← Simple equations lesson New set →

Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 254 · 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 + 9 = 27. What is y?
  2. 2.Tara’s mother is three times as old as Tara. Their ages add up to 56 years. How old is Tara?
  3. 3.Nisha is 6 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  4. 4.Solve: 5(x + 1) = 20. What is x?
  5. 5.Solve: 2(p + 8) = 26. What is p?
  6. 6.Solve: 5x + 11 = 66. What is x?
  7. 7.Solve: y/4 + 4 = 19. What is y?
  8. 8.Nisha is 7 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  9. 9.Arjun thinks of a number, multiplies it by 5 and then adds 5. The result is 30. What is the number?
  10. 10.Solve: n/2 + 8 = 23. What is n?
  11. 11.Solve: 3n + 24 = 33. What is n?
  12. 12.Solve: 2n + 12 = 30. What is n?
  13. 13.Solve: 8(p + 4) = 104. What is p?
  14. 14.Solve: 7m − 11 = 3. What is m?
  15. 15.Aarav’s mother is four times as old as Aarav. Their ages add up to 75 years. How old is Aarav?
  16. 16.Solve: 8(m + 2) = 48. What is m?
  17. 17.Solve: 2y − 19 = 3. What is y?
  18. 18.Solve: 2x + 15 = 25. What is x?
  19. 19.Lakshmi thinks of a number, multiplies it by 4 and then adds 18. The result is 30. What is the number?
  20. 20.Kavya thinks of a number, multiplies it by 6 and then adds 18. The result is 96. What is the number?
  21. 21.Solve: 3(t + 4) = 27. What is t?
  22. 22.Solve: 9(y + 8) = 198. What is y?
  23. 23.Solve: 4(x + 7) = 48. What is x?
  24. 24.Solve: 2(t + 3) = 10. What is t?
  25. 25.Solve: 9x + 21 = 75. What is x?
  26. 26.Solve: 6t − 13 = 47. What is t?
  27. 27.Ananya’s mother is twice as old as Ananya. Their ages add up to 24 years. How old is Ananya?
  28. 28.Solve: 7n + 13 = 83. What is n?
  29. 29.Solve: 2(p + 4) = 22. What is p?
  30. 30.Solve: 3n + 3 = 27. What is n?
  31. 31.Solve: 7y + 22 = 106. What is y?
  32. 32.Kabir thinks of a number, multiplies it by 6 and then adds 10. The result is 22. What is the number?
  33. 33.Tara thinks of a number, multiplies it by 9 and then adds 6. The result is 114. What is the number?
  34. 34.Nisha thinks of a number, multiplies it by 7 and then adds 29. The result is 134. What is the number?
  35. 35.Riya thinks of a number, multiplies it by 4 and then adds 6. The result is 10. What is the number?
  36. 36.Zoya is 2 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  37. 37.Nisha thinks of a number, multiplies it by 7 and then adds 15. The result is 50. What is the number?
  38. 38.Farhan’s mother is twice as old as Farhan. Their ages add up to 36 years. How old is Farhan?
  39. 39.Joseph is 6 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  40. 40.Solve: 5t − 37 = 28. What is t?

Answer key

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

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