Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 80 · 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 E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 12 letters?
2. 2.Solve: 3t = 57. What is t?
3. 3.Find the value of 5p − 20 when p = 7.
4. 4.Find the value of 2a + 5b when a = 6 and b = 9.
5. 5.Vivaan shares m flowers equally among 6 friends. Which expression shows how many flowers each friend gets? (a) m − 6 (b) m ÷ 6 (c) 6m (d) m + 6
6. 6.Find the value of 7x − 5 when x = 8.
7. 7.Zoya has p mangoes. A friend has 3 more. Which expression shows how many mangoes the friend has? (a) p − 3 (b) p ÷ 3 (c) p + 3 (d) 3p
8. 8.Find the value of 3a + 6b when a = 9 and b = 7.
9. 9.Solve: y − 3 = 6. What is y?
10. 10.Solve: n − 10 = 1. What is n?
11. 11.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 29 letters?
12. 12.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
13. 13.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
14. 14.Karan has p kites. A friend has 8 fewer. Which expression shows how many kites the friend has? (a) p + 8 (b) p ÷ 8 (c) 8p (d) p − 8
15. 15.Find the value of 4p + 1 when p = 5.
16. 16.Find the value of 6a + 2b when a = 5 and b = 6.
17. 17.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
18. 18.Find the value of 6a + 6b when a = 5 and b = 8.
19. 19.Arjun has m mangoes. A friend has 3 fewer. Which expression shows how many mangoes the friend has? (a) m + 3 (b) 3m (c) m ÷ 3 (d) m − 3
20. 20.Find the value of 7a + 8b when a = 4 and b = 5.
21. 21.Rahul has p laddoos. A friend has 8 times as many. Which expression shows how many laddoos the friend has? (a) p − 8 (b) 8p (c) p ÷ 8 (d) p + 8
22. 22.Find the value of 2a + 8b when a = 2 and b = 2.
23. 23.Pooja shares k shells equally among 9 friends. Which expression shows how many shells each friend gets? (a) k − 9 (b) k ÷ 9 (c) k + 9 (d) 9k
24. 24.Find the value of 2a + 3b when a = 4 and b = 1.
25. 25.Find the value of 4a + 3b when a = 9 and b = 5.
26. 26.Find the value of 2a + 3b when a = 7 and b = 3.
27. 27.Find the value of 2a + 8b when a = 4 and b = 6.
28. 28.Find the value of 4x + 17 when x = 3.
29. 29.Solve: 6n = 24. What is n?
30. 30.Find the value of 9a + 6b when a = 7 and b = 10.
31. 31.Find the value of 3n + 2 when n = 12.
32. 32.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
33. 33.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
34. 34.Find the value of 5t + 4 when t = 4.
35. 35.Find the value of 7a + 7b when a = 9 and b = 6.
36. 36.Find the value of 6y + 3 when y = 2.
37. 37.Find the value of 4y − 5 when y = 6.
38. 38.Find the value of 3n + 2 when n = 11.
39. 39.Gurpreet has m kites. A friend has 7 times as many. Which expression shows how many kites the friend has? (a) m ÷ 7 (b) m + 7 (c) m − 7 (d) 7m
40. 40.Find the value of 4a + 8b when a = 5 and b = 9.

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