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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 262 · 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: 7m − 4 = 24. What is m?
  2. 2.Solve: x/6 + 16 = 30. What is x?
  3. 3.Kabir’s mother is twice as old as Kabir. Their ages add up to 27 years. How old is Kabir?
  4. 4.Rohan thinks of a number, multiplies it by 8 and then adds 17. The result is 73. What is the number?
  5. 5.Solve: y/4 + 19 = 23. What is y?
  6. 6.Solve: 3m + 1 = 7. What is m?
  7. 7.Solve: 4n − 5 = 7. What is n?
  8. 8.Solve: 5(m + 1) = 60. What is m?
  9. 9.Kavya’s mother is twice as old as Kavya. Their ages add up to 33 years. How old is Kavya?
  10. 10.Solve: x/4 + 3 = 7. What is x?
  11. 11.Solve: 2x + 13 = 25. What is x?
  12. 12.Solve: m/7 + 3 = 6. What is m?
  13. 13.Joseph thinks of a number, multiplies it by 4 and then adds 18. The result is 70. What is the number?
  14. 14.Solve: 6y + 18 = 36. What is y?
  15. 15.Tara thinks of a number, multiplies it by 3 and then adds 28. The result is 31. What is the number?
  16. 16.Solve: t/8 + 12 = 27. What is t?
  17. 17.Rohan thinks of a number, multiplies it by 7 and then adds 5. The result is 89. What is the number?
  18. 18.Solve: 8(p + 5) = 160. What is p?
  19. 19.Solve: p/9 + 1 = 9. What is p?
  20. 20.Solve: 3m + 11 = 50. What is m?
  21. 21.Solve: 9m − 17 = 1. What is m?
  22. 22.Solve: 5(x + 1) = 80. What is x?
  23. 23.Joseph’s mother is three times as old as Joseph. Their ages add up to 60 years. How old is Joseph?
  24. 24.Solve: 5n + 1 = 11. What is n?
  25. 25.Solve: 8y + 13 = 93. What is y?
  26. 26.Solve: 5x + 15 = 45. What is x?
  27. 27.Solve: t/2 + 4 = 10. What is t?
  28. 28.Solve: 3y − 4 = 2. What is y?
  29. 29.Solve: 4p − 20 = 16. What is p?
  30. 30.Solve: n/3 + 2 = 10. What is n?
  31. 31.Farhan’s mother is four times as old as Farhan. Their ages add up to 60 years. How old is Farhan?
  32. 32.Ishaan’s mother is three times as old as Ishaan. Their ages add up to 56 years. How old is Ishaan?
  33. 33.Rahul thinks of a number, multiplies it by 9 and then adds 5. The result is 14. What is the number?
  34. 34.Solve: 5p + 1 = 46. What is p?
  35. 35.Solve: 3m − 2 = 4. What is m?
  36. 36.Joseph thinks of a number, multiplies it by 7 and then adds 14. The result is 84. What is the number?
  37. 37.Solve: p/2 + 18 = 23. What is p?
  38. 38.Sneha thinks of a number, multiplies it by 8 and then adds 15. The result is 135. What is the number?
  39. 39.Solve: 7t + 10 = 52. What is t?
  40. 40.Solve: 9t − 2 = 7. What is t?

Answer key

  1. 4
  2. 84
  3. 9
  4. 7
  5. 16
  6. 2
  7. 3
  8. 11
  9. 11
  10. 16
  11. 6
  12. 21
  13. 13
  14. 3
  15. 1
  16. 120
  17. 12
  18. 15
  19. 72
  20. 13
  21. 2
  22. 15
  23. 15
  24. 2
  25. 10
  26. 6
  27. 12
  28. 2
  29. 9
  30. 24
  31. 12
  32. 14
  33. 1
  34. 9
  35. 2
  36. 10
  37. 10
  38. 15
  39. 6
  40. 1

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