Class 6 Maths Worksheet: Algebra

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

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