← Algebra: expressions and simple equations lesson New set →

Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 458 · 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.Find the value of 9a + 4b when a = 8 and b = 7.
  2. 2.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
  3. 3.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
  4. 4.Find the value of 9a + 9b when a = 4 and b = 5.
  5. 5.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
  6. 6.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 12 letters?
  7. 7.Dev has p balloons. A friend has 8 more. Which expression shows how many balloons the friend has? (a) 8p (b) p ÷ 8 (c) p + 8 (d) p − 8
  8. 8.Find the value of 4x − 2 when x = 3.
  9. 9.Find the value of 2y + 17 when y = 10.
  10. 10.Isha shares n balloons equally among 7 friends. Which expression shows how many balloons each friend gets? (a) n + 7 (b) n − 7 (c) 7n (d) n ÷ 7
  11. 11.Nisha has n laddoos. A friend has 8 more. Which expression shows how many laddoos the friend has? (a) 8n (b) n ÷ 8 (c) n + 8 (d) n − 8
  12. 12.Find the value of 6p + 1 when p = 2.
  13. 13.Solve: p ÷ 4 = 4. What is p?
  14. 14.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 13 letters?
  15. 15.Solve: 7m = 77. What is m?
  16. 16.Find the value of 6a + 8b when a = 5 and b = 8.
  17. 17.Find the value of 4t + 7 when t = 9.
  18. 18.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 17 letters?
  19. 19.Rohan has n shells. A friend has 6 more. Which expression shows how many shells the friend has? (a) n + 6 (b) n − 6 (c) 6n (d) n ÷ 6
  20. 20.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
  21. 21.Farhan has m balls. A friend has 4 fewer. Which expression shows how many balls the friend has? (a) m − 4 (b) 4m (c) m + 4 (d) m ÷ 4
  22. 22.Find the value of 9t + 5 when t = 2.
  23. 23.Find the value of 6a + 7b when a = 10 and b = 2.
  24. 24.Find the value of 3y − 13 when y = 6.
  25. 25.Find the value of 9x − 66 when x = 11.
  26. 26.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 22 letters?
  27. 27.Meera has k balloons. A friend has 8 more. Which expression shows how many balloons the friend has? (a) 8k (b) k − 8 (c) k ÷ 8 (d) k + 8
  28. 28.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
  29. 29.Find the value of 6p − 11 when p = 7.
  30. 30.Solve: t + 10 = 13. What is t?
  31. 31.Find the value of 3m + 17 when m = 8.
  32. 32.Saanvi has n pencils. A friend has 7 times as many. Which expression shows how many pencils the friend has? (a) n ÷ 7 (b) n + 7 (c) 7n (d) n − 7
  33. 33.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
  34. 34.Sneha has p books. A friend has 3 more. Which expression shows how many books the friend has? (a) 3p (b) p + 3 (c) p − 3 (d) p ÷ 3
  35. 35.Find the value of 5a + 6b when a = 3 and b = 3.
  36. 36.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
  37. 37.Find the value of 7a + 8b when a = 3 and b = 4.
  38. 38.Find the value of 2a + 7b when a = 3 and b = 1.
  39. 39.Farhan has k balls. A friend has 2 fewer. Which expression shows how many balls the friend has? (a) k − 2 (b) k + 2 (c) k ÷ 2 (d) 2k
  40. 40.Find the value of 5a + 9b when a = 6 and b = 9.

Answer key

  1. 100
  2. 22
  3. 21
  4. 81
  5. 16
  6. 48
  7. p + 8
  8. 10
  9. 37
  10. n ÷ 7
  11. n + 8
  12. 13
  13. 16
  14. 26
  15. 11
  16. 94
  17. 43
  18. 51
  19. n + 6
  20. 66
  21. m − 4
  22. 23
  23. 74
  24. 5
  25. 33
  26. 44
  27. k + 8
  28. 30
  29. 31
  30. 3
  31. 41
  32. 7n
  33. 33
  34. p + 3
  35. 33
  36. 57
  37. 53
  38. 13
  39. k − 2
  40. 111

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