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Class 6 Maths Worksheet: Algebra

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

Answer key

  1. 72
  2. 19
  3. 20
  4. 86
  5. 69
  6. 39
  7. 42
  8. 18
  9. 23
  10. 18
  11. n − 4
  12. m ÷ 7
  13. 26
  14. 63
  15. 24
  16. m ÷ 8
  17. 2p
  18. 55
  19. 26
  20. n + 2
  21. p ÷ 6
  22. 120
  23. 24
  24. 56
  25. 84
  26. 3
  27. 33
  28. 6
  29. 38
  30. m + 4
  31. 4n
  32. 52
  33. n ÷ 9
  34. 23
  35. 19
  36. 52
  37. 4
  38. 75
  39. n ÷ 9
  40. 11

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