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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 424 · 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 2n − 10 when n = 10.
  2. 2.Solve: t + 8 = 14. What is t?
  3. 3.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 15 letters?
  4. 4.Solve: m ÷ 5 = 6. What is m?
  5. 5.Find the value of 6y + 4 when y = 4.
  6. 6.Kabir has n mangoes. A friend has 7 more. Which expression shows how many mangoes the friend has? (a) n − 7 (b) n ÷ 7 (c) n + 7 (d) 7n
  7. 7.Find the value of 4n − 1 when n = 4.
  8. 8.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
  9. 9.Find the value of 6t + 19 when t = 9.
  10. 10.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
  11. 11.Find the value of 8m + 7 when m = 3.
  12. 12.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
  13. 13.Sneha shares m marbles equally among 8 friends. Which expression shows how many marbles each friend gets? (a) 8m (b) m + 8 (c) m − 8 (d) m ÷ 8
  14. 14.Zoya has n mangoes. A friend has 8 more. Which expression shows how many mangoes the friend has? (a) n ÷ 8 (b) n − 8 (c) n + 8 (d) 8n
  15. 15.Solve: m ÷ 6 = 6. What is m?
  16. 16.Solve: m + 5 = 11. What is m?
  17. 17.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 16 letters?
  18. 18.Find the value of 6a + 7b when a = 3 and b = 1.
  19. 19.Find the value of 2t + 2 when t = 7.
  20. 20.Solve: p + 6 = 8. What is p?
  21. 21.Find the value of 9a + 2b when a = 7 and b = 8.
  22. 22.Find the value of 3n + 9 when n = 10.
  23. 23.Solve: x ÷ 3 = 4. What is x?
  24. 24.Find the value of 2a + 4b when a = 4 and b = 9.
  25. 25.Find the value of 3a + 3b when a = 2 and b = 5.
  26. 26.Find the value of 8m + 3 when m = 11.
  27. 27.Solve: 12p = 240. What is p?
  28. 28.Pooja has p balls. A friend has 6 times as many. Which expression shows how many balls the friend has? (a) p ÷ 6 (b) p + 6 (c) 6p (d) p − 6
  29. 29.Find the value of 2a + 7b when a = 6 and b = 3.
  30. 30.Find the value of 5t + 17 when t = 8.
  31. 31.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
  32. 32.Find the value of 6a + 4b when a = 8 and b = 1.
  33. 33.Find the value of 6a + 7b when a = 2 and b = 6.
  34. 34.Find the value of 4a + 2b when a = 4 and b = 7.
  35. 35.Find the value of 6t + 20 when t = 3.
  36. 36.Sneha has n balls. A friend has 9 more. Which expression shows how many balls the friend has? (a) 9n (b) n − 9 (c) n + 9 (d) n ÷ 9
  37. 37.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 27 letters?
  38. 38.Find the value of 5x + 16 when x = 10.
  39. 39.Find the value of 5a + 3b when a = 2 and b = 8.
  40. 40.Solve: 12n = 132. What is n?

Answer key

  1. 10
  2. 6
  3. 60
  4. 30
  5. 28
  6. n + 7
  7. 15
  8. 63
  9. 73
  10. 24
  11. 31
  12. 15
  13. m ÷ 8
  14. n + 8
  15. 36
  16. 6
  17. 48
  18. 25
  19. 16
  20. 2
  21. 79
  22. 39
  23. 12
  24. 44
  25. 21
  26. 91
  27. 20
  28. 6p
  29. 33
  30. 57
  31. 45
  32. 52
  33. 54
  34. 30
  35. 38
  36. n + 9
  37. 108
  38. 66
  39. 34
  40. 11

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