Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 42 · 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.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
2. 2.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 6 letters?
3. 3.Find the value of 7a + 4b when a = 3 and b = 5.
4. 4.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
5. 5.Find the value of 6a + 8b when a = 6 and b = 8.
6. 6.Solve: y ÷ 2 = 9. What is y?
7. 7.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
8. 8.Find the value of 4a + 5b when a = 1 and b = 1.
9. 9.Nisha has k balls. A friend has 5 more. Which expression shows how many balls the friend has? (a) k + 5 (b) 5k (c) k − 5 (d) k ÷ 5
10. 10.Find the value of 5a + 9b when a = 1 and b = 3.
11. 11.Find the value of 9p − 28 when p = 6.
12. 12.Find the value of 7t + 17 when t = 6.
13. 13.Find the value of 3t + 7 when t = 2.
14. 14.Find the value of 6a + 9b when a = 9 and b = 1.
15. 15.Solve: p − 11 = 11. What is p?
16. 16.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?
17. 17.Find the value of 3a + 4b when a = 7 and b = 2.
18. 18.Find the value of 9m + 1 when m = 1.
19. 19.Nisha shares m balls equally among 4 friends. Which expression shows how many balls each friend gets? (a) 4m (b) m − 4 (c) m ÷ 4 (d) m + 4
20. 20.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 30 letters?
21. 21.Find the value of 3a + 3b when a = 8 and b = 3.
22. 22.Find the value of 6n + 17 when n = 5.
23. 23.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 23 letters?
24. 24.Arjun has m flowers. A friend has 4 times as many. Which expression shows how many flowers the friend has? (a) m + 4 (b) m − 4 (c) 4m (d) m ÷ 4
25. 25.Find the value of 9y − 16 when y = 3.
26. 26.Find the value of 6a + 7b when a = 3 and b = 10.
27. 27.Solve: m − 9 = 11. What is m?
28. 28.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 25 letters?
29. 29.Solve: t ÷ 10 = 1. What is t?
30. 30.Kabir has n mangoes. A friend has 6 fewer. Which expression shows how many mangoes the friend has? (a) n − 6 (b) n + 6 (c) 6n (d) n ÷ 6
31. 31.Find the value of 5x + 3 when x = 11.
32. 32.Aarav has p shells. A friend has 4 times as many. Which expression shows how many shells the friend has? (a) p − 4 (b) p + 4 (c) 4p (d) p ÷ 4
33. 33.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
34. 34.Kavya has k bananas. A friend has 4 more. Which expression shows how many bananas the friend has? (a) 4k (b) k ÷ 4 (c) k + 4 (d) k − 4
35. 35.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
36. 36.Find the value of 9a + 8b when a = 6 and b = 4.
37. 37.Solve: m − 10 = 3. What is m?
38. 38.Karan has n kites. A friend has 6 times as many. Which expression shows how many kites the friend has? (a) n − 6 (b) n + 6 (c) n ÷ 6 (d) 6n
39. 39.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 16 letters?
40. 40.Find the value of 4n + 6 when n = 10.

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