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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 739 · 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.Arjun thinks of a number, multiplies it by 7 and then adds 19. The result is 54. What is the number?
  2. 2.Solve: 6x + 28 = 118. What is x?
  3. 3.Rohan is 8 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  4. 4.Arjun thinks of a number, multiplies it by 5 and then adds 11. The result is 16. What is the number?
  5. 5.Nisha thinks of a number, multiplies it by 4 and then adds 24. The result is 36. What is the number?
  6. 6.Solve: y/4 + 13 = 19. What is y?
  7. 7.Solve: 8m + 29 = 117. What is m?
  8. 8.Solve: 9n − 2 = 25. What is n?
  9. 9.Tara’s mother is three times as old as Tara. Their ages add up to 36 years. How old is Tara?
  10. 10.Solve: p/9 + 9 = 20. What is p?
  11. 11.Solve: 6(p + 5) = 96. What is p?
  12. 12.Solve: m/3 + 17 = 31. What is m?
  13. 13.Solve: 6(y + 3) = 48. What is y?
  14. 14.Solve: 2t − 19 = 7. What is t?
  15. 15.Rohan thinks of a number, multiplies it by 4 and then adds 1. The result is 37. What is the number?
  16. 16.Joseph thinks of a number, multiplies it by 5 and then adds 17. The result is 92. What is the number?
  17. 17.Solve: 4p + 3 = 11. What is p?
  18. 18.Joseph thinks of a number, multiplies it by 6 and then adds 7. The result is 13. What is the number?
  19. 19.Solve: 9(n + 1) = 117. What is n?
  20. 20.Farhan’s mother is three times as old as Farhan. Their ages add up to 48 years. How old is Farhan?
  21. 21.Joseph thinks of a number, multiplies it by 8 and then adds 29. The result is 101. What is the number?
  22. 22.Solve: 7p + 16 = 23. What is p?
  23. 23.Solve: 4(m + 7) = 32. What is m?
  24. 24.Solve: 7(t + 4) = 105. What is t?
  25. 25.Solve: 2(y + 9) = 32. What is y?
  26. 26.Solve: 7m + 18 = 32. What is m?
  27. 27.Solve: 7y + 29 = 120. What is y?
  28. 28.Aarav thinks of a number, multiplies it by 2 and then adds 19. The result is 37. What is the number?
  29. 29.Solve: y/3 + 20 = 23. What is y?
  30. 30.Solve: 3(y + 2) = 48. What is y?
  31. 31.Solve: 3t − 4 = 26. What is t?
  32. 32.Solve: 5m + 8 = 33. What is m?
  33. 33.Solve: 6p + 24 = 48. What is p?
  34. 34.Solve: 3p − 26 = 4. What is p?
  35. 35.Solve: 2y − 5 = 17. What is y?
  36. 36.Kavya’s mother is twice as old as Kavya. Their ages add up to 42 years. How old is Kavya?
  37. 37.Solve: 2(x + 7) = 36. What is x?
  38. 38.Solve: 9n − 16 = 11. What is n?
  39. 39.Priya is 4 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  40. 40.Solve: t/6 + 12 = 18. What is t?

Answer key

  1. 5
  2. 15
  3. 4
  4. 1
  5. 3
  6. 24
  7. 11
  8. 3
  9. 9
  10. 99
  11. 11
  12. 42
  13. 5
  14. 13
  15. 9
  16. 15
  17. 2
  18. 1
  19. 12
  20. 12
  21. 9
  22. 1
  23. 1
  24. 11
  25. 7
  26. 2
  27. 13
  28. 9
  29. 9
  30. 14
  31. 10
  32. 5
  33. 4
  34. 10
  35. 11
  36. 14
  37. 11
  38. 3
  39. 6
  40. 36

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