Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 159 · 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.Rahul has m balloons. A friend has 3 fewer. Which expression shows how many balloons the friend has? (a) 3m (b) m − 3 (c) m ÷ 3 (d) m + 3
2. 2.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 19 letters?
3. 3.Solve: t + 3 = 4. What is t?
4. 4.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 10 letters?
5. 5.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 29 letters?
6. 6.Solve: m − 5 = 7. What is m?
7. 7.Solve: t + 9 = 25. What is t?
8. 8.Solve: p + 12 = 20. What is p?
9. 9.Meera has p kites. A friend has 8 times as many. Which expression shows how many kites the friend has? (a) p ÷ 8 (b) p + 8 (c) p − 8 (d) 8p
10. 10.Find the value of 7a + 7b when a = 10 and b = 5.
11. 11.Find the value of 3a + 6b when a = 7 and b = 8.
12. 12.Find the value of 4y + 11 when y = 3.
13. 13.Solve: p − 4 = 4. What is p?
14. 14.Solve: p + 4 = 6. What is p?
15. 15.Solve: x + 5 = 25. What is x?
16. 16.Find the value of 5m + 1 when m = 8.
17. 17.Find the value of 6y − 10 when y = 4.
18. 18.Vivaan has m laddoos. A friend has 6 fewer. Which expression shows how many laddoos the friend has? (a) 6m (b) m + 6 (c) m ÷ 6 (d) m − 6
19. 19.Find the value of 4y − 4 when y = 9.
20. 20.Solve: t + 3 = 18. What is t?
21. 21.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 29 letters?
22. 22.Find the value of 9n + 18 when n = 10.
23. 23.Solve: 12n = 60. What is n?
24. 24.Solve: t − 12 = 3. What is t?
25. 25.Find the value of 5y + 17 when y = 11.
26. 26.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 26 letters?
27. 27.Find the value of 3p − 2 when p = 11.
28. 28.Solve: n − 3 = 11. What is n?
29. 29.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
30. 30.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
31. 31.Solve: m + 5 = 21. What is m?
32. 32.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 10 letters?
33. 33.Vivaan has k balloons. A friend has 3 times as many. Which expression shows how many balloons the friend has? (a) k + 3 (b) 3k (c) k − 3 (d) k ÷ 3
34. 34.Find the value of 4n − 5 when n = 5.
35. 35.Find the value of 3x + 19 when x = 10.
36. 36.Find the value of 6t + 10 when t = 2.
37. 37.Zoya has m pencils. A friend has 4 more. Which expression shows how many pencils the friend has? (a) m ÷ 4 (b) m + 4 (c) 4m (d) m − 4
38. 38.Joseph shares n balls equally among 5 friends. Which expression shows how many balls each friend gets? (a) 5n (b) n ÷ 5 (c) n + 5 (d) n − 5
39. 39.Find the value of 6a + 8b when a = 3 and b = 1.
40. 40.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?

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