Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 480 · 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 + 3 = 16. What is t?
2. 2.Find the value of 8p + 19 when p = 4.
3. 3.Find the value of 9a + 2b when a = 4 and b = 8.
4. 4.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 11 letters?
5. 5.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 30 letters?
6. 6.Solve: n + 4 = 17. What is n?
7. 7.Solve: t ÷ 11 = 12. What is t?
8. 8.Find the value of 3p − 22 when p = 8.
9. 9.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
10. 10.Find the value of 4a + 8b when a = 3 and b = 9.
11. 11.Find the value of 8m + 5 when m = 8.
12. 12.Solve: p − 7 = 8. What is p?
13. 13.Find the value of 6a + 4b when a = 6 and b = 7.
14. 14.Solve: p + 5 = 20. What is p?
15. 15.Solve: 7m = 21. What is m?
16. 16.Find the value of 5a + 8b when a = 7 and b = 5.
17. 17.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 25 letters?
18. 18.Find the value of 3a + 4b when a = 2 and b = 2.
19. 19.Solve: 6t = 114. What is t?
20. 20.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
21. 21.Solve: y − 2 = 20. What is y?
22. 22.Ananya has k flowers. A friend has 3 more. Which expression shows how many flowers the friend has? (a) k ÷ 3 (b) k + 3 (c) k − 3 (d) 3k
23. 23.Aditya has m kites. A friend has 8 fewer. Which expression shows how many kites the friend has? (a) 8m (b) m ÷ 8 (c) m − 8 (d) m + 8
24. 24.Find the value of 7t + 5 when t = 3.
25. 25.Find the value of 4a + 8b when a = 4 and b = 9.
26. 26.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 9 letters?
27. 27.Find the value of 5a + 6b when a = 7 and b = 2.
28. 28.Find the value of 5y + 11 when y = 11.
29. 29.Find the value of 8a + 5b when a = 4 and b = 2.
30. 30.Solve: p − 3 = 6. What is p?
31. 31.Pooja has m books. A friend has 7 more. Which expression shows how many books the friend has? (a) 7m (b) m − 7 (c) m + 7 (d) m ÷ 7
32. 32.Rahul has p crayons. A friend has 6 times as many. Which expression shows how many crayons the friend has? (a) p + 6 (b) 6p (c) p − 6 (d) p ÷ 6
33. 33.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 18 letters?
34. 34.Find the value of 2a + 3b when a = 4 and b = 2.
35. 35.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 15 letters?
36. 36.Find the value of 3x + 19 when x = 11.
37. 37.Aditya shares k flowers equally among 9 friends. Which expression shows how many flowers each friend gets? (a) k − 9 (b) 9k (c) k ÷ 9 (d) k + 9
38. 38.Find the value of 4a + 8b when a = 6 and b = 9.
39. 39.Find the value of 2p + 12 when p = 12.
40. 40.Find the value of 7x + 6 when x = 2.

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