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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 18 · 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: 6t − 7 = 5. What is t?
  2. 2.Solve: t/4 + 8 = 11. What is t?
  3. 3.Solve: 8t − 14 = 90. What is t?
  4. 4.Solve: 3(p + 6) = 57. What is p?
  5. 5.Solve: 5(x + 6) = 85. What is x?
  6. 6.Kavya is 2 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  7. 7.Solve: 2(p + 3) = 12. What is p?
  8. 8.Aditya is 6 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  9. 9.Solve: 6p + 21 = 93. What is p?
  10. 10.Solve: 3p + 21 = 48. What is p?
  11. 11.Vivaan is 8 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  12. 12.Solve: 9m + 20 = 128. What is m?
  13. 13.Solve: x/3 + 16 = 21. What is x?
  14. 14.Solve: n/5 + 1 = 9. What is n?
  15. 15.Kabir thinks of a number, multiplies it by 3 and then adds 6. The result is 27. What is the number?
  16. 16.Solve: 9m − 2 = 7. What is m?
  17. 17.Farhan thinks of a number, multiplies it by 2 and then adds 10. The result is 36. What is the number?
  18. 18.Zoya is 2 years older than a cousin. Their ages add up to 10 years. How old is the cousin?
  19. 19.Solve: 3p − 4 = 32. What is p?
  20. 20.Zoya’s mother is four times as old as Zoya. Their ages add up to 65 years. How old is Zoya?
  21. 21.Solve: 2(y + 2) = 6. What is y?
  22. 22.Solve: 9(y + 4) = 99. What is y?
  23. 23.Solve: n/8 + 2 = 3. What is n?
  24. 24.Tara is 5 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  25. 25.Solve: 5n − 20 = 5. What is n?
  26. 26.Priya thinks of a number, multiplies it by 6 and then adds 6. The result is 54. What is the number?
  27. 27.Joseph is 3 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
  28. 28.Priya thinks of a number, multiplies it by 9 and then adds 23. The result is 122. What is the number?
  29. 29.Ishaan’s mother is four times as old as Ishaan. Their ages add up to 35 years. How old is Ishaan?
  30. 30.Lakshmi is 7 years older than a cousin. Their ages add up to 37 years. How old is the cousin?
  31. 31.Lakshmi’s mother is four times as old as Lakshmi. Their ages add up to 25 years. How old is Lakshmi?
  32. 32.Solve: 4(n + 1) = 48. What is n?
  33. 33.Solve: n/2 + 2 = 6. What is n?
  34. 34.Rohan’s mother is four times as old as Rohan. Their ages add up to 65 years. How old is Rohan?
  35. 35.Solve: 5n − 1 = 24. What is n?
  36. 36.Solve: 3x − 8 = 16. What is x?
  37. 37.Solve: 2x − 3 = 1. What is x?
  38. 38.Joseph thinks of a number, multiplies it by 9 and then adds 4. The result is 40. What is the number?
  39. 39.Solve: n/4 + 15 = 19. What is n?
  40. 40.Solve: 5n − 15 = 35. What is n?

Answer key

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

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