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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 362 · 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.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
  2. 2.Find the value of 8n − 28 when n = 11.
  3. 3.Find the value of 9x − 18 when x = 3.
  4. 4.Find the value of 5p − 1 when p = 3.
  5. 5.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
  6. 6.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
  7. 7.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 16 letters?
  8. 8.Find the value of 7n + 18 when n = 2.
  9. 9.Ishaan has k shells. A friend has 9 more. Which expression shows how many shells the friend has? (a) 9k (b) k ÷ 9 (c) k − 9 (d) k + 9
  10. 10.Pooja has p balls. A friend has 3 more. Which expression shows how many balls the friend has? (a) 3p (b) p ÷ 3 (c) p + 3 (d) p − 3
  11. 11.Kabir has m marbles. A friend has 7 fewer. Which expression shows how many marbles the friend has? (a) 7m (b) m − 7 (c) m ÷ 7 (d) m + 7
  12. 12.Diya has k pencils. A friend has 9 fewer. Which expression shows how many pencils the friend has? (a) k + 9 (b) k ÷ 9 (c) 9k (d) k − 9
  13. 13.Find the value of 4y + 4 when y = 7.
  14. 14.Isha shares m balloons equally among 8 friends. Which expression shows how many balloons each friend gets? (a) m − 8 (b) m + 8 (c) m ÷ 8 (d) 8m
  15. 15.Vivaan has n flowers. A friend has 8 more. Which expression shows how many flowers the friend has? (a) n − 8 (b) 8n (c) n + 8 (d) n ÷ 8
  16. 16.Arjun has k laddoos. A friend has 4 more. Which expression shows how many laddoos the friend has? (a) k − 4 (b) 4k (c) k ÷ 4 (d) k + 4
  17. 17.Saanvi has n books. A friend has 9 fewer. Which expression shows how many books the friend has? (a) n ÷ 9 (b) n − 9 (c) n + 9 (d) 9n
  18. 18.Find the value of 3a + 3b when a = 2 and b = 5.
  19. 19.Solve: p + 10 = 26. What is p?
  20. 20.Solve: 3t = 27. What is t?
  21. 21.Find the value of 7x − 1 when x = 5.
  22. 22.Solve: m + 10 = 26. What is m?
  23. 23.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
  24. 24.Arjun has p kites. A friend has 6 times as many. Which expression shows how many kites the friend has? (a) p ÷ 6 (b) 6p (c) p − 6 (d) p + 6
  25. 25.Aarav has k books. A friend has 2 fewer. Which expression shows how many books the friend has? (a) k + 2 (b) k − 2 (c) 2k (d) k ÷ 2
  26. 26.Find the value of 9a + 5b when a = 2 and b = 3.
  27. 27.Lakshmi has n balls. A friend has 5 fewer. Which expression shows how many balls the friend has? (a) n + 5 (b) 5n (c) n ÷ 5 (d) n − 5
  28. 28.Solve: n + 2 = 6. What is n?
  29. 29.Rohan has p shells. A friend has 7 more. Which expression shows how many shells the friend has? (a) p ÷ 7 (b) p + 7 (c) 7p (d) p − 7
  30. 30.Find the value of 5t − 27 when t = 9.
  31. 31.Aarav has p crayons. A friend has 7 fewer. Which expression shows how many crayons the friend has? (a) p − 7 (b) p + 7 (c) 7p (d) p ÷ 7
  32. 32.Find the value of 5m − 23 when m = 9.
  33. 33.Find the value of 2a + 9b when a = 2 and b = 9.
  34. 34.Vivaan has k balloons. A friend has 9 more. Which expression shows how many balloons the friend has? (a) k + 9 (b) 9k (c) k ÷ 9 (d) k − 9
  35. 35.Solve: 10x = 110. What is x?
  36. 36.Aarav has n marbles. A friend has 4 fewer. Which expression shows how many marbles the friend has? (a) n − 4 (b) n ÷ 4 (c) n + 4 (d) 4n
  37. 37.Solve: n + 2 = 19. What is n?
  38. 38.Diya has m bananas. A friend has 3 fewer. Which expression shows how many bananas the friend has? (a) 3m (b) m − 3 (c) m + 3 (d) m ÷ 3
  39. 39.Zoya has m flowers. A friend has 4 times as many. Which expression shows how many flowers the friend has? (a) m − 4 (b) m ÷ 4 (c) m + 4 (d) 4m
  40. 40.Find the value of 9a + 4b when a = 6 and b = 4.

Answer key

  1. 21
  2. 60
  3. 9
  4. 14
  5. 69
  6. 22
  7. 48
  8. 32
  9. k + 9
  10. p + 3
  11. m − 7
  12. k − 9
  13. 32
  14. m ÷ 8
  15. n + 8
  16. k + 4
  17. n − 9
  18. 21
  19. 16
  20. 9
  21. 34
  22. 16
  23. 18
  24. 6p
  25. k − 2
  26. 33
  27. n − 5
  28. 4
  29. p + 7
  30. 18
  31. p − 7
  32. 22
  33. 85
  34. k + 9
  35. 11
  36. n − 4
  37. 17
  38. m − 3
  39. 4m
  40. 70

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