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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 844 · 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: 2y − 27 = 1. What is y?
  2. 2.Solve: 2(m + 6) = 38. What is m?
  3. 3.Arjun thinks of a number, multiplies it by 5 and then adds 8. The result is 73. What is the number?
  4. 4.Solve: 9x − 9 = 27. What is x?
  5. 5.Solve: 9m + 7 = 16. What is m?
  6. 6.Solve: 6(y + 6) = 126. What is y?
  7. 7.Vivaan thinks of a number, multiplies it by 4 and then adds 25. The result is 33. What is the number?
  8. 8.Dev is 5 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  9. 9.Solve: p/8 + 10 = 16. What is p?
  10. 10.Solve: 5(n + 4) = 70. What is n?
  11. 11.Vivaan is 7 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  12. 12.Solve: 9(p + 4) = 99. What is p?
  13. 13.Solve: 4p + 4 = 24. What is p?
  14. 14.Solve: x/3 + 13 = 18. What is x?
  15. 15.Arjun thinks of a number, multiplies it by 4 and then adds 2. The result is 14. What is the number?
  16. 16.Solve: 6(t + 2) = 96. What is t?
  17. 17.Solve: n/6 + 4 = 14. What is n?
  18. 18.Ananya thinks of a number, multiplies it by 2 and then adds 6. The result is 16. What is the number?
  19. 19.Solve: n/3 + 18 = 27. What is n?
  20. 20.Tara’s mother is four times as old as Tara. Their ages add up to 70 years. How old is Tara?
  21. 21.Solve: 3t + 4 = 28. What is t?
  22. 22.Solve: 4x + 13 = 45. What is x?
  23. 23.Solve: 9(m + 7) = 162. What is m?
  24. 24.Solve: 9p − 47 = 34. What is p?
  25. 25.Solve: 6n + 3 = 45. What is n?
  26. 26.Solve: 4x − 15 = 1. What is x?
  27. 27.Kabir’s mother is three times as old as Kabir. Their ages add up to 24 years. How old is Kabir?
  28. 28.Solve: 9(x + 8) = 135. What is x?
  29. 29.Solve: t/3 + 13 = 21. What is t?
  30. 30.Solve: p/2 + 6 = 14. What is p?
  31. 31.Pooja thinks of a number, multiplies it by 8 and then adds 3. The result is 27. What is the number?
  32. 32.Solve: n/6 + 4 = 10. What is n?
  33. 33.Pooja is 2 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  34. 34.Ishaan thinks of a number, multiplies it by 6 and then adds 5. The result is 47. What is the number?
  35. 35.Farhan is 1 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  36. 36.Solve: 3n + 19 = 46. What is n?
  37. 37.Solve: 4(t + 4) = 28. What is t?
  38. 38.Solve: 9p + 10 = 28. What is p?
  39. 39.Zoya is 6 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  40. 40.Solve: 5(x + 5) = 30. What is x?

Answer key

  1. 14
  2. 13
  3. 13
  4. 4
  5. 1
  6. 15
  7. 2
  8. 8
  9. 48
  10. 10
  11. 5
  12. 7
  13. 5
  14. 15
  15. 3
  16. 14
  17. 60
  18. 5
  19. 27
  20. 14
  21. 8
  22. 8
  23. 11
  24. 9
  25. 7
  26. 4
  27. 6
  28. 7
  29. 24
  30. 16
  31. 3
  32. 36
  33. 6
  34. 7
  35. 15
  36. 9
  37. 3
  38. 2
  39. 5
  40. 1

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