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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 498 · 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: 3p − 12 = 6. What is p?
  2. 2.Priya thinks of a number, multiplies it by 4 and then adds 13. The result is 29. What is the number?
  3. 3.Kabir’s mother is three times as old as Kabir. Their ages add up to 48 years. How old is Kabir?
  4. 4.Karan is 4 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  5. 5.Solve: 9n + 9 = 54. What is n?
  6. 6.Solve: 3x + 8 = 11. What is x?
  7. 7.Solve: 3m − 1 = 8. What is m?
  8. 8.Solve: 7n + 7 = 14. What is n?
  9. 9.Kavya thinks of a number, multiplies it by 7 and then adds 16. The result is 58. What is the number?
  10. 10.Solve: 2(t + 4) = 20. What is t?
  11. 11.Solve: 3t + 6 = 9. What is t?
  12. 12.Solve: 7p − 54 = 9. What is p?
  13. 13.Solve: t/4 + 3 = 9. What is t?
  14. 14.Solve: 5n + 15 = 85. What is n?
  15. 15.Solve: n/7 + 12 = 21. What is n?
  16. 16.Sneha thinks of a number, multiplies it by 4 and then adds 2. The result is 14. What is the number?
  17. 17.Solve: p/3 + 12 = 13. What is p?
  18. 18.Priya thinks of a number, multiplies it by 3 and then adds 17. The result is 23. What is the number?
  19. 19.Solve: y/5 + 9 = 17. What is y?
  20. 20.Gurpreet thinks of a number, multiplies it by 4 and then adds 27. The result is 39. What is the number?
  21. 21.Solve: m/6 + 3 = 10. What is m?
  22. 22.Priya’s mother is twice as old as Priya. Their ages add up to 15 years. How old is Priya?
  23. 23.Solve: x/4 + 6 = 8. What is x?
  24. 24.Solve: 7n − 10 = 4. What is n?
  25. 25.Solve: 4n − 15 = 45. What is n?
  26. 26.Kabir thinks of a number, multiplies it by 8 and then adds 11. The result is 131. What is the number?
  27. 27.Solve: 4t + 23 = 47. What is t?
  28. 28.Solve: p/8 + 20 = 25. What is p?
  29. 29.Solve: 8(m + 2) = 128. What is m?
  30. 30.Solve: p/9 + 13 = 26. What is p?
  31. 31.Solve: 5n + 2 = 12. What is n?
  32. 32.Solve: y/5 + 4 = 16. What is y?
  33. 33.Tara is 1 years older than a cousin. Their ages add up to 9 years. How old is the cousin?
  34. 34.Solve: 8(m + 5) = 112. What is m?
  35. 35.Solve: 2n + 12 = 26. What is n?
  36. 36.Joseph thinks of a number, multiplies it by 8 and then adds 17. The result is 129. What is the number?
  37. 37.Kavya is 5 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  38. 38.Solve: 8(y + 9) = 136. What is y?
  39. 39.Kavya thinks of a number, multiplies it by 9 and then adds 2. The result is 119. What is the number?
  40. 40.Solve: 2m + 18 = 40. What is m?

Answer key

  1. 6
  2. 4
  3. 12
  4. 10
  5. 5
  6. 1
  7. 3
  8. 1
  9. 6
  10. 6
  11. 1
  12. 9
  13. 24
  14. 14
  15. 63
  16. 3
  17. 3
  18. 2
  19. 40
  20. 3
  21. 42
  22. 5
  23. 8
  24. 2
  25. 15
  26. 15
  27. 6
  28. 40
  29. 14
  30. 117
  31. 2
  32. 60
  33. 4
  34. 9
  35. 7
  36. 14
  37. 12
  38. 8
  39. 13
  40. 11

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