Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 496 · 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 V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 10 letters?
2. 2.Find the value of 9x − 3 when x = 2.
3. 3.Manav shares m marbles equally among 2 friends. Which expression shows how many marbles each friend gets? (a) 2m (b) m + 2 (c) m ÷ 2 (d) m − 2
4. 4.Solve: y ÷ 10 = 5. What is y?
5. 5.Nisha has n laddoos. A friend has 7 more. Which expression shows how many laddoos the friend has? (a) n + 7 (b) n − 7 (c) n ÷ 7 (d) 7n
6. 6.Farhan has p mangoes. A friend has 8 more. Which expression shows how many mangoes the friend has? (a) p − 8 (b) p + 8 (c) p ÷ 8 (d) 8p
7. 7.Find the value of 9m − 19 when m = 9.
8. 8.Find the value of 9a + 3b when a = 7 and b = 7.
9. 9.Find the value of 2n − 2 when n = 7.
10. 10.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 16 letters?
11. 11.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 27 letters?
12. 12.Find the value of 6a + 5b when a = 6 and b = 7.
13. 13.Solve: p − 11 = 19. What is p?
14. 14.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
15. 15.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 8 letters?
16. 16.Sneha shares n flowers equally among 3 friends. Which expression shows how many flowers each friend gets? (a) n + 3 (b) 3n (c) n ÷ 3 (d) n − 3
17. 17.Find the value of 5n − 4 when n = 1.
18. 18.Lakshmi has n laddoos. A friend has 7 times as many. Which expression shows how many laddoos the friend has? (a) n − 7 (b) n + 7 (c) n ÷ 7 (d) 7n
19. 19.Find the value of 3a + 4b when a = 7 and b = 3.
20. 20.Pooja has n balloons. A friend has 3 fewer. Which expression shows how many balloons the friend has? (a) n + 3 (b) 3n (c) n ÷ 3 (d) n − 3
21. 21.Find the value of 6a + 3b when a = 9 and b = 8.
22. 22.Meera has k crayons. A friend has 8 times as many. Which expression shows how many crayons the friend has? (a) k ÷ 8 (b) k − 8 (c) k + 8 (d) 8k
23. 23.Find the value of 6p + 4 when p = 7.
24. 24.Find the value of 8n − 4 when n = 5.
25. 25.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
26. 26.Solve: 7t = 42. What is t?
27. 27.Solve: 6x = 114. What is x?
28. 28.Find the value of 6p − 1 when p = 4.
29. 29.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
30. 30.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
31. 31.Find the value of 9m − 6 when m = 9.
32. 32.Find the value of 3p + 20 when p = 6.
33. 33.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
34. 34.Find the value of 2t + 16 when t = 3.
35. 35.Tara has p balls. A friend has 6 fewer. Which expression shows how many balls the friend has? (a) p − 6 (b) 6p (c) p ÷ 6 (d) p + 6
36. 36.Find the value of 6a + 3b when a = 2 and b = 7.
37. 37.Find the value of 4a + 6b when a = 10 and b = 10.
38. 38.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
39. 39.Find the value of 5n + 2 when n = 5.
40. 40.Solve: p + 12 = 15. What is p?

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