Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 163 · 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 3t − 4 when t = 5.
2. 2.Find the value of 2y − 7 when y = 11.
3. 3.Sneha shares k mangoes equally among 7 friends. Which expression shows how many mangoes each friend gets? (a) k + 7 (b) k − 7 (c) 7k (d) k ÷ 7
4. 4.Find the value of 5y + 3 when y = 9.
5. 5.Find the value of 2a + 3b when a = 4 and b = 5.
6. 6.Find the value of 5y − 2 when y = 1.
7. 7.Aditya shares n flowers equally among 6 friends. Which expression shows how many flowers each friend gets? (a) n − 6 (b) n ÷ 6 (c) n + 6 (d) 6n
8. 8.Meera has p books. A friend has 3 fewer. Which expression shows how many books the friend has? (a) 3p (b) p − 3 (c) p ÷ 3 (d) p + 3
9. 9.Solve: t − 5 = 2. What is t?
10. 10.Find the value of 8y − 38 when y = 9.
11. 11.Aditya shares m pencils equally among 5 friends. Which expression shows how many pencils each friend gets? (a) 5m (b) m ÷ 5 (c) m − 5 (d) m + 5
12. 12.Find the value of 8n − 16 when n = 3.
13. 13.Solve: 10p = 10. What is p?
14. 14.Find the value of 4a + 9b when a = 8 and b = 8.
15. 15.Gurpreet has p laddoos. A friend has 3 times as many. Which expression shows how many laddoos the friend has? (a) p − 3 (b) p ÷ 3 (c) 3p (d) p + 3
16. 16.Tara has k balls. A friend has 4 more. Which expression shows how many balls the friend has? (a) k − 4 (b) k + 4 (c) k ÷ 4 (d) 4k
17. 17.Find the value of 7a + 3b when a = 9 and b = 6.
18. 18.Find the value of 7n + 11 when n = 6.
19. 19.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
20. 20.Find the value of 3x − 2 when x = 3.
21. 21.Nisha has m bananas. A friend has 8 more. Which expression shows how many bananas the friend has? (a) 8m (b) m − 8 (c) m ÷ 8 (d) m + 8
22. 22.Find the value of 6a + 8b when a = 4 and b = 5.
23. 23.Find the value of 3a + 7b when a = 3 and b = 4.
24. 24.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
25. 25.Solve: y + 7 = 9. What is y?
26. 26.Find the value of 6n + 13 when n = 1.
27. 27.Find the value of 5a + 9b when a = 4 and b = 7.
28. 28.Solve: m + 12 = 13. What is m?
29. 29.Arjun shares k pencils equally among 5 friends. Which expression shows how many pencils each friend gets? (a) k − 5 (b) k + 5 (c) 5k (d) k ÷ 5
30. 30.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 29 letters?
31. 31.Aditya shares p marbles equally among 7 friends. Which expression shows how many marbles each friend gets? (a) p − 7 (b) 7p (c) p ÷ 7 (d) p + 7
32. 32.Aditya has k crayons. A friend has 2 fewer. Which expression shows how many crayons the friend has? (a) k ÷ 2 (b) k + 2 (c) 2k (d) k − 2
33. 33.Find the value of 8a + 3b when a = 2 and b = 2.
34. 34.Find the value of 9a + 2b when a = 4 and b = 10.
35. 35.Solve: y − 11 = 5. What is y?
36. 36.Find the value of 9t − 45 when t = 10.
37. 37.Tara has p marbles. A friend has 9 more. Which expression shows how many marbles the friend has? (a) p ÷ 9 (b) 9p (c) p + 9 (d) p − 9
38. 38.Find the value of 7y − 2 when y = 10.
39. 39.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 26 letters?
40. 40.Find the value of 5a + 4b when a = 3 and b = 9.

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