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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 619 · 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.Tara has m mangoes. A friend has 5 more. Which expression shows how many mangoes the friend has? (a) m − 5 (b) m ÷ 5 (c) m + 5 (d) 5m
  2. 2.Solve: y − 5 = 5. What is y?
  3. 3.Find the value of 7a + 4b when a = 3 and b = 1.
  4. 4.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 11 letters?
  5. 5.Solve: 6n = 78. What is n?
  6. 6.Solve: m ÷ 9 = 3. What is m?
  7. 7.Find the value of 8a + 4b when a = 6 and b = 7.
  8. 8.Find the value of 9m − 2 when m = 1.
  9. 9.Find the value of 4y + 20 when y = 6.
  10. 10.Find the value of 2x + 8 when x = 6.
  11. 11.Find the value of 3a + 6b when a = 2 and b = 10.
  12. 12.Solve: m − 3 = 4. What is m?
  13. 13.Joseph shares n mangoes equally among 8 friends. Which expression shows how many mangoes each friend gets? (a) n ÷ 8 (b) n − 8 (c) n + 8 (d) 8n
  14. 14.Farhan has n laddoos. A friend has 8 fewer. Which expression shows how many laddoos the friend has? (a) n − 8 (b) n + 8 (c) 8n (d) n ÷ 8
  15. 15.Ananya shares p mangoes equally among 5 friends. Which expression shows how many mangoes each friend gets? (a) p + 5 (b) 5p (c) p ÷ 5 (d) p − 5
  16. 16.Find the value of 8t − 28 when t = 5.
  17. 17.Solve: m ÷ 6 = 16. What is m?
  18. 18.Solve: t ÷ 4 = 7. What is t?
  19. 19.Riya has m shells. A friend has 5 more. Which expression shows how many shells the friend has? (a) m ÷ 5 (b) 5m (c) m − 5 (d) m + 5
  20. 20.Find the value of 9a + 2b when a = 1 and b = 6.
  21. 21.Solve: p − 12 = 10. What is p?
  22. 22.Aarav shares p pencils equally among 2 friends. Which expression shows how many pencils each friend gets? (a) p − 2 (b) p ÷ 2 (c) 2p (d) p + 2
  23. 23.Manav has k books. A friend has 2 fewer. Which expression shows how many books the friend has? (a) 2k (b) k ÷ 2 (c) k + 2 (d) k − 2
  24. 24.Manav has p mangoes. A friend has 8 times as many. Which expression shows how many mangoes the friend has? (a) p + 8 (b) p − 8 (c) 8p (d) p ÷ 8
  25. 25.Find the value of 4a + 3b when a = 10 and b = 10.
  26. 26.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
  27. 27.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 30 letters?
  28. 28.Rohan has n shells. A friend has 8 fewer. Which expression shows how many shells the friend has? (a) n + 8 (b) n − 8 (c) 8n (d) n ÷ 8
  29. 29.Find the value of 7a + 6b when a = 1 and b = 9.
  30. 30.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
  31. 31.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 17 letters?
  32. 32.Solve: p ÷ 2 = 17. What is p?
  33. 33.Riya shares m flowers equally among 9 friends. Which expression shows how many flowers each friend gets? (a) m + 9 (b) m ÷ 9 (c) m − 9 (d) 9m
  34. 34.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 19 letters?
  35. 35.Find the value of 3a + 8b when a = 6 and b = 1.
  36. 36.Find the value of 8t + 18 when t = 6.
  37. 37.Lakshmi has n flowers. A friend has 7 fewer. Which expression shows how many flowers the friend has? (a) n + 7 (b) n ÷ 7 (c) 7n (d) n − 7
  38. 38.Joseph shares k balls equally among 8 friends. Which expression shows how many balls each friend gets? (a) k ÷ 8 (b) 8k (c) k + 8 (d) k − 8
  39. 39.Solve: 4y = 16. What is y?
  40. 40.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?

Answer key

  1. m + 5
  2. 10
  3. 25
  4. 44
  5. 13
  6. 27
  7. 76
  8. 7
  9. 44
  10. 20
  11. 66
  12. 7
  13. n ÷ 8
  14. n − 8
  15. p ÷ 5
  16. 12
  17. 96
  18. 28
  19. m + 5
  20. 21
  21. 22
  22. p ÷ 2
  23. k − 2
  24. 8p
  25. 70
  26. 33
  27. 120
  28. n − 8
  29. 61
  30. 63
  31. 34
  32. 34
  33. m ÷ 9
  34. 76
  35. 26
  36. 66
  37. n − 7
  38. k ÷ 8
  39. 4
  40. 15

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