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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 226 · 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.Find the value of 2x + 15 when x = 1.
  2. 2.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
  3. 3.Solve: p − 12 = 3. What is p?
  4. 4.Find the value of 5a + 4b when a = 4 and b = 1.
  5. 5.Solve: y ÷ 10 = 2. What is y?
  6. 6.Kabir has k mangoes. A friend has 4 fewer. Which expression shows how many mangoes the friend has? (a) 4k (b) k ÷ 4 (c) k − 4 (d) k + 4
  7. 7.Find the value of 5p − 1 when p = 7.
  8. 8.Rohan has k crayons. A friend has 7 fewer. Which expression shows how many crayons the friend has? (a) 7k (b) k − 7 (c) k + 7 (d) k ÷ 7
  9. 9.Find the value of 2m − 6 when m = 12.
  10. 10.Solve: p ÷ 11 = 20. What is p?
  11. 11.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
  12. 12.Solve: n − 10 = 13. What is n?
  13. 13.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 27 letters?
  14. 14.Solve: 4x = 40. What is x?
  15. 15.Find the value of 6m − 3 when m = 1.
  16. 16.Solve: t + 12 = 29. What is t?
  17. 17.Solve: t ÷ 10 = 3. What is t?
  18. 18.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
  19. 19.Kavya has n balls. A friend has 9 fewer. Which expression shows how many balls the friend has? (a) n − 9 (b) n ÷ 9 (c) 9n (d) n + 9
  20. 20.Find the value of 4a + 3b when a = 5 and b = 7.
  21. 21.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 10 letters?
  22. 22.Find the value of 3p + 16 when p = 4.
  23. 23.Solve: p − 6 = 11. What is p?
  24. 24.Find the value of 6n − 3 when n = 1.
  25. 25.Find the value of 5m − 31 when m = 8.
  26. 26.Solve: t − 12 = 16. What is t?
  27. 27.Find the value of 2a + 4b when a = 5 and b = 5.
  28. 28.Find the value of 2m + 10 when m = 8.
  29. 29.Find the value of 6m + 18 when m = 5.
  30. 30.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
  31. 31.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
  32. 32.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
  33. 33.Find the value of 4x − 14 when x = 10.
  34. 34.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
  35. 35.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 29 letters?
  36. 36.Find the value of 7a + 6b when a = 1 and b = 4.
  37. 37.Find the value of 6p − 16 when p = 4.
  38. 38.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
  39. 39.Find the value of 4n − 8 when n = 5.
  40. 40.Find the value of 3a + 3b when a = 10 and b = 3.

Answer key

  1. 17
  2. 24
  3. 15
  4. 24
  5. 20
  6. k − 4
  7. 34
  8. k − 7
  9. 18
  10. 220
  11. 18
  12. 23
  13. 81
  14. 10
  15. 3
  16. 17
  17. 30
  18. 72
  19. n − 9
  20. 41
  21. 20
  22. 28
  23. 17
  24. 3
  25. 9
  26. 28
  27. 30
  28. 26
  29. 48
  30. 56
  31. 24
  32. 24
  33. 26
  34. 33
  35. 58
  36. 31
  37. 8
  38. 24
  39. 12
  40. 39

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