Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 425 · 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.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
2. 2.Find the value of 6a + 6b when a = 3 and b = 1.
3. 3.Find the value of 4y − 10 when y = 10.
4. 4.Solve: x ÷ 7 = 15. What is x?
5. 5.Find the value of 6p − 8 when p = 4.
6. 6.Solve: t + 8 = 12. What is t?
7. 7.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
8. 8.Vivaan shares k shells equally among 8 friends. Which expression shows how many shells each friend gets? (a) k − 8 (b) k ÷ 8 (c) k + 8 (d) 8k
9. 9.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 13 letters?
10. 10.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
11. 11.Joseph shares k shells equally among 8 friends. Which expression shows how many shells each friend gets? (a) k ÷ 8 (b) k − 8 (c) k + 8 (d) 8k
12. 12.Solve: y − 11 = 20. What is y?
13. 13.Find the value of 3t − 28 when t = 10.
14. 14.Find the value of 9a + 5b when a = 7 and b = 6.
15. 15.Solve: 7y = 35. What is y?
16. 16.Karan has n books. A friend has 6 more. Which expression shows how many books the friend has? (a) n ÷ 6 (b) n − 6 (c) n + 6 (d) 6n
17. 17.Find the value of 8t − 32 when t = 9.
18. 18.Rohan has p marbles. A friend has 7 more. Which expression shows how many marbles the friend has? (a) p − 7 (b) 7p (c) p + 7 (d) p ÷ 7
19. 19.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 30 letters?
20. 20.Find the value of 2p − 7 when p = 5.
21. 21.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
22. 22.Solve: x − 12 = 13. What is x?
23. 23.Find the value of 2a + 8b when a = 6 and b = 4.
24. 24.Arjun has m crayons. A friend has 2 times as many. Which expression shows how many crayons the friend has? (a) m + 2 (b) 2m (c) m ÷ 2 (d) m − 2
25. 25.Solve: p ÷ 5 = 2. What is p?
26. 26.Solve: p ÷ 8 = 9. What is p?
27. 27.Vivaan has m balloons. A friend has 3 fewer. Which expression shows how many balloons the friend has? (a) 3m (b) m − 3 (c) m ÷ 3 (d) m + 3
28. 28.Diya has m laddoos. A friend has 5 more. Which expression shows how many laddoos the friend has? (a) 5m (b) m + 5 (c) m ÷ 5 (d) m − 5
29. 29.Find the value of 5a + 8b when a = 4 and b = 5.
30. 30.Solve: x − 4 = 11. What is x?
31. 31.Find the value of 2m − 2 when m = 2.
32. 32.Find the value of 2a + 5b when a = 7 and b = 4.
33. 33.Rohan has p shells. A friend has 4 more. Which expression shows how many shells the friend has? (a) 4p (b) p ÷ 4 (c) p + 4 (d) p − 4
34. 34.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
35. 35.Solve: n ÷ 11 = 16. What is n?
36. 36.Kavya has p books. A friend has 8 times as many. Which expression shows how many books the friend has? (a) p + 8 (b) 8p (c) p − 8 (d) p ÷ 8
37. 37.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
38. 38.Solve: m − 3 = 20. What is m?
39. 39.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 20 letters?
40. 40.Find the value of 3a + 2b when a = 9 and b = 2.

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