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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 682 · 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.Gurpreet thinks of a number, multiplies it by 9 and then adds 26. The result is 53. What is the number?
  2. 2.Solve: 6(y + 4) = 96. What is y?
  3. 3.Solve: 3m + 4 = 22. What is m?
  4. 4.Nisha thinks of a number, multiplies it by 2 and then adds 23. The result is 41. What is the number?
  5. 5.Nisha thinks of a number, multiplies it by 6 and then adds 4. The result is 94. What is the number?
  6. 6.Saanvi thinks of a number, multiplies it by 2 and then adds 10. The result is 30. What is the number?
  7. 7.Joseph is 6 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  8. 8.Tara thinks of a number, multiplies it by 2 and then adds 7. The result is 31. What is the number?
  9. 9.Ananya’s mother is twice as old as Ananya. Their ages add up to 39 years. How old is Ananya?
  10. 10.Aarav’s mother is three times as old as Aarav. Their ages add up to 36 years. How old is Aarav?
  11. 11.Dev thinks of a number, multiplies it by 2 and then adds 18. The result is 40. What is the number?
  12. 12.Solve: 8(p + 2) = 112. What is p?
  13. 13.Farhan is 6 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  14. 14.Tara thinks of a number, multiplies it by 2 and then adds 16. The result is 46. What is the number?
  15. 15.Solve: x/2 + 3 = 12. What is x?
  16. 16.Solve: 4m − 4 = 20. What is m?
  17. 17.Diya thinks of a number, multiplies it by 3 and then adds 3. The result is 33. What is the number?
  18. 18.Solve: 7m − 14 = 7. What is m?
  19. 19.Solve: 2m + 2 = 8. What is m?
  20. 20.Solve: 9n + 20 = 137. What is n?
  21. 21.Solve: 8(p + 8) = 88. What is p?
  22. 22.Manav’s mother is four times as old as Manav. Their ages add up to 45 years. How old is Manav?
  23. 23.Solve: 4m + 13 = 53. What is m?
  24. 24.Solve: 7(y + 6) = 98. What is y?
  25. 25.Solve: 3m + 15 = 39. What is m?
  26. 26.Sneha thinks of a number, multiplies it by 7 and then adds 15. The result is 78. What is the number?
  27. 27.Solve: 2n + 14 = 20. What is n?
  28. 28.Solve: y/2 + 12 = 16. What is y?
  29. 29.Solve: 2(m + 3) = 28. What is m?
  30. 30.Solve: 2p − 7 = 1. What is p?
  31. 31.Aditya is 8 years older than a cousin. Their ages add up to 38 years. How old is the cousin?
  32. 32.Solve: 5x − 12 = 8. What is x?
  33. 33.Solve: 9n + 12 = 93. What is n?
  34. 34.Solve: 5(p + 6) = 85. What is p?
  35. 35.Aarav’s mother is three times as old as Aarav. Their ages add up to 52 years. How old is Aarav?
  36. 36.Solve: 5x − 15 = 10. What is x?
  37. 37.Meera thinks of a number, multiplies it by 9 and then adds 21. The result is 111. What is the number?
  38. 38.Solve: 4(p + 3) = 56. What is p?
  39. 39.Solve: 7(p + 1) = 98. What is p?
  40. 40.Solve: 5x − 8 = 12. What is x?

Answer key

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

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