Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 158 · 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.Ishaan has k crayons. A friend has 5 more. Which expression shows how many crayons the friend has? (a) k ÷ 5 (b) k − 5 (c) 5k (d) k + 5
2. 2.Find the value of 3a + 2b when a = 2 and b = 2.
3. 3.Solve: n + 11 = 17. What is n?
4. 4.Solve: y − 12 = 6. What is y?
5. 5.Find the value of 9x − 19 when x = 8.
6. 6.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 16 letters?
7. 7.Find the value of 8n + 17 when n = 9.
8. 8.Find the value of 9t − 14 when t = 10.
9. 9.Find the value of 7a + 9b when a = 8 and b = 3.
10. 10.Saanvi has k mangoes. A friend has 5 more. Which expression shows how many mangoes the friend has? (a) 5k (b) k + 5 (c) k − 5 (d) k ÷ 5
11. 11.Find the value of 3a + 4b when a = 8 and b = 9.
12. 12.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 30 letters?
13. 13.Solve: y − 11 = 6. What is y?
14. 14.Sneha has p pencils. A friend has 9 more. Which expression shows how many pencils the friend has? (a) p ÷ 9 (b) p + 9 (c) p − 9 (d) 9p
15. 15.Find the value of 6n − 1 when n = 2.
16. 16.Solve: p − 10 = 15. What is p?
17. 17.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
18. 18.Find the value of 8m + 5 when m = 7.
19. 19.Solve: n ÷ 9 = 20. What is n?
20. 20.Gurpreet shares p laddoos equally among 4 friends. Which expression shows how many laddoos each friend gets? (a) p ÷ 4 (b) 4p (c) p − 4 (d) p + 4
21. 21.Rohan has n balloons. A friend has 3 fewer. Which expression shows how many balloons the friend has? (a) n − 3 (b) 3n (c) n + 3 (d) n ÷ 3
22. 22.Ananya has n balloons. A friend has 8 times as many. Which expression shows how many balloons the friend has? (a) n ÷ 8 (b) n − 8 (c) n + 8 (d) 8n
23. 23.Find the value of 6a + 5b when a = 5 and b = 9.
24. 24.Lakshmi has k bananas. A friend has 7 more. Which expression shows how many bananas the friend has? (a) 7k (b) k ÷ 7 (c) k − 7 (d) k + 7
25. 25.Arjun has k pencils. A friend has 3 more. Which expression shows how many pencils the friend has? (a) k ÷ 3 (b) k − 3 (c) k + 3 (d) 3k
26. 26.Manav has m shells. A friend has 8 more. Which expression shows how many shells the friend has? (a) 8m (b) m + 8 (c) m ÷ 8 (d) m − 8
27. 27.Find the value of 4t − 2 when t = 1.
28. 28.Find the value of 5a + 4b when a = 10 and b = 1.
29. 29.Find the value of 4m − 4 when m = 11.
30. 30.Find the value of 5a + 9b when a = 8 and b = 8.
31. 31.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 27 letters?
32. 32.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 16 letters?
33. 33.Solve: 12m = 120. What is m?
34. 34.Solve: m ÷ 4 = 8. What is m?
35. 35.Meera shares p laddoos equally among 7 friends. Which expression shows how many laddoos each friend gets? (a) p ÷ 7 (b) p + 7 (c) p − 7 (d) 7p
36. 36.Solve: x ÷ 8 = 20. What is x?
37. 37.Find the value of 6y − 6 when y = 8.
38. 38.Find the value of 6t − 19 when t = 4.
39. 39.Find the value of 3m − 7 when m = 4.
40. 40.Riya 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

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