Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 540 · 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 6n + 20 when n = 10.
2. 2.Find the value of 6a + 3b when a = 4 and b = 10.
3. 3.Solve: y − 3 = 8. What is y?
4. 4.Find the value of 4y − 16 when y = 7.
5. 5.Solve: y ÷ 9 = 9. What is y?
6. 6.Rahul has m bananas. A friend has 3 more. Which expression shows how many bananas the friend has? (a) m ÷ 3 (b) m − 3 (c) 3m (d) m + 3
7. 7.Find the value of 5a + 6b when a = 5 and b = 5.
8. 8.Solve: n ÷ 6 = 17. What is n?
9. 9.Solve: y + 4 = 6. What is y?
10. 10.Nisha has m crayons. A friend has 3 more. Which expression shows how many crayons the friend has? (a) m − 3 (b) 3m (c) m + 3 (d) m ÷ 3
11. 11.Find the value of 4t − 1 when t = 1.
12. 12.Find the value of 6y − 12 when y = 3.
13. 13.Find the value of 5a + 4b when a = 4 and b = 2.
14. 14.Pooja has p balls. A friend has 8 more. Which expression shows how many balls the friend has? (a) p ÷ 8 (b) p + 8 (c) 8p (d) p − 8
15. 15.Find the value of 9x + 5 when x = 3.
16. 16.Find the value of 2a + 8b when a = 6 and b = 1.
17. 17.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 13 letters?
18. 18.Ananya has m flowers. A friend has 4 more. Which expression shows how many flowers the friend has? (a) m − 4 (b) m ÷ 4 (c) m + 4 (d) 4m
19. 19.Find the value of 3a + 3b when a = 3 and b = 10.
20. 20.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
21. 21.Solve: n ÷ 8 = 9. What is n?
22. 22.Dev has k mangoes. A friend has 9 more. Which expression shows how many mangoes the friend has? (a) k ÷ 9 (b) 9k (c) k + 9 (d) k − 9
23. 23.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 18 letters?
24. 24.Find the value of 2a + 3b when a = 9 and b = 4.
25. 25.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 29 letters?
26. 26.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 21 letters?
27. 27.Solve: 4y = 16. What is y?
28. 28.Find the value of 4y − 7 when y = 2.
29. 29.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
30. 30.Find the value of 8a + 3b when a = 9 and b = 7.
31. 31.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 16 letters?
32. 32.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 20 letters?
33. 33.Solve: 4x = 32. What is x?
34. 34.Solve: m − 11 = 20. What is m?
35. 35.Solve: n + 9 = 10. What is n?
36. 36.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
37. 37.Find the value of 8a + 4b when a = 6 and b = 6.
38. 38.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
39. 39.Find the value of 6t + 16 when t = 4.
40. 40.Solve: 4p = 4. What is p?

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