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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 369 · 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 4y + 3 when y = 9.
  2. 2.Solve: 2x = 38. What is x?
  3. 3.Find the value of 6t + 16 when t = 3.
  4. 4.Find the value of 6p − 29 when p = 10.
  5. 5.Kavya has p kites. A friend has 4 more. Which expression shows how many kites the friend has? (a) p − 4 (b) 4p (c) p ÷ 4 (d) p + 4
  6. 6.Find the value of 7p + 9 when p = 2.
  7. 7.Find the value of 7a + 4b when a = 9 and b = 9.
  8. 8.Farhan has m marbles. A friend has 2 more. Which expression shows how many marbles the friend has? (a) m − 2 (b) m ÷ 2 (c) m + 2 (d) 2m
  9. 9.Find the value of 8a + 2b when a = 7 and b = 1.
  10. 10.Find the value of 2n + 2 when n = 1.
  11. 11.Find the value of 5a + 5b when a = 9 and b = 7.
  12. 12.Find the value of 4n − 1 when n = 2.
  13. 13.Solve: p + 3 = 23. What is p?
  14. 14.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
  15. 15.Priya has n shells. A friend has 7 more. Which expression shows how many shells the friend has? (a) n − 7 (b) n ÷ 7 (c) n + 7 (d) 7n
  16. 16.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
  17. 17.Find the value of 7a + 2b when a = 4 and b = 5.
  18. 18.Solve: y ÷ 4 = 17. What is y?
  19. 19.Solve: m ÷ 3 = 15. What is m?
  20. 20.Gurpreet has k balls. A friend has 3 fewer. Which expression shows how many balls the friend has? (a) 3k (b) k − 3 (c) k ÷ 3 (d) k + 3
  21. 21.Solve: 7p = 133. What is p?
  22. 22.Solve: t + 8 = 21. What is t?
  23. 23.Find the value of 8x − 19 when x = 11.
  24. 24.Solve: y ÷ 7 = 2. What is y?
  25. 25.Find the value of 6p + 20 when p = 10.
  26. 26.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 6 letters?
  27. 27.Find the value of 8y − 24 when y = 5.
  28. 28.Rahul has n balls. A friend has 4 fewer. Which expression shows how many balls the friend has? (a) 4n (b) n − 4 (c) n + 4 (d) n ÷ 4
  29. 29.Solve: t − 6 = 1. What is t?
  30. 30.Solve: t ÷ 3 = 15. What is t?
  31. 31.Find the value of 9a + 7b when a = 5 and b = 4.
  32. 32.Find the value of 7n − 18 when n = 3.
  33. 33.Find the value of 7y + 6 when y = 8.
  34. 34.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
  35. 35.Rahul has m balls. A friend has 5 times as many. Which expression shows how many balls the friend has? (a) m − 5 (b) m + 5 (c) m ÷ 5 (d) 5m
  36. 36.Solve: p + 10 = 22. What is p?
  37. 37.Find the value of 8a + 6b when a = 9 and b = 2.
  38. 38.Find the value of 2x + 12 when x = 3.
  39. 39.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 23 letters?
  40. 40.Rahul has k books. A friend has 3 fewer. Which expression shows how many books the friend has? (a) k + 3 (b) k ÷ 3 (c) 3k (d) k − 3

Answer key

  1. 39
  2. 19
  3. 34
  4. 31
  5. p + 4
  6. 23
  7. 99
  8. m + 2
  9. 58
  10. 4
  11. 80
  12. 7
  13. 20
  14. 72
  15. n + 7
  16. 27
  17. 38
  18. 68
  19. 45
  20. k − 3
  21. 19
  22. 13
  23. 69
  24. 14
  25. 80
  26. 24
  27. 16
  28. n − 4
  29. 7
  30. 45
  31. 73
  32. 3
  33. 62
  34. 22
  35. 5m
  36. 12
  37. 84
  38. 18
  39. 46
  40. k − 3

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