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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 424 · 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.Priya thinks of a number, multiplies it by 4 and then adds 2. The result is 58. What is the number?
  2. 2.Solve: n/3 + 6 = 7. What is n?
  3. 3.Aarav is 4 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  4. 4.Isha’s mother is twice as old as Isha. Their ages add up to 39 years. How old is Isha?
  5. 5.Vivaan thinks of a number, multiplies it by 7 and then adds 13. The result is 83. What is the number?
  6. 6.Ishaan is 2 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  7. 7.Solve: x/6 + 3 = 6. What is x?
  8. 8.Zoya thinks of a number, multiplies it by 6 and then adds 3. The result is 27. What is the number?
  9. 9.Solve: y/2 + 6 = 16. What is y?
  10. 10.Solve: x/8 + 11 = 23. What is x?
  11. 11.Solve: 4p − 2 = 6. What is p?
  12. 12.Solve: n/8 + 1 = 16. What is n?
  13. 13.Solve: m/6 + 11 = 14. What is m?
  14. 14.Vivaan is 5 years older than a cousin. Their ages add up to 35 years. How old is the cousin?
  15. 15.Solve: 6y − 24 = 60. What is y?
  16. 16.Solve: n/4 + 5 = 15. What is n?
  17. 17.Solve: t/6 + 14 = 19. What is t?
  18. 18.Riya’s mother is four times as old as Riya. Their ages add up to 55 years. How old is Riya?
  19. 19.Solve: 7(n + 4) = 84. What is n?
  20. 20.Solve: y/9 + 19 = 31. What is y?
  21. 21.Aditya thinks of a number, multiplies it by 2 and then adds 25. The result is 29. What is the number?
  22. 22.Solve: 4y + 1 = 25. What is y?
  23. 23.Solve: 7t + 22 = 106. What is t?
  24. 24.Solve: 7(n + 3) = 63. What is n?
  25. 25.Solve: p/2 + 19 = 25. What is p?
  26. 26.Lakshmi’s mother is four times as old as Lakshmi. Their ages add up to 65 years. How old is Lakshmi?
  27. 27.Solve: 3t − 10 = 2. What is t?
  28. 28.Solve: x/4 + 5 = 9. What is x?
  29. 29.Solve: 6y − 40 = 44. What is y?
  30. 30.Solve: 3n + 9 = 24. What is n?
  31. 31.Saanvi thinks of a number, multiplies it by 8 and then adds 29. The result is 141. What is the number?
  32. 32.Solve: y/8 + 12 = 17. What is y?
  33. 33.Joseph thinks of a number, multiplies it by 5 and then adds 8. The result is 33. What is the number?
  34. 34.Solve: m/3 + 3 = 14. What is m?
  35. 35.Saanvi’s mother is twice as old as Saanvi. Their ages add up to 12 years. How old is Saanvi?
  36. 36.Manav’s mother is twice as old as Manav. Their ages add up to 18 years. How old is Manav?
  37. 37.Vivaan is 4 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  38. 38.Solve: 2(m + 5) = 18. What is m?
  39. 39.Joseph is 1 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  40. 40.Solve: x/8 + 16 = 27. What is x?

Answer key

  1. 14
  2. 3
  3. 10
  4. 13
  5. 10
  6. 11
  7. 18
  8. 4
  9. 20
  10. 96
  11. 2
  12. 120
  13. 18
  14. 15
  15. 14
  16. 40
  17. 30
  18. 11
  19. 8
  20. 108
  21. 2
  22. 6
  23. 12
  24. 6
  25. 12
  26. 13
  27. 4
  28. 16
  29. 14
  30. 5
  31. 14
  32. 40
  33. 5
  34. 33
  35. 4
  36. 6
  37. 7
  38. 4
  39. 12
  40. 88

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