Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 465 · 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 6a + 5b when a = 4 and b = 8.
2. 2.Isha has m mangoes. A friend has 6 more. Which expression shows how many mangoes the friend has? (a) 6m (b) m − 6 (c) m + 6 (d) m ÷ 6
3. 3.Dev has n shells. A friend has 5 fewer. Which expression shows how many shells the friend has? (a) n ÷ 5 (b) 5n (c) n − 5 (d) n + 5
4. 4.Find the value of 4a + 6b when a = 9 and b = 9.
5. 5.Find the value of 3a + 2b when a = 7 and b = 1.
6. 6.Solve: t ÷ 7 = 16. What is t?
7. 7.Find the value of 9m + 13 when m = 10.
8. 8.Find the value of 3m + 8 when m = 6.
9. 9.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
10. 10.Karan shares n balloons equally among 8 friends. Which expression shows how many balloons each friend gets? (a) n + 8 (b) 8n (c) n ÷ 8 (d) n − 8
11. 11.Find the value of 8m − 14 when m = 7.
12. 12.Solve: t − 11 = 4. What is t?
13. 13.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
14. 14.Find the value of 5a + 5b when a = 2 and b = 8.
15. 15.Riya has n crayons. A friend has 4 more. Which expression shows how many crayons the friend has? (a) n − 4 (b) n ÷ 4 (c) 4n (d) n + 4
16. 16.Find the value of 4n + 5 when n = 2.
17. 17.Priya has n shells. A friend has 7 fewer. Which expression shows how many shells the friend has? (a) n ÷ 7 (b) 7n (c) n − 7 (d) n + 7
18. 18.Solve: 2m = 16. What is m?
19. 19.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 26 letters?
20. 20.Saanvi has n shells. A friend has 4 times as many. Which expression shows how many shells the friend has? (a) 4n (b) n ÷ 4 (c) n + 4 (d) n − 4
21. 21.Find the value of 7y − 11 when y = 2.
22. 22.Find the value of 6t + 5 when t = 5.
23. 23.Solve: 3n = 15. What is n?
24. 24.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
25. 25.Find the value of 4a + 3b when a = 5 and b = 4.
26. 26.Find the value of 2m − 4 when m = 3.
27. 27.Find the value of 8m + 11 when m = 11.
28. 28.Find the value of 2a + 5b when a = 1 and b = 2.
29. 29.Ananya has p crayons. A friend has 7 fewer. Which expression shows how many crayons the friend has? (a) p ÷ 7 (b) p + 7 (c) 7p (d) p − 7
30. 30.Sneha has p books. A friend has 2 fewer. Which expression shows how many books the friend has? (a) p ÷ 2 (b) p + 2 (c) p − 2 (d) 2p
31. 31.Find the value of 9a + 4b when a = 8 and b = 7.
32. 32.Lakshmi has k bananas. A friend has 4 more. Which expression shows how many bananas the friend has? (a) k − 4 (b) k ÷ 4 (c) 4k (d) k + 4
33. 33.Dev has p books. A friend has 7 more. Which expression shows how many books the friend has? (a) p ÷ 7 (b) 7p (c) p − 7 (d) p + 7
34. 34.Find the value of 7m + 12 when m = 5.
35. 35.Vivaan has m pencils. A friend has 4 more. Which expression shows how many pencils the friend has? (a) 4m (b) m − 4 (c) m + 4 (d) m ÷ 4
36. 36.Solve: p + 3 = 6. What is p?
37. 37.Find the value of 8p − 8 when p = 2.
38. 38.Solve: t ÷ 12 = 3. What is t?
39. 39.Solve: t + 3 = 6. What is t?
40. 40.Find the value of 8t − 79 when t = 10.

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