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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 633 · 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: 3(p + 9) = 72. What is p?
  2. 2.Solve: 5n − 8 = 2. What is n?
  3. 3.Solve: 8n − 42 = 70. What is n?
  4. 4.Solve: 8(p + 8) = 72. What is p?
  5. 5.Solve: 8p − 1 = 7. What is p?
  6. 6.Sneha’s mother is four times as old as Sneha. Their ages add up to 30 years. How old is Sneha?
  7. 7.Solve: 8y − 21 = 99. What is y?
  8. 8.Solve: 6x + 29 = 35. What is x?
  9. 9.Solve: 6(t + 1) = 60. What is t?
  10. 10.Solve: 3y + 16 = 34. What is y?
  11. 11.Solve: 2p + 1 = 25. What is p?
  12. 12.Solve: m/6 + 8 = 16. What is m?
  13. 13.Solve: 5t − 3 = 22. What is t?
  14. 14.Solve: 5x − 3 = 7. What is x?
  15. 15.Meera thinks of a number, multiplies it by 7 and then adds 4. The result is 32. What is the number?
  16. 16.Solve: 8(p + 9) = 136. What is p?
  17. 17.Solve: 8(y + 9) = 152. What is y?
  18. 18.Solve: 8y + 26 = 74. What is y?
  19. 19.Solve: 5(t + 9) = 110. What is t?
  20. 20.Solve: 9n − 61 = 11. What is n?
  21. 21.Solve: x/3 + 13 = 20. What is x?
  22. 22.Solve: 6n − 3 = 9. What is n?
  23. 23.Rahul’s mother is twice as old as Rahul. Their ages add up to 15 years. How old is Rahul?
  24. 24.Solve: 9y − 54 = 72. What is y?
  25. 25.Ishaan is 4 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  26. 26.Solve: 2(x + 3) = 12. What is x?
  27. 27.Manav is 6 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  28. 28.Solve: t/4 + 16 = 19. What is t?
  29. 29.Karan is 7 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  30. 30.Kavya thinks of a number, multiplies it by 3 and then adds 22. The result is 28. What is the number?
  31. 31.Solve: 6(t + 9) = 114. What is t?
  32. 32.Solve: p/2 + 3 = 17. What is p?
  33. 33.Solve: t/6 + 16 = 24. What is t?
  34. 34.Farhan thinks of a number, multiplies it by 2 and then adds 5. The result is 33. What is the number?
  35. 35.Solve: 9n − 23 = 94. What is n?
  36. 36.Gurpreet thinks of a number, multiplies it by 7 and then adds 29. The result is 57. What is the number?
  37. 37.Solve: 3p + 18 = 36. What is p?
  38. 38.Arjun’s mother is four times as old as Arjun. Their ages add up to 45 years. How old is Arjun?
  39. 39.Solve: 9t − 40 = 41. What is t?
  40. 40.Kabir’s mother is four times as old as Kabir. Their ages add up to 20 years. How old is Kabir?

Answer key

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

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