Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 329 · 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: 5x = 55. What is x?
2. 2.Solve: m + 10 = 22. What is m?
3. 3.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
4. 4.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
5. 5.Meera has n pencils. A friend has 9 times as many. Which expression shows how many pencils the friend has? (a) n + 9 (b) n − 9 (c) n ÷ 9 (d) 9n
6. 6.Find the value of 3a + 4b when a = 5 and b = 5.
7. 7.Find the value of 7p + 2 when p = 12.
8. 8.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 26 letters?
9. 9.Lakshmi has m pencils. A friend has 2 more. Which expression shows how many pencils the friend has? (a) m − 2 (b) 2m (c) m + 2 (d) m ÷ 2
10. 10.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
11. 11.Karan has m bananas. A friend has 5 more. Which expression shows how many bananas the friend has? (a) m ÷ 5 (b) m − 5 (c) 5m (d) m + 5
12. 12.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 30 letters?
13. 13.Find the value of 9m + 17 when m = 8.
14. 14.Solve: 10p = 160. What is p?
15. 15.Tara shares k laddoos equally among 3 friends. Which expression shows how many laddoos each friend gets? (a) k − 3 (b) k ÷ 3 (c) 3k (d) k + 3
16. 16.Find the value of 9p − 49 when p = 10.
17. 17.Find the value of 5p + 19 when p = 2.
18. 18.Find the value of 3a + 3b when a = 10 and b = 1.
19. 19.Solve: x − 4 = 11. What is x?
20. 20.Find the value of 8m + 15 when m = 7.
21. 21.Find the value of 2x − 7 when x = 12.
22. 22.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 26 letters?
23. 23.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
24. 24.Find the value of 9x + 4 when x = 10.
25. 25.Find the value of 9p − 4 when p = 2.
26. 26.Find the value of 2m − 6 when m = 6.
27. 27.Find the value of 2y + 10 when y = 10.
28. 28.Zoya has k flowers. A friend has 7 more. Which expression shows how many flowers the friend has? (a) k + 7 (b) 7k (c) k − 7 (d) k ÷ 7
29. 29.Find the value of 8a + 6b when a = 3 and b = 9.
30. 30.Find the value of 5y − 1 when y = 1.
31. 31.Find the value of 2x + 20 when x = 10.
32. 32.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 18 letters?
33. 33.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
34. 34.Solve: 3m = 15. What is m?
35. 35.Solve: m − 6 = 6. What is m?
36. 36.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
37. 37.Find the value of 2n − 1 when n = 2.
38. 38.Solve: t + 10 = 11. What is t?
39. 39.Solve: t − 12 = 6. What is t?
40. 40.Pooja has m pencils. A friend has 6 fewer. Which expression shows how many pencils the friend has? (a) m − 6 (b) m ÷ 6 (c) 6m (d) m + 6

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