Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 274 · 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.Solve: m ÷ 11 = 1. What is m?
2. 2.Solve: n + 6 = 19. What is n?
3. 3.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 26 letters?
4. 4.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 25 letters?
5. 5.Find the value of 3a + 3b when a = 3 and b = 2.
6. 6.Find the value of 7n + 1 when n = 8.
7. 7.Solve: n − 9 = 9. What is n?
8. 8.Joseph shares k books equally among 3 friends. Which expression shows how many books each friend gets? (a) k ÷ 3 (b) k − 3 (c) 3k (d) k + 3
9. 9.Rohan has n pencils. A friend has 5 fewer. Which expression shows how many pencils the friend has? (a) 5n (b) n ÷ 5 (c) n − 5 (d) n + 5
10. 10.Find the value of 8a + 3b when a = 10 and b = 6.
11. 11.Aditya has p bananas. A friend has 2 fewer. Which expression shows how many bananas the friend has? (a) p ÷ 2 (b) p − 2 (c) p + 2 (d) 2p
12. 12.Solve: x − 5 = 16. What is x?
13. 13.Kavya has k bananas. A friend has 4 more. Which expression shows how many bananas the friend has? (a) k − 4 (b) k ÷ 4 (c) 4k (d) k + 4
14. 14.Find the value of 6a + 3b when a = 7 and b = 6.
15. 15.Find the value of 4a + 5b when a = 6 and b = 3.
16. 16.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
17. 17.Dev has n flowers. A friend has 8 more. Which expression shows how many flowers the friend has? (a) n − 8 (b) n + 8 (c) n ÷ 8 (d) 8n
18. 18.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 18 letters?
19. 19.Find the value of 3t − 3 when t = 9.
20. 20.Find the value of 6t − 30 when t = 6.
21. 21.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 16 letters?
22. 22.Find the value of 3a + 7b when a = 9 and b = 6.
23. 23.Find the value of 3a + 5b when a = 2 and b = 5.
24. 24.Find the value of 7a + 3b when a = 10 and b = 6.
25. 25.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
26. 26.Ananya has n pencils. A friend has 2 more. Which expression shows how many pencils the friend has? (a) 2n (b) n ÷ 2 (c) n + 2 (d) n − 2
27. 27.Find the value of 4a + 9b when a = 4 and b = 8.
28. 28.Find the value of 6a + 9b when a = 1 and b = 1.
29. 29.Solve: p ÷ 10 = 19. What is p?
30. 30.Find the value of 6a + 6b when a = 5 and b = 1.
31. 31.Solve: n + 7 = 14. What is n?
32. 32.Solve: n + 12 = 14. What is n?
33. 33.Find the value of 4a + 2b when a = 3 and b = 2.
34. 34.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
35. 35.Find the value of 8a + 6b when a = 9 and b = 1.
36. 36.Find the value of 5n − 3 when n = 11.
37. 37.Find the value of 6m − 11 when m = 4.
38. 38.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
39. 39.Manav has p balls. A friend has 3 times as many. Which expression shows how many balls the friend has? (a) p − 3 (b) p ÷ 3 (c) p + 3 (d) 3p
40. 40.Diya has m books. A friend has 3 fewer. Which expression shows how many books the friend has? (a) m ÷ 3 (b) m + 3 (c) m − 3 (d) 3m

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets