Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 514 · 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.Tara shares m crayons equally among 2 friends. Which expression shows how many crayons each friend gets? (a) 2m (b) m − 2 (c) m + 2 (d) m ÷ 2
2. 2.Saanvi shares m balls equally among 9 friends. Which expression shows how many balls each friend gets? (a) m − 9 (b) m ÷ 9 (c) m + 9 (d) 9m
3. 3.Solve: y − 2 = 6. What is y?
4. 4.Lakshmi has k kites. A friend has 8 times as many. Which expression shows how many kites the friend has? (a) k + 8 (b) k ÷ 8 (c) 8k (d) k − 8
5. 5.Solve: t + 4 = 9. What is t?
6. 6.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
7. 7.Find the value of 8a + 4b when a = 4 and b = 8.
8. 8.Zoya has m flowers. A friend has 9 times as many. Which expression shows how many flowers the friend has? (a) m + 9 (b) m ÷ 9 (c) 9m (d) m − 9
9. 9.Karan has n mangoes. A friend has 5 times as many. Which expression shows how many mangoes the friend has? (a) n ÷ 5 (b) n − 5 (c) 5n (d) n + 5
10. 10.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 19 letters?
11. 11.Find the value of 3n + 10 when n = 9.
12. 12.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 20 letters?
13. 13.Solve: x ÷ 5 = 13. What is x?
14. 14.Find the value of 2a + 2b when a = 3 and b = 5.
15. 15.Find the value of 3a + 7b when a = 3 and b = 10.
16. 16.Solve: n + 10 = 22. What is n?
17. 17.Tara has k mangoes. A friend has 2 fewer. Which expression shows how many mangoes the friend has? (a) k − 2 (b) 2k (c) k ÷ 2 (d) k + 2
18. 18.Find the value of 9y + 13 when y = 8.
19. 19.Find the value of 9a + 6b when a = 1 and b = 9.
20. 20.Kabir has m marbles. A friend has 9 more. Which expression shows how many marbles the friend has? (a) 9m (b) m − 9 (c) m + 9 (d) m ÷ 9
21. 21.Find the value of 2x + 10 when x = 5.
22. 22.Solve: p + 11 = 12. What is p?
23. 23.Find the value of 6y − 8 when y = 3.
24. 24.Solve: x − 11 = 12. What is x?
25. 25.Solve: n ÷ 9 = 13. What is n?
26. 26.Find the value of 3n − 17 when n = 6.
27. 27.Find the value of 9a + 2b when a = 9 and b = 2.
28. 28.Find the value of 2a + 2b when a = 7 and b = 5.
29. 29.Solve: y − 12 = 13. What is y?
30. 30.Find the value of 2t + 19 when t = 1.
31. 31.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 30 letters?
32. 32.Find the value of 8x + 19 when x = 12.
33. 33.Solve: p + 10 = 30. What is p?
34. 34.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 22 letters?
35. 35.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 7 letters?
36. 36.Arjun has n mangoes. A friend has 2 more. Which expression shows how many mangoes the friend has? (a) n − 2 (b) n ÷ 2 (c) n + 2 (d) 2n
37. 37.Solve: 5y = 15. What is y?
38. 38.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 17 letters?
39. 39.Solve: p + 6 = 20. What is p?
40. 40.Find the value of 3a + 3b when a = 8 and b = 10.

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