Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 282 · 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: t + 2 = 8. What is t?
2. 2.Find the value of 8x + 20 when x = 7.
3. 3.Karan has k balloons. A friend has 2 more. Which expression shows how many balloons the friend has? (a) k − 2 (b) k ÷ 2 (c) 2k (d) k + 2
4. 4.Find the value of 2y + 7 when y = 5.
5. 5.Find the value of 6t + 2 when t = 5.
6. 6.Find the value of 6a + 8b when a = 5 and b = 10.
7. 7.Find the value of 3n + 3 when n = 11.
8. 8.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
9. 9.Find the value of 7a + 7b when a = 1 and b = 3.
10. 10.Pooja has k flowers. A friend has 3 more. Which expression shows how many flowers the friend has? (a) k + 3 (b) 3k (c) k ÷ 3 (d) k − 3
11. 11.Rohan has m pencils. A friend has 8 fewer. Which expression shows how many pencils the friend has? (a) m + 8 (b) m ÷ 8 (c) 8m (d) m − 8
12. 12.Solve: 2y = 40. What is y?
13. 13.Solve: 9y = 153. What is y?
14. 14.Find the value of 8p + 12 when p = 8.
15. 15.Solve: x − 4 = 3. What is x?
16. 16.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
17. 17.Find the value of 3a + 9b when a = 9 and b = 4.
18. 18.Solve: x − 4 = 2. What is x?
19. 19.Rohan has m marbles. A friend has 7 more. Which expression shows how many marbles the friend has? (a) m + 7 (b) m ÷ 7 (c) 7m (d) m − 7
20. 20.Kabir has p crayons. A friend has 6 more. Which expression shows how many crayons the friend has? (a) p − 6 (b) p + 6 (c) p ÷ 6 (d) 6p
21. 21.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
22. 22.Find the value of 4y + 7 when y = 7.
23. 23.Tara has n bananas. A friend has 4 fewer. Which expression shows how many bananas the friend has? (a) 4n (b) n − 4 (c) n ÷ 4 (d) n + 4
24. 24.Find the value of 4y − 1 when y = 1.
25. 25.Find the value of 5a + 7b when a = 9 and b = 7.
26. 26.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 25 letters?
27. 27.Find the value of 5n + 16 when n = 5.
28. 28.Find the value of 3m + 6 when m = 2.
29. 29.Dev has m pencils. A friend has 4 times as many. Which expression shows how many pencils the friend has? (a) 4m (b) m + 4 (c) m − 4 (d) m ÷ 4
30. 30.Find the value of 7a + 5b when a = 1 and b = 9.
31. 31.Find the value of 9x + 19 when x = 8.
32. 32.Solve: x + 11 = 17. What is x?
33. 33.Find the value of 9a + 3b when a = 2 and b = 7.
34. 34.Meera has m laddoos. A friend has 2 fewer. Which expression shows how many laddoos the friend has? (a) 2m (b) m ÷ 2 (c) m − 2 (d) m + 2
35. 35.Find the value of 4p + 20 when p = 4.
36. 36.Find the value of 6a + 8b when a = 5 and b = 9.
37. 37.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
38. 38.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
39. 39.Find the value of 4a + 3b when a = 3 and b = 5.
40. 40.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?

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