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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 988 · 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: 7(p + 1) = 14. What is p?
  2. 2.Solve: 9x − 6 = 30. What is x?
  3. 3.Solve: 4y − 25 = 3. What is y?
  4. 4.Nisha is 7 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  5. 5.Solve: 6y − 2 = 10. What is y?
  6. 6.Kabir’s mother is four times as old as Kabir. Their ages add up to 55 years. How old is Kabir?
  7. 7.Priya’s mother is four times as old as Priya. Their ages add up to 20 years. How old is Priya?
  8. 8.Isha thinks of a number, multiplies it by 8 and then adds 10. The result is 66. What is the number?
  9. 9.Solve: 3y − 2 = 25. What is y?
  10. 10.Solve: 8m + 23 = 39. What is m?
  11. 11.Kabir thinks of a number, multiplies it by 8 and then adds 29. The result is 101. What is the number?
  12. 12.Solve: 8p + 15 = 127. What is p?
  13. 13.Solve: 6x − 7 = 23. What is x?
  14. 14.Farhan thinks of a number, multiplies it by 3 and then adds 24. The result is 57. What is the number?
  15. 15.Gurpreet is 5 years older than a cousin. Their ages add up to 35 years. How old is the cousin?
  16. 16.Rohan thinks of a number, multiplies it by 6 and then adds 20. The result is 38. What is the number?
  17. 17.Solve: 5y + 21 = 41. What is y?
  18. 18.Solve: 2p + 28 = 52. What is p?
  19. 19.Solve: 9x + 2 = 137. What is x?
  20. 20.Solve: 3(m + 3) = 21. What is m?
  21. 21.Solve: 3(x + 8) = 51. What is x?
  22. 22.Solve: 3p + 2 = 20. What is p?
  23. 23.Solve: 7m + 16 = 65. What is m?
  24. 24.Solve: 3t − 21 = 12. What is t?
  25. 25.Ananya’s mother is twice as old as Ananya. Their ages add up to 24 years. How old is Ananya?
  26. 26.Farhan thinks of a number, multiplies it by 6 and then adds 11. The result is 101. What is the number?
  27. 27.Solve: 7y − 19 = 86. What is y?
  28. 28.Dev thinks of a number, multiplies it by 8 and then adds 6. The result is 14. What is the number?
  29. 29.Isha thinks of a number, multiplies it by 5 and then adds 27. The result is 57. What is the number?
  30. 30.Aarav thinks of a number, multiplies it by 8 and then adds 27. The result is 35. What is the number?
  31. 31.Solve: t/2 + 11 = 18. What is t?
  32. 32.Solve: 3(x + 2) = 42. What is x?
  33. 33.Solve: 5(p + 4) = 95. What is p?
  34. 34.Ishaan’s mother is three times as old as Ishaan. Their ages add up to 56 years. How old is Ishaan?
  35. 35.Solve: 2m − 6 = 4. What is m?
  36. 36.Solve: n/8 + 9 = 23. What is n?
  37. 37.Solve: x/3 + 15 = 28. What is x?
  38. 38.Solve: 2(t + 2) = 22. What is t?
  39. 39.Solve: x/4 + 14 = 19. What is x?
  40. 40.Solve: 5(n + 8) = 60. What is n?

Answer key

  1. 1
  2. 4
  3. 7
  4. 8
  5. 2
  6. 11
  7. 4
  8. 7
  9. 9
  10. 2
  11. 9
  12. 14
  13. 5
  14. 11
  15. 15
  16. 3
  17. 4
  18. 12
  19. 15
  20. 4
  21. 9
  22. 6
  23. 7
  24. 11
  25. 8
  26. 15
  27. 15
  28. 1
  29. 6
  30. 1
  31. 14
  32. 12
  33. 15
  34. 14
  35. 5
  36. 112
  37. 39
  38. 9
  39. 20
  40. 4

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