Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 132 · 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 − 2 = 4. What is m?
2. 2.Find the value of 4a + 4b when a = 6 and b = 4.
3. 3.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 23 letters?
4. 4.Find the value of 6a + 5b when a = 1 and b = 4.
5. 5.Find the value of 3a + 2b when a = 10 and b = 10.
6. 6.Find the value of 5a + 7b when a = 3 and b = 7.
7. 7.Farhan has n books. A friend has 8 fewer. Which expression shows how many books the friend has? (a) n ÷ 8 (b) 8n (c) n + 8 (d) n − 8
8. 8.Solve: m − 8 = 3. What is m?
9. 9.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 27 letters?
10. 10.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
11. 11.Aarav has n pencils. A friend has 4 fewer. Which expression shows how many pencils the friend has? (a) n − 4 (b) n + 4 (c) n ÷ 4 (d) 4n
12. 12.Find the value of 6n + 18 when n = 5.
13. 13.Aarav shares n marbles equally among 4 friends. Which expression shows how many marbles each friend gets? (a) n ÷ 4 (b) n − 4 (c) 4n (d) n + 4
14. 14.Solve: 2p = 30. What is p?
15. 15.Joseph has m flowers. A friend has 3 more. Which expression shows how many flowers the friend has? (a) m ÷ 3 (b) m + 3 (c) 3m (d) m − 3
16. 16.Find the value of 5y + 11 when y = 8.
17. 17.Solve: m ÷ 2 = 2. What is m?
18. 18.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
19. 19.Joseph has p bananas. A friend has 3 times as many. Which expression shows how many bananas the friend has? (a) p + 3 (b) p ÷ 3 (c) 3p (d) p − 3
20. 20.Find the value of 8y − 15 when y = 4.
21. 21.Nisha has n kites. A friend has 3 more. Which expression shows how many kites the friend has? (a) n − 3 (b) n ÷ 3 (c) n + 3 (d) 3n
22. 22.Find the value of 4t − 8 when t = 4.
23. 23.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 20 letters?
24. 24.Find the value of 9a + 5b when a = 7 and b = 10.
25. 25.Arjun shares m crayons equally among 4 friends. Which expression shows how many crayons each friend gets? (a) m + 4 (b) m ÷ 4 (c) m − 4 (d) 4m
26. 26.Find the value of 3y + 7 when y = 6.
27. 27.Solve: t + 9 = 16. What is t?
28. 28.Solve: x ÷ 12 = 13. What is x?
29. 29.Solve: x ÷ 2 = 2. What is x?
30. 30.Solve: t − 3 = 4. What is t?
31. 31.Solve: t + 12 = 20. What is t?
32. 32.Lakshmi has m books. A friend has 8 fewer. Which expression shows how many books the friend has? (a) 8m (b) m ÷ 8 (c) m + 8 (d) m − 8
33. 33.Find the value of 9t + 18 when t = 4.
34. 34.Solve: x + 4 = 9. What is x?
35. 35.Solve: p + 5 = 19. What is p?
36. 36.Solve: n ÷ 6 = 20. What is n?
37. 37.Find the value of 4a + 4b when a = 6 and b = 8.
38. 38.Solve: m + 12 = 32. What is m?
39. 39.Find the value of 6m − 10 when m = 2.
40. 40.Riya shares k balloons equally among 7 friends. Which expression shows how many balloons each friend gets? (a) k ÷ 7 (b) k − 7 (c) 7k (d) k + 7

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