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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 477 · 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: 5(x + 1) = 20. What is x?
  2. 2.Solve: 3n − 1 = 5. What is n?
  3. 3.Solve: y/2 + 18 = 28. What is y?
  4. 4.Saanvi thinks of a number, multiplies it by 4 and then adds 29. The result is 45. What is the number?
  5. 5.Solve: m/6 + 8 = 15. What is m?
  6. 6.Solve: x/3 + 5 = 20. What is x?
  7. 7.Saanvi’s mother is three times as old as Saanvi. Their ages add up to 20 years. How old is Saanvi?
  8. 8.Solve: 2x + 10 = 14. What is x?
  9. 9.Solve: 6t − 66 = 12. What is t?
  10. 10.Solve: m/3 + 14 = 23. What is m?
  11. 11.Solve: 5y − 5 = 5. What is y?
  12. 12.Dev is 8 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  13. 13.Kabir is 4 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  14. 14.Solve: 2n − 7 = 19. What is n?
  15. 15.Arjun is 3 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  16. 16.Solve: 8(x + 5) = 128. What is x?
  17. 17.Ishaan’s mother is four times as old as Ishaan. Their ages add up to 70 years. How old is Ishaan?
  18. 18.Isha’s mother is twice as old as Isha. Their ages add up to 36 years. How old is Isha?
  19. 19.Solve: 3y + 8 = 14. What is y?
  20. 20.Solve: 8(m + 4) = 120. What is m?
  21. 21.Vivaan thinks of a number, multiplies it by 9 and then adds 16. The result is 124. What is the number?
  22. 22.Solve: 5(n + 1) = 65. What is n?
  23. 23.Diya’s mother is three times as old as Diya. Their ages add up to 52 years. How old is Diya?
  24. 24.Solve: x/8 + 3 = 5. What is x?
  25. 25.Solve: x/2 + 17 = 32. What is x?
  26. 26.Solve: p/7 + 8 = 21. What is p?
  27. 27.Solve: 3(y + 8) = 45. What is y?
  28. 28.Solve: 7(n + 1) = 56. What is n?
  29. 29.Solve: 8x − 31 = 89. What is x?
  30. 30.Solve: 2x − 7 = 9. What is x?
  31. 31.Solve: 4(x + 3) = 48. What is x?
  32. 32.Tara thinks of a number, multiplies it by 8 and then adds 4. The result is 116. What is the number?
  33. 33.Solve: 3n + 18 = 33. What is n?
  34. 34.Solve: 5(n + 5) = 95. What is n?
  35. 35.Solve: 4x + 27 = 55. What is x?
  36. 36.Solve: t/9 + 20 = 23. What is t?
  37. 37.Solve: 3(p + 3) = 15. What is p?
  38. 38.Zoya thinks of a number, multiplies it by 6 and then adds 5. The result is 17. What is the number?
  39. 39.Priya’s mother is four times as old as Priya. Their ages add up to 70 years. How old is Priya?
  40. 40.Solve: 7(y + 9) = 140. What is y?

Answer key

  1. 3
  2. 2
  3. 20
  4. 4
  5. 42
  6. 45
  7. 5
  8. 2
  9. 13
  10. 27
  11. 2
  12. 5
  13. 8
  14. 13
  15. 5
  16. 11
  17. 14
  18. 12
  19. 2
  20. 11
  21. 12
  22. 12
  23. 13
  24. 16
  25. 30
  26. 91
  27. 7
  28. 7
  29. 15
  30. 8
  31. 9
  32. 14
  33. 5
  34. 14
  35. 7
  36. 27
  37. 2
  38. 2
  39. 14
  40. 11

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