Class 6 Maths Worksheet: Algebra

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

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