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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 191 · 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.

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  1. 1.Find the value of 5a + 7b when a = 1 and b = 9.
  2. 2.Riya has p bananas. A friend has 3 times as many. Which expression shows how many bananas the friend has? (a) p − 3 (b) p ÷ 3 (c) 3p (d) p + 3
  3. 3.Find the value of 9n + 7 when n = 5.
  4. 4.Manav shares m marbles equally among 4 friends. Which expression shows how many marbles each friend gets? (a) m ÷ 4 (b) m + 4 (c) 4m (d) m − 4
  5. 5.Find the value of 4a + 3b when a = 1 and b = 9.
  6. 6.Solve: n + 9 = 14. What is n?
  7. 7.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
  8. 8.Manav has n flowers. A friend has 6 times as many. Which expression shows how many flowers the friend has? (a) n ÷ 6 (b) 6n (c) n + 6 (d) n − 6
  9. 9.Find the value of 5y − 3 when y = 12.
  10. 10.Find the value of 3x − 9 when x = 4.
  11. 11.Find the value of 8m + 3 when m = 3.
  12. 12.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
  13. 13.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
  14. 14.Rohan has k pencils. A friend has 4 times as many. Which expression shows how many pencils the friend has? (a) 4k (b) k + 4 (c) k − 4 (d) k ÷ 4
  15. 15.Find the value of 6y + 16 when y = 11.
  16. 16.Find the value of 2a + 3b when a = 9 and b = 2.
  17. 17.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 21 letters?
  18. 18.Find the value of 9y − 2 when y = 1.
  19. 19.Joseph has k balloons. A friend has 6 more. Which expression shows how many balloons the friend has? (a) k + 6 (b) 6k (c) k ÷ 6 (d) k − 6
  20. 20.Solve: m + 6 = 15. What is m?
  21. 21.Ishaan has k laddoos. A friend has 5 more. Which expression shows how many laddoos the friend has? (a) 5k (b) k − 5 (c) k + 5 (d) k ÷ 5
  22. 22.Solve: n − 5 = 20. What is n?
  23. 23.Find the value of 7a + 2b when a = 8 and b = 1.
  24. 24.Solve: x ÷ 3 = 9. What is x?
  25. 25.Find the value of 5a + 2b when a = 10 and b = 1.
  26. 26.Sneha has m kites. A friend has 3 more. Which expression shows how many kites the friend has? (a) m − 3 (b) 3m (c) m ÷ 3 (d) m + 3
  27. 27.Nisha has p balloons. A friend has 7 fewer. Which expression shows how many balloons the friend has? (a) p − 7 (b) p + 7 (c) p ÷ 7 (d) 7p
  28. 28.Solve: m ÷ 8 = 7. What is m?
  29. 29.Find the value of 2t + 1 when t = 7.
  30. 30.Solve: 5x = 40. What is x?
  31. 31.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
  32. 32.Find the value of 5a + 5b when a = 2 and b = 4.
  33. 33.Find the value of 9n + 17 when n = 11.
  34. 34.Kabir has m balloons. A friend has 9 more. Which expression shows how many balloons the friend has? (a) 9m (b) m − 9 (c) m + 9 (d) m ÷ 9
  35. 35.Dev has m balls. A friend has 3 more. Which expression shows how many balls the friend has? (a) m ÷ 3 (b) m − 3 (c) m + 3 (d) 3m
  36. 36.Arjun has m pencils. A friend has 2 more. Which expression shows how many pencils the friend has? (a) m + 2 (b) 2m (c) m − 2 (d) m ÷ 2
  37. 37.Find the value of 8a + 7b when a = 5 and b = 9.
  38. 38.Riya has k balloons. A friend has 4 times as many. Which expression shows how many balloons the friend has? (a) k + 4 (b) k ÷ 4 (c) 4k (d) k − 4
  39. 39.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 27 letters?
  40. 40.Find the value of 9a + 6b when a = 1 and b = 1.

Answer key

  1. 68
  2. 3p
  3. 52
  4. m ÷ 4
  5. 31
  6. 5
  7. 72
  8. 6n
  9. 57
  10. 3
  11. 27
  12. 18
  13. 36
  14. 4k
  15. 82
  16. 24
  17. 84
  18. 7
  19. k + 6
  20. 9
  21. k + 5
  22. 25
  23. 58
  24. 27
  25. 52
  26. m + 3
  27. p − 7
  28. 56
  29. 15
  30. 8
  31. 27
  32. 30
  33. 116
  34. m + 9
  35. m + 3
  36. m + 2
  37. 103
  38. 4k
  39. 54
  40. 15

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