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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 769 · 40 sums
TalentJR

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: 8(x + 1) = 40. What is x?
  2. 2.Solve: p/2 + 1 = 14. What is p?
  3. 3.Arjun’s mother is four times as old as Arjun. Their ages add up to 25 years. How old is Arjun?
  4. 4.Solve: 3(p + 1) = 9. What is p?
  5. 5.Solve: 4(t + 7) = 56. What is t?
  6. 6.Solve: 4(t + 1) = 56. What is t?
  7. 7.Ananya thinks of a number, multiplies it by 9 and then adds 13. The result is 22. What is the number?
  8. 8.Solve: 4t − 36 = 8. What is t?
  9. 9.Tara’s mother is four times as old as Tara. Their ages add up to 70 years. How old is Tara?
  10. 10.Solve: x/9 + 8 = 9. What is x?
  11. 11.Solve: 6y − 29 = 37. What is y?
  12. 12.Solve: n/4 + 15 = 26. What is n?
  13. 13.Nisha thinks of a number, multiplies it by 6 and then adds 27. The result is 45. What is the number?
  14. 14.Solve: 5n − 3 = 2. What is n?
  15. 15.Aarav’s mother is twice as old as Aarav. Their ages add up to 18 years. How old is Aarav?
  16. 16.Solve: 7m − 3 = 4. What is m?
  17. 17.Joseph thinks of a number, multiplies it by 3 and then adds 14. The result is 32. What is the number?
  18. 18.Solve: n/7 + 13 = 14. What is n?
  19. 19.Solve: n/8 + 20 = 33. What is n?
  20. 20.Riya thinks of a number, multiplies it by 7 and then adds 2. The result is 107. What is the number?
  21. 21.Arjun is 8 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  22. 22.Solve: 6p + 9 = 81. What is p?
  23. 23.Solve: 5(m + 5) = 35. What is m?
  24. 24.Solve: 7x − 55 = 50. What is x?
  25. 25.Priya thinks of a number, multiplies it by 9 and then adds 1. The result is 10. What is the number?
  26. 26.Meera is 2 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  27. 27.Solve: 8(p + 9) = 136. What is p?
  28. 28.Solve: 5x − 5 = 5. What is x?
  29. 29.Gurpreet’s mother is twice as old as Gurpreet. Their ages add up to 42 years. How old is Gurpreet?
  30. 30.Gurpreet thinks of a number, multiplies it by 2 and then adds 6. The result is 14. What is the number?
  31. 31.Solve: 9n + 5 = 122. What is n?
  32. 32.Solve: 2(x + 2) = 24. What is x?
  33. 33.Sneha thinks of a number, multiplies it by 6 and then adds 13. The result is 49. What is the number?
  34. 34.Gurpreet thinks of a number, multiplies it by 8 and then adds 12. The result is 76. What is the number?
  35. 35.Solve: 2n − 1 = 1. What is n?
  36. 36.Priya is 2 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
  37. 37.Solve: 2(y + 1) = 32. What is y?
  38. 38.Solve: 8n + 3 = 67. What is n?
  39. 39.Riya thinks of a number, multiplies it by 9 and then adds 8. The result is 134. What is the number?
  40. 40.Solve: 6t + 9 = 81. What is t?

Answer key

  1. 4
  2. 26
  3. 5
  4. 2
  5. 7
  6. 13
  7. 1
  8. 11
  9. 14
  10. 9
  11. 11
  12. 44
  13. 3
  14. 1
  15. 6
  16. 1
  17. 6
  18. 7
  19. 104
  20. 15
  21. 4
  22. 12
  23. 2
  24. 15
  25. 1
  26. 10
  27. 8
  28. 2
  29. 14
  30. 4
  31. 13
  32. 10
  33. 6
  34. 8
  35. 1
  36. 5
  37. 15
  38. 8
  39. 14
  40. 12

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