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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 336 · 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 7x − 1 when x = 4.
  2. 2.Find the value of 8a + 9b when a = 9 and b = 1.
  3. 3.Solve: 7p = 63. What is p?
  4. 4.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 30 letters?
  5. 5.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
  6. 6.Find the value of 6t + 17 when t = 5.
  7. 7.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
  8. 8.Solve: n + 8 = 12. What is n?
  9. 9.Solve: p ÷ 2 = 4. What is p?
  10. 10.Find the value of 5x + 10 when x = 9.
  11. 11.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 22 letters?
  12. 12.Find the value of 4a + 6b when a = 2 and b = 2.
  13. 13.Find the value of 6a + 3b when a = 1 and b = 1.
  14. 14.Rohan has n laddoos. A friend has 9 times as many. Which expression shows how many laddoos the friend has? (a) n − 9 (b) n ÷ 9 (c) 9n (d) n + 9
  15. 15.Find the value of 2a + 6b when a = 1 and b = 1.
  16. 16.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 13 letters?
  17. 17.Find the value of 7n + 5 when n = 4.
  18. 18.Find the value of 5a + 2b when a = 6 and b = 10.
  19. 19.Find the value of 8a + 9b when a = 8 and b = 6.
  20. 20.Aarav has n mangoes. A friend has 8 fewer. Which expression shows how many mangoes the friend has? (a) 8n (b) n ÷ 8 (c) n + 8 (d) n − 8
  21. 21.Solve: n − 4 = 15. What is n?
  22. 22.Solve: m − 10 = 17. What is m?
  23. 23.Find the value of 2a + 8b when a = 7 and b = 5.
  24. 24.Find the value of 5t + 10 when t = 9.
  25. 25.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
  26. 26.Find the value of 4y − 2 when y = 4.
  27. 27.Find the value of 3a + 9b when a = 3 and b = 1.
  28. 28.Find the value of 8a + 7b when a = 1 and b = 3.
  29. 29.Find the value of 9t + 17 when t = 5.
  30. 30.Priya has k marbles. A friend has 3 fewer. Which expression shows how many marbles the friend has? (a) k ÷ 3 (b) 3k (c) k + 3 (d) k − 3
  31. 31.Find the value of 9a + 6b when a = 3 and b = 3.
  32. 32.Solve: m − 6 = 14. What is m?
  33. 33.Find the value of 4a + 3b when a = 9 and b = 9.
  34. 34.Find the value of 8a + 7b when a = 5 and b = 4.
  35. 35.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 18 letters?
  36. 36.Find the value of 8a + 5b when a = 9 and b = 4.
  37. 37.Vivaan has p laddoos. A friend has 6 more. Which expression shows how many laddoos the friend has? (a) p + 6 (b) p − 6 (c) 6p (d) p ÷ 6
  38. 38.Find the value of 3a + 3b when a = 2 and b = 5.
  39. 39.Find the value of 2y − 8 when y = 8.
  40. 40.Find the value of 3n + 3 when n = 4.

Answer key

  1. 27
  2. 81
  3. 9
  4. 90
  5. 12
  6. 47
  7. 10
  8. 4
  9. 8
  10. 55
  11. 44
  12. 20
  13. 9
  14. 9n
  15. 8
  16. 52
  17. 33
  18. 50
  19. 118
  20. n − 8
  21. 19
  22. 27
  23. 54
  24. 55
  25. 45
  26. 14
  27. 18
  28. 29
  29. 62
  30. k − 3
  31. 45
  32. 20
  33. 63
  34. 68
  35. 72
  36. 92
  37. p + 6
  38. 21
  39. 8
  40. 15

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