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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 451 · 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: 6x + 9 = 27. What is x?
  2. 2.Solve: 4t + 18 = 26. What is t?
  3. 3.Diya’s mother is three times as old as Diya. Their ages add up to 28 years. How old is Diya?
  4. 4.Solve: 8(m + 1) = 24. What is m?
  5. 5.Lakshmi is 2 years older than a cousin. Their ages add up to 10 years. How old is the cousin?
  6. 6.Solve: m/3 + 15 = 25. What is m?
  7. 7.Solve: 6y − 3 = 81. What is y?
  8. 8.Solve: x/4 + 6 = 20. What is x?
  9. 9.Arjun’s mother is twice as old as Arjun. Their ages add up to 36 years. How old is Arjun?
  10. 10.Solve: 6(n + 2) = 66. What is n?
  11. 11.Solve: 4t − 30 = 6. What is t?
  12. 12.Isha is 2 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  13. 13.Solve: 8y + 23 = 31. What is y?
  14. 14.Solve: 9(m + 1) = 18. What is m?
  15. 15.Solve: 5(m + 7) = 85. What is m?
  16. 16.Solve: p/7 + 3 = 8. What is p?
  17. 17.Solve: 7y + 27 = 83. What is y?
  18. 18.Solve: y/9 + 7 = 9. What is y?
  19. 19.Solve: p/4 + 19 = 24. What is p?
  20. 20.Vivaan is 2 years older than a cousin. Their ages add up to 10 years. How old is the cousin?
  21. 21.Solve: 2(p + 1) = 14. What is p?
  22. 22.Solve: 4t − 5 = 39. What is t?
  23. 23.Ananya thinks of a number, multiplies it by 9 and then adds 7. The result is 88. What is the number?
  24. 24.Solve: 2y − 4 = 12. What is y?
  25. 25.Solve: 6n + 23 = 29. What is n?
  26. 26.Saanvi is 1 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  27. 27.Priya is 8 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  28. 28.Priya thinks of a number, multiplies it by 5 and then adds 9. The result is 74. What is the number?
  29. 29.Solve: 4(n + 3) = 28. What is n?
  30. 30.Diya is 2 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  31. 31.Solve: 2(t + 3) = 12. What is t?
  32. 32.Dev thinks of a number, multiplies it by 8 and then adds 24. The result is 56. What is the number?
  33. 33.Solve: 4(m + 1) = 60. What is m?
  34. 34.Arjun’s mother is twice as old as Arjun. Their ages add up to 18 years. How old is Arjun?
  35. 35.Aditya is 7 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  36. 36.Tara thinks of a number, multiplies it by 2 and then adds 12. The result is 28. What is the number?
  37. 37.Solve: 7n + 18 = 39. What is n?
  38. 38.Riya thinks of a number, multiplies it by 7 and then adds 27. The result is 34. What is the number?
  39. 39.Solve: 3n + 13 = 49. What is n?
  40. 40.Solve: m/5 + 16 = 27. What is m?

Answer key

  1. 3
  2. 2
  3. 7
  4. 2
  5. 4
  6. 30
  7. 14
  8. 56
  9. 12
  10. 9
  11. 9
  12. 15
  13. 1
  14. 1
  15. 10
  16. 35
  17. 8
  18. 18
  19. 20
  20. 4
  21. 6
  22. 11
  23. 9
  24. 8
  25. 1
  26. 10
  27. 7
  28. 13
  29. 4
  30. 10
  31. 3
  32. 4
  33. 14
  34. 6
  35. 5
  36. 8
  37. 3
  38. 1
  39. 12
  40. 55

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