Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 270 · 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 4a + 6b when a = 3 and b = 1.
2. 2.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 25 letters?
3. 3.Solve: y ÷ 6 = 18. What is y?
4. 4.Pooja has m crayons. A friend has 2 times as many. Which expression shows how many crayons the friend has? (a) m + 2 (b) 2m (c) m − 2 (d) m ÷ 2
5. 5.Find the value of 9a + 3b when a = 9 and b = 1.
6. 6.Find the value of 2t − 1 when t = 1.
7. 7.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
8. 8.Find the value of 6x + 7 when x = 7.
9. 9.Solve: 2m = 12. What is m?
10. 10.Find the value of 6m − 9 when m = 5.
11. 11.Solve: 5t = 100. What is t?
12. 12.Meera has p mangoes. A friend has 9 more. Which expression shows how many mangoes the friend has? (a) p − 9 (b) p ÷ 9 (c) 9p (d) p + 9
13. 13.Find the value of 3a + 3b when a = 2 and b = 8.
14. 14.Find the value of 3x − 8 when x = 8.
15. 15.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
16. 16.Find the value of 5m − 14 when m = 3.
17. 17.Solve: y + 6 = 16. What is y?
18. 18.Find the value of 9n − 2 when n = 12.
19. 19.Find the value of 4a + 3b when a = 5 and b = 2.
20. 20.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 29 letters?
21. 21.Find the value of 5m − 24 when m = 8.
22. 22.Solve: p + 2 = 7. What is p?
23. 23.Find the value of 4y + 19 when y = 6.
24. 24.Solve: p + 10 = 16. What is p?
25. 25.Ananya has k bananas. A friend has 7 times as many. Which expression shows how many bananas the friend has? (a) k + 7 (b) k ÷ 7 (c) k − 7 (d) 7k
26. 26.Find the value of 3p − 5 when p = 3.
27. 27.Priya has p mangoes. A friend has 6 times as many. Which expression shows how many mangoes the friend has? (a) p − 6 (b) 6p (c) p + 6 (d) p ÷ 6
28. 28.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
29. 29.Find the value of 2m − 5 when m = 7.
30. 30.Solve: m + 12 = 27. What is m?
31. 31.Manav has n bananas. A friend has 9 fewer. Which expression shows how many bananas the friend has? (a) n + 9 (b) 9n (c) n − 9 (d) n ÷ 9
32. 32.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 6 letters?
33. 33.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
34. 34.Solve: y − 7 = 20. What is y?
35. 35.Find the value of 6n + 13 when n = 4.
36. 36.Solve: t ÷ 12 = 13. What is t?
37. 37.Vivaan has k laddoos. A friend has 9 more. Which expression shows how many laddoos the friend has? (a) k + 9 (b) 9k (c) k ÷ 9 (d) k − 9
38. 38.Solve: y ÷ 12 = 3. What is y?
39. 39.Find the value of 9a + 9b when a = 4 and b = 8.
40. 40.Aarav shares n books equally among 7 friends. Which expression shows how many books each friend gets? (a) 7n (b) n − 7 (c) n + 7 (d) n ÷ 7

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