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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 276 · 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 U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
  2. 2.Find the value of 2p − 5 when p = 10.
  3. 3.Sneha has n kites. A friend has 9 fewer. Which expression shows how many kites the friend has? (a) 9n (b) n − 9 (c) n ÷ 9 (d) n + 9
  4. 4.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
  5. 5.Find the value of 3x − 1 when x = 5.
  6. 6.Find the value of 8x − 5 when x = 4.
  7. 7.Solve: t − 8 = 19. What is t?
  8. 8.Find the value of 9n − 2 when n = 3.
  9. 9.Find the value of 9a + 2b when a = 1 and b = 4.
  10. 10.Find the value of 6a + 3b when a = 2 and b = 5.
  11. 11.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
  12. 12.Find the value of 2x + 3 when x = 4.
  13. 13.Find the value of 2a + 3b when a = 4 and b = 10.
  14. 14.Find the value of 5a + 3b when a = 10 and b = 4.
  15. 15.Solve: 2x = 32. What is x?
  16. 16.Sneha has k bananas. A friend has 3 times as many. Which expression shows how many bananas the friend has? (a) 3k (b) k + 3 (c) k − 3 (d) k ÷ 3
  17. 17.Meera has p marbles. A friend has 8 times as many. Which expression shows how many marbles the friend has? (a) 8p (b) p + 8 (c) p − 8 (d) p ÷ 8
  18. 18.Find the value of 5a + 2b when a = 5 and b = 4.
  19. 19.Solve: x − 7 = 8. What is x?
  20. 20.Rohan has p mangoes. A friend has 5 times as many. Which expression shows how many mangoes the friend has? (a) p ÷ 5 (b) 5p (c) p + 5 (d) p − 5
  21. 21.Find the value of 2a + 6b when a = 2 and b = 3.
  22. 22.Find the value of 8x − 8 when x = 4.
  23. 23.Find the value of 6p − 2 when p = 1.
  24. 24.Solve: m ÷ 9 = 18. What is m?
  25. 25.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
  26. 26.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
  27. 27.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
  28. 28.Solve: t − 8 = 11. What is t?
  29. 29.Find the value of 7y − 19 when y = 4.
  30. 30.Find the value of 8a + 2b when a = 9 and b = 8.
  31. 31.Tara has m crayons. A friend has 5 more. Which expression shows how many crayons the friend has? (a) m + 5 (b) m ÷ 5 (c) m − 5 (d) 5m
  32. 32.Solve: t − 2 = 8. What is t?
  33. 33.Solve: y + 8 = 11. What is y?
  34. 34.Find the value of 5a + 4b when a = 1 and b = 8.
  35. 35.Solve: x ÷ 11 = 5. What is x?
  36. 36.Find the value of 3t − 12 when t = 6.
  37. 37.Find the value of 9a + 2b when a = 10 and b = 6.
  38. 38.Ananya has n crayons. A friend has 8 more. Which expression shows how many crayons the friend has? (a) n − 8 (b) n ÷ 8 (c) 8n (d) n + 8
  39. 39.Find the value of 3a + 3b when a = 2 and b = 4.
  40. 40.Find the value of 4a + 4b when a = 9 and b = 8.

Answer key

  1. 63
  2. 15
  3. n − 9
  4. 45
  5. 14
  6. 27
  7. 27
  8. 25
  9. 17
  10. 27
  11. 24
  12. 11
  13. 38
  14. 62
  15. 16
  16. 3k
  17. 8p
  18. 33
  19. 15
  20. 5p
  21. 22
  22. 24
  23. 4
  24. 162
  25. 66
  26. 30
  27. 39
  28. 19
  29. 9
  30. 88
  31. m + 5
  32. 10
  33. 3
  34. 37
  35. 55
  36. 6
  37. 102
  38. n + 8
  39. 18
  40. 68

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