Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 542 · 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 E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 8 letters?
2. 2.Find the value of 6a + 2b when a = 8 and b = 8.
3. 3.Arjun has n flowers. A friend has 5 more. Which expression shows how many flowers the friend has? (a) 5n (b) n − 5 (c) n ÷ 5 (d) n + 5
4. 4.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
5. 5.Solve: 8x = 128. What is x?
6. 6.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 30 letters?
7. 7.Solve: n + 9 = 12. What is n?
8. 8.Saanvi has m mangoes. A friend has 7 more. Which expression shows how many mangoes the friend has? (a) m ÷ 7 (b) 7m (c) m − 7 (d) m + 7
9. 9.Solve: m ÷ 5 = 12. What is m?
10. 10.Find the value of 7n + 14 when n = 3.
11. 11.Solve: 8x = 112. What is x?
12. 12.Tara shares n shells equally among 2 friends. Which expression shows how many shells each friend gets? (a) n − 2 (b) 2n (c) n ÷ 2 (d) n + 2
13. 13.Rahul has k laddoos. A friend has 3 times as many. Which expression shows how many laddoos the friend has? (a) k + 3 (b) k ÷ 3 (c) 3k (d) k − 3
14. 14.Find the value of 5x − 17 when x = 11.
15. 15.Rohan has p crayons. A friend has 3 more. Which expression shows how many crayons the friend has? (a) p − 3 (b) 3p (c) p + 3 (d) p ÷ 3
16. 16.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
17. 17.Solve: t − 6 = 10. What is t?
18. 18.Find the value of 7p + 1 when p = 5.
19. 19.Find the value of 9t + 20 when t = 8.
20. 20.Find the value of 4y − 3 when y = 1.
21. 21.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 19 letters?
22. 22.Solve: p + 7 = 10. What is p?
23. 23.Find the value of 2m + 6 when m = 6.
24. 24.Solve: p ÷ 9 = 18. What is p?
25. 25.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
26. 26.Priya has k balls. A friend has 6 times as many. Which expression shows how many balls the friend has? (a) k − 6 (b) 6k (c) k ÷ 6 (d) k + 6
27. 27.Find the value of 5y + 3 when y = 2.
28. 28.Dev has n balloons. A friend has 5 fewer. Which expression shows how many balloons the friend has? (a) 5n (b) n ÷ 5 (c) n − 5 (d) n + 5
29. 29.Kabir shares m flowers equally among 6 friends. Which expression shows how many flowers each friend gets? (a) 6m (b) m ÷ 6 (c) m − 6 (d) m + 6
30. 30.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 27 letters?
31. 31.Find the value of 4a + 3b when a = 10 and b = 1.
32. 32.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 15 letters?
33. 33.Find the value of 7y − 6 when y = 1.
34. 34.Find the value of 3a + 9b when a = 5 and b = 7.
35. 35.Find the value of 9y + 2 when y = 12.
36. 36.Find the value of 2m − 2 when m = 6.
37. 37.Find the value of 3n + 12 when n = 10.
38. 38.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 19 letters?
39. 39.Find the value of 9n − 22 when n = 10.
40. 40.Manav has m balls. A friend has 9 times as many. Which expression shows how many balls the friend has? (a) 9m (b) m ÷ 9 (c) m − 9 (d) m + 9

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