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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 525 · 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: 2(m + 5) = 14. What is m?
  2. 2.Rahul thinks of a number, multiplies it by 5 and then adds 12. The result is 17. What is the number?
  3. 3.Solve: 2(m + 8) = 46. What is m?
  4. 4.Solve: p/7 + 11 = 14. What is p?
  5. 5.Solve: p/4 + 16 = 21. What is p?
  6. 6.Solve: 8(n + 1) = 16. What is n?
  7. 7.Tara thinks of a number, multiplies it by 4 and then adds 30. The result is 58. What is the number?
  8. 8.Kabir is 1 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  9. 9.Aarav thinks of a number, multiplies it by 9 and then adds 20. The result is 29. What is the number?
  10. 10.Solve: 7x + 29 = 120. What is x?
  11. 11.Meera thinks of a number, multiplies it by 2 and then adds 2. The result is 22. What is the number?
  12. 12.Solve: 4(p + 6) = 52. What is p?
  13. 13.Solve: 4x − 1 = 7. What is x?
  14. 14.Solve: 2x − 9 = 11. What is x?
  15. 15.Solve: 4(x + 7) = 72. What is x?
  16. 16.Solve: n/3 + 6 = 10. What is n?
  17. 17.Solve: 3n − 1 = 11. What is n?
  18. 18.Solve: 2(t + 8) = 22. What is t?
  19. 19.Solve: 8y − 5 = 19. What is y?
  20. 20.Meera is 8 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  21. 21.Sneha thinks of a number, multiplies it by 7 and then adds 21. The result is 56. What is the number?
  22. 22.Solve: 6x + 9 = 75. What is x?
  23. 23.Solve: x/5 + 14 = 27. What is x?
  24. 24.Solve: 3(n + 3) = 27. What is n?
  25. 25.Solve: 2x − 2 = 20. What is x?
  26. 26.Solve: 7y + 19 = 26. What is y?
  27. 27.Priya thinks of a number, multiplies it by 8 and then adds 15. The result is 103. What is the number?
  28. 28.Solve: 4(m + 7) = 76. What is m?
  29. 29.Arjun is 7 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  30. 30.Solve: 5y + 21 = 71. What is y?
  31. 31.Solve: 4(n + 4) = 20. What is n?
  32. 32.Solve: 9p − 15 = 12. What is p?
  33. 33.Dev is 1 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  34. 34.Solve: 5y − 43 = 22. What is y?
  35. 35.Solve: p/2 + 14 = 15. What is p?
  36. 36.Karan thinks of a number, multiplies it by 2 and then adds 4. The result is 32. What is the number?
  37. 37.Karan is 7 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  38. 38.Solve: 2t − 1 = 1. What is t?
  39. 39.Solve: t/9 + 18 = 19. What is t?
  40. 40.Solve: 5(p + 3) = 80. What is p?

Answer key

  1. 2
  2. 1
  3. 15
  4. 21
  5. 20
  6. 1
  7. 7
  8. 6
  9. 1
  10. 13
  11. 10
  12. 7
  13. 2
  14. 10
  15. 11
  16. 12
  17. 4
  18. 3
  19. 3
  20. 4
  21. 5
  22. 11
  23. 65
  24. 6
  25. 11
  26. 1
  27. 11
  28. 12
  29. 4
  30. 10
  31. 1
  32. 3
  33. 6
  34. 13
  35. 2
  36. 14
  37. 10
  38. 1
  39. 9
  40. 13

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