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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 958 · 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: y/3 + 2 = 8. What is y?
  2. 2.Solve: 5n + 16 = 61. What is n?
  3. 3.Solve: 2(y + 8) = 44. What is y?
  4. 4.Solve: x/4 + 4 = 16. What is x?
  5. 5.Solve: 9x − 47 = 79. What is x?
  6. 6.Solve: 3x + 18 = 36. What is x?
  7. 7.Solve: y/2 + 12 = 14. What is y?
  8. 8.Solve: 3t + 2 = 20. What is t?
  9. 9.Gurpreet’s mother is twice as old as Gurpreet. Their ages add up to 30 years. How old is Gurpreet?
  10. 10.Solve: 6n − 3 = 33. What is n?
  11. 11.Farhan thinks of a number, multiplies it by 3 and then adds 16. The result is 19. What is the number?
  12. 12.Isha thinks of a number, multiplies it by 2 and then adds 7. The result is 31. What is the number?
  13. 13.Solve: 2n − 24 = 6. What is n?
  14. 14.Ishaan is 8 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  15. 15.Pooja thinks of a number, multiplies it by 3 and then adds 16. The result is 25. What is the number?
  16. 16.Solve: 4y + 27 = 51. What is y?
  17. 17.Solve: 5(p + 7) = 45. What is p?
  18. 18.Solve: 9(t + 1) = 135. What is t?
  19. 19.Diya thinks of a number, multiplies it by 5 and then adds 4. The result is 59. What is the number?
  20. 20.Diya’s mother is four times as old as Diya. Their ages add up to 50 years. How old is Diya?
  21. 21.Solve: 8m − 11 = 37. What is m?
  22. 22.Ishaan thinks of a number, multiplies it by 7 and then adds 20. The result is 90. What is the number?
  23. 23.Solve: y/3 + 13 = 18. What is y?
  24. 24.Nisha is 1 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  25. 25.Solve: 8(t + 9) = 112. What is t?
  26. 26.Lakshmi is 3 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  27. 27.Solve: 4m + 28 = 64. What is m?
  28. 28.Farhan thinks of a number, multiplies it by 7 and then adds 23. The result is 121. What is the number?
  29. 29.Vivaan is 2 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  30. 30.Isha thinks of a number, multiplies it by 3 and then adds 6. The result is 27. What is the number?
  31. 31.Solve: 5y + 1 = 51. What is y?
  32. 32.Solve: 2m + 6 = 14. What is m?
  33. 33.Solve: 2(m + 4) = 24. What is m?
  34. 34.Solve: 3m + 19 = 34. What is m?
  35. 35.Solve: 4(x + 8) = 40. What is x?
  36. 36.Solve: 2(x + 3) = 14. What is x?
  37. 37.Solve: 4(t + 5) = 24. What is t?
  38. 38.Ishaan is 7 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  39. 39.Solve: 6(x + 7) = 102. What is x?
  40. 40.Lakshmi thinks of a number, multiplies it by 6 and then adds 29. The result is 59. What is the number?

Answer key

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

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