Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 203 · 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.Solve: 5y = 45. What is y?
2. 2.Nisha shares p balloons equally among 4 friends. Which expression shows how many balloons each friend gets? (a) 4p (b) p ÷ 4 (c) p − 4 (d) p + 4
3. 3.Solve: n ÷ 10 = 18. What is n?
4. 4.Solve: m + 5 = 17. What is m?
5. 5.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 16 letters?
6. 6.Find the value of 8y − 27 when y = 10.
7. 7.Farhan shares k balloons equally among 8 friends. Which expression shows how many balloons each friend gets? (a) k + 8 (b) k ÷ 8 (c) k − 8 (d) 8k
8. 8.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
9. 9.Rohan has n crayons. A friend has 6 more. Which expression shows how many crayons the friend has? (a) n − 6 (b) n + 6 (c) n ÷ 6 (d) 6n
10. 10.Aditya has p laddoos. A friend has 6 fewer. Which expression shows how many laddoos the friend has? (a) p − 6 (b) p + 6 (c) 6p (d) p ÷ 6
11. 11.Isha has n pencils. A friend has 4 times as many. Which expression shows how many pencils the friend has? (a) n − 4 (b) n ÷ 4 (c) 4n (d) n + 4
12. 12.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 13 letters?
13. 13.Solve: x ÷ 5 = 17. What is x?
14. 14.Manav has n pencils. A friend has 8 times as many. Which expression shows how many pencils the friend has? (a) 8n (b) n ÷ 8 (c) n − 8 (d) n + 8
15. 15.Karan has m pencils. A friend has 7 times as many. Which expression shows how many pencils the friend has? (a) m + 7 (b) m ÷ 7 (c) m − 7 (d) 7m
16. 16.Find the value of 9p + 10 when p = 7.
17. 17.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
18. 18.Find the value of 5y − 4 when y = 12.
19. 19.Find the value of 9n − 66 when n = 8.
20. 20.Find the value of 2y + 12 when y = 8.
21. 21.Find the value of 3p + 13 when p = 7.
22. 22.Solve: y + 5 = 24. What is y?
23. 23.Find the value of 6y − 17 when y = 9.
24. 24.Lakshmi has k books. A friend has 7 times as many. Which expression shows how many books the friend has? (a) k ÷ 7 (b) 7k (c) k − 7 (d) k + 7
25. 25.Find the value of 7n − 1 when n = 5.
26. 26.Pooja shares k balloons equally among 8 friends. Which expression shows how many balloons each friend gets? (a) 8k (b) k ÷ 8 (c) k − 8 (d) k + 8
27. 27.Find the value of 9x − 9 when x = 3.
28. 28.Find the value of 9a + 4b when a = 4 and b = 2.
29. 29.Find the value of 3a + 3b when a = 4 and b = 1.
30. 30.Find the value of 7y + 4 when y = 5.
31. 31.Find the value of 3t + 19 when t = 7.
32. 32.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 29 letters?
33. 33.Solve: 10y = 150. What is y?
34. 34.Solve: 5p = 55. What is p?
35. 35.Find the value of 8a + 9b when a = 5 and b = 7.
36. 36.Solve: 10y = 100. What is y?
37. 37.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 20 letters?
38. 38.Solve: m + 12 = 22. What is m?
39. 39.Sneha has m balls. A friend has 2 times as many. Which expression shows how many balls the friend has? (a) m + 2 (b) m ÷ 2 (c) m − 2 (d) 2m
40. 40.Solve: x − 7 = 3. What is x?

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