 years older than a cousin. Their ages add up to 13 years. How old is the cousin?

Answer key

  1. 13
  2. 18
  3. 15
  4. 24
  5. 6
  6. 14
  7. 13
  8. 6
  9. 56
  10. 11
  11. 1
  12. 1
  13. 1
  14. 48
  15. 11
  16. 72
  17. 1
  18. 8
  19. 14
  20. 24
  21. 11
  22. 2
  23. 1
  24. 3
  25. 11
  26. 5
  27. 5
  28. 3
  29. 15
  30. 8
  31. 8
  32. 3
  33. 8
  34. 13
  35. 7
  36. 7
  37. 2
  38. 14
  39. 8
  40. 6

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