Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 469 · 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.Lakshmi has m mangoes. A friend has 5 times as many. Which expression shows how many mangoes the friend has? (a) m − 5 (b) 5m (c) m + 5 (d) m ÷ 5
2. 2.Farhan has k shells. A friend has 7 fewer. Which expression shows how many shells the friend has? (a) 7k (b) k ÷ 7 (c) k + 7 (d) k − 7
3. 3.Find the value of 9a + 4b when a = 3 and b = 4.
4. 4.Find the value of 3x + 15 when x = 6.
5. 5.Find the value of 3x + 19 when x = 9.
6. 6.Diya has m pencils. A friend has 5 times as many. Which expression shows how many pencils the friend has? (a) m + 5 (b) 5m (c) m ÷ 5 (d) m − 5
7. 7.Solve: p ÷ 3 = 3. What is p?
8. 8.Solve: y + 6 = 14. What is y?
9. 9.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 20 letters?
10. 10.Find the value of 5x + 16 when x = 11.
11. 11.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 24 letters?
12. 12.Find the value of 9a + 3b when a = 10 and b = 4.
13. 13.Find the value of 7a + 4b when a = 2 and b = 8.
14. 14.Solve: t + 8 = 15. What is t?
15. 15.Solve: p ÷ 3 = 19. What is p?
16. 16.Zoya shares p books equally among 5 friends. Which expression shows how many books each friend gets? (a) p − 5 (b) p + 5 (c) 5p (d) p ÷ 5
17. 17.Find the value of 4x + 20 when x = 12.
18. 18.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 17 letters?
19. 19.Find the value of 7m + 14 when m = 3.
20. 20.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 13 letters?
21. 21.Zoya has k shells. A friend has 3 fewer. Which expression shows how many shells the friend has? (a) k + 3 (b) k ÷ 3 (c) k − 3 (d) 3k
22. 22.Find the value of 4m + 15 when m = 5.
23. 23.Find the value of 4m + 1 when m = 11.
24. 24.Find the value of 8p + 18 when p = 11.
25. 25.Solve: m − 5 = 20. What is m?
26. 26.Diya has n balls. A friend has 6 fewer. Which expression shows how many balls the friend has? (a) n − 6 (b) 6n (c) n ÷ 6 (d) n + 6
27. 27.Find the value of 8a + 8b when a = 4 and b = 9.
28. 28.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
29. 29.Solve: t + 5 = 12. What is t?
30. 30.Find the value of 5a + 7b when a = 4 and b = 6.
31. 31.Find the value of 8m + 8 when m = 12.
32. 32.Vivaan has n balls. A friend has 3 fewer. Which expression shows how many balls the friend has? (a) n + 3 (b) n ÷ 3 (c) 3n (d) n − 3
33. 33.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
34. 34.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
35. 35.Find the value of 9a + 3b when a = 2 and b = 10.
36. 36.Solve: p + 7 = 26. What is p?
37. 37.Find the value of 7t + 3 when t = 7.
38. 38.Solve: x − 3 = 3. What is x?
39. 39.Karan has m pencils. A friend has 4 times as many. Which expression shows how many pencils the friend has? (a) m + 4 (b) m − 4 (c) m ÷ 4 (d) 4m
40. 40.Find the value of 8a + 9b when a = 8 and b = 1.

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