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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 972 · 40 sums
TalentJR

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: 6(p + 4) = 72. What is p?
  2. 2.Solve: 2p + 22 = 34. What is p?
  3. 3.Solve: 5p − 13 = 27. What is p?
  4. 4.Solve: 2m + 26 = 48. What is m?
  5. 5.Solve: 9x + 4 = 112. What is x?
  6. 6.Solve: 3(t + 3) = 18. What is t?
  7. 7.Lakshmi thinks of a number, multiplies it by 4 and then adds 7. The result is 51. What is the number?
  8. 8.Gurpreet is 1 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  9. 9.Solve: 7(n + 8) = 70. What is n?
  10. 10.Solve: n/3 + 10 = 13. What is n?
  11. 11.Solve: 5t − 1 = 9. What is t?
  12. 12.Solve: 2(m + 9) = 38. What is m?
  13. 13.Zoya is 6 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  14. 14.Solve: 2(n + 4) = 32. What is n?
  15. 15.Solve: 7t − 54 = 23. What is t?
  16. 16.Solve: 9(p + 3) = 63. What is p?
  17. 17.Solve: p/4 + 11 = 21. What is p?
  18. 18.Tara’s mother is three times as old as Tara. Their ages add up to 36 years. How old is Tara?
  19. 19.Solve: y/3 + 19 = 22. What is y?
  20. 20.Solve: 5(t + 5) = 75. What is t?
  21. 21.Solve: 3p + 17 = 20. What is p?
  22. 22.Dev thinks of a number, multiplies it by 8 and then adds 29. The result is 53. What is the number?
  23. 23.Solve: 5x + 18 = 68. What is x?
  24. 24.Solve: t/8 + 9 = 11. What is t?
  25. 25.Solve: 3(t + 3) = 15. What is t?
  26. 26.Rahul thinks of a number, multiplies it by 7 and then adds 13. The result is 97. What is the number?
  27. 27.Solve: m/6 + 6 = 13. What is m?
  28. 28.Solve: 5m − 3 = 2. What is m?
  29. 29.Nisha thinks of a number, multiplies it by 3 and then adds 9. The result is 36. What is the number?
  30. 30.Lakshmi is 3 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  31. 31.Arjun is 7 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  32. 32.Solve: m/2 + 11 = 12. What is m?
  33. 33.Solve: 6p + 5 = 11. What is p?
  34. 34.Solve: p/2 + 1 = 3. What is p?
  35. 35.Solve: 2m − 7 = 21. What is m?
  36. 36.Ishaan is 7 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  37. 37.Solve: 7(x + 2) = 91. What is x?
  38. 38.Solve: p/5 + 19 = 31. What is p?
  39. 39.Solve: 5m + 24 = 34. What is m?
  40. 40.Solve: 2n − 7 = 23. What is n?

Answer key

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

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