Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 490 · 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.Priya has n bananas. A friend has 7 fewer. Which expression shows how many bananas the friend has? (a) 7n (b) n + 7 (c) n ÷ 7 (d) n − 7
2. 2.Find the value of 2a + 3b when a = 1 and b = 5.
3. 3.Find the value of 5y − 28 when y = 11.
4. 4.Find the value of 8a + 3b when a = 6 and b = 9.
5. 5.Find the value of 9n − 53 when n = 7.
6. 6.Solve: y ÷ 11 = 2. What is y?
7. 7.Solve: m + 6 = 11. What is m?
8. 8.Find the value of 2a + 9b when a = 7 and b = 3.
9. 9.Solve: y ÷ 7 = 10. What is y?
10. 10.Find the value of 2y + 5 when y = 2.
11. 11.Find the value of 3a + 7b when a = 1 and b = 8.
12. 12.Isha has k shells. A friend has 3 fewer. Which expression shows how many shells the friend has? (a) k − 3 (b) 3k (c) k ÷ 3 (d) k + 3
13. 13.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
14. 14.Pooja has m kites. A friend has 7 more. Which expression shows how many kites the friend has? (a) m + 7 (b) m ÷ 7 (c) 7m (d) m − 7
15. 15.Solve: p + 11 = 27. What is p?
16. 16.Find the value of 4a + 9b when a = 7 and b = 3.
17. 17.Find the value of 5a + 8b when a = 6 and b = 6.
18. 18.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 21 letters?
19. 19.Arjun has n pencils. A friend has 3 times as many. Which expression shows how many pencils the friend has? (a) 3n (b) n + 3 (c) n ÷ 3 (d) n − 3
20. 20.Find the value of 6t − 5 when t = 5.
21. 21.Solve: n ÷ 6 = 3. What is n?
22. 22.Find the value of 2a + 9b when a = 2 and b = 9.
23. 23.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
24. 24.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
25. 25.Find the value of 3a + 5b when a = 3 and b = 8.
26. 26.Karan has n crayons. A friend has 7 times as many. Which expression shows how many crayons the friend has? (a) 7n (b) n − 7 (c) n ÷ 7 (d) n + 7
27. 27.Find the value of 2a + 6b when a = 3 and b = 6.
28. 28.Find the value of 2a + 2b when a = 4 and b = 6.
29. 29.Find the value of 3x − 10 when x = 9.
30. 30.Kabir has n crayons. A friend has 3 fewer. Which expression shows how many crayons the friend has? (a) n ÷ 3 (b) 3n (c) n − 3 (d) n + 3
31. 31.Tara has p flowers. A friend has 8 more. Which expression shows how many flowers the friend has? (a) 8p (b) p − 8 (c) p ÷ 8 (d) p + 8
32. 32.Find the value of 7p + 4 when p = 9.
33. 33.Find the value of 6a + 9b when a = 4 and b = 4.
34. 34.Find the value of 5y − 1 when y = 1.
35. 35.Find the value of 6a + 4b when a = 1 and b = 4.
36. 36.Solve: p + 12 = 16. What is p?
37. 37.Solve: 12n = 180. What is n?
38. 38.Nisha shares n marbles equally among 8 friends. Which expression shows how many marbles each friend gets? (a) n + 8 (b) n ÷ 8 (c) n − 8 (d) 8n
39. 39.Sneha shares k balloons equally among 2 friends. Which expression shows how many balloons each friend gets? (a) 2k (b) k ÷ 2 (c) k − 2 (d) k + 2
40. 40.Find the value of 7x + 12 when x = 4.

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