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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 975 · 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.Priya is 1 years older than a cousin. Their ages add up to 9 years. How old is the cousin?
  2. 2.Solve: 3y − 12 = 18. What is y?
  3. 3.Solve: 9t + 10 = 37. What is t?
  4. 4.Vivaan is 2 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  5. 5.Solve: 7(x + 3) = 91. What is x?
  6. 6.Nisha thinks of a number, multiplies it by 5 and then adds 20. The result is 30. What is the number?
  7. 7.Solve: 4t − 33 = 7. What is t?
  8. 8.Solve: t/2 + 2 = 16. What is t?
  9. 9.Solve: n/9 + 6 = 20. What is n?
  10. 10.Solve: 2t − 16 = 4. What is t?
  11. 11.Pooja thinks of a number, multiplies it by 3 and then adds 13. The result is 16. What is the number?
  12. 12.Solve: 5m − 22 = 33. What is m?
  13. 13.Solve: 7m − 5 = 51. What is m?
  14. 14.Solve: 3(p + 2) = 45. What is p?
  15. 15.Solve: 5n − 2 = 3. What is n?
  16. 16.Solve: 5p − 4 = 26. What is p?
  17. 17.Solve: 4m + 26 = 30. What is m?
  18. 18.Solve: 7(y + 3) = 35. What is y?
  19. 19.Manav thinks of a number, multiplies it by 5 and then adds 5. The result is 60. What is the number?
  20. 20.Solve: 4(n + 6) = 56. What is n?
  21. 21.Solve: 7(p + 1) = 112. What is p?
  22. 22.Solve: 4(x + 2) = 12. What is x?
  23. 23.Solve: n/8 + 10 = 17. What is n?
  24. 24.Solve: 2t + 7 = 17. What is t?
  25. 25.Ananya thinks of a number, multiplies it by 2 and then adds 18. The result is 20. What is the number?
  26. 26.Solve: 2n + 13 = 25. What is n?
  27. 27.Solve: n/2 + 3 = 5. What is n?
  28. 28.Manav is 6 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  29. 29.Gurpreet’s mother is three times as old as Gurpreet. Their ages add up to 32 years. How old is Gurpreet?
  30. 30.Solve: p/3 + 14 = 24. What is p?
  31. 31.Meera thinks of a number, multiplies it by 4 and then adds 2. The result is 10. What is the number?
  32. 32.Aarav is 3 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  33. 33.Solve: x/3 + 11 = 13. What is x?
  34. 34.Solve: y/8 + 11 = 21. What is y?
  35. 35.Rahul thinks of a number, multiplies it by 9 and then adds 8. The result is 89. What is the number?
  36. 36.Kabir’s mother is three times as old as Kabir. Their ages add up to 20 years. How old is Kabir?
  37. 37.Solve: n/8 + 12 = 13. What is n?
  38. 38.Solve: x/9 + 2 = 4. What is x?
  39. 39.Solve: 8(x + 8) = 112. What is x?
  40. 40.Diya thinks of a number, multiplies it by 7 and then adds 4. The result is 46. What is the number?

Answer key

  1. 4
  2. 10
  3. 3
  4. 14
  5. 10
  6. 2
  7. 10
  8. 28
  9. 126
  10. 10
  11. 1
  12. 11
  13. 8
  14. 13
  15. 1
  16. 6
  17. 1
  18. 2
  19. 11
  20. 8
  21. 15
  22. 1
  23. 56
  24. 5
  25. 1
  26. 6
  27. 4
  28. 6
  29. 8
  30. 30
  31. 2
  32. 8
  33. 6
  34. 80
  35. 9
  36. 5
  37. 8
  38. 18
  39. 6
  40. 6

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