Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 486 · 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 7n − 12 when n = 11.
2. 2.Find the value of 6a + 4b when a = 6 and b = 4.
3. 3.Find the value of 4m − 11 when m = 8.
4. 4.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
5. 5.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
6. 6.Find the value of 4a + 9b when a = 2 and b = 7.
7. 7.Find the value of 4a + 7b when a = 10 and b = 8.
8. 8.Find the value of 8p − 10 when p = 8.
9. 9.Solve: 4n = 16. What is n?
10. 10.Solve: p − 9 = 8. What is p?
11. 11.Kabir has n balls. A friend has 4 times as many. Which expression shows how many balls the friend has? (a) n ÷ 4 (b) n + 4 (c) n − 4 (d) 4n
12. 12.Find the value of 5a + 4b when a = 6 and b = 9.
13. 13.Tara has p balloons. A friend has 6 more. Which expression shows how many balloons the friend has? (a) 6p (b) p ÷ 6 (c) p − 6 (d) p + 6
14. 14.Find the value of 7a + 7b when a = 8 and b = 6.
15. 15.Find the value of 2x − 8 when x = 11.
16. 16.Find the value of 6a + 6b when a = 8 and b = 2.
17. 17.Find the value of 8a + 3b when a = 9 and b = 7.
18. 18.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 30 letters?
19. 19.Find the value of 6a + 6b when a = 2 and b = 2.
20. 20.Find the value of 3y + 13 when y = 1.
21. 21.Solve: p ÷ 6 = 10. What is p?
22. 22.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?
23. 23.Kabir shares m shells equally among 4 friends. Which expression shows how many shells each friend gets? (a) m − 4 (b) 4m (c) m + 4 (d) m ÷ 4
24. 24.Solve: t + 9 = 13. What is t?
25. 25.Find the value of 9a + 9b when a = 6 and b = 3.
26. 26.Find the value of 3y + 4 when y = 6.
27. 27.Find the value of 4x + 5 when x = 11.
28. 28.Aarav has m mangoes. A friend has 3 times as many. Which expression shows how many mangoes the friend has? (a) m ÷ 3 (b) 3m (c) m − 3 (d) m + 3
29. 29.Riya has m bananas. A friend has 2 more. Which expression shows how many bananas the friend has? (a) m ÷ 2 (b) m − 2 (c) 2m (d) m + 2
30. 30.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
31. 31.Solve: m ÷ 9 = 18. What is m?
32. 32.Find the value of 4a + 3b when a = 10 and b = 7.
33. 33.Kavya has m flowers. A friend has 4 fewer. Which expression shows how many flowers the friend has? (a) m + 4 (b) m ÷ 4 (c) 4m (d) m − 4
34. 34.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 16 letters?
35. 35.Solve: 8n = 160. What is n?
36. 36.Find the value of 6a + 9b when a = 10 and b = 10.
37. 37.Find the value of 2n + 4 when n = 10.
38. 38.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 21 letters?
39. 39.Ishaan has k balloons. A friend has 4 fewer. Which expression shows how many balloons the friend has? (a) k − 4 (b) k ÷ 4 (c) k + 4 (d) 4k
40. 40.Find the value of 6m − 16 when m = 3.

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