← Simple equations lesson New set →

Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 809 · 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.Joseph’s mother is four times as old as Joseph. Their ages add up to 40 years. How old is Joseph?
  2. 2.Solve: 9t − 23 = 4. What is t?
  3. 3.Pooja thinks of a number, multiplies it by 7 and then adds 25. The result is 32. What is the number?
  4. 4.Aditya is 4 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  5. 5.Solve: 2n + 1 = 19. What is n?
  6. 6.Solve: x/8 + 7 = 9. What is x?
  7. 7.Solve: 4n + 12 = 64. What is n?
  8. 8.Solve: 4m + 24 = 68. What is m?
  9. 9.Solve: t/7 + 13 = 19. What is t?
  10. 10.Gurpreet is 2 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  11. 11.Zoya thinks of a number, multiplies it by 6 and then adds 7. The result is 97. What is the number?
  12. 12.Saanvi’s mother is four times as old as Saanvi. Their ages add up to 50 years. How old is Saanvi?
  13. 13.Solve: 3(x + 7) = 33. What is x?
  14. 14.Solve: 2p − 2 = 12. What is p?
  15. 15.Rohan is 3 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  16. 16.Farhan thinks of a number, multiplies it by 4 and then adds 1. The result is 45. What is the number?
  17. 17.Solve: 7p + 25 = 88. What is p?
  18. 18.Solve: 2(n + 2) = 10. What is n?
  19. 19.Solve: 8x + 10 = 18. What is x?
  20. 20.Solve: 9(p + 6) = 135. What is p?
  21. 21.Aarav thinks of a number, multiplies it by 9 and then adds 3. The result is 57. What is the number?
  22. 22.Solve: n/5 + 1 = 6. What is n?
  23. 23.Saanvi is 5 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  24. 24.Sneha is 2 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  25. 25.Solve: 2t + 20 = 26. What is t?
  26. 26.Ishaan’s mother is twice as old as Ishaan. Their ages add up to 42 years. How old is Ishaan?
  27. 27.Solve: 8x + 10 = 26. What is x?
  28. 28.Ishaan’s mother is four times as old as Ishaan. Their ages add up to 65 years. How old is Ishaan?
  29. 29.Solve: 4(y + 2) = 32. What is y?
  30. 30.Rahul’s mother is three times as old as Rahul. Their ages add up to 40 years. How old is Rahul?
  31. 31.Sneha’s mother is twice as old as Sneha. Their ages add up to 27 years. How old is Sneha?
  32. 32.Solve: 2(m + 5) = 28. What is m?
  33. 33.Rahul’s mother is three times as old as Rahul. Their ages add up to 48 years. How old is Rahul?
  34. 34.Pooja is 5 years older than a cousin. Their ages add up to 33 years. How old is the cousin?
  35. 35.Aarav thinks of a number, multiplies it by 3 and then adds 6. The result is 36. What is the number?
  36. 36.Solve: 7(n + 7) = 133. What is n?
  37. 37.Solve: 9y + 5 = 14. What is y?
  38. 38.Solve: 3m + 28 = 67. What is m?
  39. 39.Solve: 4x + 28 = 80. What is x?
  40. 40.Diya’s mother is twice as old as Diya. Their ages add up to 15 years. How old is Diya?

Answer key

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

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