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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 350 · 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: 4t − 2 = 2. What is t?
  2. 2.Solve: 5n + 20 = 90. What is n?
  3. 3.Kabir is 3 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  4. 4.Gurpreet’s mother is four times as old as Gurpreet. Their ages add up to 65 years. How old is Gurpreet?
  5. 5.Solve: m/2 + 16 = 22. What is m?
  6. 6.Solve: 9p − 5 = 40. What is p?
  7. 7.Solve: 9x + 8 = 35. What is x?
  8. 8.Solve: 6(p + 5) = 36. What is p?
  9. 9.Lakshmi thinks of a number, multiplies it by 9 and then adds 23. The result is 41. What is the number?
  10. 10.Solve: y/2 + 4 = 11. What is y?
  11. 11.Solve: 5t − 11 = 14. What is t?
  12. 12.Solve: 3(n + 1) = 15. What is n?
  13. 13.Farhan thinks of a number, multiplies it by 2 and then adds 25. The result is 33. What is the number?
  14. 14.Solve: x/7 + 8 = 21. What is x?
  15. 15.Solve: 3t + 5 = 8. What is t?
  16. 16.Kabir thinks of a number, multiplies it by 5 and then adds 27. The result is 82. What is the number?
  17. 17.Solve: y/7 + 5 = 7. What is y?
  18. 18.Vivaan’s mother is three times as old as Vivaan. Their ages add up to 40 years. How old is Vivaan?
  19. 19.Solve: 5m + 24 = 34. What is m?
  20. 20.Solve: 8p + 20 = 100. What is p?
  21. 21.Pooja thinks of a number, multiplies it by 3 and then adds 12. The result is 30. What is the number?
  22. 22.Solve: 3t − 24 = 9. What is t?
  23. 23.Solve: 8x − 7 = 25. What is x?
  24. 24.Solve: 2p − 2 = 4. What is p?
  25. 25.Meera is 2 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  26. 26.Solve: 4m + 20 = 32. What is m?
  27. 27.Kabir thinks of a number, multiplies it by 9 and then adds 8. The result is 26. What is the number?
  28. 28.Solve: 2p + 2 = 22. What is p?
  29. 29.Solve: 8y + 26 = 122. What is y?
  30. 30.Kabir thinks of a number, multiplies it by 8 and then adds 13. The result is 37. What is the number?
  31. 31.Solve: 7y + 16 = 23. What is y?
  32. 32.Solve: 3(n + 3) = 51. What is n?
  33. 33.Solve: 2m − 4 = 6. What is m?
  34. 34.Isha is 5 years older than a cousin. Their ages add up to 33 years. How old is the cousin?
  35. 35.Solve: t/8 + 3 = 18. What is t?
  36. 36.Solve: 7t + 13 = 41. What is t?
  37. 37.Manav is 2 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  38. 38.Solve: 6m − 74 = 16. What is m?
  39. 39.Riya’s mother is four times as old as Riya. Their ages add up to 55 years. How old is Riya?
  40. 40.Solve: x/7 + 1 = 6. What is x?

Answer key

  1. 1
  2. 14
  3. 6
  4. 13
  5. 12
  6. 5
  7. 3
  8. 1
  9. 2
  10. 14
  11. 5
  12. 4
  13. 4
  14. 91
  15. 1
  16. 11
  17. 14
  18. 10
  19. 2
  20. 10
  21. 6
  22. 11
  23. 4
  24. 3
  25. 6
  26. 3
  27. 2
  28. 10
  29. 12
  30. 3
  31. 1
  32. 14
  33. 5
  34. 14
  35. 120
  36. 4
  37. 6
  38. 15
  39. 11
  40. 35

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