Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 504 · 40 sums

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.

1. 1.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 17 letters?
2. 2.Find the value of 8a + 3b when a = 8 and b = 1.
3. 3.Find the value of 4a + 8b when a = 10 and b = 4.
4. 4.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 27 letters?
5. 5.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 21 letters?
6. 6.Find the value of 2t − 4 when t = 12.
7. 7.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
8. 8.Meera has p balls. A friend has 6 more. Which expression shows how many balls the friend has? (a) p − 6 (b) p ÷ 6 (c) 6p (d) p + 6
9. 9.Find the value of 2a + 2b when a = 4 and b = 5.
10. 10.Find the value of 6t + 9 when t = 7.
11. 11.Find the value of 8a + 6b when a = 1 and b = 3.
12. 12.Riya shares k books equally among 3 friends. Which expression shows how many books each friend gets? (a) k − 3 (b) k ÷ 3 (c) k + 3 (d) 3k
13. 13.Find the value of 4a + 7b when a = 1 and b = 10.
14. 14.Solve: t − 7 = 15. What is t?
15. 15.Find the value of 2m − 17 when m = 11.
16. 16.Gurpreet has n bananas. A friend has 9 fewer. Which expression shows how many bananas the friend has? (a) n − 9 (b) n + 9 (c) n ÷ 9 (d) 9n
17. 17.Solve: m ÷ 10 = 1. What is m?
18. 18.Solve: t ÷ 8 = 20. What is t?
19. 19.Sneha has n crayons. A friend has 2 more. Which expression shows how many crayons the friend has? (a) n ÷ 2 (b) n + 2 (c) 2n (d) n − 2
20. 20.Solve: y + 4 = 6. What is y?
21. 21.Solve: y ÷ 2 = 6. What is y?
22. 22.Find the value of 6n + 5 when n = 11.
23. 23.Find the value of 5a + 5b when a = 7 and b = 4.
24. 24.Find the value of 5a + 9b when a = 6 and b = 9.
25. 25.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
26. 26.Rohan has n flowers. A friend has 8 fewer. Which expression shows how many flowers the friend has? (a) n + 8 (b) n ÷ 8 (c) 8n (d) n − 8
27. 27.Solve: m ÷ 8 = 14. What is m?
28. 28.Joseph has k shells. A friend has 7 more. Which expression shows how many shells the friend has? (a) k ÷ 7 (b) k − 7 (c) k + 7 (d) 7k
29. 29.Isha has n shells. A friend has 4 more. Which expression shows how many shells the friend has? (a) 4n (b) n ÷ 4 (c) n − 4 (d) n + 4
30. 30.Solve: y − 8 = 18. What is y?
31. 31.Find the value of 9a + 5b when a = 7 and b = 8.
32. 32.Kabir shares m mangoes equally among 8 friends. Which expression shows how many mangoes each friend gets? (a) m ÷ 8 (b) 8m (c) m − 8 (d) m + 8
33. 33.Gurpreet has k bananas. A friend has 2 times as many. Which expression shows how many bananas the friend has? (a) k + 2 (b) 2k (c) k − 2 (d) k ÷ 2
34. 34.Find the value of 8y − 58 when y = 11.
35. 35.Farhan has p kites. A friend has 2 times as many. Which expression shows how many kites the friend has? (a) 2p (b) p − 2 (c) p + 2 (d) p ÷ 2
36. 36.Find the value of 6m − 3 when m = 2.
37. 37.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
38. 38.Find the value of 3a + 2b when a = 8 and b = 8.
39. 39.Find the value of 2y + 20 when y = 6.
40. 40.Find the value of 5p + 11 when p = 12.

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