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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 436 · 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.Ishaan has k crayons. A friend has 7 more. Which expression shows how many crayons the friend has? (a) k − 7 (b) k ÷ 7 (c) 7k (d) k + 7
  2. 2.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 13 letters?
  3. 3.Meera has n mangoes. A friend has 9 more. Which expression shows how many mangoes the friend has? (a) n − 9 (b) n ÷ 9 (c) n + 9 (d) 9n
  4. 4.Aarav has k balloons. A friend has 5 times as many. Which expression shows how many balloons the friend has? (a) k ÷ 5 (b) k − 5 (c) 5k (d) k + 5
  5. 5.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 26 letters?
  6. 6.Find the value of 3p + 10 when p = 2.
  7. 7.Find the value of 3a + 6b when a = 1 and b = 1.
  8. 8.Riya has p pencils. A friend has 7 times as many. Which expression shows how many pencils the friend has? (a) p + 7 (b) 7p (c) p ÷ 7 (d) p − 7
  9. 9.Solve: x ÷ 2 = 6. What is x?
  10. 10.Solve: y − 8 = 7. What is y?
  11. 11.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 18 letters?
  12. 12.Find the value of 4y + 13 when y = 8.
  13. 13.Find the value of 7a + 4b when a = 2 and b = 5.
  14. 14.Find the value of 5a + 6b when a = 4 and b = 1.
  15. 15.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 29 letters?
  16. 16.Ananya has k kites. A friend has 2 fewer. Which expression shows how many kites the friend has? (a) k − 2 (b) k + 2 (c) 2k (d) k ÷ 2
  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.Kavya shares p shells equally among 2 friends. Which expression shows how many shells each friend gets? (a) 2p (b) p + 2 (c) p − 2 (d) p ÷ 2
  19. 19.Find the value of 3a + 7b when a = 3 and b = 6.
  20. 20.Find the value of 8y + 8 when y = 9.
  21. 21.Pooja has k balloons. A friend has 3 fewer. Which expression shows how many balloons the friend has? (a) 3k (b) k ÷ 3 (c) k + 3 (d) k − 3
  22. 22.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
  23. 23.Solve: x − 2 = 5. What is x?
  24. 24.Find the value of 8y + 13 when y = 8.
  25. 25.Rahul shares n balls equally among 3 friends. Which expression shows how many balls each friend gets? (a) n ÷ 3 (b) n − 3 (c) n + 3 (d) 3n
  26. 26.Arjun has m balloons. A friend has 9 more. Which expression shows how many balloons the friend has? (a) 9m (b) m ÷ 9 (c) m + 9 (d) m − 9
  27. 27.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 23 letters?
  28. 28.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 10 letters?
  29. 29.Solve: 6p = 6. What is p?
  30. 30.Solve: y ÷ 12 = 2. What is y?
  31. 31.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 18 letters?
  32. 32.Find the value of 8n − 34 when n = 9.
  33. 33.Find the value of 5y − 3 when y = 8.
  34. 34.Vivaan has n books. A friend has 8 fewer. Which expression shows how many books the friend has? (a) n − 8 (b) n ÷ 8 (c) 8n (d) n + 8
  35. 35.Solve: 4y = 36. What is y?
  36. 36.Find the value of 7a + 6b when a = 5 and b = 2.
  37. 37.Aarav has k kites. A friend has 7 fewer. Which expression shows how many kites the friend has? (a) 7k (b) k + 7 (c) k − 7 (d) k ÷ 7
  38. 38.Find the value of 4t − 20 when t = 12.
  39. 39.Find the value of 9x + 14 when x = 4.
  40. 40.Find the value of 4a + 7b when a = 7 and b = 1.

Answer key

  1. k + 7
  2. 26
  3. n + 9
  4. 5k
  5. 52
  6. 16
  7. 9
  8. 7p
  9. 12
  10. 15
  11. 36
  12. 45
  13. 34
  14. 26
  15. 87
  16. k − 2
  17. 48
  18. p ÷ 2
  19. 51
  20. 80
  21. k − 3
  22. 56
  23. 7
  24. 77
  25. n ÷ 3
  26. m + 9
  27. 46
  28. 20
  29. 1
  30. 24
  31. 72
  32. 38
  33. 37
  34. n − 8
  35. 9
  36. 47
  37. k − 7
  38. 28
  39. 50
  40. 35

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