Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 547 · 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.Find the value of 4x − 27 when x = 9.
2. 2.Find the value of 3m + 5 when m = 6.
3. 3.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 12 letters?
4. 4.Solve: p − 11 = 11. What is p?
5. 5.Find the value of 6a + 3b when a = 8 and b = 2.
6. 6.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
7. 7.Solve: 5p = 90. What is p?
8. 8.Tara shares m books equally among 5 friends. Which expression shows how many books each friend gets? (a) m − 5 (b) m ÷ 5 (c) 5m (d) m + 5
9. 9.Find the value of 9p − 2 when p = 1.
10. 10.Solve: t + 7 = 21. What is t?
11. 11.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
12. 12.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
13. 13.Find the value of 2y + 13 when y = 7.
14. 14.Find the value of 6a + 8b when a = 3 and b = 1.
15. 15.Joseph has k flowers. A friend has 9 fewer. Which expression shows how many flowers the friend has? (a) k + 9 (b) 9k (c) k ÷ 9 (d) k − 9
16. 16.Find the value of 5n + 1 when n = 12.
17. 17.Isha has n flowers. A friend has 2 times as many. Which expression shows how many flowers the friend has? (a) n ÷ 2 (b) n + 2 (c) 2n (d) n − 2
18. 18.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 29 letters?
19. 19.Find the value of 2n − 5 when n = 4.
20. 20.Riya has p books. A friend has 2 fewer. Which expression shows how many books the friend has? (a) p − 2 (b) p ÷ 2 (c) 2p (d) p + 2
21. 21.Solve: 6m = 42. What is m?
22. 22.Find the value of 3m + 17 when m = 8.
23. 23.Find the value of 9n − 21 when n = 7.
24. 24.Find the value of 5a + 7b when a = 1 and b = 2.
25. 25.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 28 letters?
26. 26.Find the value of 6m + 7 when m = 9.
27. 27.Solve: 10x = 160. What is x?
28. 28.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 23 letters?
29. 29.Find the value of 3m + 10 when m = 5.
30. 30.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
31. 31.Ananya has k balls. A friend has 5 more. Which expression shows how many balls the friend has? (a) 5k (b) k − 5 (c) k + 5 (d) k ÷ 5
32. 32.Find the value of 7a + 3b when a = 6 and b = 7.
33. 33.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 29 letters?
34. 34.Find the value of 9a + 3b when a = 6 and b = 2.
35. 35.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 13 letters?
36. 36.Find the value of 2a + 3b when a = 7 and b = 5.
37. 37.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
38. 38.Arjun has n balls. A friend has 2 times as many. Which expression shows how many balls the friend has? (a) n − 2 (b) 2n (c) n ÷ 2 (d) n + 2
39. 39.Priya has n shells. A friend has 6 fewer. Which expression shows how many shells the friend has? (a) 6n (b) n + 6 (c) n − 6 (d) n ÷ 6
40. 40.Find the value of 9y + 16 when y = 4.

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