Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 494 · 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 4p + 4 when p = 4.
2. 2.Lakshmi has m bananas. A friend has 9 fewer. Which expression shows how many bananas the friend has? (a) 9m (b) m + 9 (c) m ÷ 9 (d) m − 9
3. 3.Vivaan has m shells. A friend has 6 times as many. Which expression shows how many shells the friend has? (a) 6m (b) m − 6 (c) m + 6 (d) m ÷ 6
4. 4.Find the value of 6p − 37 when p = 9.
5. 5.Find the value of 6a + 8b when a = 7 and b = 1.
6. 6.Find the value of 2a + 9b when a = 3 and b = 4.
7. 7.Aarav has p laddoos. A friend has 7 more. Which expression shows how many laddoos the friend has? (a) 7p (b) p − 7 (c) p + 7 (d) p ÷ 7
8. 8.Find the value of 7a + 8b when a = 9 and b = 1.
9. 9.Solve: p ÷ 7 = 19. What is p?
10. 10.Solve: y − 6 = 13. What is y?
11. 11.Meera shares k mangoes equally among 3 friends. Which expression shows how many mangoes each friend gets? (a) k − 3 (b) k + 3 (c) 3k (d) k ÷ 3
12. 12.Solve: m + 12 = 30. What is m?
13. 13.Solve: x − 2 = 17. What is x?
14. 14.Solve: 4x = 36. What is x?
15. 15.Joseph has n mangoes. A friend has 8 fewer. Which expression shows how many mangoes the friend has? (a) n − 8 (b) 8n (c) n ÷ 8 (d) n + 8
16. 16.Find the value of 7a + 9b when a = 6 and b = 2.
17. 17.Find the value of 3p + 20 when p = 1.
18. 18.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 24 letters?
19. 19.Rohan has k mangoes. A friend has 3 fewer. Which expression shows how many mangoes the friend has? (a) k ÷ 3 (b) k − 3 (c) k + 3 (d) 3k
20. 20.Find the value of 6a + 9b when a = 2 and b = 3.
21. 21.Find the value of 2m + 3 when m = 1.
22. 22.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
23. 23.Find the value of 6a + 2b when a = 8 and b = 10.
24. 24.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 23 letters?
25. 25.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
26. 26.Solve: y − 12 = 14. What is y?
27. 27.Find the value of 6a + 3b when a = 1 and b = 2.
28. 28.Find the value of 4p + 1 when p = 10.
29. 29.Diya shares n flowers equally among 7 friends. Which expression shows how many flowers each friend gets? (a) 7n (b) n − 7 (c) n ÷ 7 (d) n + 7
30. 30.Find the value of 5a + 4b when a = 4 and b = 10.
31. 31.Solve: 4y = 56. What is y?
32. 32.Find the value of 8m − 5 when m = 1.
33. 33.Find the value of 8x − 24 when x = 11.
34. 34.Find the value of 7x + 15 when x = 3.
35. 35.Find the value of 8m + 3 when m = 7.
36. 36.Find the value of 9y + 4 when y = 11.
37. 37.Priya shares n laddoos equally among 3 friends. Which expression shows how many laddoos each friend gets? (a) n − 3 (b) 3n (c) n ÷ 3 (d) n + 3
38. 38.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
39. 39.Ananya has n bananas. A friend has 3 fewer. Which expression shows how many bananas the friend has? (a) 3n (b) n − 3 (c) n ÷ 3 (d) n + 3
40. 40.Riya shares n balloons equally among 5 friends. Which expression shows how many balloons each friend gets? (a) n + 5 (b) n ÷ 5 (c) 5n (d) n − 5

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