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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 280 · 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 − 4 = 1. What is x?
  2. 2.Find the value of 8m + 9 when m = 8.
  3. 3.Find the value of 7x + 5 when x = 6.
  4. 4.Nisha has p shells. A friend has 4 fewer. Which expression shows how many shells the friend has? (a) p − 4 (b) p + 4 (c) 4p (d) p ÷ 4
  5. 5.Find the value of 3t + 14 when t = 8.
  6. 6.Find the value of 5x − 25 when x = 6.
  7. 7.Solve: y + 6 = 7. What is y?
  8. 8.Kavya has n mangoes. A friend has 8 times as many. Which expression shows how many mangoes the friend has? (a) 8n (b) n + 8 (c) n ÷ 8 (d) n − 8
  9. 9.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
  10. 10.Solve: y ÷ 11 = 13. What is y?
  11. 11.Solve: p ÷ 9 = 12. What is p?
  12. 12.Find the value of 4a + 4b when a = 7 and b = 8.
  13. 13.Find the value of 2y + 7 when y = 11.
  14. 14.Solve: x − 5 = 18. What is x?
  15. 15.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 30 letters?
  16. 16.Solve: 3t = 54. What is t?
  17. 17.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 30 letters?
  18. 18.Find the value of 3n − 1 when n = 1.
  19. 19.Find the value of 4a + 2b when a = 4 and b = 2.
  20. 20.Find the value of 2n + 18 when n = 9.
  21. 21.Solve: m ÷ 2 = 14. What is m?
  22. 22.Solve: y − 7 = 7. What is y?
  23. 23.Find the value of 7a + 7b when a = 7 and b = 9.
  24. 24.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 20 letters?
  25. 25.Solve: y − 8 = 10. What is y?
  26. 26.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 20 letters?
  27. 27.Find the value of 8t − 1 when t = 1.
  28. 28.Solve: y ÷ 5 = 6. What is y?
  29. 29.Aditya has k bananas. A friend has 6 more. Which expression shows how many bananas the friend has? (a) 6k (b) k + 6 (c) k − 6 (d) k ÷ 6
  30. 30.Find the value of 3m − 5 when m = 2.
  31. 31.Find the value of 2a + 9b when a = 6 and b = 10.
  32. 32.Find the value of 9a + 3b when a = 2 and b = 8.
  33. 33.Solve: m + 11 = 16. What is m?
  34. 34.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 19 letters?
  35. 35.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 24 letters?
  36. 36.Find the value of 3a + 8b when a = 10 and b = 5.
  37. 37.Find the value of 4y + 7 when y = 2.
  38. 38.Tara has n shells. A friend has 3 more. Which expression shows how many shells the friend has? (a) 3n (b) n ÷ 3 (c) n + 3 (d) n − 3
  39. 39.Vivaan has m bananas. A friend has 2 times as many. Which expression shows how many bananas the friend has? (a) m − 2 (b) m ÷ 2 (c) 2m (d) m + 2
  40. 40.Nisha has p mangoes. A friend has 7 times as many. Which expression shows how many mangoes the friend has? (a) p − 7 (b) p ÷ 7 (c) p + 7 (d) 7p

Answer key

  1. 5
  2. 73
  3. 47
  4. p − 4
  5. 38
  6. 5
  7. 1
  8. 8n
  9. 30
  10. 143
  11. 108
  12. 60
  13. 29
  14. 23
  15. 90
  16. 18
  17. 120
  18. 2
  19. 20
  20. 36
  21. 28
  22. 14
  23. 112
  24. 40
  25. 18
  26. 60
  27. 7
  28. 30
  29. k + 6
  30. 1
  31. 102
  32. 42
  33. 5
  34. 38
  35. 48
  36. 70
  37. 15
  38. n + 3
  39. 2m
  40. 7p

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