Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 128 · 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 6 letters?
2. 2.Find the value of 3a + 7b when a = 1 and b = 7.
3. 3.Find the value of 3a + 7b when a = 3 and b = 8.
4. 4.Find the value of 5a + 3b when a = 9 and b = 2.
5. 5.Find the value of 4a + 7b when a = 4 and b = 2.
6. 6.Zoya shares k shells equally among 4 friends. Which expression shows how many shells each friend gets? (a) k ÷ 4 (b) 4k (c) k + 4 (d) k − 4
7. 7.Find the value of 8n + 2 when n = 11.
8. 8.Find the value of 7a + 2b when a = 5 and b = 6.
9. 9.Vivaan has n balls. A friend has 2 more. Which expression shows how many balls the friend has? (a) 2n (b) n − 2 (c) n ÷ 2 (d) n + 2
10. 10.Kabir 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
11. 11.Find the value of 5m − 52 when m = 12.
12. 12.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
13. 13.Find the value of 3x + 4 when x = 9.
14. 14.Find the value of 3a + 4b when a = 1 and b = 8.
15. 15.Find the value of 9x − 29 when x = 11.
16. 16.Find the value of 3a + 4b when a = 8 and b = 7.
17. 17.Find the value of 4x − 5 when x = 11.
18. 18.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 23 letters?
19. 19.Find the value of 7t − 8 when t = 8.
20. 20.Find the value of 5a + 2b when a = 7 and b = 6.
21. 21.Find the value of 2n + 18 when n = 9.
22. 22.Find the value of 5y + 3 when y = 1.
23. 23.Find the value of 4x + 12 when x = 3.
24. 24.Find the value of 2t + 15 when t = 6.
25. 25.Find the value of 3a + 5b when a = 9 and b = 2.
26. 26.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 17 letters?
27. 27.Solve: y ÷ 8 = 15. What is y?
28. 28.Vivaan has m mangoes. A friend has 4 fewer. Which expression shows how many mangoes the friend has? (a) m + 4 (b) m − 4 (c) m ÷ 4 (d) 4m
29. 29.Find the value of 3a + 3b when a = 3 and b = 7.
30. 30.Solve: p − 4 = 4. What is p?
31. 31.Pooja has m flowers. A friend has 7 fewer. Which expression shows how many flowers the friend has? (a) m ÷ 7 (b) m + 7 (c) 7m (d) m − 7
32. 32.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
33. 33.Find the value of 6p + 11 when p = 8.
34. 34.Find the value of 4a + 3b when a = 4 and b = 6.
35. 35.Find the value of 6n − 4 when n = 10.
36. 36.Find the value of 9a + 4b when a = 9 and b = 3.
37. 37.Solve: m ÷ 11 = 11. What is m?
38. 38.Solve: m + 11 = 16. What is m?
39. 39.Kabir has m mangoes. A friend has 9 fewer. Which expression shows how many mangoes the friend has? (a) m + 9 (b) m ÷ 9 (c) 9m (d) m − 9
40. 40.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 25 letters?

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