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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 964 · 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: 5(t + 8) = 110. What is t?
  2. 2.Solve: t/2 + 2 = 17. What is t?
  3. 3.Solve: y/3 + 14 = 25. What is y?
  4. 4.Solve: m/5 + 3 = 18. What is m?
  5. 5.Karan is 5 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  6. 6.Solve: 9p − 31 = 95. What is p?
  7. 7.Solve: 9(x + 1) = 117. What is x?
  8. 8.Ananya’s mother is twice as old as Ananya. Their ages add up to 36 years. How old is Ananya?
  9. 9.Solve: 7y − 17 = 25. What is y?
  10. 10.Solve: m/6 + 8 = 9. What is m?
  11. 11.Solve: 3t + 10 = 25. What is t?
  12. 12.Solve: 6t − 20 = 52. What is t?
  13. 13.Ananya thinks of a number, multiplies it by 7 and then adds 17. The result is 115. What is the number?
  14. 14.Diya is 3 years older than a cousin. Their ages add up to 33 years. How old is the cousin?
  15. 15.Solve: 6n − 19 = 59. What is n?
  16. 16.Solve: 7(t + 2) = 70. What is t?
  17. 17.Rohan is 6 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  18. 18.Solve: 5x − 17 = 18. What is x?
  19. 19.Solve: 7(y + 1) = 105. What is y?
  20. 20.Solve: p/3 + 19 = 20. What is p?
  21. 21.Manav thinks of a number, multiplies it by 2 and then adds 24. The result is 46. What is the number?
  22. 22.Isha’s mother is three times as old as Isha. Their ages add up to 40 years. How old is Isha?
  23. 23.Solve: y/2 + 2 = 6. What is y?
  24. 24.Solve: 6(y + 2) = 78. What is y?
  25. 25.Solve: 7m − 46 = 59. What is m?
  26. 26.Solve: 2x + 7 = 33. What is x?
  27. 27.Riya thinks of a number, multiplies it by 9 and then adds 9. The result is 27. What is the number?
  28. 28.Solve: 8m − 1 = 7. What is m?
  29. 29.Pooja thinks of a number, multiplies it by 3 and then adds 23. The result is 26. What is the number?
  30. 30.Solve: 4(n + 8) = 92. What is n?
  31. 31.Zoya’s mother is four times as old as Zoya. Their ages add up to 65 years. How old is Zoya?
  32. 32.Solve: 7x − 3 = 39. What is x?
  33. 33.Kabir thinks of a number, multiplies it by 2 and then adds 26. The result is 34. What is the number?
  34. 34.Solve: 2(x + 1) = 12. What is x?
  35. 35.Solve: y/4 + 8 = 13. What is y?
  36. 36.Solve: 7(t + 5) = 119. What is t?
  37. 37.Solve: 8y − 4 = 4. What is y?
  38. 38.Solve: 2p + 17 = 35. What is p?
  39. 39.Vivaan is 2 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  40. 40.Solve: 4y + 12 = 28. What is y?

Answer key

  1. 14
  2. 30
  3. 33
  4. 75
  5. 10
  6. 14
  7. 12
  8. 12
  9. 6
  10. 6
  11. 5
  12. 12
  13. 14
  14. 15
  15. 13
  16. 8
  17. 12
  18. 7
  19. 14
  20. 3
  21. 11
  22. 10
  23. 8
  24. 11
  25. 15
  26. 13
  27. 2
  28. 1
  29. 1
  30. 15
  31. 13
  32. 6
  33. 4
  34. 5
  35. 20
  36. 12
  37. 1
  38. 9
  39. 12
  40. 4

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