Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 364 · 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 3a + 9b when a = 8 and b = 1.
2. 2.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
3. 3.Solve: x + 3 = 4. What is x?
4. 4.Find the value of 3a + 6b when a = 4 and b = 9.
5. 5.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
6. 6.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 18 letters?
7. 7.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
8. 8.Solve: n − 3 = 11. What is n?
9. 9.Find the value of 9y − 69 when y = 8.
10. 10.Find the value of 4x + 6 when x = 8.
11. 11.Farhan shares k kites equally among 2 friends. Which expression shows how many kites each friend gets? (a) k ÷ 2 (b) k + 2 (c) 2k (d) k − 2
12. 12.Find the value of 6y + 11 when y = 1.
13. 13.Manav has p laddoos. A friend has 3 times as many. Which expression shows how many laddoos the friend has? (a) 3p (b) p − 3 (c) p ÷ 3 (d) p + 3
14. 14.Find the value of 3a + 6b when a = 6 and b = 2.
15. 15.Solve: 2x = 10. What is x?
16. 16.Nisha has m pencils. A friend has 2 more. Which expression shows how many pencils the friend has? (a) m − 2 (b) m ÷ 2 (c) 2m (d) m + 2
17. 17.Solve: n ÷ 12 = 4. What is n?
18. 18.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 30 letters?
19. 19.Dev has p mangoes. A friend has 9 more. Which expression shows how many mangoes the friend has? (a) p − 9 (b) p + 9 (c) p ÷ 9 (d) 9p
20. 20.Solve: y ÷ 11 = 19. What is y?
21. 21.Find the value of 4a + 5b when a = 3 and b = 6.
22. 22.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 9 letters?
23. 23.Find the value of 9a + 2b when a = 5 and b = 9.
24. 24.Solve: y ÷ 9 = 16. What is y?
25. 25.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
26. 26.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
27. 27.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 26 letters?
28. 28.Find the value of 5y − 6 when y = 6.
29. 29.Solve: y + 9 = 15. What is y?
30. 30.Find the value of 9a + 7b when a = 5 and b = 7.
31. 31.Find the value of 5p + 6 when p = 5.
32. 32.Find the value of 5x − 8 when x = 3.
33. 33.Lakshmi has n mangoes. A friend has 6 fewer. Which expression shows how many mangoes the friend has? (a) n + 6 (b) n ÷ 6 (c) n − 6 (d) 6n
34. 34.Find the value of 7n + 16 when n = 6.
35. 35.Find the value of 9y − 33 when y = 4.
36. 36.Find the value of 4y − 8 when y = 5.
37. 37.Meera has m crayons. A friend has 4 fewer. Which expression shows how many crayons the friend has? (a) m − 4 (b) m + 4 (c) m ÷ 4 (d) 4m
38. 38.Solve: y + 7 = 8. What is y?
39. 39.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
40. 40.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?

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