Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 440 · 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.Priya has n marbles. A friend has 3 more. Which expression shows how many marbles the friend has? (a) n − 3 (b) n ÷ 3 (c) n + 3 (d) 3n
2. 2.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 28 letters?
3. 3.Find the value of 2t + 13 when t = 5.
4. 4.Vivaan shares m pencils equally among 7 friends. Which expression shows how many pencils each friend gets? (a) m ÷ 7 (b) 7m (c) m − 7 (d) m + 7
5. 5.Ishaan has m pencils. A friend has 2 fewer. Which expression shows how many pencils the friend has? (a) 2m (b) m − 2 (c) m ÷ 2 (d) m + 2
6. 6.Dev 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
7. 7.Solve: n + 4 = 8. What is n?
8. 8.Solve: 5m = 20. What is m?
9. 9.Kavya shares m shells equally among 5 friends. Which expression shows how many shells each friend gets? (a) m + 5 (b) m − 5 (c) m ÷ 5 (d) 5m
10. 10.Solve: y − 3 = 13. What is y?
11. 11.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 15 letters?
12. 12.Priya shares k balls equally among 2 friends. Which expression shows how many balls each friend gets? (a) 2k (b) k + 2 (c) k ÷ 2 (d) k − 2
13. 13.Find the value of 2n − 2 when n = 7.
14. 14.Find the value of 2n − 9 when n = 5.
15. 15.Pooja shares n pencils equally among 9 friends. Which expression shows how many pencils each friend gets? (a) n − 9 (b) n + 9 (c) n ÷ 9 (d) 9n
16. 16.Tara has k balls. A friend has 7 fewer. Which expression shows how many balls the friend has? (a) k − 7 (b) k ÷ 7 (c) 7k (d) k + 7
17. 17.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 29 letters?
18. 18.Find the value of 7p − 23 when p = 12.
19. 19.Find the value of 5t − 2 when t = 1.
20. 20.Find the value of 2t − 12 when t = 8.
21. 21.Find the value of 2t − 4 when t = 4.
22. 22.Find the value of 5t + 15 when t = 1.
23. 23.Find the value of 2p + 16 when p = 1.
24. 24.Solve: x − 3 = 3. What is x?
25. 25.Lakshmi has k pencils. A friend has 5 fewer. Which expression shows how many pencils the friend has? (a) k ÷ 5 (b) k + 5 (c) 5k (d) k − 5
26. 26.Find the value of 2x − 8 when x = 7.
27. 27.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 20 letters?
28. 28.Kavya has k balls. A friend has 8 fewer. Which expression shows how many balls the friend has? (a) 8k (b) k ÷ 8 (c) k − 8 (d) k + 8
29. 29.Find the value of 3a + 6b when a = 5 and b = 5.
30. 30.Find the value of 8a + 9b when a = 4 and b = 4.
31. 31.Find the value of 5n − 2 when n = 2.
32. 32.Aditya has m laddoos. A friend has 3 more. Which expression shows how many laddoos the friend has? (a) 3m (b) m − 3 (c) m + 3 (d) m ÷ 3
33. 33.Solve: n − 7 = 19. What is n?
34. 34.Solve: p − 7 = 4. What is p?
35. 35.Solve: t − 7 = 2. What is t?
36. 36.Farhan shares m balls equally among 4 friends. Which expression shows how many balls each friend gets? (a) m + 4 (b) m − 4 (c) 4m (d) m ÷ 4
37. 37.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 10 letters?
38. 38.Solve: t − 8 = 10. What is t?
39. 39.Find the value of 8y + 20 when y = 5.
40. 40.Priya shares k pencils equally among 4 friends. Which expression shows how many pencils each friend gets? (a) k − 4 (b) k ÷ 4 (c) 4k (d) k + 4

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