Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 531 · 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 V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 24 letters?
2. 2.Find the value of 3a + 2b when a = 2 and b = 2.
3. 3.Solve: x ÷ 2 = 14. What is x?
4. 4.Solve: 8p = 160. What is p?
5. 5.Find the value of 9m − 13 when m = 6.
6. 6.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
7. 7.Solve: p − 2 = 8. What is p?
8. 8.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
9. 9.Find the value of 4a + 4b when a = 9 and b = 6.
10. 10.Sneha has n marbles. A friend has 2 fewer. Which expression shows how many marbles the friend has? (a) 2n (b) n − 2 (c) n ÷ 2 (d) n + 2
11. 11.Find the value of 6m + 2 when m = 11.
12. 12.Find the value of 8y + 3 when y = 1.
13. 13.Nisha has n balls. A friend has 6 more. Which expression shows how many balls the friend has? (a) 6n (b) n − 6 (c) n ÷ 6 (d) n + 6
14. 14.Find the value of 3a + 2b when a = 6 and b = 5.
15. 15.Find the value of 2n + 5 when n = 10.
16. 16.Find the value of 8n + 17 when n = 11.
17. 17.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 30 letters?
18. 18.Aditya shares m flowers equally among 2 friends. Which expression shows how many flowers each friend gets? (a) m − 2 (b) 2m (c) m ÷ 2 (d) m + 2
19. 19.Rohan has k mangoes. A friend has 6 fewer. Which expression shows how many mangoes the friend has? (a) 6k (b) k − 6 (c) k ÷ 6 (d) k + 6
20. 20.Joseph has n shells. A friend has 6 fewer. Which expression shows how many shells the friend has? (a) n + 6 (b) 6n (c) n ÷ 6 (d) n − 6
21. 21.Karan has n pencils. A friend has 2 fewer. Which expression shows how many pencils the friend has? (a) n + 2 (b) n ÷ 2 (c) n − 2 (d) 2n
22. 22.Find the value of 3a + 4b when a = 2 and b = 3.
23. 23.Find the value of 2x − 10 when x = 8.
24. 24.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
25. 25.Find the value of 7x + 6 when x = 12.
26. 26.Find the value of 2x + 4 when x = 2.
27. 27.Find the value of 2p − 4 when p = 3.
28. 28.Find the value of 3a + 9b when a = 9 and b = 3.
29. 29.Find the value of 9m + 17 when m = 12.
30. 30.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 30 letters?
31. 31.Diya has n balls. A friend has 7 fewer. Which expression shows how many balls the friend has? (a) n ÷ 7 (b) 7n (c) n − 7 (d) n + 7
32. 32.Find the value of 8p − 63 when p = 11.
33. 33.Lakshmi has k pencils. A friend has 3 times as many. Which expression shows how many pencils the friend has? (a) 3k (b) k − 3 (c) k ÷ 3 (d) k + 3
34. 34.Solve: p + 8 = 15. What is p?
35. 35.Solve: t + 3 = 10. What is t?
36. 36.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
37. 37.Solve: 10p = 40. What is p?
38. 38.Find the value of 2m + 19 when m = 6.
39. 39.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 26 letters?
40. 40.Find the value of 3m − 4 when m = 7.

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