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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 479 · 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.Saanvi thinks of a number, multiplies it by 2 and then adds 22. The result is 28. What is the number?
  2. 2.Riya thinks of a number, multiplies it by 2 and then adds 14. The result is 32. What is the number?
  3. 3.Pooja thinks of a number, multiplies it by 3 and then adds 6. The result is 30. What is the number?
  4. 4.Saanvi is 7 years older than a cousin. Their ages add up to 33 years. How old is the cousin?
  5. 5.Solve: 2m + 17 = 21. What is m?
  6. 6.Solve: 4m + 19 = 43. What is m?
  7. 7.Solve: 9(m + 4) = 63. What is m?
  8. 8.Manav thinks of a number, multiplies it by 2 and then adds 15. The result is 25. What is the number?
  9. 9.Rohan thinks of a number, multiplies it by 7 and then adds 17. The result is 66. What is the number?
  10. 10.Solve: 4y − 11 = 5. What is y?
  11. 11.Joseph’s mother is twice as old as Joseph. Their ages add up to 36 years. How old is Joseph?
  12. 12.Solve: 2(n + 2) = 10. What is n?
  13. 13.Solve: 6x + 1 = 85. What is x?
  14. 14.Gurpreet thinks of a number, multiplies it by 5 and then adds 27. The result is 62. What is the number?
  15. 15.Solve: 8y − 50 = 22. What is y?
  16. 16.Solve: 7x + 20 = 97. What is x?
  17. 17.Solve: 2y + 22 = 30. What is y?
  18. 18.Solve: 3t + 13 = 25. What is t?
  19. 19.Solve: 5n + 20 = 30. What is n?
  20. 20.Solve: 7p − 70 = 14. What is p?
  21. 21.Kabir thinks of a number, multiplies it by 2 and then adds 24. The result is 52. What is the number?
  22. 22.Vivaan is 2 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  23. 23.Ishaan is 3 years older than a cousin. Their ages add up to 33 years. How old is the cousin?
  24. 24.Aarav thinks of a number, multiplies it by 5 and then adds 30. The result is 85. What is the number?
  25. 25.Riya’s mother is twice as old as Riya. Their ages add up to 18 years. How old is Riya?
  26. 26.Solve: 3y − 4 = 2. What is y?
  27. 27.Solve: m/3 + 7 = 21. What is m?
  28. 28.Solve: 2y + 5 = 25. What is y?
  29. 29.Solve: 7p + 1 = 15. What is p?
  30. 30.Arjun thinks of a number, multiplies it by 8 and then adds 13. The result is 117. What is the number?
  31. 31.Meera is 1 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  32. 32.Solve: 4m − 2 = 26. What is m?
  33. 33.Rahul thinks of a number, multiplies it by 9 and then adds 23. The result is 68. What is the number?
  34. 34.Solve: m/8 + 4 = 8. What is m?
  35. 35.Nisha is 1 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  36. 36.Solve: 6n + 21 = 75. What is n?
  37. 37.Solve: 6(t + 6) = 78. What is t?
  38. 38.Rahul’s mother is four times as old as Rahul. Their ages add up to 75 years. How old is Rahul?
  39. 39.Kabir’s mother is twice as old as Kabir. Their ages add up to 42 years. How old is Kabir?
  40. 40.Solve: 9t − 41 = 4. What is t?

Answer key

  1. 3
  2. 9
  3. 8
  4. 13
  5. 2
  6. 6
  7. 3
  8. 5
  9. 7
  10. 4
  11. 12
  12. 3
  13. 14
  14. 7
  15. 9
  16. 11
  17. 4
  18. 4
  19. 2
  20. 12
  21. 14
  22. 6
  23. 15
  24. 11
  25. 6
  26. 2
  27. 42
  28. 10
  29. 2
  30. 13
  31. 12
  32. 7
  33. 5
  34. 32
  35. 8
  36. 9
  37. 7
  38. 15
  39. 14
  40. 5

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