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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 814 · 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: 7p − 21 = 28. What is p?
  2. 2.Solve: 7(t + 3) = 126. What is t?
  3. 3.Solve: t/2 + 17 = 25. What is t?
  4. 4.Nisha thinks of a number, multiplies it by 8 and then adds 1. The result is 17. What is the number?
  5. 5.Manav is 1 years older than a cousin. Their ages add up to 9 years. How old is the cousin?
  6. 6.Solve: m/5 + 15 = 20. What is m?
  7. 7.Solve: 2x + 15 = 19. What is x?
  8. 8.Kavya is 7 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  9. 9.Solve: 3y − 10 = 5. What is y?
  10. 10.Ishaan thinks of a number, multiplies it by 7 and then adds 2. The result is 93. What is the number?
  11. 11.Solve: 9x − 67 = 32. What is x?
  12. 12.Solve: 3m − 5 = 4. What is m?
  13. 13.Gurpreet’s mother is three times as old as Gurpreet. Their ages add up to 16 years. How old is Gurpreet?
  14. 14.Rahul is 4 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
  15. 15.Solve: 2n − 21 = 5. What is n?
  16. 16.Solve: 8y + 15 = 71. What is y?
  17. 17.Solve: 2m − 4 = 2. What is m?
  18. 18.Solve: x/8 + 12 = 27. What is x?
  19. 19.Sneha is 5 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  20. 20.Solve: y/9 + 7 = 18. What is y?
  21. 21.Solve: 8p + 2 = 34. What is p?
  22. 22.Solve: 5y − 7 = 33. What is y?
  23. 23.Solve: y/4 + 3 = 4. What is y?
  24. 24.Solve: 5(n + 8) = 115. What is n?
  25. 25.Meera is 6 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  26. 26.Solve: n/4 + 6 = 7. What is n?
  27. 27.Diya thinks of a number, multiplies it by 4 and then adds 22. The result is 70. What is the number?
  28. 28.Solve: 6p − 31 = 5. What is p?
  29. 29.Lakshmi’s mother is four times as old as Lakshmi. Their ages add up to 20 years. How old is Lakshmi?
  30. 30.Solve: 8(m + 3) = 32. What is m?
  31. 31.Solve: 5y − 3 = 2. What is y?
  32. 32.Solve: x/6 + 14 = 15. What is x?
  33. 33.Solve: y/3 + 6 = 10. What is y?
  34. 34.Solve: 2x + 17 = 23. What is x?
  35. 35.Solve: 3t − 1 = 8. What is t?
  36. 36.Riya thinks of a number, multiplies it by 2 and then adds 29. The result is 57. What is the number?
  37. 37.Kavya thinks of a number, multiplies it by 3 and then adds 17. The result is 41. What is the number?
  38. 38.Solve: 2y − 1 = 1. What is y?
  39. 39.Solve: 3t − 38 = 7. What is t?
  40. 40.Vivaan thinks of a number, multiplies it by 3 and then adds 8. The result is 50. What is the number?

Answer key

  1. 7
  2. 15
  3. 16
  4. 2
  5. 4
  6. 25
  7. 2
  8. 6
  9. 5
  10. 13
  11. 11
  12. 3
  13. 4
  14. 4
  15. 13
  16. 7
  17. 3
  18. 120
  19. 11
  20. 99
  21. 4
  22. 8
  23. 4
  24. 15
  25. 5
  26. 4
  27. 12
  28. 6
  29. 4
  30. 1
  31. 1
  32. 6
  33. 12
  34. 3
  35. 3
  36. 14
  37. 8
  38. 1
  39. 15
  40. 14

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