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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 813 · 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: n/8 + 9 = 21. What is n?
  2. 2.Solve: 3x − 12 = 3. What is x?
  3. 3.Solve: 5t − 10 = 25. What is t?
  4. 4.Solve: 9t − 56 = 70. What is t?
  5. 5.Solve: 4p − 26 = 6. What is p?
  6. 6.Solve: 2y − 1 = 7. What is y?
  7. 7.Riya’s mother is twice as old as Riya. Their ages add up to 27 years. How old is Riya?
  8. 8.Solve: 5m − 4 = 6. What is m?
  9. 9.Diya is 1 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  10. 10.Solve: 2(n + 7) = 36. What is n?
  11. 11.Solve: p/8 + 19 = 22. What is p?
  12. 12.Solve: 6x + 8 = 62. What is x?
  13. 13.Solve: m/8 + 3 = 16. What is m?
  14. 14.Tara is 6 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  15. 15.Solve: 7t + 4 = 32. What is t?
  16. 16.Solve: 7m − 50 = 13. What is m?
  17. 17.Aarav is 1 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  18. 18.Pooja’s mother is four times as old as Pooja. Their ages add up to 40 years. How old is Pooja?
  19. 19.Solve: x/3 + 6 = 17. What is x?
  20. 20.Meera is 8 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  21. 21.Isha’s mother is three times as old as Isha. Their ages add up to 48 years. How old is Isha?
  22. 22.Karan’s mother is four times as old as Karan. Their ages add up to 55 years. How old is Karan?
  23. 23.Solve: 3m + 29 = 38. What is m?
  24. 24.Solve: 9(y + 9) = 171. What is y?
  25. 25.Solve: 4n − 1 = 11. What is n?
  26. 26.Saanvi thinks of a number, multiplies it by 8 and then adds 4. The result is 20. What is the number?
  27. 27.Solve: x/8 + 12 = 14. What is x?
  28. 28.Solve: m/2 + 5 = 15. What is m?
  29. 29.Solve: 5(n + 8) = 115. What is n?
  30. 30.Gurpreet is 8 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  31. 31.Solve: 4p − 26 = 26. What is p?
  32. 32.Solve: 2(p + 5) = 30. What is p?
  33. 33.Solve: 5n − 33 = 12. What is n?
  34. 34.Solve: 3m − 40 = 5. What is m?
  35. 35.Solve: 6(y + 7) = 72. What is y?
  36. 36.Kavya is 4 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  37. 37.Solve: 8n + 2 = 66. What is n?
  38. 38.Solve: 3t − 2 = 25. What is t?
  39. 39.Solve: 8(x + 2) = 40. What is x?
  40. 40.Ishaan thinks of a number, multiplies it by 6 and then adds 2. The result is 38. What is the number?

Answer key

  1. 96
  2. 5
  3. 7
  4. 14
  5. 8
  6. 4
  7. 9
  8. 2
  9. 8
  10. 11
  11. 24
  12. 9
  13. 104
  14. 7
  15. 4
  16. 9
  17. 9
  18. 8
  19. 33
  20. 13
  21. 12
  22. 11
  23. 3
  24. 10
  25. 3
  26. 2
  27. 16
  28. 20
  29. 15
  30. 4
  31. 13
  32. 10
  33. 9
  34. 15
  35. 5
  36. 6
  37. 8
  38. 9
  39. 3
  40. 6

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