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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 449 · 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 7a + 3b when a = 1 and b = 2.
  2. 2.Solve: 12n = 144. What is n?
  3. 3.Kabir has k kites. A friend has 2 times as many. Which expression shows how many kites the friend has? (a) 2k (b) k − 2 (c) k + 2 (d) k ÷ 2
  4. 4.Find the value of 7a + 3b when a = 1 and b = 10.
  5. 5.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
  6. 6.Find the value of 4t + 20 when t = 4.
  7. 7.Solve: 6n = 18. What is n?
  8. 8.Zoya has k pencils. A friend has 6 times as many. Which expression shows how many pencils the friend has? (a) k − 6 (b) k ÷ 6 (c) 6k (d) k + 6
  9. 9.Lakshmi has m mangoes. A friend has 4 fewer. Which expression shows how many mangoes the friend has? (a) m + 4 (b) m − 4 (c) 4m (d) m ÷ 4
  10. 10.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 20 letters?
  11. 11.Find the value of 9p − 5 when p = 1.
  12. 12.Find the value of 3m − 29 when m = 10.
  13. 13.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 16 letters?
  14. 14.Saanvi has k balls. A friend has 7 fewer. Which expression shows how many balls the friend has? (a) 7k (b) k − 7 (c) k + 7 (d) k ÷ 7
  15. 15.Find the value of 3a + 7b when a = 4 and b = 7.
  16. 16.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
  17. 17.Find the value of 5y − 8 when y = 2.
  18. 18.Pooja has m pencils. A friend has 3 more. Which expression shows how many pencils the friend has? (a) m − 3 (b) m ÷ 3 (c) 3m (d) m + 3
  19. 19.Find the value of 8x − 79 when x = 10.
  20. 20.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 29 letters?
  21. 21.Find the value of 9t + 20 when t = 6.
  22. 22.Find the value of 7a + 6b when a = 10 and b = 9.
  23. 23.Find the value of 2a + 7b when a = 10 and b = 6.
  24. 24.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
  25. 25.Rahul has n kites. A friend has 5 more. Which expression shows how many kites the friend has? (a) n ÷ 5 (b) 5n (c) n − 5 (d) n + 5
  26. 26.Nisha has n mangoes. A friend has 3 more. Which expression shows how many mangoes the friend has? (a) n − 3 (b) 3n (c) n + 3 (d) n ÷ 3
  27. 27.Find the value of 3x + 10 when x = 8.
  28. 28.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
  29. 29.Find the value of 5y − 6 when y = 12.
  30. 30.Find the value of 5a + 3b when a = 10 and b = 7.
  31. 31.Ishaan has n mangoes. A friend has 4 times as many. Which expression shows how many mangoes the friend has? (a) n + 4 (b) n ÷ 4 (c) 4n (d) n − 4
  32. 32.Nisha has m marbles. A friend has 7 fewer. Which expression shows how many marbles the friend has? (a) m + 7 (b) m ÷ 7 (c) 7m (d) m − 7
  33. 33.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
  34. 34.Solve: n ÷ 12 = 13. What is n?
  35. 35.Solve: 12n = 36. What is n?
  36. 36.Find the value of 8n − 47 when n = 7.
  37. 37.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 27 letters?
  38. 38.Find the value of 2a + 7b when a = 5 and b = 3.
  39. 39.Find the value of 6t + 20 when t = 10.
  40. 40.Riya has k pencils. A friend has 3 times as many. Which expression shows how many pencils the friend has? (a) k + 3 (b) k − 3 (c) 3k (d) k ÷ 3

Answer key

  1. 13
  2. 12
  3. 2k
  4. 37
  5. 75
  6. 36
  7. 3
  8. 6k
  9. m − 4
  10. 40
  11. 4
  12. 1
  13. 48
  14. k − 7
  15. 61
  16. 16
  17. 2
  18. m + 3
  19. 1
  20. 87
  21. 74
  22. 124
  23. 62
  24. 14
  25. n + 5
  26. n + 3
  27. 34
  28. 24
  29. 54
  30. 71
  31. 4n
  32. m − 7
  33. 27
  34. 156
  35. 3
  36. 9
  37. 81
  38. 31
  39. 80
  40. 3k

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