Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 549 · 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 4n + 17 when n = 2.
2. 2.Find the value of 2x + 4 when x = 12.
3. 3.Find the value of 6t − 12 when t = 4.
4. 4.Find the value of 6y − 25 when y = 5.
5. 5.Find the value of 8a + 7b when a = 3 and b = 10.
6. 6.Tara has p flowers. A friend has 2 times as many. Which expression shows how many flowers the friend has? (a) p − 2 (b) 2p (c) p + 2 (d) p ÷ 2
7. 7.Aditya has m crayons. A friend has 7 times as many. Which expression shows how many crayons the friend has? (a) 7m (b) m − 7 (c) m + 7 (d) m ÷ 7
8. 8.Find the value of 3n + 7 when n = 1.
9. 9.Solve: m + 6 = 24. What is m?
10. 10.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 20 letters?
11. 11.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 21 letters?
12. 12.Find the value of 8a + 8b when a = 1 and b = 8.
13. 13.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
14. 14.Find the value of 4n − 24 when n = 7.
15. 15.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
16. 16.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 26 letters?
17. 17.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?
18. 18.Find the value of 2t − 1 when t = 1.
19. 19.Find the value of 9a + 9b when a = 4 and b = 4.
20. 20.Ananya shares k marbles equally among 4 friends. Which expression shows how many marbles each friend gets? (a) k ÷ 4 (b) k − 4 (c) k + 4 (d) 4k
21. 21.Find the value of 3a + 2b when a = 3 and b = 7.
22. 22.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 29 letters?
23. 23.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
24. 24.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
25. 25.Solve: n + 9 = 22. What is n?
26. 26.Sneha has n kites. A friend has 5 times as many. Which expression shows how many kites the friend has? (a) n ÷ 5 (b) n − 5 (c) n + 5 (d) 5n
27. 27.Find the value of 7a + 9b when a = 4 and b = 3.
28. 28.Find the value of 3t + 7 when t = 4.
29. 29.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 27 letters?
30. 30.Find the value of 3m + 17 when m = 2.
31. 31.Find the value of 9a + 5b when a = 9 and b = 8.
32. 32.Find the value of 2m − 3 when m = 3.
33. 33.Farhan has m laddoos. A friend has 6 fewer. Which expression shows how many laddoos the friend has? (a) 6m (b) m ÷ 6 (c) m + 6 (d) m − 6
34. 34.Find the value of 4y + 6 when y = 4.
35. 35.Find the value of 5m + 13 when m = 9.
36. 36.Solve: 7p = 133. What is p?
37. 37.Find the value of 6a + 6b when a = 10 and b = 8.
38. 38.Solve: m − 3 = 10. What is m?
39. 39.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
40. 40.Find the value of 2t − 4 when t = 10.

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