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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 685 · 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.Nisha is 8 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  2. 2.Solve: y/2 + 9 = 16. What is y?
  3. 3.Solve: t/9 + 11 = 20. What is t?
  4. 4.Solve: n/5 + 4 = 11. What is n?
  5. 5.Solve: t/8 + 4 = 9. What is t?
  6. 6.Solve: x/9 + 11 = 13. What is x?
  7. 7.Solve: m/4 + 9 = 17. What is m?
  8. 8.Solve: 4(m + 9) = 96. What is m?
  9. 9.Solve: 3y − 1 = 14. What is y?
  10. 10.Solve: 8(y + 1) = 120. What is y?
  11. 11.Tara’s mother is twice as old as Tara. Their ages add up to 15 years. How old is Tara?
  12. 12.Farhan is 8 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  13. 13.Solve: 9y − 2 = 7. What is y?
  14. 14.Zoya is 1 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  15. 15.Solve: 3y + 24 = 39. What is y?
  16. 16.Solve: 3t − 1 = 2. What is t?
  17. 17.Dev thinks of a number, multiplies it by 8 and then adds 22. The result is 126. What is the number?
  18. 18.Isha thinks of a number, multiplies it by 9 and then adds 14. The result is 32. What is the number?
  19. 19.Solve: 6(p + 6) = 66. What is p?
  20. 20.Solve: 2n + 20 = 48. What is n?
  21. 21.Manav’s mother is three times as old as Manav. Their ages add up to 16 years. How old is Manav?
  22. 22.Diya’s mother is four times as old as Diya. Their ages add up to 20 years. How old is Diya?
  23. 23.Solve: 9(p + 4) = 72. What is p?
  24. 24.Ishaan is 8 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  25. 25.Solve: 3m − 16 = 29. What is m?
  26. 26.Tara is 7 years older than a cousin. Their ages add up to 35 years. How old is the cousin?
  27. 27.Solve: 8n + 11 = 123. What is n?
  28. 28.Saanvi thinks of a number, multiplies it by 3 and then adds 18. The result is 57. What is the number?
  29. 29.Isha is 1 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  30. 30.Solve: 3(p + 2) = 36. What is p?
  31. 31.Rohan thinks of a number, multiplies it by 3 and then adds 13. The result is 25. What is the number?
  32. 32.Riya thinks of a number, multiplies it by 5 and then adds 10. The result is 55. What is the number?
  33. 33.Solve: t/9 + 3 = 7. What is t?
  34. 34.Kabir thinks of a number, multiplies it by 2 and then adds 7. The result is 33. What is the number?
  35. 35.Solve: x/4 + 4 = 6. What is x?
  36. 36.Kabir is 2 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  37. 37.Arjun is 4 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  38. 38.Aditya is 4 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  39. 39.Solve: 7m + 26 = 110. What is m?
  40. 40.Solve: t/9 + 7 = 8. What is t?

Answer key

  1. 7
  2. 14
  3. 81
  4. 35
  5. 40
  6. 18
  7. 32
  8. 15
  9. 5
  10. 14
  11. 5
  12. 13
  13. 1
  14. 10
  15. 5
  16. 1
  17. 13
  18. 2
  19. 5
  20. 14
  21. 4
  22. 4
  23. 4
  24. 13
  25. 15
  26. 14
  27. 14
  28. 13
  29. 15
  30. 10
  31. 4
  32. 9
  33. 36
  34. 13
  35. 8
  36. 13
  37. 11
  38. 14
  39. 12
  40. 9

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