Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 580 · 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.Find the value of 9t + 3 when t = 12.
2. 2.Find the value of 5n + 1 when n = 2.
3. 3.Find the value of 6x − 16 when x = 4.
4. 4.Priya has n bananas. A friend has 5 more. Which expression shows how many bananas the friend has? (a) n + 5 (b) n ÷ 5 (c) 5n (d) n − 5
5. 5.Manav has n shells. A friend has 7 more. Which expression shows how many shells the friend has? (a) n ÷ 7 (b) n + 7 (c) n − 7 (d) 7n
6. 6.Solve: n ÷ 5 = 19. What is n?
7. 7.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 26 letters?
8. 8.Find the value of 8x − 50 when x = 12.
9. 9.Dev has p flowers. A friend has 5 more. Which expression shows how many flowers the friend has? (a) p ÷ 5 (b) p − 5 (c) p + 5 (d) 5p
10. 10.Dev has m books. A friend has 9 times as many. Which expression shows how many books the friend has? (a) 9m (b) m ÷ 9 (c) m + 9 (d) m − 9
11. 11.Find the value of 4a + 6b when a = 2 and b = 1.
12. 12.Find the value of 8y − 3 when y = 3.
13. 13.Solve: t + 2 = 16. What is t?
14. 14.Solve: y ÷ 3 = 6. What is y?
15. 15.Find the value of 8m − 85 when m = 12.
16. 16.Find the value of 7a + 5b when a = 2 and b = 2.
17. 17.Solve: n + 8 = 11. What is n?
18. 18.Find the value of 2x − 3 when x = 2.
19. 19.Riya shares n mangoes equally among 8 friends. Which expression shows how many mangoes each friend gets? (a) n − 8 (b) n ÷ 8 (c) n + 8 (d) 8n
20. 20.Solve: 12y = 156. What is y?
21. 21.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
22. 22.Find the value of 3a + 9b when a = 1 and b = 10.
23. 23.Arjun has p bananas. A friend has 5 times as many. Which expression shows how many bananas the friend has? (a) p − 5 (b) 5p (c) p ÷ 5 (d) p + 5
24. 24.Ishaan has m pencils. A friend has 5 fewer. Which expression shows how many pencils the friend has? (a) m − 5 (b) 5m (c) m ÷ 5 (d) m + 5
25. 25.Tara has p laddoos. A friend has 6 times as many. Which expression shows how many laddoos the friend has? (a) p + 6 (b) p − 6 (c) p ÷ 6 (d) 6p
26. 26.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 28 letters?
27. 27.Find the value of 7a + 5b when a = 10 and b = 4.
28. 28.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
29. 29.Solve: 5x = 15. What is x?
30. 30.Find the value of 9a + 6b when a = 4 and b = 7.
31. 31.Kavya shares n balloons equally among 9 friends. Which expression shows how many balloons each friend gets? (a) n − 9 (b) n ÷ 9 (c) n + 9 (d) 9n
32. 32.Find the value of 9x + 10 when x = 12.
33. 33.Gurpreet has p flowers. A friend has 3 fewer. Which expression shows how many flowers the friend has? (a) 3p (b) p ÷ 3 (c) p + 3 (d) p − 3
34. 34.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
35. 35.Find the value of 6a + 6b when a = 5 and b = 3.
36. 36.Solve: 11n = 55. What is n?
37. 37.Rohan has n flowers. A friend has 8 fewer. Which expression shows how many flowers the friend has? (a) 8n (b) n ÷ 8 (c) n + 8 (d) n − 8
38. 38.Find the value of 2a + 7b when a = 1 and b = 4.
39. 39.Find the value of 8t + 20 when t = 3.
40. 40.Find the value of 8y − 4 when y = 10.

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