Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 140 · 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.Rohan has n pencils. A friend has 7 fewer. Which expression shows how many pencils the friend has? (a) 7n (b) n − 7 (c) n ÷ 7 (d) n + 7
2. 2.Find the value of 6t + 15 when t = 4.
3. 3.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 20 letters?
4. 4.Farhan shares k balloons equally among 6 friends. Which expression shows how many balloons each friend gets? (a) 6k (b) k + 6 (c) k − 6 (d) k ÷ 6
5. 5.Find the value of 3a + 7b when a = 5 and b = 9.
6. 6.Find the value of 4a + 9b when a = 1 and b = 1.
7. 7.Solve: m − 10 = 15. What is m?
8. 8.Find the value of 3a + 8b when a = 6 and b = 6.
9. 9.Isha has p books. A friend has 3 more. Which expression shows how many books the friend has? (a) 3p (b) p − 3 (c) p + 3 (d) p ÷ 3
10. 10.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 30 letters?
11. 11.Solve: p − 3 = 5. What is p?
12. 12.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 29 letters?
13. 13.Zoya has n kites. A friend has 7 more. Which expression shows how many kites the friend has? (a) n − 7 (b) 7n (c) n ÷ 7 (d) n + 7
14. 14.Find the value of 5m + 10 when m = 7.
15. 15.Solve: m + 6 = 11. What is m?
16. 16.Solve: n + 6 = 15. What is n?
17. 17.Diya has m pencils. A friend has 7 fewer. Which expression shows how many pencils the friend has? (a) m − 7 (b) 7m (c) m ÷ 7 (d) m + 7
18. 18.Solve: 11p = 165. What is p?
19. 19.Find the value of 6y − 35 when y = 8.
20. 20.Find the value of 9a + 6b when a = 8 and b = 5.
21. 21.Solve: x + 6 = 11. What is x?
22. 22.Find the value of 9n + 10 when n = 7.
23. 23.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
24. 24.Sneha has m mangoes. A friend has 5 fewer. Which expression shows how many mangoes the friend has? (a) 5m (b) m + 5 (c) m − 5 (d) m ÷ 5
25. 25.Find the value of 6x + 1 when x = 9.
26. 26.Vivaan has n mangoes. A friend has 2 times as many. Which expression shows how many mangoes the friend has? (a) n − 2 (b) n + 2 (c) 2n (d) n ÷ 2
27. 27.Solve: 7n = 98. What is n?
28. 28.Solve: m ÷ 3 = 14. What is m?
29. 29.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 16 letters?
30. 30.Find the value of 2a + 2b when a = 2 and b = 1.
31. 31.Find the value of 4n − 1 when n = 2.
32. 32.Arjun has p balls. A friend has 6 fewer. Which expression shows how many balls the friend has? (a) p + 6 (b) 6p (c) p ÷ 6 (d) p − 6
33. 33.Solve: m + 7 = 11. What is m?
34. 34.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 24 letters?
35. 35.Find the value of 9a + 5b when a = 9 and b = 10.
36. 36.Rohan shares p mangoes equally among 9 friends. Which expression shows how many mangoes each friend gets? (a) p − 9 (b) p + 9 (c) 9p (d) p ÷ 9
37. 37.Aditya has k balls. A friend has 4 more. Which expression shows how many balls the friend has? (a) 4k (b) k − 4 (c) k ÷ 4 (d) k + 4
38. 38.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
39. 39.Find the value of 8t − 20 when t = 7.
40. 40.Solve: n − 3 = 3. What is n?

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