← Simple equations lesson New set →

Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 792 · 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: 7x − 45 = 53. What is x?
  2. 2.Solve: t/6 + 19 = 33. What is t?
  3. 3.Solve: 4y − 3 = 1. What is y?
  4. 4.Kavya thinks of a number, multiplies it by 2 and then adds 6. The result is 8. What is the number?
  5. 5.Solve: x/3 + 2 = 7. What is x?
  6. 6.Dev thinks of a number, multiplies it by 6 and then adds 30. The result is 114. What is the number?
  7. 7.Solve: 5y + 19 = 74. What is y?
  8. 8.Solve: 7n − 7 = 63. What is n?
  9. 9.Solve: 8p + 3 = 11. What is p?
  10. 10.Gurpreet’s mother is four times as old as Gurpreet. Their ages add up to 60 years. How old is Gurpreet?
  11. 11.Solve: 5y + 19 = 49. What is y?
  12. 12.Solve: 5x + 27 = 37. What is x?
  13. 13.Solve: 5(x + 8) = 80. What is x?
  14. 14.Solve: m/4 + 2 = 6. What is m?
  15. 15.Solve: 3n + 9 = 12. What is n?
  16. 16.Solve: 8x + 25 = 89. What is x?
  17. 17.Ishaan is 5 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  18. 18.Solve: 5x − 12 = 8. What is x?
  19. 19.Solve: 7(y + 8) = 119. What is y?
  20. 20.Solve: 6x − 14 = 34. What is x?
  21. 21.Solve: p/8 + 14 = 15. What is p?
  22. 22.Solve: 9t + 2 = 110. What is t?
  23. 23.Arjun’s mother is twice as old as Arjun. Their ages add up to 45 years. How old is Arjun?
  24. 24.Solve: 9(x + 3) = 81. What is x?
  25. 25.Solve: 2(y + 4) = 34. What is y?
  26. 26.Solve: 2t + 28 = 30. What is t?
  27. 27.Solve: 8t + 10 = 90. What is t?
  28. 28.Solve: n/3 + 11 = 13. What is n?
  29. 29.Vivaan’s mother is twice as old as Vivaan. Their ages add up to 18 years. How old is Vivaan?
  30. 30.Tara is 6 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  31. 31.Solve: 7m + 3 = 80. What is m?
  32. 32.Nisha’s mother is twice as old as Nisha. Their ages add up to 12 years. How old is Nisha?
  33. 33.Solve: 2(m + 3) = 10. What is m?
  34. 34.Solve: 5y + 14 = 89. What is y?
  35. 35.Solve: 7y − 6 = 64. What is y?
  36. 36.Solve: 9t + 16 = 70. What is t?
  37. 37.Dev’s mother is twice as old as Dev. Their ages add up to 12 years. How old is Dev?
  38. 38.Solve: 2p + 13 = 39. What is p?
  39. 39.Solve: 3x − 8 = 4. What is x?
  40. 40.Solve: 5n + 6 = 21. What is n?

Answer key

  1. 14
  2. 84
  3. 1
  4. 1
  5. 15
  6. 14
  7. 11
  8. 10
  9. 1
  10. 12
  11. 6
  12. 2
  13. 8
  14. 16
  15. 1
  16. 8
  17. 7
  18. 4
  19. 9
  20. 8
  21. 8
  22. 12
  23. 15
  24. 6
  25. 13
  26. 1
  27. 10
  28. 6
  29. 6
  30. 6
  31. 11
  32. 4
  33. 2
  34. 15
  35. 10
  36. 6
  37. 4
  38. 13
  39. 4
  40. 3

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