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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 752 · 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: 3y + 3 = 15. What is y?
  2. 2.Solve: 9p − 18 = 9. What is p?
  3. 3.Solve: 8(y + 8) = 168. What is y?
  4. 4.Manav is 4 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
  5. 5.Solve: 3t + 23 = 68. What is t?
  6. 6.Rahul’s mother is three times as old as Rahul. Their ages add up to 48 years. How old is Rahul?
  7. 7.Ishaan is 1 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  8. 8.Solve: 6(n + 9) = 138. What is n?
  9. 9.Solve: 3x + 6 = 18. What is x?
  10. 10.Solve: 9(t + 7) = 126. What is t?
  11. 11.Solve: 3(m + 5) = 51. What is m?
  12. 12.Solve: 4(y + 1) = 24. What is y?
  13. 13.Saanvi thinks of a number, multiplies it by 7 and then adds 8. The result is 85. What is the number?
  14. 14.Dev thinks of a number, multiplies it by 8 and then adds 8. The result is 80. What is the number?
  15. 15.Karan is 2 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  16. 16.Joseph’s mother is four times as old as Joseph. Their ages add up to 65 years. How old is Joseph?
  17. 17.Meera’s mother is twice as old as Meera. Their ages add up to 12 years. How old is Meera?
  18. 18.Solve: 7x − 5 = 2. What is x?
  19. 19.Pooja thinks of a number, multiplies it by 4 and then adds 2. The result is 26. What is the number?
  20. 20.Solve: 7(x + 4) = 63. What is x?
  21. 21.Solve: 2n − 13 = 9. What is n?
  22. 22.Arjun thinks of a number, multiplies it by 6 and then adds 7. The result is 61. What is the number?
  23. 23.Solve: 3t − 13 = 20. What is t?
  24. 24.Solve: 9(m + 5) = 162. What is m?
  25. 25.Sneha thinks of a number, multiplies it by 9 and then adds 3. The result is 93. What is the number?
  26. 26.Rohan thinks of a number, multiplies it by 9 and then adds 10. The result is 37. What is the number?
  27. 27.Ishaan is 1 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  28. 28.Solve: p/8 + 4 = 14. What is p?
  29. 29.Solve: 9(x + 8) = 117. What is x?
  30. 30.Arjun is 5 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  31. 31.Solve: 7t + 17 = 38. What is t?
  32. 32.Rohan is 6 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  33. 33.Rahul is 5 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  34. 34.Solve: 2p − 3 = 1. What is p?
  35. 35.Solve: 3(m + 2) = 45. What is m?
  36. 36.Solve: 4p + 1 = 49. What is p?
  37. 37.Solve: 4m + 30 = 70. What is m?
  38. 38.Manav thinks of a number, multiplies it by 7 and then adds 1. The result is 71. What is the number?
  39. 39.Solve: n/8 + 20 = 25. What is n?
  40. 40.Solve: y/4 + 4 = 13. What is y?

Answer key

  1. 4
  2. 3
  3. 13
  4. 4
  5. 15
  6. 12
  7. 7
  8. 14
  9. 4
  10. 7
  11. 12
  12. 5
  13. 11
  14. 9
  15. 10
  16. 13
  17. 4
  18. 1
  19. 6
  20. 5
  21. 11
  22. 9
  23. 11
  24. 13
  25. 10
  26. 3
  27. 8
  28. 80
  29. 5
  30. 8
  31. 3
  32. 14
  33. 9
  34. 2
  35. 13
  36. 12
  37. 10
  38. 10
  39. 40
  40. 36

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