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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 432 · 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.Solve: x ÷ 5 = 5. What is x?
  2. 2.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 17 letters?
  3. 3.Ananya has n kites. A friend has 4 times as many. Which expression shows how many kites the friend has? (a) 4n (b) n + 4 (c) n − 4 (d) n ÷ 4
  4. 4.Solve: y ÷ 8 = 18. What is y?
  5. 5.Solve: p + 7 = 20. What is p?
  6. 6.Solve: y ÷ 4 = 5. What is y?
  7. 7.Find the value of 5m − 30 when m = 9.
  8. 8.Find the value of 3a + 7b when a = 4 and b = 3.
  9. 9.Find the value of 8a + 3b when a = 3 and b = 5.
  10. 10.Aarav has n marbles. A friend has 6 times as many. Which expression shows how many marbles the friend has? (a) n − 6 (b) n ÷ 6 (c) n + 6 (d) 6n
  11. 11.Pooja has n balls. A friend has 4 fewer. Which expression shows how many balls the friend has? (a) n − 4 (b) n ÷ 4 (c) n + 4 (d) 4n
  12. 12.Find the value of 5a + 7b when a = 9 and b = 7.
  13. 13.Find the value of 9x − 4 when x = 8.
  14. 14.Find the value of 8a + 2b when a = 1 and b = 4.
  15. 15.Find the value of 4n − 26 when n = 7.
  16. 16.Solve: p − 4 = 16. What is p?
  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 T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 23 letters?
  19. 19.Isha has n mangoes. A friend has 5 times as many. Which expression shows how many mangoes the friend has? (a) n − 5 (b) 5n (c) n ÷ 5 (d) n + 5
  20. 20.Dev has p pencils. A friend has 9 times as many. Which expression shows how many pencils the friend has? (a) p ÷ 9 (b) 9p (c) p + 9 (d) p − 9
  21. 21.Find the value of 7a + 7b when a = 2 and b = 5.
  22. 22.Solve: x + 12 = 29. What is x?
  23. 23.Find the value of 9t − 9 when t = 8.
  24. 24.Find the value of 5p + 4 when p = 6.
  25. 25.Solve: m ÷ 3 = 1. What is m?
  26. 26.Tara has k balls. A friend has 4 times as many. Which expression shows how many balls the friend has? (a) k ÷ 4 (b) 4k (c) k − 4 (d) k + 4
  27. 27.Find the value of 4n + 2 when n = 3.
  28. 28.Find the value of 9a + 6b when a = 1 and b = 3.
  29. 29.Solve: n ÷ 8 = 9. What is n?
  30. 30.Find the value of 6y − 30 when y = 6.
  31. 31.Find the value of 6t − 5 when t = 1.
  32. 32.Solve: y + 4 = 11. What is y?
  33. 33.Farhan 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
  34. 34.Solve: y ÷ 10 = 1. What is y?
  35. 35.Solve: m + 9 = 22. What is m?
  36. 36.Find the value of 6t + 11 when t = 1.
  37. 37.Find the value of 8m − 21 when m = 3.
  38. 38.Find the value of 6x + 2 when x = 4.
  39. 39.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 30 letters?
  40. 40.Find the value of 5a + 5b when a = 6 and b = 1.

Answer key

  1. 25
  2. 34
  3. 4n
  4. 144
  5. 13
  6. 20
  7. 15
  8. 33
  9. 39
  10. 6n
  11. n − 4
  12. 94
  13. 68
  14. 16
  15. 2
  16. 20
  17. 63
  18. 46
  19. 5n
  20. 9p
  21. 49
  22. 17
  23. 63
  24. 34
  25. 3
  26. 4k
  27. 14
  28. 27
  29. 72
  30. 6
  31. 1
  32. 7
  33. p + 8
  34. 10
  35. 13
  36. 17
  37. 3
  38. 26
  39. 60
  40. 35

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