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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 136 · 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.Kavya shares k mangoes equally among 2 friends. Which expression shows how many mangoes each friend gets? (a) 2k (b) k ÷ 2 (c) k − 2 (d) k + 2
  2. 2.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?
  3. 3.Find the value of 5y − 1 when y = 7.
  4. 4.Find the value of 4a + 5b when a = 10 and b = 6.
  5. 5.Lakshmi has p crayons. A friend has 6 times as many. Which expression shows how many crayons the friend has? (a) p − 6 (b) p + 6 (c) 6p (d) p ÷ 6
  6. 6.Find the value of 2a + 2b when a = 1 and b = 10.
  7. 7.Nisha has m balls. A friend has 6 more. Which expression shows how many balls the friend has? (a) m − 6 (b) 6m (c) m ÷ 6 (d) m + 6
  8. 8.Find the value of 6a + 2b when a = 2 and b = 9.
  9. 9.Find the value of 2m − 2 when m = 7.
  10. 10.Find the value of 3x + 1 when x = 10.
  11. 11.Find the value of 3p + 6 when p = 7.
  12. 12.Find the value of 9a + 9b when a = 9 and b = 3.
  13. 13.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 20 letters?
  14. 14.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 29 letters?
  15. 15.Sneha 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) p ÷ 3 (d) 3p
  16. 16.Lakshmi has p kites. A friend has 8 fewer. Which expression shows how many kites the friend has? (a) p + 8 (b) 8p (c) p − 8 (d) p ÷ 8
  17. 17.Find the value of 3x − 17 when x = 6.
  18. 18.Solve: 10t = 60. What is t?
  19. 19.Find the value of 6y − 5 when y = 2.
  20. 20.Arjun has m shells. A friend has 7 times as many. Which expression shows how many shells the friend has? (a) m − 7 (b) m ÷ 7 (c) m + 7 (d) 7m
  21. 21.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
  22. 22.Saanvi has m pencils. A friend has 9 times as many. Which expression shows how many pencils the friend has? (a) m − 9 (b) 9m (c) m + 9 (d) m ÷ 9
  23. 23.Find the value of 4a + 3b when a = 10 and b = 10.
  24. 24.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 11 letters?
  25. 25.Find the value of 8a + 3b when a = 7 and b = 10.
  26. 26.Find the value of 3a + 9b when a = 1 and b = 6.
  27. 27.Solve: x + 9 = 20. What is x?
  28. 28.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
  29. 29.Dev shares p shells equally among 5 friends. Which expression shows how many shells each friend gets? (a) p ÷ 5 (b) 5p (c) p + 5 (d) p − 5
  30. 30.Find the value of 7y − 34 when y = 8.
  31. 31.Aarav has m balls. A friend has 3 fewer. Which expression shows how many balls the friend has? (a) m ÷ 3 (b) 3m (c) m + 3 (d) m − 3
  32. 32.Find the value of 9y − 48 when y = 7.
  33. 33.Solve: x − 6 = 4. What is x?
  34. 34.Solve: m ÷ 2 = 3. What is m?
  35. 35.Isha has n bananas. A friend has 8 times as many. Which expression shows how many bananas the friend has? (a) 8n (b) n ÷ 8 (c) n − 8 (d) n + 8
  36. 36.Solve: y − 9 = 4. What is y?
  37. 37.Farhan shares n balloons equally among 7 friends. Which expression shows how many balloons each friend gets? (a) n − 7 (b) 7n (c) n + 7 (d) n ÷ 7
  38. 38.Solve: 9m = 18. What is m?
  39. 39.Ananya has k shells. A friend has 3 fewer. Which expression shows how many shells the friend has? (a) k ÷ 3 (b) 3k (c) k + 3 (d) k − 3
  40. 40.Find the value of 7y − 32 when y = 11.

Answer key

  1. k ÷ 2
  2. 42
  3. 34
  4. 70
  5. 6p
  6. 22
  7. m + 6
  8. 30
  9. 12
  10. 31
  11. 27
  12. 108
  13. 40
  14. 87
  15. 3p
  16. p − 8
  17. 1
  18. 6
  19. 7
  20. 7m
  21. 57
  22. 9m
  23. 70
  24. 44
  25. 86
  26. 57
  27. 11
  28. 56
  29. p ÷ 5
  30. 22
  31. m − 3
  32. 15
  33. 10
  34. 6
  35. 8n
  36. 13
  37. n ÷ 7
  38. 2
  39. k − 3
  40. 45

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