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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 168 · 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: 7p + 25 = 123. What is p?
  2. 2.Tara’s mother is three times as old as Tara. Their ages add up to 48 years. How old is Tara?
  3. 3.Solve: 9p − 26 = 73. What is p?
  4. 4.Solve: 2(x + 8) = 24. What is x?
  5. 5.Solve: 4n + 24 = 56. What is n?
  6. 6.Solve: 2t − 16 = 12. What is t?
  7. 7.Riya’s mother is three times as old as Riya. Their ages add up to 20 years. How old is Riya?
  8. 8.Solve: p/3 + 10 = 18. What is p?
  9. 9.Solve: 2(p + 9) = 24. What is p?
  10. 10.Solve: 2m + 3 = 9. What is m?
  11. 11.Solve: 7p + 27 = 111. What is p?
  12. 12.Solve: 3y + 2 = 32. What is y?
  13. 13.Solve: 4(p + 1) = 52. What is p?
  14. 14.Solve: 4p − 1 = 3. What is p?
  15. 15.Ananya’s mother is three times as old as Ananya. Their ages add up to 40 years. How old is Ananya?
  16. 16.Solve: 7y − 35 = 63. What is y?
  17. 17.Solve: 9t − 49 = 14. What is t?
  18. 18.Priya is 8 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  19. 19.Rohan thinks of a number, multiplies it by 9 and then adds 6. The result is 141. What is the number?
  20. 20.Joseph is 3 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
  21. 21.Rohan’s mother is twice as old as Rohan. Their ages add up to 12 years. How old is Rohan?
  22. 22.Solve: n/5 + 14 = 17. What is n?
  23. 23.Karan is 1 years older than a cousin. Their ages add up to 9 years. How old is the cousin?
  24. 24.Solve: 9(m + 9) = 180. What is m?
  25. 25.Pooja is 3 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  26. 26.Solve: 9(x + 8) = 126. What is x?
  27. 27.Solve: 9x − 15 = 21. What is x?
  28. 28.Ananya thinks of a number, multiplies it by 7 and then adds 4. The result is 74. What is the number?
  29. 29.Solve: 6x + 13 = 25. What is x?
  30. 30.Solve: 7p − 64 = 34. What is p?
  31. 31.Solve: t/2 + 5 = 6. What is t?
  32. 32.Solve: 6(y + 2) = 24. What is y?
  33. 33.Aarav thinks of a number, multiplies it by 2 and then adds 18. The result is 26. What is the number?
  34. 34.Solve: 9p + 10 = 28. What is p?
  35. 35.Solve: 5m − 36 = 34. What is m?
  36. 36.Karan’s mother is twice as old as Karan. Their ages add up to 12 years. How old is Karan?
  37. 37.Solve: 8(t + 8) = 120. What is t?
  38. 38.Solve: 2(x + 2) = 24. What is x?
  39. 39.Solve: 3x + 2 = 8. What is x?
  40. 40.Solve: 5(t + 4) = 65. What is t?

Answer key

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

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