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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 182 · 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 T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 29 letters?
  2. 2.Find the value of 7p − 5 when p = 5.
  3. 3.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
  4. 4.Solve: m ÷ 3 = 1. What is m?
  5. 5.Find the value of 3a + 4b when a = 10 and b = 7.
  6. 6.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 26 letters?
  7. 7.Find the value of 3x + 9 when x = 5.
  8. 8.Solve: y + 3 = 14. What is y?
  9. 9.Find the value of 5a + 6b when a = 7 and b = 1.
  10. 10.Find the value of 2a + 3b when a = 3 and b = 5.
  11. 11.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
  12. 12.Solve: y ÷ 3 = 16. What is y?
  13. 13.Solve: x ÷ 8 = 5. What is x?
  14. 14.Rohan has k balls. A friend has 6 more. Which expression shows how many balls the friend has? (a) 6k (b) k − 6 (c) k ÷ 6 (d) k + 6
  15. 15.Find the value of 8x + 8 when x = 2.
  16. 16.Find the value of 6x + 11 when x = 6.
  17. 17.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
  18. 18.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 17 letters?
  19. 19.Solve: m + 11 = 25. What is m?
  20. 20.Lakshmi shares p flowers equally among 9 friends. Which expression shows how many flowers each friend gets? (a) p + 9 (b) p − 9 (c) p ÷ 9 (d) 9p
  21. 21.Solve: t + 10 = 27. What is t?
  22. 22.Solve: 5x = 5. What is x?
  23. 23.Rohan has n bananas. A friend has 7 more. Which expression shows how many bananas the friend has? (a) n ÷ 7 (b) n − 7 (c) n + 7 (d) 7n
  24. 24.Aarav has p laddoos. A friend has 8 fewer. Which expression shows how many laddoos the friend has? (a) p + 8 (b) 8p (c) p − 8 (d) p ÷ 8
  25. 25.Solve: n + 8 = 25. What is n?
  26. 26.Find the value of 2y − 1 when y = 7.
  27. 27.Find the value of 9a + 7b when a = 3 and b = 2.
  28. 28.Find the value of 4m − 39 when m = 12.
  29. 29.Find the value of 2a + 4b when a = 1 and b = 5.
  30. 30.Find the value of 9a + 4b when a = 9 and b = 5.
  31. 31.Solve: m − 9 = 15. What is m?
  32. 32.Solve: n ÷ 12 = 16. What is n?
  33. 33.Find the value of 3a + 4b when a = 5 and b = 10.
  34. 34.Solve: y + 8 = 12. What is y?
  35. 35.Find the value of 2a + 7b when a = 1 and b = 1.
  36. 36.Ishaan has n pencils. A friend has 9 fewer. Which expression shows how many pencils the friend has? (a) n + 9 (b) 9n (c) n ÷ 9 (d) n − 9
  37. 37.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
  38. 38.Riya shares k mangoes equally among 8 friends. Which expression shows how many mangoes each friend gets? (a) k ÷ 8 (b) k − 8 (c) k + 8 (d) 8k
  39. 39.Find the value of 3a + 2b when a = 6 and b = 8.
  40. 40.Find the value of 5x + 4 when x = 2.

Answer key

  1. 58
  2. 30
  3. 14
  4. 3
  5. 58
  6. 104
  7. 24
  8. 11
  9. 41
  10. 21
  11. 45
  12. 48
  13. 40
  14. k + 6
  15. 24
  16. 47
  17. 63
  18. 51
  19. 14
  20. p ÷ 9
  21. 17
  22. 1
  23. n + 7
  24. p − 8
  25. 17
  26. 13
  27. 41
  28. 9
  29. 22
  30. 101
  31. 24
  32. 192
  33. 55
  34. 4
  35. 9
  36. n − 9
  37. 66
  38. k ÷ 8
  39. 34
  40. 14

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