Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 157 · 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.Solve: m ÷ 12 = 13. What is m?
2. 2.Tara has n pencils. A friend has 3 more. Which expression shows how many pencils the friend has? (a) n − 3 (b) 3n (c) n ÷ 3 (d) n + 3
3. 3.Solve: n − 4 = 10. What is n?
4. 4.Find the value of 6p + 8 when p = 11.
5. 5.Solve: m − 10 = 7. What is m?
6. 6.Find the value of 5a + 3b when a = 2 and b = 9.
7. 7.Solve: t + 7 = 24. What is t?
8. 8.Riya shares m books equally among 9 friends. Which expression shows how many books each friend gets? (a) m ÷ 9 (b) m − 9 (c) m + 9 (d) 9m
9. 9.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 20 letters?
10. 10.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
11. 11.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 18 letters?
12. 12.Find the value of 6t − 41 when t = 9.
13. 13.Solve: n + 4 = 21. What is n?
14. 14.Find the value of 7y + 14 when y = 6.
15. 15.Find the value of 5a + 8b when a = 2 and b = 2.
16. 16.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 24 letters?
17. 17.Find the value of 2a + 2b when a = 1 and b = 7.
18. 18.Find the value of 6t + 13 when t = 8.
19. 19.Find the value of 3n + 12 when n = 11.
20. 20.Find the value of 4x − 12 when x = 4.
21. 21.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 30 letters?
22. 22.Find the value of 3t − 30 when t = 12.
23. 23.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
24. 24.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 27 letters?
25. 25.Find the value of 4a + 4b when a = 2 and b = 10.
26. 26.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
27. 27.Find the value of 2x − 1 when x = 1.
28. 28.Solve: m − 5 = 3. What is m?
29. 29.Solve: x + 8 = 12. What is x?
30. 30.Priya has n balloons. A friend has 2 more. Which expression shows how many balloons the friend has? (a) n + 2 (b) n ÷ 2 (c) 2n (d) n − 2
31. 31.Solve: 2t = 30. What is t?
32. 32.Zoya has m balls. A friend has 2 times as many. Which expression shows how many balls the friend has? (a) m ÷ 2 (b) 2m (c) m + 2 (d) m − 2
33. 33.Find the value of 8a + 5b when a = 2 and b = 7.
34. 34.Solve: m − 9 = 8. What is m?
35. 35.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
36. 36.Arjun shares m balloons equally among 5 friends. Which expression shows how many balloons each friend gets? (a) m − 5 (b) 5m (c) m ÷ 5 (d) m + 5
37. 37.Ishaan has k balls. A friend has 3 fewer. Which expression shows how many balls the friend has? (a) 3k (b) k − 3 (c) k ÷ 3 (d) k + 3
38. 38.Find the value of 6a + 5b when a = 6 and b = 9.
39. 39.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
40. 40.Find the value of 7a + 7b when a = 2 and b = 7.

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