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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 698 · 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.Saanvi’s mother is four times as old as Saanvi. Their ages add up to 65 years. How old is Saanvi?
  2. 2.Solve: y/5 + 20 = 26. What is y?
  3. 3.Solve: 7y − 13 = 57. What is y?
  4. 4.Solve: 6y − 32 = 4. What is y?
  5. 5.Solve: m/3 + 2 = 13. What is m?
  6. 6.Solve: t/2 + 17 = 31. What is t?
  7. 7.Solve: 6(x + 8) = 96. What is x?
  8. 8.Solve: 6(n + 6) = 72. What is n?
  9. 9.Solve: 7n − 14 = 28. What is n?
  10. 10.Solve: 3(m + 2) = 12. What is m?
  11. 11.Solve: m/4 + 5 = 10. What is m?
  12. 12.Kavya’s mother is twice as old as Kavya. Their ages add up to 39 years. How old is Kavya?
  13. 13.Solve: 7x − 13 = 29. What is x?
  14. 14.Solve: 6(m + 1) = 78. What is m?
  15. 15.Solve: 3x + 12 = 30. What is x?
  16. 16.Solve: 8p + 4 = 116. What is p?
  17. 17.Pooja thinks of a number, multiplies it by 4 and then adds 4. The result is 44. What is the number?
  18. 18.Solve: 6x + 16 = 70. What is x?
  19. 19.Solve: 4(m + 6) = 80. What is m?
  20. 20.Kabir thinks of a number, multiplies it by 2 and then adds 14. The result is 28. What is the number?
  21. 21.Solve: 8m − 9 = 23. What is m?
  22. 22.Meera is 1 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  23. 23.Solve: 4n − 24 = 28. What is n?
  24. 24.Manav is 7 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  25. 25.Solve: m/7 + 1 = 9. What is m?
  26. 26.Solve: 4(n + 2) = 28. What is n?
  27. 27.Solve: 4(n + 8) = 48. What is n?
  28. 28.Solve: m/8 + 1 = 9. What is m?
  29. 29.Solve: 8p + 18 = 26. What is p?
  30. 30.Solve: 4x − 18 = 6. What is x?
  31. 31.Kavya thinks of a number, multiplies it by 2 and then adds 16. The result is 38. What is the number?
  32. 32.Solve: 2x + 6 = 12. What is x?
  33. 33.Vivaan’s mother is four times as old as Vivaan. Their ages add up to 55 years. How old is Vivaan?
  34. 34.Solve: 3(p + 9) = 30. What is p?
  35. 35.Solve: 5(x + 2) = 40. What is x?
  36. 36.Solve: 4t − 22 = 26. What is t?
  37. 37.Manav is 1 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
  38. 38.Solve: x/4 + 5 = 9. What is x?
  39. 39.Solve: x/2 + 16 = 24. What is x?
  40. 40.Solve: y/8 + 5 = 12. What is y?

Answer key

  1. 13
  2. 30
  3. 10
  4. 6
  5. 33
  6. 28
  7. 8
  8. 6
  9. 6
  10. 2
  11. 20
  12. 13
  13. 6
  14. 12
  15. 6
  16. 14
  17. 10
  18. 9
  19. 14
  20. 7
  21. 4
  22. 15
  23. 13
  24. 7
  25. 56
  26. 5
  27. 4
  28. 64
  29. 1
  30. 6
  31. 11
  32. 3
  33. 11
  34. 1
  35. 6
  36. 12
  37. 5
  38. 16
  39. 16
  40. 56

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