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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 559 · 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.Isha is 5 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  2. 2.Ishaan is 2 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  3. 3.Solve: 7(m + 8) = 119. What is m?
  4. 4.Solve: 8n + 10 = 66. What is n?
  5. 5.Solve: 2y − 1 = 23. What is y?
  6. 6.Sneha is 6 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  7. 7.Solve: 4m − 27 = 1. What is m?
  8. 8.Solve: x/9 + 4 = 8. What is x?
  9. 9.Solve: x/2 + 6 = 9. What is x?
  10. 10.Solve: 4x − 2 = 2. What is x?
  11. 11.Solve: 8y − 9 = 7. What is y?
  12. 12.Solve: 6(t + 8) = 84. What is t?
  13. 13.Solve: 3n + 1 = 31. What is n?
  14. 14.Solve: 5(p + 1) = 15. What is p?
  15. 15.Solve: 4y − 2 = 14. What is y?
  16. 16.Solve: 3y + 25 = 58. What is y?
  17. 17.Solve: y/9 + 9 = 15. What is y?
  18. 18.Solve: 5n + 11 = 36. What is n?
  19. 19.Solve: 8n + 8 = 128. What is n?
  20. 20.Solve: 4(t + 7) = 60. What is t?
  21. 21.Solve: t/9 + 7 = 10. What is t?
  22. 22.Solve: 5y − 41 = 34. What is y?
  23. 23.Riya is 3 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  24. 24.Solve: 9m + 20 = 38. What is m?
  25. 25.Solve: 9(y + 5) = 99. What is y?
  26. 26.Solve: 5(x + 5) = 35. What is x?
  27. 27.Aarav’s mother is four times as old as Aarav. Their ages add up to 60 years. How old is Aarav?
  28. 28.Solve: 9m − 8 = 100. What is m?
  29. 29.Solve: 2x − 10 = 6. What is x?
  30. 30.Diya is 2 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  31. 31.Kabir thinks of a number, multiplies it by 8 and then adds 25. The result is 89. What is the number?
  32. 32.Solve: 5(x + 3) = 35. What is x?
  33. 33.Isha’s mother is four times as old as Isha. Their ages add up to 75 years. How old is Isha?
  34. 34.Kabir is 4 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  35. 35.Solve: 7p + 8 = 36. What is p?
  36. 36.Solve: m/8 + 19 = 24. What is m?
  37. 37.Solve: 2p − 10 = 4. What is p?
  38. 38.Joseph thinks of a number, multiplies it by 8 and then adds 1. The result is 113. What is the number?
  39. 39.Lakshmi thinks of a number, multiplies it by 9 and then adds 29. The result is 110. What is the number?
  40. 40.Solve: m/8 + 1 = 3. What is m?

Answer key

  1. 7
  2. 14
  3. 9
  4. 7
  5. 12
  6. 10
  7. 7
  8. 36
  9. 6
  10. 1
  11. 2
  12. 6
  13. 10
  14. 2
  15. 4
  16. 11
  17. 54
  18. 5
  19. 15
  20. 8
  21. 27
  22. 15
  23. 9
  24. 2
  25. 6
  26. 2
  27. 12
  28. 12
  29. 8
  30. 14
  31. 8
  32. 4
  33. 15
  34. 7
  35. 4
  36. 40
  37. 7
  38. 14
  39. 9
  40. 16

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