Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 435 · 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 U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 26 letters?
2. 2.Solve: m ÷ 9 = 12. What is m?
3. 3.Solve: y ÷ 12 = 4. What is y?
4. 4.Find the value of 5m − 9 when m = 9.
5. 5.Find the value of 7a + 5b when a = 4 and b = 6.
6. 6.Isha has k balls. A friend has 2 fewer. Which expression shows how many balls the friend has? (a) k ÷ 2 (b) 2k (c) k − 2 (d) k + 2
7. 7.Find the value of 3a + 8b when a = 3 and b = 10.
8. 8.Find the value of 4m − 10 when m = 6.
9. 9.Find the value of 3a + 4b when a = 7 and b = 1.
10. 10.Find the value of 8a + 3b when a = 8 and b = 3.
11. 11.Find the value of 2m − 14 when m = 9.
12. 12.Find the value of 7t − 12 when t = 10.
13. 13.Find the value of 3p + 6 when p = 5.
14. 14.Solve: p ÷ 5 = 15. What is p?
15. 15.Find the value of 3m + 5 when m = 10.
16. 16.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
17. 17.Ishaan has n mangoes. A friend has 7 fewer. Which expression shows how many mangoes the friend has? (a) n + 7 (b) n − 7 (c) 7n (d) n ÷ 7
18. 18.Saanvi has m balls. A friend has 4 times as many. Which expression shows how many balls the friend has? (a) m − 4 (b) m ÷ 4 (c) m + 4 (d) 4m
19. 19.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 18 letters?
20. 20.Find the value of 9a + 5b when a = 1 and b = 3.
21. 21.Find the value of 9m − 22 when m = 3.
22. 22.Sneha has k flowers. A friend has 7 more. Which expression shows how many flowers the friend has? (a) k − 7 (b) k ÷ 7 (c) k + 7 (d) 7k
23. 23.Find the value of 3a + 4b when a = 8 and b = 7.
24. 24.Find the value of 6y − 9 when y = 9.
25. 25.Find the value of 6y + 9 when y = 10.
26. 26.Meera has n shells. A friend has 8 times as many. Which expression shows how many shells the friend has? (a) n − 8 (b) n + 8 (c) n ÷ 8 (d) 8n
27. 27.Find the value of 3n + 16 when n = 2.
28. 28.Solve: n − 12 = 8. What is n?
29. 29.Solve: m + 12 = 14. What is m?
30. 30.Lakshmi has m shells. A friend has 6 fewer. Which expression shows how many shells the friend has? (a) m + 6 (b) 6m (c) m ÷ 6 (d) m − 6
31. 31.Find the value of 3x + 19 when x = 1.
32. 32.Karan has p kites. A friend has 7 times as many. Which expression shows how many kites the friend has? (a) p − 7 (b) p + 7 (c) p ÷ 7 (d) 7p
33. 33.Find the value of 5x − 9 when x = 12.
34. 34.Solve: x + 12 = 16. What is x?
35. 35.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 29 letters?
36. 36.Nisha shares m flowers equally among 4 friends. Which expression shows how many flowers each friend gets? (a) m + 4 (b) 4m (c) m − 4 (d) m ÷ 4
37. 37.Find the value of 4t − 1 when t = 1.
38. 38.Find the value of 7a + 3b when a = 4 and b = 8.
39. 39.Find the value of 7a + 5b when a = 9 and b = 6.
40. 40.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 15 letters?

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