← Algebra: expressions and simple equations lesson New set →

Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 51 · 40 sums
TalentJR

The method (Keep the balance): 3x means 3 × x. "5 more" → + 5, "5 fewer" → − 5, "5 times" → 5n, "shared among 5" → n ÷ 5. Value of an expression: put the number in place of the letter, then work it out — 3x + 5 when x = 4 is 12 + 5 = 17. Solve x + a = b by taking a from both sides; x − a = b by adding a; ax = b by dividing by a; x ÷ a = b by multiplying by a. Check by putting your answer back into the equation.

NameDateTime takenScore ___ / 40
  1. 1.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 29 letters?
  2. 2.Aditya shares p shells equally among 4 friends. Which expression shows how many shells each friend gets? (a) p ÷ 4 (b) p − 4 (c) p + 4 (d) 4p
  3. 3.Solve: 7x = 84. What is x?
  4. 4.Find the value of 8a + 4b when a = 2 and b = 1.
  5. 5.Find the value of 8a + 4b when a = 3 and b = 4.
  6. 6.Find the value of 5y − 1 when y = 2.
  7. 7.Find the value of 9a + 3b when a = 9 and b = 8.
  8. 8.Find the value of 9p + 9 when p = 3.
  9. 9.Solve: y + 11 = 20. What is y?
  10. 10.Aditya shares m flowers equally among 4 friends. Which expression shows how many flowers each friend gets? (a) 4m (b) m ÷ 4 (c) m − 4 (d) m + 4
  11. 11.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
  12. 12.Find the value of 9t − 53 when t = 6.
  13. 13.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 27 letters?
  14. 14.Solve: 3x = 15. What is x?
  15. 15.Find the value of 4t + 1 when t = 6.
  16. 16.Find the value of 3p + 4 when p = 7.
  17. 17.Pooja shares n shells equally among 2 friends. Which expression shows how many shells each friend gets? (a) n + 2 (b) n − 2 (c) 2n (d) n ÷ 2
  18. 18.Solve: t + 9 = 20. What is t?
  19. 19.Solve: m + 6 = 24. What is m?
  20. 20.Find the value of 5m + 20 when m = 5.
  21. 21.Solve: m + 12 = 15. What is m?
  22. 22.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 28 letters?
  23. 23.Solve: p ÷ 4 = 19. What is p?
  24. 24.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
  25. 25.Find the value of 3x + 13 when x = 1.
  26. 26.Solve: x − 6 = 14. What is x?
  27. 27.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
  28. 28.Find the value of 5x + 16 when x = 1.
  29. 29.Find the value of 5p + 19 when p = 8.
  30. 30.Ananya shares m marbles equally among 6 friends. Which expression shows how many marbles each friend gets? (a) m + 6 (b) 6m (c) m − 6 (d) m ÷ 6
  31. 31.Solve: y + 8 = 14. What is y?
  32. 32.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 24 letters?
  33. 33.Find the value of 4y + 16 when y = 1.
  34. 34.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
  35. 35.Solve: y ÷ 2 = 10. What is y?
  36. 36.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
  37. 37.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 30 letters?
  38. 38.Find the value of 5t − 33 when t = 7.
  39. 39.Solve: p + 12 = 16. What is p?
  40. 40.Find the value of 6x + 16 when x = 2.

Answer key

  1. 58
  2. p ÷ 4
  3. 12
  4. 20
  5. 40
  6. 9
  7. 105
  8. 36
  9. 9
  10. m ÷ 4
  11. 28
  12. 1
  13. 54
  14. 5
  15. 25
  16. 25
  17. n ÷ 2
  18. 11
  19. 18
  20. 45
  21. 3
  22. 84
  23. 76
  24. 27
  25. 16
  26. 20
  27. 24
  28. 21
  29. 59
  30. m ÷ 6
  31. 6
  32. 48
  33. 20
  34. 57
  35. 20
  36. 18
  37. 60
  38. 2
  39. 4
  40. 28

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