Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 252 · 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.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
2. 2.Diya has m balls. A friend has 7 more. Which expression shows how many balls the friend has? (a) m − 7 (b) m + 7 (c) m ÷ 7 (d) 7m
3. 3.Farhan shares n kites equally among 6 friends. Which expression shows how many kites each friend gets? (a) 6n (b) n − 6 (c) n ÷ 6 (d) n + 6
4. 4.Find the value of 4m + 17 when m = 7.
5. 5.Riya has m flowers. A friend has 8 times as many. Which expression shows how many flowers the friend has? (a) 8m (b) m + 8 (c) m − 8 (d) m ÷ 8
6. 6.Find the value of 7t − 59 when t = 10.
7. 7.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
8. 8.Find the value of 7a + 9b when a = 9 and b = 9.
9. 9.Find the value of 4y − 2 when y = 2.
10. 10.Find the value of 3y − 3 when y = 2.
11. 11.Meera has k crayons. A friend has 7 more. Which expression shows how many crayons the friend has? (a) k ÷ 7 (b) k + 7 (c) 7k (d) k − 7
12. 12.Riya has m balloons. A friend has 6 fewer. Which expression shows how many balloons the friend has? (a) m ÷ 6 (b) 6m (c) m − 6 (d) m + 6
13. 13.Karan has n pencils. A friend has 3 times as many. Which expression shows how many pencils the friend has? (a) n − 3 (b) 3n (c) n ÷ 3 (d) n + 3
14. 14.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 22 letters?
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 9n − 21 when n = 5.
17. 17.Karan has k kites. A friend has 8 more. Which expression shows how many kites the friend has? (a) k + 8 (b) 8k (c) k − 8 (d) k ÷ 8
18. 18.Find the value of 5m + 2 when m = 9.
19. 19.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
20. 20.Solve: t ÷ 7 = 17. What is t?
21. 21.Find the value of 5t − 49 when t = 12.
22. 22.Solve: x + 6 = 18. What is x?
23. 23.Find the value of 6p − 2 when p = 2.
24. 24.Solve: y + 12 = 22. What is y?
25. 25.Find the value of 2a + 4b when a = 2 and b = 3.
26. 26.Find the value of 2t + 13 when t = 3.
27. 27.Find the value of 8y + 13 when y = 8.
28. 28.Find the value of 3a + 7b when a = 2 and b = 2.
29. 29.Find the value of 3t − 19 when t = 10.
30. 30.Find the value of 2n + 18 when n = 8.
31. 31.Find the value of 4a + 5b when a = 10 and b = 4.
32. 32.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
33. 33.Pooja has n laddoos. A friend has 2 fewer. Which expression shows how many laddoos the friend has? (a) n − 2 (b) n ÷ 2 (c) n + 2 (d) 2n
34. 34.Find the value of 8y − 23 when y = 6.
35. 35.Find the value of 3t + 1 when t = 5.
36. 36.Find the value of 6p − 18 when p = 4.
37. 37.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 19 letters?
38. 38.Solve: 7m = 63. What is m?
39. 39.Find the value of 3a + 9b when a = 3 and b = 1.
40. 40.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?

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