← Simple equations lesson New set →

Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 590 · 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.Zoya thinks of a number, multiplies it by 7 and then adds 20. The result is 104. What is the number?
  2. 2.Solve: 5(p + 6) = 45. What is p?
  3. 3.Solve: 4(x + 2) = 44. What is x?
  4. 4.Solve: n/4 + 12 = 16. What is n?
  5. 5.Solve: y/7 + 4 = 11. What is y?
  6. 6.Vivaan’s mother is three times as old as Vivaan. Their ages add up to 16 years. How old is Vivaan?
  7. 7.Solve: 7(y + 1) = 28. What is y?
  8. 8.Solve: 8n − 13 = 35. What is n?
  9. 9.Solve: 3x − 5 = 10. What is x?
  10. 10.Solve: t/4 + 12 = 15. What is t?
  11. 11.Solve: 3x − 17 = 28. What is x?
  12. 12.Solve: 8y + 24 = 120. What is y?
  13. 13.Solve: n/5 + 14 = 22. What is n?
  14. 14.Solve: 9t + 25 = 106. What is t?
  15. 15.Solve: 2(y + 1) = 10. What is y?
  16. 16.Solve: 4x − 11 = 21. What is x?
  17. 17.Solve: 9x + 1 = 64. What is x?
  18. 18.Solve: x/2 + 2 = 12. What is x?
  19. 19.Arjun’s mother is twice as old as Arjun. Their ages add up to 39 years. How old is Arjun?
  20. 20.Solve: 5y − 24 = 36. What is y?
  21. 21.Arjun is 6 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  22. 22.Solve: 7x − 12 = 44. What is x?
  23. 23.Solve: x/5 + 11 = 19. What is x?
  24. 24.Solve: 3(p + 1) = 39. What is p?
  25. 25.Joseph’s mother is three times as old as Joseph. Their ages add up to 32 years. How old is Joseph?
  26. 26.Solve: 6(m + 1) = 12. What is m?
  27. 27.Solve: 3y + 10 = 31. What is y?
  28. 28.Solve: 7t − 20 = 43. What is t?
  29. 29.Solve: 3t + 25 = 31. What is t?
  30. 30.Solve: 8x + 18 = 90. What is x?
  31. 31.Solve: n/8 + 5 = 19. What is n?
  32. 32.Solve: 9t + 3 = 66. What is t?
  33. 33.Solve: 8(y + 1) = 48. What is y?
  34. 34.Vivaan thinks of a number, multiplies it by 5 and then adds 20. The result is 25. What is the number?
  35. 35.Solve: 8m + 2 = 26. What is m?
  36. 36.Solve: 5y − 5 = 65. What is y?
  37. 37.Gurpreet is 6 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  38. 38.Kavya’s mother is twice as old as Kavya. Their ages add up to 21 years. How old is Kavya?
  39. 39.Solve: 2(m + 1) = 14. What is m?
  40. 40.Solve: 7x + 12 = 103. What is x?

Answer key

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

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