Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 537 · 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 6a + 7b when a = 9 and b = 10.
2. 2.Find the value of 7a + 5b when a = 7 and b = 8.
3. 3.Find the value of 2x − 10 when x = 9.
4. 4.Solve: n ÷ 2 = 9. What is n?
5. 5.Find the value of 2a + 3b when a = 4 and b = 9.
6. 6.Find the value of 4p − 2 when p = 1.
7. 7.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 27 letters?
8. 8.Solve: x − 5 = 4. What is x?
9. 9.Find the value of 5x + 14 when x = 2.
10. 10.Gurpreet has n bananas. A friend has 3 more. Which expression shows how many bananas the friend has? (a) n − 3 (b) 3n (c) n ÷ 3 (d) n + 3
11. 11.Solve: x ÷ 3 = 1. What is x?
12. 12.Solve: n + 3 = 19. What is n?
13. 13.Aarav has m mangoes. A friend has 5 times as many. Which expression shows how many mangoes the friend has? (a) m ÷ 5 (b) m − 5 (c) m + 5 (d) 5m
14. 14.Manav has m crayons. A friend has 3 fewer. Which expression shows how many crayons the friend has? (a) m ÷ 3 (b) m − 3 (c) 3m (d) m + 3
15. 15.Priya has k mangoes. A friend has 7 more. Which expression shows how many mangoes the friend has? (a) k − 7 (b) k ÷ 7 (c) k + 7 (d) 7k
16. 16.Farhan has n crayons. A friend has 2 more. Which expression shows how many crayons the friend has? (a) 2n (b) n + 2 (c) n − 2 (d) n ÷ 2
17. 17.Find the value of 6y − 8 when y = 4.
18. 18.Find the value of 3n + 15 when n = 8.
19. 19.Find the value of 8a + 3b when a = 2 and b = 4.
20. 20.Lakshmi has n flowers. A friend has 2 fewer. Which expression shows how many flowers the friend has? (a) n + 2 (b) 2n (c) n ÷ 2 (d) n − 2
21. 21.Find the value of 8y + 16 when y = 4.
22. 22.Solve: y ÷ 11 = 1. What is y?
23. 23.Find the value of 8a + 3b when a = 8 and b = 1.
24. 24.Lakshmi has n balls. A friend has 8 times as many. Which expression shows how many balls the friend has? (a) n − 8 (b) n + 8 (c) n ÷ 8 (d) 8n
25. 25.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
26. 26.Ananya has n laddoos. A friend has 8 more. Which expression shows how many laddoos the friend has? (a) n + 8 (b) 8n (c) n − 8 (d) n ÷ 8
27. 27.Find the value of 9a + 2b when a = 1 and b = 7.
28. 28.Find the value of 3a + 2b when a = 8 and b = 9.
29. 29.Solve: m + 4 = 12. What is m?
30. 30.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
31. 31.Find the value of 8a + 4b when a = 10 and b = 3.
32. 32.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
33. 33.Kabir has p flowers. A friend has 2 fewer. Which expression shows how many flowers the friend has? (a) p ÷ 2 (b) 2p (c) p − 2 (d) p + 2
34. 34.Find the value of 7a + 4b when a = 4 and b = 2.
35. 35.Arjun shares k balloons equally among 3 friends. Which expression shows how many balloons each friend gets? (a) k − 3 (b) 3k (c) k + 3 (d) k ÷ 3
36. 36.Ishaan has p laddoos. A friend has 2 more. Which expression shows how many laddoos the friend has? (a) p + 2 (b) p − 2 (c) 2p (d) p ÷ 2
37. 37.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
38. 38.Find the value of 7n + 9 when n = 9.
39. 39.Find the value of 3x + 5 when x = 1.
40. 40.Solve: t − 4 = 13. What is t?

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