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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 402 · 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: 7x + 18 = 109. What is x?
  2. 2.Solve: 7p + 20 = 34. What is p?
  3. 3.Solve: 5(x + 4) = 30. What is x?
  4. 4.Solve: 2p − 13 = 13. What is p?
  5. 5.Isha is 3 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  6. 6.Isha thinks of a number, multiplies it by 4 and then adds 21. The result is 25. What is the number?
  7. 7.Pooja thinks of a number, multiplies it by 4 and then adds 25. The result is 73. What is the number?
  8. 8.Solve: 9(t + 7) = 162. What is t?
  9. 9.Kabir is 4 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  10. 10.Kabir thinks of a number, multiplies it by 3 and then adds 30. The result is 57. What is the number?
  11. 11.Solve: 3m − 16 = 20. What is m?
  12. 12.Solve: t/5 + 3 = 17. What is t?
  13. 13.Solve: p/5 + 2 = 11. What is p?
  14. 14.Solve: 3n − 4 = 11. What is n?
  15. 15.Riya thinks of a number, multiplies it by 4 and then adds 26. The result is 86. What is the number?
  16. 16.Solve: 3(n + 3) = 24. What is n?
  17. 17.Solve: t/5 + 16 = 30. What is t?
  18. 18.Dev’s mother is four times as old as Dev. Their ages add up to 45 years. How old is Dev?
  19. 19.Lakshmi thinks of a number, multiplies it by 4 and then adds 15. The result is 63. What is the number?
  20. 20.Solve: 2n + 21 = 29. What is n?
  21. 21.Riya’s mother is three times as old as Riya. Their ages add up to 60 years. How old is Riya?
  22. 22.Aditya thinks of a number, multiplies it by 8 and then adds 25. The result is 33. What is the number?
  23. 23.Karan is 4 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  24. 24.Solve: 3t − 3 = 30. What is t?
  25. 25.Solve: 6(y + 2) = 72. What is y?
  26. 26.Solve: y/3 + 1 = 11. What is y?
  27. 27.Rohan thinks of a number, multiplies it by 2 and then adds 6. The result is 14. What is the number?
  28. 28.Karan is 3 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  29. 29.Joseph thinks of a number, multiplies it by 6 and then adds 3. The result is 93. What is the number?
  30. 30.Riya thinks of a number, multiplies it by 7 and then adds 5. The result is 89. What is the number?
  31. 31.Rohan’s mother is twice as old as Rohan. Their ages add up to 12 years. How old is Rohan?
  32. 32.Solve: 9(x + 9) = 198. What is x?
  33. 33.Gurpreet’s mother is three times as old as Gurpreet. Their ages add up to 56 years. How old is Gurpreet?
  34. 34.Ishaan thinks of a number, multiplies it by 7 and then adds 2. The result is 9. What is the number?
  35. 35.Solve: 3y − 2 = 4. What is y?
  36. 36.Solve: y/6 + 16 = 22. What is y?
  37. 37.Solve: 2p − 2 = 26. What is p?
  38. 38.Solve: x/4 + 5 = 11. What is x?
  39. 39.Saanvi is 8 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  40. 40.Solve: 8p + 27 = 43. What is p?

Answer key

  1. 13
  2. 2
  3. 2
  4. 13
  5. 7
  6. 1
  7. 12
  8. 11
  9. 12
  10. 9
  11. 12
  12. 70
  13. 45
  14. 5
  15. 15
  16. 5
  17. 70
  18. 9
  19. 12
  20. 4
  21. 15
  22. 1
  23. 12
  24. 11
  25. 10
  26. 30
  27. 4
  28. 8
  29. 15
  30. 12
  31. 4
  32. 13
  33. 14
  34. 1
  35. 2
  36. 36
  37. 14
  38. 24
  39. 11
  40. 2

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