Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 57 · 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 6a + 2b when a = 5 and b = 2.
2. 2.Rohan shares n shells equally among 3 friends. Which expression shows how many shells each friend gets? (a) n − 3 (b) 3n (c) n ÷ 3 (d) n + 3
3. 3.Find the value of 5x + 11 when x = 6.
4. 4.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
5. 5.Find the value of 4a + 6b when a = 5 and b = 3.
6. 6.Solve: m ÷ 11 = 2. What is m?
7. 7.Find the value of 8a + 6b when a = 2 and b = 3.
8. 8.Zoya shares k shells equally among 5 friends. Which expression shows how many shells each friend gets? (a) k − 5 (b) k + 5 (c) 5k (d) k ÷ 5
9. 9.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
10. 10.Solve: x + 11 = 20. What is x?
11. 11.Find the value of 9m − 56 when m = 9.
12. 12.Solve: x + 9 = 19. What is x?
13. 13.Solve: 6y = 6. What is y?
14. 14.Solve: y + 5 = 8. What is y?
15. 15.Find the value of 8y + 17 when y = 11.
16. 16.Kabir has k books. A friend has 8 more. Which expression shows how many books the friend has? (a) 8k (b) k + 8 (c) k − 8 (d) k ÷ 8
17. 17.Find the value of 8y − 13 when y = 3.
18. 18.Find the value of 8m + 14 when m = 1.
19. 19.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
20. 20.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 27 letters?
21. 21.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 8 letters?
22. 22.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 26 letters?
23. 23.Solve: y ÷ 3 = 4. What is y?
24. 24.Tara shares k kites equally among 2 friends. Which expression shows how many kites each friend gets? (a) k − 2 (b) 2k (c) k ÷ 2 (d) k + 2
25. 25.Find the value of 7a + 5b when a = 8 and b = 1.
26. 26.Find the value of 6a + 7b when a = 10 and b = 1.
27. 27.Vivaan shares k pencils equally among 9 friends. Which expression shows how many pencils each friend gets? (a) k − 9 (b) 9k (c) k ÷ 9 (d) k + 9
28. 28.Find the value of 3y − 3 when y = 4.
29. 29.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 15 letters?
30. 30.Find the value of 4p + 16 when p = 4.
31. 31.Find the value of 4a + 3b when a = 7 and b = 1.
32. 32.Solve: 11p = 22. What is p?
33. 33.Lakshmi has p shells. A friend has 4 fewer. Which expression shows how many shells the friend has? (a) 4p (b) p − 4 (c) p ÷ 4 (d) p + 4
34. 34.Find the value of 2a + 5b when a = 3 and b = 3.
35. 35.Find the value of 3a + 3b when a = 3 and b = 5.
36. 36.Find the value of 9m + 8 when m = 12.
37. 37.Saanvi has p mangoes. A friend has 4 times as many. Which expression shows how many mangoes the friend has? (a) p − 4 (b) p ÷ 4 (c) 4p (d) p + 4
38. 38.Solve: n ÷ 11 = 13. What is n?
39. 39.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
40. 40.Find the value of 8x + 2 when x = 3.

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