Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 330 · 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.Solve: x − 2 = 10. What is x?
2. 2.Find the value of 7a + 3b when a = 5 and b = 4.
3. 3.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
4. 4.Find the value of 3a + 4b when a = 5 and b = 3.
5. 5.Isha has k bananas. A friend has 3 fewer. Which expression shows how many bananas the friend has? (a) k ÷ 3 (b) k − 3 (c) 3k (d) k + 3
6. 6.Isha has n bananas. A friend has 3 more. Which expression shows how many bananas the friend has? (a) 3n (b) n ÷ 3 (c) n + 3 (d) n − 3
7. 7.Find the value of 5p − 23 when p = 11.
8. 8.Find the value of 4t − 2 when t = 1.
9. 9.Nisha shares k marbles equally among 3 friends. Which expression shows how many marbles each friend gets? (a) k − 3 (b) k ÷ 3 (c) 3k (d) k + 3
10. 10.Riya has m balls. A friend has 9 more. Which expression shows how many balls the friend has? (a) m − 9 (b) 9m (c) m ÷ 9 (d) m + 9
11. 11.Find the value of 9a + 3b when a = 1 and b = 3.
12. 12.Find the value of 4n − 9 when n = 4.
13. 13.Meera has m kites. A friend has 9 more. Which expression shows how many kites the friend has? (a) m − 9 (b) 9m (c) m + 9 (d) m ÷ 9
14. 14.Solve: p + 3 = 6. What is p?
15. 15.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
16. 16.Find the value of 8y − 2 when y = 1.
17. 17.Find the value of 2y − 1 when y = 12.
18. 18.Sneha has k laddoos. A friend has 4 fewer. Which expression shows how many laddoos the friend has? (a) 4k (b) k ÷ 4 (c) k − 4 (d) k + 4
19. 19.Solve: p − 2 = 8. What is p?
20. 20.Find the value of 3m + 17 when m = 8.
21. 21.Solve: x + 8 = 27. What is x?
22. 22.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
23. 23.Find the value of 4x − 2 when x = 6.
24. 24.Find the value of 8p − 3 when p = 4.
25. 25.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
26. 26.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 13 letters?
27. 27.Find the value of 6a + 7b when a = 9 and b = 5.
28. 28.Priya has m marbles. A friend has 3 fewer. Which expression shows how many marbles the friend has? (a) m − 3 (b) 3m (c) m + 3 (d) m ÷ 3
29. 29.Find the value of 8x + 20 when x = 4.
30. 30.Find the value of 9a + 9b when a = 7 and b = 6.
31. 31.Solve: t ÷ 9 = 9. What is t?
32. 32.Find the value of 2y − 15 when y = 9.
33. 33.Find the value of 6m + 3 when m = 10.
34. 34.Find the value of 4x + 16 when x = 10.
35. 35.Find the value of 3x − 1 when x = 3.
36. 36.Find the value of 2p − 7 when p = 12.
37. 37.Solve: n + 3 = 14. What is n?
38. 38.Find the value of 8p + 10 when p = 9.
39. 39.Manav has k mangoes. A friend has 9 fewer. Which expression shows how many mangoes the friend has? (a) k + 9 (b) 9k (c) k − 9 (d) k ÷ 9
40. 40.Manav has n balls. A friend has 4 times as many. Which expression shows how many balls the friend has? (a) n + 4 (b) 4n (c) n ÷ 4 (d) n − 4

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