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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 328 · 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: 9(x + 9) = 90. What is x?
  2. 2.Solve: 9(y + 3) = 36. What is y?
  3. 3.Solve: p/4 + 11 = 14. What is p?
  4. 4.Solve: 9(m + 6) = 126. What is m?
  5. 5.Solve: x/7 + 12 = 19. What is x?
  6. 6.Kabir thinks of a number, multiplies it by 3 and then adds 24. The result is 54. What is the number?
  7. 7.Solve: 5y + 27 = 92. What is y?
  8. 8.Solve: y/2 + 2 = 9. What is y?
  9. 9.Solve: 8m + 1 = 89. What is m?
  10. 10.Solve: m/4 + 2 = 10. What is m?
  11. 11.Riya is 7 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  12. 12.Solve: 5n − 14 = 41. What is n?
  13. 13.Solve: y/7 + 1 = 11. What is y?
  14. 14.Solve: 3y − 4 = 11. What is y?
  15. 15.Solve: 2(m + 8) = 42. What is m?
  16. 16.Solve: 9(y + 6) = 189. What is y?
  17. 17.Solve: 7n − 7 = 35. What is n?
  18. 18.Solve: 3y + 8 = 26. What is y?
  19. 19.Kabir thinks of a number, multiplies it by 6 and then adds 18. The result is 24. What is the number?
  20. 20.Solve: 9(p + 1) = 36. What is p?
  21. 21.Solve: 2y − 1 = 9. What is y?
  22. 22.Solve: 6(n + 3) = 108. What is n?
  23. 23.Tara’s mother is four times as old as Tara. Their ages add up to 45 years. How old is Tara?
  24. 24.Solve: 2t + 10 = 18. What is t?
  25. 25.Solve: m/5 + 8 = 15. What is m?
  26. 26.Priya is 4 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  27. 27.Solve: p/3 + 1 = 2. What is p?
  28. 28.Solve: 7(x + 5) = 140. What is x?
  29. 29.Solve: 3n − 2 = 1. What is n?
  30. 30.Solve: 8t + 18 = 66. What is t?
  31. 31.Nisha’s mother is twice as old as Nisha. Their ages add up to 36 years. How old is Nisha?
  32. 32.Riya is 2 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  33. 33.Pooja is 4 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  34. 34.Solve: 3t − 1 = 2. What is t?
  35. 35.Rahul thinks of a number, multiplies it by 6 and then adds 30. The result is 66. What is the number?
  36. 36.Solve: 2m + 28 = 36. What is m?
  37. 37.Solve: y/9 + 11 = 23. What is y?
  38. 38.Solve: 4(m + 9) = 56. What is m?
  39. 39.Tara’s mother is twice as old as Tara. Their ages add up to 45 years. How old is Tara?
  40. 40.Manav thinks of a number, multiplies it by 4 and then adds 7. The result is 15. What is the number?

Answer key

  1. 1
  2. 1
  3. 12
  4. 8
  5. 49
  6. 10
  7. 13
  8. 14
  9. 11
  10. 32
  11. 9
  12. 11
  13. 70
  14. 5
  15. 13
  16. 15
  17. 6
  18. 6
  19. 1
  20. 3
  21. 5
  22. 15
  23. 9
  24. 4
  25. 35
  26. 7
  27. 3
  28. 15
  29. 1
  30. 6
  31. 12
  32. 12
  33. 10
  34. 1
  35. 6
  36. 4
  37. 108
  38. 5
  39. 15
  40. 2

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