Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 54 · 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: 3t = 21. What is t?
2. 2.Find the value of 4a + 2b when a = 1 and b = 8.
3. 3.Find the value of 3n + 14 when n = 9.
4. 4.Find the value of 3n − 3 when n = 2.
5. 5.Sneha has m mangoes. A friend has 9 fewer. Which expression shows how many mangoes the friend has? (a) m ÷ 9 (b) 9m (c) m − 9 (d) m + 9
6. 6.Vivaan has p shells. A friend has 3 fewer. Which expression shows how many shells the friend has? (a) p − 3 (b) 3p (c) p ÷ 3 (d) p + 3
7. 7.Find the value of 7n + 13 when n = 10.
8. 8.Solve: m + 3 = 13. What is m?
9. 9.Find the value of 3m + 11 when m = 1.
10. 10.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?
11. 11.Dev has p laddoos. A friend has 4 fewer. Which expression shows how many laddoos the friend has? (a) p + 4 (b) 4p (c) p − 4 (d) p ÷ 4
12. 12.Solve: p ÷ 4 = 12. What is p?
13. 13.Find the value of 2x + 3 when x = 6.
14. 14.Find the value of 6a + 8b when a = 5 and b = 4.
15. 15.Sneha has m bananas. A friend has 6 fewer. Which expression shows how many bananas the friend has? (a) m + 6 (b) 6m (c) m − 6 (d) m ÷ 6
16. 16.Solve: n + 12 = 13. What is n?
17. 17.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 27 letters?
18. 18.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?
19. 19.Solve: n + 4 = 24. What is n?
20. 20.Solve: y ÷ 7 = 5. What is y?
21. 21.Solve: x + 4 = 11. What is x?
22. 22.Find the value of 2y − 9 when y = 8.
23. 23.Find the value of 2x + 8 when x = 1.
24. 24.Find the value of 5a + 3b when a = 2 and b = 1.
25. 25.Find the value of 7p + 4 when p = 2.
26. 26.Priya shares m books equally among 6 friends. Which expression shows how many books each friend gets? (a) m − 6 (b) m ÷ 6 (c) 6m (d) m + 6
27. 27.Solve: x + 10 = 24. What is x?
28. 28.Solve: y ÷ 8 = 16. What is y?
29. 29.Find the value of 2t − 14 when t = 11.
30. 30.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
31. 31.Find the value of 2a + 6b when a = 3 and b = 5.
32. 32.Isha has p balls. A friend has 9 more. Which expression shows how many balls the friend has? (a) p + 9 (b) p − 9 (c) 9p (d) p ÷ 9
33. 33.Find the value of 8p + 16 when p = 11.
34. 34.Find the value of 8a + 2b when a = 2 and b = 9.
35. 35.Ananya has k laddoos. A friend has 5 more. Which expression shows how many laddoos the friend has? (a) 5k (b) k − 5 (c) k ÷ 5 (d) k + 5
36. 36.Solve: 6t = 84. What is t?
37. 37.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 18 letters?
38. 38.Find the value of 2a + 8b when a = 9 and b = 4.
39. 39.Aarav has n shells. A friend has 9 fewer. Which expression shows how many shells the friend has? (a) 9n (b) n ÷ 9 (c) n + 9 (d) n − 9
40. 40.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?

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