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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 153 · 40 sums
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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: t ÷ 2 = 7. What is t?
  2. 2.Solve: p + 7 = 13. What is p?
  3. 3.Solve: 4y = 56. What is y?
  4. 4.Find the value of 7y − 6 when y = 8.
  5. 5.Find the value of 2p − 4 when p = 3.
  6. 6.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 9 letters?
  7. 7.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 26 letters?
  8. 8.Find the value of 9x − 76 when x = 10.
  9. 9.Zoya has n marbles. A friend has 9 more. Which expression shows how many marbles the friend has? (a) 9n (b) n ÷ 9 (c) n − 9 (d) n + 9
  10. 10.Find the value of 6a + 2b when a = 7 and b = 6.
  11. 11.Solve: n + 7 = 18. What is n?
  12. 12.Find the value of 8n + 9 when n = 11.
  13. 13.Solve: m − 3 = 6. What is m?
  14. 14.Find the value of 8x + 17 when x = 11.
  15. 15.Find the value of 7x + 5 when x = 10.
  16. 16.Find the value of 4a + 9b when a = 2 and b = 4.
  17. 17.Find the value of 4a + 2b when a = 9 and b = 8.
  18. 18.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
  19. 19.Rohan has n bananas. A friend has 8 fewer. Which expression shows how many bananas the friend has? (a) n + 8 (b) n ÷ 8 (c) n − 8 (d) 8n
  20. 20.Kavya has k flowers. A friend has 2 more. Which expression shows how many flowers the friend has? (a) 2k (b) k ÷ 2 (c) k − 2 (d) k + 2
  21. 21.Find the value of 6a + 3b when a = 2 and b = 1.
  22. 22.Find the value of 7y − 14 when y = 4.
  23. 23.Find the value of 3a + 6b when a = 2 and b = 7.
  24. 24.Find the value of 2t − 9 when t = 9.
  25. 25.Find the value of 4a + 6b when a = 3 and b = 8.
  26. 26.Find the value of 7a + 5b when a = 4 and b = 10.
  27. 27.Find the value of 9a + 8b when a = 5 and b = 3.
  28. 28.Solve: n − 9 = 11. What is n?
  29. 29.Solve: x + 4 = 11. What is x?
  30. 30.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
  31. 31.Find the value of 9a + 2b when a = 6 and b = 3.
  32. 32.Tara has n balls. A friend has 9 fewer. Which expression shows how many balls the friend has? (a) n − 9 (b) 9n (c) n + 9 (d) n ÷ 9
  33. 33.Joseph has m pencils. A friend has 7 more. Which expression shows how many pencils the friend has? (a) m − 7 (b) 7m (c) m + 7 (d) m ÷ 7
  34. 34.Solve: t ÷ 9 = 1. What is t?
  35. 35.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?
  36. 36.Find the value of 9n − 75 when n = 10.
  37. 37.Find the value of 8a + 6b when a = 3 and b = 5.
  38. 38.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 27 letters?
  39. 39.Find the value of 2n + 1 when n = 5.
  40. 40.Solve: y + 9 = 20. What is y?

Answer key

  1. 14
  2. 6
  3. 14
  4. 50
  5. 2
  6. 36
  7. 78
  8. 14
  9. n + 9
  10. 54
  11. 11
  12. 97
  13. 9
  14. 105
  15. 75
  16. 44
  17. 52
  18. 75
  19. n − 8
  20. k + 2
  21. 15
  22. 14
  23. 48
  24. 9
  25. 60
  26. 78
  27. 69
  28. 20
  29. 7
  30. 63
  31. 60
  32. n − 9
  33. m + 7
  34. 9
  35. 42
  36. 15
  37. 54
  38. 81
  39. 11
  40. 11

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