Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 115 · 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.Solve: x + 6 = 14. What is x?
2. 2.Nisha has m pencils. A friend has 6 times as many. Which expression shows how many pencils the friend has? (a) m − 6 (b) m ÷ 6 (c) m + 6 (d) 6m
3. 3.Rahul has n shells. A friend has 8 times as many. Which expression shows how many shells the friend has? (a) 8n (b) n + 8 (c) n − 8 (d) n ÷ 8
4. 4.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 24 letters?
5. 5.Solve: m − 11 = 17. What is m?
6. 6.Find the value of 2p + 3 when p = 4.
7. 7.Solve: m ÷ 6 = 2. What is m?
8. 8.Find the value of 2a + 2b when a = 9 and b = 10.
9. 9.Manav shares k crayons equally among 3 friends. Which expression shows how many crayons each friend gets? (a) 3k (b) k ÷ 3 (c) k + 3 (d) k − 3
10. 10.Manav shares n flowers equally among 5 friends. Which expression shows how many flowers each friend gets? (a) 5n (b) n ÷ 5 (c) n − 5 (d) n + 5
11. 11.Find the value of 4x + 4 when x = 1.
12. 12.Find the value of 7a + 4b when a = 5 and b = 8.
13. 13.Find the value of 3a + 2b when a = 2 and b = 6.
14. 14.Find the value of 2a + 7b when a = 3 and b = 2.
15. 15.Sneha shares n shells equally among 2 friends. Which expression shows how many shells each friend gets? (a) n ÷ 2 (b) 2n (c) n + 2 (d) n − 2
16. 16.Gurpreet 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
17. 17.Find the value of 5a + 8b when a = 6 and b = 7.
18. 18.Find the value of 8p + 18 when p = 12.
19. 19.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 10 letters?
20. 20.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
21. 21.Find the value of 6a + 5b when a = 5 and b = 1.
22. 22.Find the value of 6a + 4b when a = 6 and b = 8.
23. 23.Solve: m − 4 = 9. What is m?
24. 24.Find the value of 7m − 13 when m = 4.
25. 25.Solve: 7x = 140. What is x?
26. 26.Solve: m ÷ 11 = 3. What is m?
27. 27.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
28. 28.Find the value of 9x − 4 when x = 2.
29. 29.Ishaan has p books. A friend has 6 more. Which expression shows how many books the friend has? (a) p ÷ 6 (b) p − 6 (c) 6p (d) p + 6
30. 30.Find the value of 6a + 6b when a = 4 and b = 9.
31. 31.Isha has k bananas. A friend has 8 times as many. Which expression shows how many bananas the friend has? (a) k ÷ 8 (b) 8k (c) k − 8 (d) k + 8
32. 32.Find the value of 5m − 9 when m = 3.
33. 33.Find the value of 3a + 7b when a = 10 and b = 10.
34. 34.Solve: p + 5 = 16. What is p?
35. 35.Find the value of 2m + 15 when m = 6.
36. 36.Find the value of 2p − 6 when p = 7.
37. 37.Solve: 9x = 45. What is x?
38. 38.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
39. 39.Find the value of 3y + 10 when y = 10.
40. 40.Solve: n ÷ 3 = 15. What is n?

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