Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 122 · 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.Aarav has n flowers. A friend has 6 more. Which expression shows how many flowers the friend has? (a) n + 6 (b) 6n (c) n − 6 (d) n ÷ 6
2. 2.Karan has m balls. A friend has 3 more. Which expression shows how many balls the friend has? (a) m + 3 (b) m − 3 (c) 3m (d) m ÷ 3
3. 3.Find the value of 4p + 20 when p = 8.
4. 4.Solve: 10n = 40. What is n?
5. 5.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
6. 6.Nisha shares m pencils equally among 8 friends. Which expression shows how many pencils each friend gets? (a) m − 8 (b) m + 8 (c) m ÷ 8 (d) 8m
7. 7.Find the value of 2a + 5b when a = 5 and b = 8.
8. 8.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
9. 9.Ananya has p marbles. A friend has 6 fewer. Which expression shows how many marbles the friend has? (a) p − 6 (b) 6p (c) p ÷ 6 (d) p + 6
10. 10.Aarav has k marbles. A friend has 5 more. Which expression shows how many marbles the friend has? (a) k ÷ 5 (b) k − 5 (c) 5k (d) k + 5
11. 11.Solve: 3x = 39. What is x?
12. 12.Solve: n − 2 = 13. What is n?
13. 13.Find the value of 2x − 3 when x = 2.
14. 14.Find the value of 6p − 12 when p = 4.
15. 15.Find the value of 2a + 4b when a = 8 and b = 5.
16. 16.Find the value of 4p − 13 when p = 10.
17. 17.Solve: m + 10 = 19. What is m?
18. 18.Ananya has m laddoos. A friend has 7 more. Which expression shows how many laddoos the friend has? (a) 7m (b) m − 7 (c) m + 7 (d) m ÷ 7
19. 19.Tara has n books. A friend has 6 fewer. Which expression shows how many books the friend has? (a) n ÷ 6 (b) n + 6 (c) n − 6 (d) 6n
20. 20.Find the value of 5a + 3b when a = 5 and b = 2.
21. 21.Find the value of 4a + 6b when a = 4 and b = 8.
22. 22.Solve: 10y = 80. What is y?
23. 23.Solve: t − 8 = 16. What is t?
24. 24.Solve: 2m = 20. What is m?
25. 25.Saanvi has n balls. A friend has 8 more. Which expression shows how many balls the friend has? (a) n + 8 (b) 8n (c) n − 8 (d) n ÷ 8
26. 26.Solve: y + 12 = 25. What is y?
27. 27.Ananya has n pencils. A friend has 6 more. Which expression shows how many pencils the friend has? (a) n ÷ 6 (b) n − 6 (c) 6n (d) n + 6
28. 28.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 27 letters?
29. 29.Find the value of 9a + 4b when a = 9 and b = 8.
30. 30.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 11 letters?
31. 31.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
32. 32.Find the value of 4m − 1 when m = 1.
33. 33.Find the value of 3a + 5b when a = 1 and b = 6.
34. 34.Find the value of 7m + 8 when m = 8.
35. 35.Find the value of 7a + 2b when a = 9 and b = 3.
36. 36.Find the value of 3y + 12 when y = 1.
37. 37.Find the value of 7x + 13 when x = 8.
38. 38.Solve: 11t = 11. What is t?
39. 39.Solve: 2t = 12. What is t?
40. 40.Find the value of 6x − 24 when x = 11.

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