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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 438 · 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.Rohan thinks of a number, multiplies it by 7 and then adds 21. The result is 42. What is the number?
  2. 2.Solve: 2(x + 4) = 24. What is x?
  3. 3.Solve: n/5 + 5 = 6. What is n?
  4. 4.Karan thinks of a number, multiplies it by 5 and then adds 10. The result is 70. What is the number?
  5. 5.Riya’s mother is four times as old as Riya. Their ages add up to 60 years. How old is Riya?
  6. 6.Lakshmi is 8 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  7. 7.Isha thinks of a number, multiplies it by 7 and then adds 9. The result is 65. What is the number?
  8. 8.Solve: n/3 + 18 = 30. What is n?
  9. 9.Saanvi is 4 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  10. 10.Solve: 9m − 51 = 21. What is m?
  11. 11.Sneha thinks of a number, multiplies it by 4 and then adds 22. The result is 30. What is the number?
  12. 12.Solve: 8x − 75 = 5. What is x?
  13. 13.Solve: 5n + 2 = 27. What is n?
  14. 14.Joseph is 6 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  15. 15.Solve: 8y − 28 = 12. What is y?
  16. 16.Solve: 3(y + 6) = 39. What is y?
  17. 17.Riya is 6 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  18. 18.Solve: 5(x + 1) = 35. What is x?
  19. 19.Solve: 5p + 6 = 41. What is p?
  20. 20.Solve: 4m + 3 = 15. What is m?
  21. 21.Solve: y/8 + 1 = 2. What is y?
  22. 22.Solve: 3x + 16 = 25. What is x?
  23. 23.Kavya thinks of a number, multiplies it by 2 and then adds 30. The result is 36. What is the number?
  24. 24.Solve: 8(y + 3) = 112. What is y?
  25. 25.Solve: 6(t + 1) = 84. What is t?
  26. 26.Solve: 7t + 6 = 41. What is t?
  27. 27.Solve: n/6 + 17 = 20. What is n?
  28. 28.Solve: 9p − 85 = 23. What is p?
  29. 29.Solve: 4n + 9 = 21. What is n?
  30. 30.Solve: 2y + 6 = 12. What is y?
  31. 31.Solve: y/8 + 5 = 7. What is y?
  32. 32.Solve: 9p − 9 = 9. What is p?
  33. 33.Solve: 7p + 27 = 118. What is p?
  34. 34.Solve: 3(p + 8) = 45. What is p?
  35. 35.Solve: 9(p + 9) = 108. What is p?
  36. 36.Solve: 7x + 12 = 89. What is x?
  37. 37.Solve: 4p − 15 = 5. What is p?
  38. 38.Solve: m/6 + 19 = 31. What is m?
  39. 39.Solve: 5n − 3 = 22. What is n?
  40. 40.Solve: 9x − 44 = 46. What is x?

Answer key

  1. 3
  2. 8
  3. 5
  4. 12
  5. 12
  6. 8
  7. 8
  8. 36
  9. 15
  10. 8
  11. 2
  12. 10
  13. 5
  14. 14
  15. 5
  16. 7
  17. 10
  18. 6
  19. 7
  20. 3
  21. 8
  22. 3
  23. 3
  24. 11
  25. 13
  26. 5
  27. 18
  28. 12
  29. 3
  30. 3
  31. 16
  32. 2
  33. 13
  34. 7
  35. 3
  36. 11
  37. 5
  38. 72
  39. 5
  40. 10

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