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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 383 · 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: 7p − 76 = 29. What is p?
  2. 2.Pooja thinks of a number, multiplies it by 9 and then adds 15. The result is 150. What is the number?
  3. 3.Solve: 3m − 10 = 32. What is m?
  4. 4.Solve: 9p + 4 = 40. What is p?
  5. 5.Ananya is 1 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  6. 6.Dev’s mother is twice as old as Dev. Their ages add up to 12 years. How old is Dev?
  7. 7.Solve: 6(n + 3) = 54. What is n?
  8. 8.Isha thinks of a number, multiplies it by 9 and then adds 15. The result is 141. What is the number?
  9. 9.Priya thinks of a number, multiplies it by 3 and then adds 4. The result is 19. What is the number?
  10. 10.Manav thinks of a number, multiplies it by 7 and then adds 26. The result is 96. What is the number?
  11. 11.Sneha thinks of a number, multiplies it by 7 and then adds 27. The result is 55. What is the number?
  12. 12.Dev thinks of a number, multiplies it by 9 and then adds 6. The result is 105. What is the number?
  13. 13.Kabir is 5 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  14. 14.Lakshmi is 7 years older than a cousin. Their ages add up to 33 years. How old is the cousin?
  15. 15.Vivaan is 4 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  16. 16.Solve: 2(t + 5) = 40. What is t?
  17. 17.Solve: 5y − 12 = 3. What is y?
  18. 18.Karan’s mother is four times as old as Karan. Their ages add up to 40 years. How old is Karan?
  19. 19.Gurpreet thinks of a number, multiplies it by 5 and then adds 3. The result is 23. What is the number?
  20. 20.Solve: x/4 + 11 = 15. What is x?
  21. 21.Solve: 8(t + 2) = 48. What is t?
  22. 22.Aditya is 1 years older than a cousin. Their ages add up to 9 years. How old is the cousin?
  23. 23.Solve: x/8 + 10 = 19. What is x?
  24. 24.Solve: x/8 + 13 = 27. What is x?
  25. 25.Solve: 4p + 20 = 60. What is p?
  26. 26.Solve: 3m − 3 = 24. What is m?
  27. 27.Solve: 2p + 20 = 22. What is p?
  28. 28.Solve: 8p + 14 = 30. What is p?
  29. 29.Solve: t/7 + 17 = 19. What is t?
  30. 30.Solve: 2(p + 3) = 36. What is p?
  31. 31.Solve: 2t − 1 = 1. What is t?
  32. 32.Solve: x/5 + 9 = 23. What is x?
  33. 33.Solve: 7m − 16 = 12. What is m?
  34. 34.Aarav is 3 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  35. 35.Ananya thinks of a number, multiplies it by 4 and then adds 21. The result is 41. What is the number?
  36. 36.Rahul’s mother is three times as old as Rahul. Their ages add up to 44 years. How old is Rahul?
  37. 37.Solve: 8(p + 2) = 120. What is p?
  38. 38.Ishaan’s mother is four times as old as Ishaan. Their ages add up to 55 years. How old is Ishaan?
  39. 39.Solve: p/4 + 17 = 28. What is p?
  40. 40.Solve: 9y − 9 = 9. What is y?

Answer key

  1. 15
  2. 15
  3. 14
  4. 4
  5. 8
  6. 4
  7. 6
  8. 14
  9. 5
  10. 10
  11. 4
  12. 11
  13. 5
  14. 13
  15. 11
  16. 15
  17. 3
  18. 8
  19. 4
  20. 16
  21. 4
  22. 4
  23. 72
  24. 112
  25. 10
  26. 9
  27. 1
  28. 2
  29. 14
  30. 15
  31. 1
  32. 70
  33. 4
  34. 8
  35. 5
  36. 11
  37. 13
  38. 11
  39. 44
  40. 2

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