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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 799 · 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: 4(x + 8) = 36. What is x?
  2. 2.Solve: y/8 + 5 = 12. What is y?
  3. 3.Solve: 5(p + 2) = 65. What is p?
  4. 4.Joseph is 2 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  5. 5.Solve: 3t + 3 = 39. What is t?
  6. 6.Solve: 3t + 20 = 38. What is t?
  7. 7.Nisha is 2 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  8. 8.Solve: 4y + 4 = 16. What is y?
  9. 9.Solve: 7(y + 3) = 77. What is y?
  10. 10.Solve: 2t − 3 = 3. What is t?
  11. 11.Solve: 6x + 27 = 39. What is x?
  12. 12.Solve: 9x + 5 = 23. What is x?
  13. 13.Solve: 3(m + 8) = 63. What is m?
  14. 14.Kabir is 8 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  15. 15.Solve: n/6 + 12 = 27. What is n?
  16. 16.Dev’s mother is twice as old as Dev. Their ages add up to 39 years. How old is Dev?
  17. 17.Saanvi thinks of a number, multiplies it by 4 and then adds 6. The result is 42. What is the number?
  18. 18.Solve: 2x − 11 = 5. What is x?
  19. 19.Ananya is 6 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  20. 20.Solve: m/4 + 3 = 5. What is m?
  21. 21.Lakshmi’s mother is twice as old as Lakshmi. Their ages add up to 42 years. How old is Lakshmi?
  22. 22.Solve: 2y − 15 = 13. What is y?
  23. 23.Solve: m/3 + 2 = 17. What is m?
  24. 24.Solve: 4(n + 4) = 48. What is n?
  25. 25.Solve: t/4 + 1 = 12. What is t?
  26. 26.Solve: 5(n + 3) = 20. What is n?
  27. 27.Sneha thinks of a number, multiplies it by 6 and then adds 17. The result is 41. What is the number?
  28. 28.Solve: 6m − 24 = 6. What is m?
  29. 29.Solve: 7(x + 8) = 77. What is x?
  30. 30.Solve: 5(t + 8) = 115. What is t?
  31. 31.Joseph is 7 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  32. 32.Solve: m/5 + 18 = 26. What is m?
  33. 33.Diya thinks of a number, multiplies it by 8 and then adds 13. The result is 125. What is the number?
  34. 34.Solve: 7y + 21 = 35. What is y?
  35. 35.Solve: 3n − 16 = 8. What is n?
  36. 36.Zoya thinks of a number, multiplies it by 6 and then adds 28. The result is 106. What is the number?
  37. 37.Karan thinks of a number, multiplies it by 8 and then adds 9. The result is 129. What is the number?
  38. 38.Solve: 9p + 16 = 70. What is p?
  39. 39.Solve: 9n + 29 = 92. What is n?
  40. 40.Manav thinks of a number, multiplies it by 7 and then adds 23. The result is 37. What is the number?

Answer key

  1. 1
  2. 56
  3. 11
  4. 8
  5. 12
  6. 6
  7. 12
  8. 3
  9. 8
  10. 3
  11. 2
  12. 2
  13. 13
  14. 5
  15. 90
  16. 13
  17. 9
  18. 8
  19. 13
  20. 8
  21. 14
  22. 14
  23. 45
  24. 8
  25. 44
  26. 1
  27. 4
  28. 5
  29. 3
  30. 15
  31. 5
  32. 40
  33. 14
  34. 2
  35. 8
  36. 13
  37. 15
  38. 6
  39. 7
  40. 2

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