Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 289 · 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: 4y = 12. What is y?
2. 2.Solve: y − 10 = 2. What is y?
3. 3.Meera has m mangoes. A friend has 5 fewer. Which expression shows how many mangoes the friend has? (a) m − 5 (b) 5m (c) m + 5 (d) m ÷ 5
4. 4.Find the value of 4p − 36 when p = 11.
5. 5.Aarav shares m kites equally among 9 friends. Which expression shows how many kites each friend gets? (a) m ÷ 9 (b) m − 9 (c) m + 9 (d) 9m
6. 6.Ishaan has n bananas. A friend has 9 more. Which expression shows how many bananas the friend has? (a) n + 9 (b) n − 9 (c) 9n (d) n ÷ 9
7. 7.Riya has n laddoos. A friend has 4 fewer. Which expression shows how many laddoos the friend has? (a) 4n (b) n + 4 (c) n ÷ 4 (d) n − 4
8. 8.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
9. 9.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
10. 10.Solve: p − 9 = 4. What is p?
11. 11.Solve: t + 4 = 12. What is t?
12. 12.Find the value of 9y − 1 when y = 3.
13. 13.Find the value of 4t + 9 when t = 10.
14. 14.Find the value of 3a + 6b when a = 10 and b = 10.
15. 15.Find the value of 7y − 36 when y = 6.
16. 16.Find the value of 3a + 9b when a = 9 and b = 3.
17. 17.Find the value of 7t − 6 when t = 3.
18. 18.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
19. 19.Rahul has m balls. A friend has 3 times as many. Which expression shows how many balls the friend has? (a) m − 3 (b) 3m (c) m ÷ 3 (d) m + 3
20. 20.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 11 letters?
21. 21.Find the value of 3a + 3b when a = 10 and b = 8.
22. 22.Pooja has k marbles. A friend has 5 fewer. Which expression shows how many marbles the friend has? (a) k + 5 (b) k − 5 (c) k ÷ 5 (d) 5k
23. 23.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 24 letters?
24. 24.Find the value of 6n + 3 when n = 1.
25. 25.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 29 letters?
26. 26.Find the value of 9m − 24 when m = 3.
27. 27.Find the value of 2x − 4 when x = 6.
28. 28.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
29. 29.Solve: 5y = 55. What is y?
30. 30.Find the value of 5a + 2b when a = 5 and b = 4.
31. 31.Solve: p ÷ 2 = 16. What is p?
32. 32.Find the value of 3a + 5b when a = 9 and b = 5.
33. 33.Find the value of 6p + 1 when p = 1.
34. 34.Solve: y − 12 = 18. What is y?
35. 35.Meera has k books. A friend has 3 fewer. Which expression shows how many books the friend has? (a) k ÷ 3 (b) k + 3 (c) k − 3 (d) 3k
36. 36.Pooja has p mangoes. A friend has 2 fewer. Which expression shows how many mangoes the friend has? (a) p + 2 (b) p ÷ 2 (c) p − 2 (d) 2p
37. 37.Solve: 2y = 2. What is y?
38. 38.Solve: t + 9 = 29. What is t?
39. 39.Find the value of 3a + 7b when a = 3 and b = 5.
40. 40.Find the value of 3p + 12 when p = 11.

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