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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 536 · 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 C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 29 letters?
  2. 2.Find the value of 5m − 4 when m = 3.
  3. 3.Find the value of 2a + 7b when a = 4 and b = 9.
  4. 4.Meera has p bananas. A friend has 8 more. Which expression shows how many bananas the friend has? (a) p + 8 (b) p − 8 (c) p ÷ 8 (d) 8p
  5. 5.Solve: n + 8 = 18. What is n?
  6. 6.Solve: 2t = 36. What is t?
  7. 7.Find the value of 6x − 27 when x = 8.
  8. 8.Find the value of 7n − 12 when n = 2.
  9. 9.Lakshmi has n balloons. A friend has 8 fewer. Which expression shows how many balloons the friend has? (a) 8n (b) n ÷ 8 (c) n + 8 (d) n − 8
  10. 10.Find the value of 6n − 45 when n = 9.
  11. 11.Find the value of 7a + 4b when a = 10 and b = 2.
  12. 12.Find the value of 8a + 9b when a = 8 and b = 3.
  13. 13.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
  14. 14.Find the value of 9a + 7b when a = 9 and b = 3.
  15. 15.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 30 letters?
  16. 16.Solve: 8t = 96. What is t?
  17. 17.Find the value of 6a + 6b when a = 8 and b = 4.
  18. 18.Find the value of 9n − 22 when n = 4.
  19. 19.Solve: p + 7 = 15. What is p?
  20. 20.Find the value of 7t − 16 when t = 3.
  21. 21.Solve: p + 11 = 31. What is p?
  22. 22.Find the value of 4y − 9 when y = 4.
  23. 23.Dev has n balls. A friend has 7 more. Which expression shows how many balls the friend has? (a) 7n (b) n ÷ 7 (c) n − 7 (d) n + 7
  24. 24.Find the value of 2a + 8b when a = 8 and b = 2.
  25. 25.Diya has m balloons. A friend has 2 times as many. Which expression shows how many balloons the friend has? (a) 2m (b) m ÷ 2 (c) m − 2 (d) m + 2
  26. 26.Find the value of 7y + 14 when y = 9.
  27. 27.Solve: n − 11 = 1. What is n?
  28. 28.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
  29. 29.Find the value of 3t + 18 when t = 4.
  30. 30.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
  31. 31.Find the value of 4y + 2 when y = 6.
  32. 32.Solve: t − 10 = 14. What is t?
  33. 33.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 19 letters?
  34. 34.Find the value of 6a + 4b when a = 10 and b = 4.
  35. 35.Farhan has n marbles. A friend has 8 fewer. Which expression shows how many marbles the friend has? (a) n + 8 (b) n ÷ 8 (c) 8n (d) n − 8
  36. 36.Find the value of 6y − 6 when y = 12.
  37. 37.Sneha has m shells. A friend has 9 times as many. Which expression shows how many shells the friend has? (a) m ÷ 9 (b) 9m (c) m + 9 (d) m − 9
  38. 38.Solve: 2t = 4. What is t?
  39. 39.Solve: n + 10 = 13. What is n?
  40. 40.Gurpreet has m marbles. A friend has 4 times as many. Which expression shows how many marbles the friend has? (a) m − 4 (b) 4m (c) m + 4 (d) m ÷ 4

Answer key

  1. 87
  2. 11
  3. 71
  4. p + 8
  5. 10
  6. 18
  7. 21
  8. 2
  9. n − 8
  10. 9
  11. 78
  12. 91
  13. 12
  14. 102
  15. 90
  16. 12
  17. 72
  18. 14
  19. 8
  20. 5
  21. 20
  22. 7
  23. n + 7
  24. 32
  25. 2m
  26. 77
  27. 12
  28. 21
  29. 30
  30. 18
  31. 26
  32. 24
  33. 38
  34. 76
  35. n − 8
  36. 66
  37. 9m
  38. 2
  39. 3
  40. 4m

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