Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 350 · 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 F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
2. 2.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
3. 3.Find the value of 4m + 9 when m = 4.
4. 4.Find the value of 7n − 23 when n = 5.
5. 5.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
6. 6.Kavya has k balls. A friend has 2 times as many. Which expression shows how many balls the friend has? (a) k − 2 (b) 2k (c) k ÷ 2 (d) k + 2
7. 7.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 24 letters?
8. 8.Aditya has n bananas. A friend has 9 fewer. Which expression shows how many bananas the friend has? (a) n − 9 (b) n + 9 (c) n ÷ 9 (d) 9n
9. 9.Find the value of 4n + 4 when n = 7.
10. 10.Find the value of 3x − 1 when x = 12.
11. 11.Priya shares m shells equally among 5 friends. Which expression shows how many shells each friend gets? (a) m + 5 (b) m ÷ 5 (c) m − 5 (d) 5m
12. 12.Ishaan has p crayons. A friend has 3 fewer. Which expression shows how many crayons the friend has? (a) p − 3 (b) 3p (c) p ÷ 3 (d) p + 3
13. 13.Find the value of 4m + 3 when m = 5.
14. 14.Arjun has k balloons. A friend has 6 more. Which expression shows how many balloons the friend has? (a) k − 6 (b) 6k (c) k + 6 (d) k ÷ 6
15. 15.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 22 letters?
16. 16.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
17. 17.Karan has p crayons. A friend has 3 more. Which expression shows how many crayons the friend has? (a) p − 3 (b) p + 3 (c) p ÷ 3 (d) 3p
18. 18.Find the value of 5t − 44 when t = 12.
19. 19.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
20. 20.Solve: p ÷ 3 = 17. What is p?
21. 21.Solve: x − 9 = 15. What is x?
22. 22.Sneha shares n crayons equally among 2 friends. Which expression shows how many crayons each friend gets? (a) 2n (b) n − 2 (c) n + 2 (d) n ÷ 2
23. 23.Solve: y + 6 = 17. What is y?
24. 24.Solve: p + 11 = 17. What is p?
25. 25.Zoya shares n marbles equally among 5 friends. Which expression shows how many marbles each friend gets? (a) n + 5 (b) 5n (c) n ÷ 5 (d) n − 5
26. 26.Find the value of 3a + 7b when a = 2 and b = 5.
27. 27.Solve: y ÷ 3 = 18. What is y?
28. 28.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 25 letters?
29. 29.Solve: t ÷ 9 = 7. What is t?
30. 30.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 27 letters?
31. 31.Solve: x ÷ 11 = 1. What is x?
32. 32.Solve: 4x = 48. What is x?
33. 33.Find the value of 2a + 3b when a = 3 and b = 3.
34. 34.Find the value of 4a + 3b when a = 6 and b = 6.
35. 35.Solve: y + 4 = 12. What is y?
36. 36.Find the value of 7t + 8 when t = 3.
37. 37.Solve: t − 9 = 2. What is t?
38. 38.Find the value of 8y − 6 when y = 1.
39. 39.Find the value of 5a + 6b when a = 3 and b = 1.
40. 40.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?

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