Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 582 · 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 T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 23 letters?
2. 2.Find the value of 9p − 6 when p = 1.
3. 3.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
4. 4.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 30 letters?
5. 5.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 28 letters?
6. 6.Solve: n − 6 = 2. What is n?
7. 7.Nisha has m kites. A friend has 5 more. Which expression shows how many kites the friend has? (a) m + 5 (b) m − 5 (c) m ÷ 5 (d) 5m
8. 8.Find the value of 3y + 15 when y = 1.
9. 9.Find the value of 9y + 10 when y = 12.
10. 10.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 10 letters?
11. 11.Find the value of 7n + 5 when n = 1.
12. 12.Find the value of 3t − 3 when t = 12.
13. 13.Find the value of 6p − 7 when p = 2.
14. 14.Find the value of 5a + 4b when a = 5 and b = 4.
15. 15.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 18 letters?
16. 16.Find the value of 2a + 2b when a = 2 and b = 2.
17. 17.Solve: x − 5 = 16. What is x?
18. 18.Find the value of 5n + 18 when n = 3.
19. 19.Find the value of 7a + 9b when a = 2 and b = 7.
20. 20.Find the value of 3a + 6b when a = 3 and b = 1.
21. 21.Meera has n marbles. A friend has 8 fewer. Which expression shows how many marbles the friend has? (a) n + 8 (b) n ÷ 8 (c) n − 8 (d) 8n
22. 22.Find the value of 3a + 6b when a = 10 and b = 6.
23. 23.Solve: 10p = 70. What is p?
24. 24.Find the value of 6a + 3b when a = 4 and b = 5.
25. 25.Find the value of 2n + 2 when n = 3.
26. 26.Tara has m crayons. A friend has 2 fewer. Which expression shows how many crayons the friend has? (a) m + 2 (b) 2m (c) m ÷ 2 (d) m − 2
27. 27.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
28. 28.Solve: x + 12 = 30. What is x?
29. 29.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 5 letters?
30. 30.Find the value of 7a + 2b when a = 2 and b = 4.
31. 31.Find the value of 6a + 7b when a = 10 and b = 8.
32. 32.Find the value of 8a + 4b when a = 3 and b = 6.
33. 33.Find the value of 8a + 8b when a = 8 and b = 2.
34. 34.Find the value of 2a + 2b when a = 10 and b = 10.
35. 35.Find the value of 9x + 16 when x = 4.
36. 36.Find the value of 3a + 8b when a = 4 and b = 4.
37. 37.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 22 letters?
38. 38.Find the value of 3m − 8 when m = 12.
39. 39.Arjun shares n marbles equally among 4 friends. Which expression shows how many marbles each friend gets? (a) n ÷ 4 (b) n − 4 (c) n + 4 (d) 4n
40. 40.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?

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