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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 863 · 40 sums
TalentJR

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: 9n + 24 = 42. What is n?
  2. 2.Solve: 7t − 23 = 40. What is t?
  3. 3.Solve: m/4 + 9 = 13. What is m?
  4. 4.Solve: 2(y + 6) = 14. What is y?
  5. 5.Solve: 7p − 5 = 2. What is p?
  6. 6.Solve: p/3 + 20 = 30. What is p?
  7. 7.Solve: x/4 + 5 = 19. What is x?
  8. 8.Solve: 5(y + 5) = 70. What is y?
  9. 9.Solve: y/5 + 16 = 17. What is y?
  10. 10.Solve: 2(x + 4) = 18. What is x?
  11. 11.Solve: m/2 + 7 = 14. What is m?
  12. 12.Solve: 9(n + 1) = 117. What is n?
  13. 13.Solve: 3y − 28 = 5. What is y?
  14. 14.Solve: 5(p + 9) = 110. What is p?
  15. 15.Sneha is 2 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  16. 16.Solve: n/3 + 7 = 17. What is n?
  17. 17.Solve: t/9 + 12 = 15. What is t?
  18. 18.Solve: y/7 + 17 = 28. What is y?
  19. 19.Isha’s mother is four times as old as Isha. Their ages add up to 75 years. How old is Isha?
  20. 20.Solve: x/5 + 2 = 10. What is x?
  21. 21.Isha is 2 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  22. 22.Solve: 3p − 9 = 3. What is p?
  23. 23.Solve: 8t − 6 = 98. What is t?
  24. 24.Solve: 6t + 7 = 31. What is t?
  25. 25.Solve: 3x − 12 = 3. What is x?
  26. 26.Diya thinks of a number, multiplies it by 5 and then adds 27. The result is 42. What is the number?
  27. 27.Solve: 5(y + 7) = 75. What is y?
  28. 28.Diya thinks of a number, multiplies it by 4 and then adds 22. The result is 26. What is the number?
  29. 29.Solve: 2y + 10 = 22. What is y?
  30. 30.Solve: 4y + 30 = 54. What is y?
  31. 31.Solve: n/8 + 4 = 16. What is n?
  32. 32.Solve: 5(t + 9) = 95. What is t?
  33. 33.Solve: 5(x + 4) = 40. What is x?
  34. 34.Solve: 4y − 3 = 5. What is y?
  35. 35.Solve: x/7 + 9 = 16. What is x?
  36. 36.Gurpreet’s mother is four times as old as Gurpreet. Their ages add up to 20 years. How old is Gurpreet?
  37. 37.Solve: 2(x + 8) = 36. What is x?
  38. 38.Solve: 6(m + 8) = 120. What is m?
  39. 39.Solve: 8p + 13 = 45. What is p?
  40. 40.Meera is 6 years older than a cousin. Their ages add up to 36 years. How old is the cousin?

Answer key

  1. 2
  2. 9
  3. 16
  4. 1
  5. 1
  6. 30
  7. 56
  8. 9
  9. 5
  10. 5
  11. 14
  12. 12
  13. 11
  14. 13
  15. 6
  16. 30
  17. 27
  18. 77
  19. 15
  20. 40
  21. 7
  22. 4
  23. 13
  24. 4
  25. 5
  26. 3
  27. 8
  28. 1
  29. 6
  30. 6
  31. 96
  32. 10
  33. 4
  34. 2
  35. 49
  36. 4
  37. 10
  38. 12
  39. 4
  40. 15

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