Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 69 · 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 3y − 8 when y = 11.
2. 2.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 28 letters?
3. 3.Find the value of 3m − 6 when m = 3.
4. 4.Solve: y ÷ 6 = 18. What is y?
5. 5.Find the value of 3a + 5b when a = 6 and b = 8.
6. 6.Solve: 3y = 15. What is y?
7. 7.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
8. 8.Aditya has p kites. A friend has 4 fewer. Which expression shows how many kites the friend has? (a) p ÷ 4 (b) 4p (c) p − 4 (d) p + 4
9. 9.Find the value of 8t − 2 when t = 9.
10. 10.Meera has n balls. A friend has 5 times as many. Which expression shows how many balls the friend has? (a) n − 5 (b) n + 5 (c) n ÷ 5 (d) 5n
11. 11.Find the value of 2t + 14 when t = 1.
12. 12.Solve: 3y = 18. What is y?
13. 13.Find the value of 3y + 10 when y = 1.
14. 14.Find the value of 6m + 12 when m = 8.
15. 15.Meera has n balls. A friend has 6 more. Which expression shows how many balls the friend has? (a) n + 6 (b) n − 6 (c) n ÷ 6 (d) 6n
16. 16.Find the value of 3t − 4 when t = 2.
17. 17.Solve: n ÷ 2 = 5. What is n?
18. 18.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 22 letters?
19. 19.Solve: y − 3 = 18. What is y?
20. 20.Find the value of 7a + 7b when a = 2 and b = 9.
21. 21.Find the value of 8t + 16 when t = 3.
22. 22.Karan has p flowers. A friend has 5 times as many. Which expression shows how many flowers the friend has? (a) p ÷ 5 (b) p − 5 (c) 5p (d) p + 5
23. 23.Dev has p crayons. A friend has 3 more. Which expression shows how many crayons the friend has? (a) p + 3 (b) 3p (c) p ÷ 3 (d) p − 3
24. 24.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 23 letters?
25. 25.Find the value of 5a + 9b when a = 1 and b = 10.
26. 26.Find the value of 8a + 2b when a = 7 and b = 6.
27. 27.Solve: t + 7 = 25. What is t?
28. 28.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
29. 29.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 5 letters?
30. 30.Find the value of 2x + 15 when x = 2.
31. 31.Saanvi shares p crayons equally among 8 friends. Which expression shows how many crayons each friend gets? (a) 8p (b) p + 8 (c) p − 8 (d) p ÷ 8
32. 32.Find the value of 9a + 7b when a = 7 and b = 3.
33. 33.Find the value of 3x + 18 when x = 12.
34. 34.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 18 letters?
35. 35.Find the value of 4x − 9 when x = 6.
36. 36.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
37. 37.Sneha shares m crayons equally among 5 friends. Which expression shows how many crayons each friend gets? (a) m + 5 (b) m ÷ 5 (c) 5m (d) m − 5
38. 38.Kavya has k balls. A friend has 2 fewer. Which expression shows how many balls the friend has? (a) 2k (b) k ÷ 2 (c) k + 2 (d) k − 2
39. 39.Aarav has m balloons. A friend has 6 more. Which expression shows how many balloons the friend has? (a) m − 6 (b) m ÷ 6 (c) 6m (d) m + 6
40. 40.Meera has n flowers. A friend has 8 more. Which expression shows how many flowers the friend has? (a) n ÷ 8 (b) n + 8 (c) 8n (d) n − 8

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