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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 759 · 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: 4p − 44 = 12. What is p?
  2. 2.Solve: 4(x + 1) = 40. What is x?
  3. 3.Aarav is 6 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  4. 4.Rohan thinks of a number, multiplies it by 9 and then adds 2. The result is 137. What is the number?
  5. 5.Solve: t/2 + 4 = 9. What is t?
  6. 6.Kabir thinks of a number, multiplies it by 4 and then adds 5. The result is 45. What is the number?
  7. 7.Solve: 3(m + 2) = 36. What is m?
  8. 8.Solve: 8(t + 9) = 152. What is t?
  9. 9.Solve: 3x − 20 = 4. What is x?
  10. 10.Solve: 5n + 16 = 41. What is n?
  11. 11.Solve: n/3 + 7 = 21. What is n?
  12. 12.Farhan’s mother is twice as old as Farhan. Their ages add up to 24 years. How old is Farhan?
  13. 13.Manav thinks of a number, multiplies it by 2 and then adds 5. The result is 23. What is the number?
  14. 14.Solve: 3(x + 3) = 54. What is x?
  15. 15.Riya is 6 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  16. 16.Solve: 8(t + 7) = 96. What is t?
  17. 17.Solve: 7t + 24 = 45. What is t?
  18. 18.Solve: 3m + 28 = 43. What is m?
  19. 19.Solve: 7(t + 9) = 91. What is t?
  20. 20.Solve: 4t + 6 = 38. What is t?
  21. 21.Rahul is 7 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  22. 22.Solve: 7(m + 1) = 21. What is m?
  23. 23.Solve: 3m − 10 = 11. What is m?
  24. 24.Solve: m/4 + 2 = 16. What is m?
  25. 25.Solve: 8y + 26 = 146. What is y?
  26. 26.Solve: 5(p + 3) = 90. What is p?
  27. 27.Solve: p/2 + 10 = 22. What is p?
  28. 28.Rahul is 3 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  29. 29.Solve: 4t + 8 = 56. What is t?
  30. 30.Solve: 8(t + 7) = 88. What is t?
  31. 31.Rohan’s mother is four times as old as Rohan. Their ages add up to 50 years. How old is Rohan?
  32. 32.Meera is 8 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  33. 33.Solve: p/6 + 7 = 17. What is p?
  34. 34.Tara thinks of a number, multiplies it by 2 and then adds 20. The result is 30. What is the number?
  35. 35.Sneha thinks of a number, multiplies it by 4 and then adds 25. The result is 29. What is the number?
  36. 36.Solve: 3x − 12 = 3. What is x?
  37. 37.Solve: x/4 + 19 = 20. What is x?
  38. 38.Solve: 5y + 13 = 83. What is y?
  39. 39.Solve: p/3 + 3 = 8. What is p?
  40. 40.Solve: 6m + 4 = 22. What is m?

Answer key

  1. 14
  2. 9
  3. 7
  4. 15
  5. 10
  6. 10
  7. 10
  8. 10
  9. 8
  10. 5
  11. 42
  12. 8
  13. 9
  14. 15
  15. 9
  16. 5
  17. 3
  18. 5
  19. 4
  20. 8
  21. 7
  22. 2
  23. 7
  24. 56
  25. 15
  26. 15
  27. 24
  28. 13
  29. 12
  30. 4
  31. 10
  32. 11
  33. 60
  34. 5
  35. 1
  36. 5
  37. 4
  38. 14
  39. 15
  40. 3

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