Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 27 · 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 U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
2. 2.Aarav has p books. A friend has 2 fewer. Which expression shows how many books the friend has? (a) p + 2 (b) 2p (c) p ÷ 2 (d) p − 2
3. 3.Find the value of 2m + 2 when m = 4.
4. 4.Find the value of 5p + 17 when p = 1.
5. 5.Find the value of 7a + 5b when a = 9 and b = 2.
6. 6.Diya has m pencils. A friend has 9 times as many. Which expression shows how many pencils the friend has? (a) m + 9 (b) m − 9 (c) m ÷ 9 (d) 9m
7. 7.Find the value of 2y + 8 when y = 1.
8. 8.Find the value of 3y + 3 when y = 10.
9. 9.Solve: 8p = 136. What is p?
10. 10.Rohan has k crayons. A friend has 3 fewer. Which expression shows how many crayons the friend has? (a) 3k (b) k + 3 (c) k − 3 (d) k ÷ 3
11. 11.Find the value of 6m − 3 when m = 2.
12. 12.Find the value of 3a + 7b when a = 2 and b = 3.
13. 13.Lakshmi has m shells. A friend has 3 times as many. Which expression shows how many shells the friend has? (a) m ÷ 3 (b) 3m (c) m − 3 (d) m + 3
14. 14.Find the value of 4a + 9b when a = 10 and b = 8.
15. 15.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
16. 16.Solve: 9x = 153. What is x?
17. 17.Isha shares m shells equally among 3 friends. Which expression shows how many shells each friend gets? (a) 3m (b) m + 3 (c) m − 3 (d) m ÷ 3
18. 18.Solve: 2y = 20. What is y?
19. 19.Find the value of 7p + 8 when p = 2.
20. 20.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 30 letters?
21. 21.Find the value of 2p − 17 when p = 10.
22. 22.Kavya has p balloons. A friend has 9 times as many. Which expression shows how many balloons the friend has? (a) 9p (b) p + 9 (c) p − 9 (d) p ÷ 9
23. 23.Find the value of 9a + 2b when a = 9 and b = 8.
24. 24.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 30 letters?
25. 25.Find the value of 4a + 6b when a = 4 and b = 5.
26. 26.Find the value of 4a + 7b when a = 8 and b = 2.
27. 27.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 15 letters?
28. 28.Aditya has p crayons. A friend has 2 times as many. Which expression shows how many crayons the friend has? (a) p ÷ 2 (b) 2p (c) p − 2 (d) p + 2
29. 29.Find the value of 9x − 3 when x = 4.
30. 30.Find the value of 7a + 2b when a = 3 and b = 9.
31. 31.Find the value of 2n + 7 when n = 10.
32. 32.Solve: n ÷ 10 = 3. What is n?
33. 33.Solve: x ÷ 5 = 4. What is x?
34. 34.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 26 letters?
35. 35.Find the value of 7a + 3b when a = 1 and b = 7.
36. 36.Solve: x ÷ 4 = 8. What is x?
37. 37.Saanvi shares n books equally among 3 friends. Which expression shows how many books each friend gets? (a) 3n (b) n + 3 (c) n ÷ 3 (d) n − 3
38. 38.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 9 letters?
39. 39.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?
40. 40.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?

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