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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 126 · 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: y/2 + 17 = 32. What is y?
  2. 2.Pooja thinks of a number, multiplies it by 3 and then adds 16. The result is 49. What is the number?
  3. 3.Solve: 8(x + 8) = 120. What is x?
  4. 4.Solve: 7x − 2 = 19. What is x?
  5. 5.Gurpreet is 5 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  6. 6.Riya is 3 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  7. 7.Solve: 2t − 2 = 20. What is t?
  8. 8.Solve: 9(m + 6) = 135. What is m?
  9. 9.Gurpreet is 1 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  10. 10.Solve: 6x + 1 = 31. What is x?
  11. 11.Gurpreet thinks of a number, multiplies it by 2 and then adds 26. The result is 50. What is the number?
  12. 12.Tara’s mother is three times as old as Tara. Their ages add up to 28 years. How old is Tara?
  13. 13.Manav thinks of a number, multiplies it by 4 and then adds 14. The result is 74. What is the number?
  14. 14.Solve: p/3 + 13 = 17. What is p?
  15. 15.Solve: 4y + 27 = 79. What is y?
  16. 16.Priya thinks of a number, multiplies it by 7 and then adds 12. The result is 103. What is the number?
  17. 17.Isha thinks of a number, multiplies it by 8 and then adds 25. The result is 105. What is the number?
  18. 18.Solve: 2p − 15 = 1. What is p?
  19. 19.Solve: p/2 + 13 = 22. What is p?
  20. 20.Solve: 8(p + 5) = 88. What is p?
  21. 21.Solve: 3(n + 4) = 48. What is n?
  22. 22.Solve: 9(t + 7) = 153. What is t?
  23. 23.Kabir thinks of a number, multiplies it by 7 and then adds 25. The result is 88. What is the number?
  24. 24.Solve: 6t + 3 = 21. What is t?
  25. 25.Solve: 3x − 11 = 4. What is x?
  26. 26.Solve: 5(m + 2) = 20. What is m?
  27. 27.Solve: 7x + 17 = 73. What is x?
  28. 28.Solve: x/3 + 1 = 10. What is x?
  29. 29.Karan is 5 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  30. 30.Isha thinks of a number, multiplies it by 4 and then adds 4. The result is 8. What is the number?
  31. 31.Solve: 3m − 4 = 2. What is m?
  32. 32.Solve: 9(x + 9) = 153. What is x?
  33. 33.Rohan is 7 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  34. 34.Solve: x/7 + 10 = 13. What is x?
  35. 35.Solve: 3y − 36 = 9. What is y?
  36. 36.Dev is 2 years older than a cousin. Their ages add up to 10 years. How old is the cousin?
  37. 37.Solve: 8x + 1 = 41. What is x?
  38. 38.Solve: 8(m + 5) = 80. What is m?
  39. 39.Solve: 6p − 8 = 4. What is p?
  40. 40.Solve: 5(p + 1) = 70. What is p?

Answer key

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

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