← Simple equations lesson New set →

Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 577 · 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.

NameDateTime takenScore ___ / 40
  1. 1.Solve: 3y − 22 = 23. What is y?
  2. 2.Solve: 2m − 2 = 4. What is m?
  3. 3.Solve: 6x − 74 = 4. What is x?
  4. 4.Solve: 2(y + 7) = 16. What is y?
  5. 5.Solve: 2m + 13 = 17. What is m?
  6. 6.Nisha thinks of a number, multiplies it by 8 and then adds 29. The result is 101. What is the number?
  7. 7.Solve: n/9 + 17 = 23. What is n?
  8. 8.Solve: 2(x + 1) = 28. What is x?
  9. 9.Tara’s mother is twice as old as Tara. Their ages add up to 12 years. How old is Tara?
  10. 10.Solve: 2m − 4 = 8. What is m?
  11. 11.Solve: 4(x + 9) = 44. What is x?
  12. 12.Rahul is 6 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  13. 13.Solve: p/5 + 17 = 21. What is p?
  14. 14.Solve: 3m + 1 = 31. What is m?
  15. 15.Solve: 7(p + 7) = 133. What is p?
  16. 16.Solve: y/7 + 12 = 19. What is y?
  17. 17.Solve: x/5 + 11 = 19. What is x?
  18. 18.Solve: 5m + 12 = 22. What is m?
  19. 19.Solve: 7(x + 1) = 84. What is x?
  20. 20.Manav is 7 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  21. 21.Solve: x/7 + 18 = 21. What is x?
  22. 22.Pooja thinks of a number, multiplies it by 4 and then adds 2. The result is 34. What is the number?
  23. 23.Solve: 9m − 112 = 23. What is m?
  24. 24.Manav thinks of a number, multiplies it by 5 and then adds 10. The result is 50. What is the number?
  25. 25.Kavya thinks of a number, multiplies it by 2 and then adds 7. The result is 27. What is the number?
  26. 26.Solve: 4y + 19 = 79. What is y?
  27. 27.Solve: t/2 + 11 = 14. What is t?
  28. 28.Solve: n/7 + 11 = 25. What is n?
  29. 29.Solve: 2p − 10 = 14. What is p?
  30. 30.Solve: m/2 + 13 = 16. What is m?
  31. 31.Farhan is 6 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  32. 32.Farhan’s mother is twice as old as Farhan. Their ages add up to 42 years. How old is Farhan?
  33. 33.Ananya is 4 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  34. 34.Solve: n/6 + 20 = 28. What is n?
  35. 35.Solve: 9y + 26 = 53. What is y?
  36. 36.Solve: t/6 + 11 = 13. What is t?
  37. 37.Solve: m/8 + 20 = 34. What is m?
  38. 38.Arjun thinks of a number, multiplies it by 4 and then adds 18. The result is 50. What is the number?
  39. 39.Solve: 6p − 3 = 3. What is p?
  40. 40.Solve: 6n + 7 = 13. What is n?

Answer key

  1. 15
  2. 3
  3. 13
  4. 1
  5. 2
  6. 9
  7. 54
  8. 13
  9. 4
  10. 6
  11. 2
  12. 7
  13. 20
  14. 10
  15. 12
  16. 49
  17. 40
  18. 2
  19. 11
  20. 12
  21. 21
  22. 8
  23. 15
  24. 8
  25. 10
  26. 15
  27. 6
  28. 98
  29. 12
  30. 6
  31. 11
  32. 14
  33. 11
  34. 48
  35. 3
  36. 12
  37. 112
  38. 8
  39. 1
  40. 1

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets