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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 624 · 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: x/4 + 4 = 5. What is x?
  2. 2.Solve: 6m + 19 = 49. What is m?
  3. 3.Arjun thinks of a number, multiplies it by 9 and then adds 20. The result is 155. What is the number?
  4. 4.Solve: 8x + 7 = 95. What is x?
  5. 5.Solve: 4x + 21 = 49. What is x?
  6. 6.Solve: x/4 + 12 = 20. What is x?
  7. 7.Ishaan is 1 years older than a cousin. Their ages add up to 9 years. How old is the cousin?
  8. 8.Solve: 2t + 3 = 29. What is t?
  9. 9.Tara is 4 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  10. 10.Solve: 4y − 3 = 1. What is y?
  11. 11.Solve: 8(t + 9) = 160. What is t?
  12. 12.Solve: 8(y + 6) = 64. What is y?
  13. 13.Diya is 5 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  14. 14.Priya’s mother is twice as old as Priya. Their ages add up to 21 years. How old is Priya?
  15. 15.Solve: 3(m + 2) = 33. What is m?
  16. 16.Priya thinks of a number, multiplies it by 6 and then adds 10. The result is 70. What is the number?
  17. 17.Lakshmi thinks of a number, multiplies it by 3 and then adds 3. The result is 6. What is the number?
  18. 18.Solve: 3p + 25 = 40. What is p?
  19. 19.Solve: 2x + 12 = 32. What is x?
  20. 20.Solve: 4n + 19 = 27. What is n?
  21. 21.Solve: 8(n + 9) = 160. What is n?
  22. 22.Solve: 3p + 5 = 32. What is p?
  23. 23.Manav is 4 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
  24. 24.Solve: 6t − 15 = 27. What is t?
  25. 25.Rahul thinks of a number, multiplies it by 8 and then adds 15. The result is 39. What is the number?
  26. 26.Solve: 8(x + 4) = 136. What is x?
  27. 27.Solve: 3(x + 2) = 30. What is x?
  28. 28.Solve: 8y − 101 = 3. What is y?
  29. 29.Solve: 5p − 47 = 8. What is p?
  30. 30.Solve: 8m + 28 = 100. What is m?
  31. 31.Solve: y/5 + 6 = 13. What is y?
  32. 32.Riya’s mother is three times as old as Riya. Their ages add up to 40 years. How old is Riya?
  33. 33.Ishaan thinks of a number, multiplies it by 6 and then adds 1. The result is 49. What is the number?
  34. 34.Lakshmi thinks of a number, multiplies it by 9 and then adds 19. The result is 136. What is the number?
  35. 35.Solve: 3x + 13 = 43. What is x?
  36. 36.Solve: 4p − 7 = 25. What is p?
  37. 37.Kabir is 4 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  38. 38.Solve: 9(n + 7) = 126. What is n?
  39. 39.Solve: 3y + 3 = 12. What is y?
  40. 40.Solve: 3p + 3 = 12. What is p?

Answer key

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

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