Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 453 · 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.Find the value of 8a + 9b when a = 4 and b = 1.
2. 2.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
3. 3.Solve: p + 6 = 14. What is p?
4. 4.Nisha shares m balloons equally among 9 friends. Which expression shows how many balloons each friend gets? (a) m − 9 (b) 9m (c) m + 9 (d) m ÷ 9
5. 5.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 13 letters?
6. 6.Saanvi shares m bananas equally among 9 friends. Which expression shows how many bananas each friend gets? (a) 9m (b) m + 9 (c) m − 9 (d) m ÷ 9
7. 7.Find the value of 7a + 3b when a = 3 and b = 3.
8. 8.Priya has n marbles. A friend has 7 more. Which expression shows how many marbles the friend has? (a) n + 7 (b) n ÷ 7 (c) 7n (d) n − 7
9. 9.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 21 letters?
10. 10.Find the value of 2a + 3b when a = 7 and b = 5.
11. 11.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 29 letters?
12. 12.Meera has n marbles. A friend has 7 times as many. Which expression shows how many marbles the friend has? (a) n + 7 (b) n ÷ 7 (c) 7n (d) n − 7
13. 13.Find the value of 7p − 6 when p = 2.
14. 14.Find the value of 9a + 5b when a = 4 and b = 9.
15. 15.Ishaan has p balls. A friend has 3 times as many. Which expression shows how many balls the friend has? (a) p − 3 (b) p + 3 (c) p ÷ 3 (d) 3p
16. 16.Find the value of 2a + 3b when a = 2 and b = 5.
17. 17.Find the value of 7a + 2b when a = 7 and b = 10.
18. 18.Find the value of 3p − 15 when p = 10.
19. 19.Solve: x ÷ 8 = 17. What is x?
20. 20.Solve: y − 9 = 5. What is y?
21. 21.Find the value of 5x − 4 when x = 4.
22. 22.Find the value of 4a + 3b when a = 4 and b = 3.
23. 23.Find the value of 3p + 6 when p = 4.
24. 24.Find the value of 5x − 10 when x = 5.
25. 25.Find the value of 4m + 8 when m = 3.
26. 26.Find the value of 6n + 16 when n = 10.
27. 27.Find the value of 6a + 3b when a = 5 and b = 9.
28. 28.Find the value of 3a + 3b when a = 8 and b = 7.
29. 29.Solve: 2y = 30. What is y?
30. 30.Find the value of 5a + 2b when a = 9 and b = 3.
31. 31.Aarav has n laddoos. A friend has 6 fewer. Which expression shows how many laddoos the friend has? (a) n − 6 (b) n ÷ 6 (c) n + 6 (d) 6n
32. 32.Find the value of 7n + 5 when n = 4.
33. 33.Find the value of 4n − 12 when n = 12.
34. 34.Solve: 6n = 84. What is n?
35. 35.Find the value of 4p − 1 when p = 1.
36. 36.Find the value of 5y + 13 when y = 7.
37. 37.Priya has m balls. A friend has 8 more. Which expression shows how many balls the friend has? (a) m + 8 (b) m ÷ 8 (c) m − 8 (d) 8m
38. 38.Find the value of 2p − 1 when p = 1.
39. 39.Find the value of 7t − 14 when t = 4.
40. 40.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?

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