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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 661 · 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.Joseph thinks of a number, multiplies it by 4 and then adds 25. The result is 65. What is the number?
  2. 2.Solve: 9y + 7 = 70. What is y?
  3. 3.Solve: 9t + 17 = 80. What is t?
  4. 4.Solve: 4m + 21 = 65. What is m?
  5. 5.Solve: 8y − 10 = 14. What is y?
  6. 6.Solve: 3(x + 3) = 39. What is x?
  7. 7.Rahul’s mother is three times as old as Rahul. Their ages add up to 40 years. How old is Rahul?
  8. 8.Solve: 4m − 14 = 2. What is m?
  9. 9.Sneha is 4 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  10. 10.Solve: m/2 + 19 = 24. What is m?
  11. 11.Solve: 6t + 1 = 37. What is t?
  12. 12.Solve: 4t − 3 = 9. What is t?
  13. 13.Arjun is 1 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  14. 14.Solve: 3p − 14 = 31. What is p?
  15. 15.Solve: 7(y + 3) = 112. What is y?
  16. 16.Saanvi is 4 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
  17. 17.Solve: 6(n + 9) = 78. What is n?
  18. 18.Solve: n/2 + 14 = 27. What is n?
  19. 19.Solve: 3y + 14 = 41. What is y?
  20. 20.Solve: m/6 + 19 = 21. What is m?
  21. 21.Nisha thinks of a number, multiplies it by 5 and then adds 22. The result is 82. What is the number?
  22. 22.Solve: 7x − 51 = 5. What is x?
  23. 23.Solve: 3p + 19 = 43. What is p?
  24. 24.Solve: 9(m + 8) = 162. What is m?
  25. 25.Solve: 6p + 23 = 29. What is p?
  26. 26.Ananya is 5 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  27. 27.Diya is 7 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  28. 28.Solve: 5(y + 7) = 50. What is y?
  29. 29.Solve: 6m − 33 = 15. What is m?
  30. 30.Isha thinks of a number, multiplies it by 5 and then adds 8. The result is 13. What is the number?
  31. 31.Solve: 5(t + 3) = 25. What is t?
  32. 32.Solve: 9n − 1 = 134. What is n?
  33. 33.Solve: 3(n + 3) = 51. What is n?
  34. 34.Solve: 6t − 3 = 39. What is t?
  35. 35.Solve: 8(p + 8) = 160. What is p?
  36. 36.Tara thinks of a number, multiplies it by 4 and then adds 2. The result is 14. What is the number?
  37. 37.Solve: t/2 + 6 = 10. What is t?
  38. 38.Solve: 2x + 11 = 41. What is x?
  39. 39.Solve: t/9 + 17 = 21. What is t?
  40. 40.Manav thinks of a number, multiplies it by 8 and then adds 18. The result is 66. What is the number?

Answer key

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

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