Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 129 · 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.Saanvi has m flowers. A friend has 4 more. Which expression shows how many flowers the friend has? (a) m + 4 (b) m ÷ 4 (c) m − 4 (d) 4m
2. 2.Find the value of 7a + 7b when a = 3 and b = 8.
3. 3.Find the value of 6a + 7b when a = 5 and b = 4.
4. 4.Arjun has p crayons. A friend has 9 more. Which expression shows how many crayons the friend has? (a) p ÷ 9 (b) p + 9 (c) p − 9 (d) 9p
5. 5.Find the value of 3m + 16 when m = 10.
6. 6.Solve: 2y = 26. What is y?
7. 7.Find the value of 9a + 4b when a = 7 and b = 3.
8. 8.Solve: p + 4 = 14. What is p?
9. 9.Find the value of 7a + 6b when a = 4 and b = 3.
10. 10.Find the value of 9a + 6b when a = 1 and b = 9.
11. 11.Ananya shares k crayons equally among 9 friends. Which expression shows how many crayons each friend gets? (a) k + 9 (b) 9k (c) k − 9 (d) k ÷ 9
12. 12.Find the value of 4m + 5 when m = 1.
13. 13.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 18 letters?
14. 14.Solve: p ÷ 3 = 18. What is p?
15. 15.Kabir has m shells. A friend has 7 fewer. Which expression shows how many shells the friend has? (a) m ÷ 7 (b) m + 7 (c) 7m (d) m − 7
16. 16.Lakshmi has n crayons. A friend has 8 times as many. Which expression shows how many crayons the friend has? (a) 8n (b) n ÷ 8 (c) n − 8 (d) n + 8
17. 17.Zoya has m bananas. A friend has 9 more. Which expression shows how many bananas the friend has? (a) m − 9 (b) 9m (c) m ÷ 9 (d) m + 9
18. 18.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 30 letters?
19. 19.Joseph has n flowers. A friend has 9 times as many. Which expression shows how many flowers the friend has? (a) n ÷ 9 (b) n + 9 (c) 9n (d) n − 9
20. 20.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
21. 21.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 20 letters?
22. 22.Solve: n + 11 = 26. What is n?
23. 23.Find the value of 3y + 2 when y = 4.
24. 24.Find the value of 2a + 9b when a = 7 and b = 2.
25. 25.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 17 letters?
26. 26.Find the value of 3a + 5b when a = 9 and b = 2.
27. 27.Solve: p − 3 = 11. What is p?
28. 28.Find the value of 3a + 6b when a = 1 and b = 5.
29. 29.Find the value of 7t + 20 when t = 1.
30. 30.Find the value of 8m − 61 when m = 8.
31. 31.Find the value of 9p + 17 when p = 6.
32. 32.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 19 letters?
33. 33.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
34. 34.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
35. 35.Find the value of 2n − 10 when n = 8.
36. 36.Find the value of 8y − 2 when y = 5.
37. 37.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?
38. 38.Find the value of 2p + 1 when p = 10.
39. 39.Vivaan has k shells. A friend has 3 fewer. Which expression shows how many shells the friend has? (a) k + 3 (b) k ÷ 3 (c) k − 3 (d) 3k
40. 40.Solve: 8m = 40. What is m?

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