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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 264 · 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 2n + 3 when n = 3.
  2. 2.Solve: m + 3 = 7. What is m?
  3. 3.Vivaan has k balls. A friend has 3 times as many. Which expression shows how many balls the friend has? (a) k + 3 (b) k − 3 (c) k ÷ 3 (d) 3k
  4. 4.Solve: 7y = 7. What is y?
  5. 5.Find the value of 6m + 16 when m = 6.
  6. 6.Solve: m ÷ 12 = 13. What is m?
  7. 7.Find the value of 8a + 3b when a = 4 and b = 9.
  8. 8.Find the value of 3a + 4b when a = 2 and b = 3.
  9. 9.Karan has k mangoes. A friend has 7 fewer. Which expression shows how many mangoes the friend has? (a) k ÷ 7 (b) k − 7 (c) k + 7 (d) 7k
  10. 10.Find the value of 2x − 5 when x = 7.
  11. 11.Find the value of 3x + 18 when x = 4.
  12. 12.Find the value of 3p + 10 when p = 11.
  13. 13.Rahul has k balloons. A friend has 3 more. Which expression shows how many balloons the friend has? (a) k − 3 (b) 3k (c) k ÷ 3 (d) k + 3
  14. 14.Find the value of 7t + 4 when t = 12.
  15. 15.Riya shares m flowers equally among 7 friends. Which expression shows how many flowers each friend gets? (a) m − 7 (b) m + 7 (c) 7m (d) m ÷ 7
  16. 16.Find the value of 9p − 2 when p = 8.
  17. 17.Aarav has n balls. A friend has 2 more. Which expression shows how many balls the friend has? (a) 2n (b) n ÷ 2 (c) n − 2 (d) n + 2
  18. 18.Find the value of 8x + 1 when x = 2.
  19. 19.Solve: p − 3 = 5. What is p?
  20. 20.Solve: x + 9 = 16. What is x?
  21. 21.Find the value of 3n + 6 when n = 1.
  22. 22.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 10 letters?
  23. 23.Aarav has p shells. A friend has 6 fewer. Which expression shows how many shells the friend has? (a) p − 6 (b) p + 6 (c) p ÷ 6 (d) 6p
  24. 24.Find the value of 9a + 9b when a = 3 and b = 9.
  25. 25.Find the value of 2p + 17 when p = 8.
  26. 26.Find the value of 3n − 18 when n = 8.
  27. 27.Find the value of 8x + 9 when x = 9.
  28. 28.Find the value of 4n − 7 when n = 9.
  29. 29.Find the value of 5t + 12 when t = 9.
  30. 30.Solve: x + 6 = 19. What is x?
  31. 31.Find the value of 4y + 1 when y = 9.
  32. 32.Dev shares p books equally among 3 friends. Which expression shows how many books each friend gets? (a) 3p (b) p ÷ 3 (c) p + 3 (d) p − 3
  33. 33.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 16 letters?
  34. 34.Nisha has k mangoes. A friend has 3 more. Which expression shows how many mangoes the friend has? (a) 3k (b) k − 3 (c) k + 3 (d) k ÷ 3
  35. 35.Find the value of 6p + 19 when p = 9.
  36. 36.Priya has m flowers. A friend has 8 fewer. Which expression shows how many flowers the friend has? (a) m − 8 (b) m + 8 (c) m ÷ 8 (d) 8m
  37. 37.Meera has m balls. A friend has 4 times as many. Which expression shows how many balls the friend has? (a) m ÷ 4 (b) m − 4 (c) m + 4 (d) 4m
  38. 38.Solve: 10x = 20. What is x?
  39. 39.Solve: 8n = 128. What is n?
  40. 40.Find the value of 8x + 8 when x = 3.

Answer key

  1. 9
  2. 4
  3. 3k
  4. 1
  5. 52
  6. 156
  7. 59
  8. 18
  9. k − 7
  10. 9
  11. 30
  12. 43
  13. k + 3
  14. 88
  15. m ÷ 7
  16. 70
  17. n + 2
  18. 17
  19. 8
  20. 7
  21. 9
  22. 40
  23. p − 6
  24. 108
  25. 33
  26. 6
  27. 81
  28. 29
  29. 57
  30. 13
  31. 37
  32. p ÷ 3
  33. 32
  34. k + 3
  35. 73
  36. m − 8
  37. 4m
  38. 2
  39. 16
  40. 32

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