Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 218 · 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: m + 9 = 12. What is m?
2. 2.Find the value of 5m + 6 when m = 2.
3. 3.Farhan has k marbles. A friend has 7 fewer. Which expression shows how many marbles the friend has? (a) k − 7 (b) k + 7 (c) k ÷ 7 (d) 7k
4. 4.Rahul has k crayons. A friend has 7 fewer. Which expression shows how many crayons the friend has? (a) k ÷ 7 (b) 7k (c) k − 7 (d) k + 7
5. 5.Solve: y − 11 = 16. What is y?
6. 6.Find the value of 8a + 6b when a = 3 and b = 1.
7. 7.Aarav shares p crayons equally among 3 friends. Which expression shows how many crayons each friend gets? (a) p + 3 (b) 3p (c) p − 3 (d) p ÷ 3
8. 8.Find the value of 6t − 29 when t = 5.
9. 9.Find the value of 2n − 3 when n = 3.
10. 10.Find the value of 2x − 19 when x = 12.
11. 11.Solve: 9n = 144. What is n?
12. 12.Solve: m + 5 = 8. What is m?
13. 13.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
14. 14.Find the value of 9a + 2b when a = 4 and b = 5.
15. 15.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
16. 16.Find the value of 2a + 9b when a = 2 and b = 10.
17. 17.Gurpreet has n flowers. A friend has 6 fewer. Which expression shows how many flowers the friend has? (a) n − 6 (b) n + 6 (c) 6n (d) n ÷ 6
18. 18.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 18 letters?
19. 19.Vivaan has n pencils. A friend has 7 fewer. Which expression shows how many pencils the friend has? (a) n + 7 (b) 7n (c) n − 7 (d) n ÷ 7
20. 20.Find the value of 5n + 19 when n = 8.
21. 21.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 24 letters?
22. 22.Find the value of 5m + 3 when m = 12.
23. 23.Find the value of 3a + 7b when a = 9 and b = 2.
24. 24.Find the value of 8a + 2b when a = 1 and b = 10.
25. 25.Aditya has n pencils. A friend has 9 fewer. Which expression shows how many pencils the friend has? (a) 9n (b) n ÷ 9 (c) n + 9 (d) n − 9
26. 26.Aditya has m bananas. A friend has 5 more. Which expression shows how many bananas the friend has? (a) m − 5 (b) m + 5 (c) 5m (d) m ÷ 5
27. 27.Solve: t + 4 = 6. What is t?
28. 28.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
29. 29.Find the value of 2a + 2b when a = 5 and b = 7.
30. 30.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 20 letters?
31. 31.Find the value of 6a + 3b when a = 2 and b = 1.
32. 32.Find the value of 6m + 9 when m = 11.
33. 33.Find the value of 6y + 5 when y = 2.
34. 34.Find the value of 2a + 4b when a = 7 and b = 9.
35. 35.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
36. 36.Find the value of 9a + 9b when a = 10 and b = 8.
37. 37.Solve: n − 3 = 18. What is n?
38. 38.Tara has k balls. A friend has 8 times as many. Which expression shows how many balls the friend has? (a) k + 8 (b) k ÷ 8 (c) k − 8 (d) 8k
39. 39.Gurpreet has n balloons. A friend has 7 fewer. Which expression shows how many balloons the friend has? (a) n ÷ 7 (b) n + 7 (c) n − 7 (d) 7n
40. 40.Find the value of 5a + 8b when a = 5 and b = 2.

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