Class 6 Maths Worksheet: Algebra

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

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