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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 465 · 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: t/3 + 20 = 27. What is t?
  2. 2.Nisha’s mother is four times as old as Nisha. Their ages add up to 50 years. How old is Nisha?
  3. 3.Solve: n/5 + 15 = 16. What is n?
  4. 4.Riya thinks of a number, multiplies it by 7 and then adds 17. The result is 24. What is the number?
  5. 5.Solve: 4n − 34 = 26. What is n?
  6. 6.Gurpreet thinks of a number, multiplies it by 4 and then adds 8. The result is 12. What is the number?
  7. 7.Kavya is 3 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  8. 8.Ishaan thinks of a number, multiplies it by 2 and then adds 7. The result is 11. What is the number?
  9. 9.Vivaan’s mother is three times as old as Vivaan. Their ages add up to 20 years. How old is Vivaan?
  10. 10.Solve: 9(t + 5) = 81. What is t?
  11. 11.Solve: 7t + 5 = 103. What is t?
  12. 12.Solve: 5x + 21 = 26. What is x?
  13. 13.Ishaan is 2 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  14. 14.Kabir’s mother is four times as old as Kabir. Their ages add up to 40 years. How old is Kabir?
  15. 15.Kabir’s mother is twice as old as Kabir. Their ages add up to 21 years. How old is Kabir?
  16. 16.Kavya thinks of a number, multiplies it by 8 and then adds 24. The result is 104. What is the number?
  17. 17.Tara’s mother is four times as old as Tara. Their ages add up to 40 years. How old is Tara?
  18. 18.Solve: 5m − 7 = 28. What is m?
  19. 19.Solve: 4(m + 8) = 80. What is m?
  20. 20.Solve: p/2 + 14 = 17. What is p?
  21. 21.Solve: 5(p + 3) = 55. What is p?
  22. 22.Joseph’s mother is twice as old as Joseph. Their ages add up to 36 years. How old is Joseph?
  23. 23.Tara thinks of a number, multiplies it by 3 and then adds 22. The result is 28. What is the number?
  24. 24.Solve: n/2 + 8 = 17. What is n?
  25. 25.Solve: 2n − 1 = 1. What is n?
  26. 26.Zoya is 7 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  27. 27.Solve: 9y − 11 = 7. What is y?
  28. 28.Solve: 7t − 9 = 12. What is t?
  29. 29.Solve: t/5 + 10 = 17. What is t?
  30. 30.Solve: 7m − 7 = 91. What is m?
  31. 31.Solve: 9y − 78 = 48. What is y?
  32. 32.Solve: 3p − 1 = 32. What is p?
  33. 33.Solve: 7p − 12 = 9. What is p?
  34. 34.Solve: x/5 + 20 = 25. What is x?
  35. 35.Solve: 2n − 1 = 3. What is n?
  36. 36.Gurpreet is 3 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  37. 37.Solve: 3x + 22 = 43. What is x?
  38. 38.Solve: 3t − 8 = 31. What is t?
  39. 39.Solve: 8n − 14 = 18. What is n?
  40. 40.Lakshmi thinks of a number, multiplies it by 8 and then adds 5. The result is 37. What is the number?

Answer key

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

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