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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 699 · 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.Riya is 1 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  2. 2.Solve: 5(m + 5) = 40. What is m?
  3. 3.Tara thinks of a number, multiplies it by 4 and then adds 2. The result is 22. What is the number?
  4. 4.Lakshmi thinks of a number, multiplies it by 7 and then adds 15. The result is 85. What is the number?
  5. 5.Solve: 9(m + 1) = 99. What is m?
  6. 6.Solve: 5(n + 6) = 70. What is n?
  7. 7.Solve: 5(m + 3) = 85. What is m?
  8. 8.Joseph’s mother is twice as old as Joseph. Their ages add up to 45 years. How old is Joseph?
  9. 9.Nisha thinks of a number, multiplies it by 8 and then adds 9. The result is 73. What is the number?
  10. 10.Manav is 4 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  11. 11.Solve: p/6 + 15 = 23. What is p?
  12. 12.Solve: 2(x + 2) = 30. What is x?
  13. 13.Arjun thinks of a number, multiplies it by 7 and then adds 18. The result is 60. What is the number?
  14. 14.Solve: 3t + 30 = 63. What is t?
  15. 15.Solve: m/2 + 17 = 30. What is m?
  16. 16.Solve: 3(y + 5) = 33. What is y?
  17. 17.Solve: 2(n + 5) = 36. What is n?
  18. 18.Solve: 6(p + 9) = 144. What is p?
  19. 19.Solve: 6p − 3 = 9. What is p?
  20. 20.Nisha is 1 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  21. 21.Vivaan thinks of a number, multiplies it by 5 and then adds 1. The result is 16. What is the number?
  22. 22.Solve: 2x − 10 = 8. What is x?
  23. 23.Solve: 5x + 1 = 21. What is x?
  24. 24.Solve: 6y − 3 = 9. What is y?
  25. 25.Aarav thinks of a number, multiplies it by 8 and then adds 4. The result is 116. What is the number?
  26. 26.Solve: 8x − 6 = 18. What is x?
  27. 27.Solve: 2m + 19 = 25. What is m?
  28. 28.Rahul thinks of a number, multiplies it by 2 and then adds 28. The result is 50. What is the number?
  29. 29.Dev is 3 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
  30. 30.Solve: 2(p + 8) = 40. What is p?
  31. 31.Ishaan thinks of a number, multiplies it by 4 and then adds 17. The result is 69. What is the number?
  32. 32.Solve: 3n − 36 = 9. What is n?
  33. 33.Solve: 3m + 24 = 36. What is m?
  34. 34.Solve: 3p + 3 = 15. What is p?
  35. 35.Rohan thinks of a number, multiplies it by 9 and then adds 8. The result is 134. What is the number?
  36. 36.Arjun thinks of a number, multiplies it by 9 and then adds 2. The result is 38. What is the number?
  37. 37.Solve: 8m − 114 = 6. What is m?
  38. 38.Gurpreet thinks of a number, multiplies it by 9 and then adds 27. The result is 45. What is the number?
  39. 39.Tara is 5 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  40. 40.Solve: 3m − 7 = 2. What is m?

Answer key

  1. 6
  2. 3
  3. 5
  4. 10
  5. 10
  6. 8
  7. 14
  8. 15
  9. 8
  10. 10
  11. 48
  12. 13
  13. 6
  14. 11
  15. 26
  16. 6
  17. 13
  18. 15
  19. 2
  20. 6
  21. 3
  22. 9
  23. 4
  24. 2
  25. 14
  26. 3
  27. 3
  28. 11
  29. 4
  30. 12
  31. 13
  32. 15
  33. 4
  34. 4
  35. 14
  36. 4
  37. 15
  38. 2
  39. 12
  40. 3

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