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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 756 · 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: p/8 + 19 = 34. What is p?
  2. 2.Priya thinks of a number, multiplies it by 5 and then adds 5. The result is 65. What is the number?
  3. 3.Solve: t/7 + 7 = 14. What is t?
  4. 4.Solve: 7t + 16 = 93. What is t?
  5. 5.Solve: 8m + 1 = 49. What is m?
  6. 6.Solve: 7(x + 7) = 119. What is x?
  7. 7.Solve: 2t + 8 = 18. What is t?
  8. 8.Solve: 5(p + 2) = 40. What is p?
  9. 9.Solve: 9p + 3 = 39. What is p?
  10. 10.Ananya is 1 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  11. 11.Solve: x/2 + 1 = 11. What is x?
  12. 12.Arjun thinks of a number, multiplies it by 9 and then adds 27. The result is 117. What is the number?
  13. 13.Lakshmi is 2 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  14. 14.Solve: 2(x + 3) = 22. What is x?
  15. 15.Solve: 3m + 15 = 18. What is m?
  16. 16.Solve: 3m + 30 = 60. What is m?
  17. 17.Ishaan’s mother is twice as old as Ishaan. Their ages add up to 33 years. How old is Ishaan?
  18. 18.Solve: 5n − 10 = 60. What is n?
  19. 19.Solve: x/8 + 11 = 14. What is x?
  20. 20.Solve: 4(t + 1) = 28. What is t?
  21. 21.Solve: t/6 + 18 = 21. What is t?
  22. 22.Solve: 9m − 4 = 5. What is m?
  23. 23.Solve: 2n − 1 = 15. What is n?
  24. 24.Zoya is 1 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  25. 25.Manav thinks of a number, multiplies it by 3 and then adds 15. The result is 54. What is the number?
  26. 26.Solve: 9m + 29 = 83. What is m?
  27. 27.Solve: 5y − 6 = 49. What is y?
  28. 28.Solve: 7p + 21 = 49. What is p?
  29. 29.Vivaan is 3 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  30. 30.Solve: 3p + 22 = 43. What is p?
  31. 31.Farhan’s mother is twice as old as Farhan. Their ages add up to 39 years. How old is Farhan?
  32. 32.Solve: y/2 + 7 = 8. What is y?
  33. 33.Pooja is 4 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  34. 34.Lakshmi is 1 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  35. 35.Solve: 2t − 6 = 10. What is t?
  36. 36.Sneha thinks of a number, multiplies it by 7 and then adds 22. The result is 43. What is the number?
  37. 37.Solve: 9t + 14 = 23. What is t?
  38. 38.Solve: 3(m + 8) = 57. What is m?
  39. 39.Solve: x/7 + 6 = 14. What is x?
  40. 40.Kavya thinks of a number, multiplies it by 6 and then adds 30. The result is 36. What is the number?

Answer key

  1. 120
  2. 12
  3. 49
  4. 11
  5. 6
  6. 10
  7. 5
  8. 6
  9. 4
  10. 14
  11. 20
  12. 10
  13. 14
  14. 8
  15. 1
  16. 10
  17. 11
  18. 14
  19. 24
  20. 6
  21. 18
  22. 1
  23. 8
  24. 14
  25. 13
  26. 6
  27. 11
  28. 4
  29. 5
  30. 7
  31. 13
  32. 2
  33. 11
  34. 11
  35. 8
  36. 3
  37. 1
  38. 11
  39. 56
  40. 1

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