Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 509 · 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: 7n = 42. What is n?
2. 2.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 16 letters?
3. 3.Find the value of 7a + 6b when a = 6 and b = 3.
4. 4.Gurpreet has n bananas. A friend has 2 fewer. Which expression shows how many bananas the friend has? (a) n + 2 (b) n − 2 (c) 2n (d) n ÷ 2
5. 5.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
6. 6.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 6 letters?
7. 7.Find the value of 7a + 2b when a = 9 and b = 1.
8. 8.Find the value of 8n + 8 when n = 8.
9. 9.Find the value of 9a + 4b when a = 7 and b = 1.
10. 10.Sneha has n mangoes. A friend has 7 fewer. Which expression shows how many mangoes the friend has? (a) n − 7 (b) n + 7 (c) n ÷ 7 (d) 7n
11. 11.Find the value of 9n + 12 when n = 2.
12. 12.Find the value of 9m − 35 when m = 7.
13. 13.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 25 letters?
14. 14.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 28 letters?
15. 15.Find the value of 4a + 4b when a = 2 and b = 6.
16. 16.Karan has k crayons. A friend has 4 more. Which expression shows how many crayons the friend has? (a) k − 4 (b) k + 4 (c) 4k (d) k ÷ 4
17. 17.Find the value of 7x − 6 when x = 2.
18. 18.Find the value of 7t + 14 when t = 3.
19. 19.Find the value of 9a + 7b when a = 7 and b = 7.
20. 20.Find the value of 6x − 35 when x = 6.
21. 21.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
22. 22.Aarav has n balloons. A friend has 3 times as many. Which expression shows how many balloons the friend has? (a) n + 3 (b) n − 3 (c) 3n (d) n ÷ 3
23. 23.Find the value of 7m − 15 when m = 4.
24. 24.Find the value of 8n + 3 when n = 10.
25. 25.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 26 letters?
26. 26.Solve: t − 7 = 6. What is t?
27. 27.Joseph has m kites. A friend has 8 times as many. Which expression shows how many kites the friend has? (a) m − 8 (b) m ÷ 8 (c) 8m (d) m + 8
28. 28.Find the value of 6m + 5 when m = 4.
29. 29.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
30. 30.Find the value of 9m − 10 when m = 4.
31. 31.Isha shares p crayons equally among 6 friends. Which expression shows how many crayons each friend gets? (a) p − 6 (b) p ÷ 6 (c) p + 6 (d) 6p
32. 32.Find the value of 4m − 15 when m = 8.
33. 33.Solve: 2p = 6. What is p?
34. 34.Farhan has k kites. A friend has 5 times as many. Which expression shows how many kites the friend has? (a) k + 5 (b) k − 5 (c) k ÷ 5 (d) 5k
35. 35.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 21 letters?
36. 36.Find the value of 6a + 2b when a = 5 and b = 1.
37. 37.Find the value of 7t + 18 when t = 5.
38. 38.Find the value of 9x + 13 when x = 10.
39. 39.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 17 letters?
40. 40.Diya has p kites. A friend has 9 fewer. Which expression shows how many kites the friend has? (a) p ÷ 9 (b) p + 9 (c) p − 9 (d) 9p

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