Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 95 · 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.Find the value of 8a + 3b when a = 1 and b = 6.
2. 2.Find the value of 2x − 7 when x = 7.
3. 3.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 12 letters?
4. 4.Sneha shares n balloons equally among 7 friends. Which expression shows how many balloons each friend gets? (a) n − 7 (b) n + 7 (c) 7n (d) n ÷ 7
5. 5.Zoya has n books. A friend has 2 times as many. Which expression shows how many books the friend has? (a) n + 2 (b) n − 2 (c) 2n (d) n ÷ 2
6. 6.Find the value of 4t + 8 when t = 10.
7. 7.Solve: y − 6 = 20. What is y?
8. 8.Riya has k laddoos. A friend has 9 times as many. Which expression shows how many laddoos the friend has? (a) k − 9 (b) k ÷ 9 (c) k + 9 (d) 9k
9. 9.Find the value of 6m + 9 when m = 5.
10. 10.Find the value of 7t − 10 when t = 4.
11. 11.Solve: y − 4 = 10. What is y?
12. 12.Priya has m pencils. A friend has 6 times as many. Which expression shows how many pencils the friend has? (a) 6m (b) m + 6 (c) m − 6 (d) m ÷ 6
13. 13.Solve: n + 2 = 17. What is n?
14. 14.Find the value of 8y + 4 when y = 6.
15. 15.Find the value of 7a + 7b when a = 6 and b = 7.
16. 16.Find the value of 9a + 6b when a = 8 and b = 3.
17. 17.Find the value of 2a + 5b when a = 1 and b = 4.
18. 18.Solve: 10m = 120. What is m?
19. 19.Find the value of 8t + 9 when t = 12.
20. 20.Solve: p + 7 = 9. What is p?
21. 21.Dev has m shells. A friend has 2 times as many. Which expression shows how many shells the friend has? (a) 2m (b) m + 2 (c) m − 2 (d) m ÷ 2
22. 22.Find the value of 8a + 3b when a = 8 and b = 2.
23. 23.Diya shares p laddoos equally among 5 friends. Which expression shows how many laddoos each friend gets? (a) p + 5 (b) 5p (c) p − 5 (d) p ÷ 5
24. 24.Meera has n balloons. A friend has 2 more. Which expression shows how many balloons the friend has? (a) n ÷ 2 (b) 2n (c) n + 2 (d) n − 2
25. 25.Tara has k kites. A friend has 5 more. Which expression shows how many kites the friend has? (a) k − 5 (b) k + 5 (c) k ÷ 5 (d) 5k
26. 26.Solve: 9x = 153. What is x?
27. 27.Joseph has k flowers. A friend has 2 times as many. Which expression shows how many flowers the friend has? (a) k + 2 (b) 2k (c) k ÷ 2 (d) k − 2
28. 28.Find the value of 6p − 3 when p = 3.
29. 29.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 19 letters?
30. 30.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 24 letters?
31. 31.Find the value of 3a + 4b when a = 7 and b = 4.
32. 32.Find the value of 8a + 7b when a = 1 and b = 10.
33. 33.Solve: n ÷ 2 = 11. What is n?
34. 34.Find the value of 7p + 11 when p = 12.
35. 35.Find the value of 6a + 9b when a = 4 and b = 4.
36. 36.Isha has n balloons. A friend has 2 fewer. Which expression shows how many balloons the friend has? (a) n − 2 (b) n ÷ 2 (c) n + 2 (d) 2n
37. 37.Find the value of 6a + 6b when a = 9 and b = 10.
38. 38.Find the value of 5t − 1 when t = 1.
39. 39.Manav shares n pencils equally among 7 friends. Which expression shows how many pencils each friend gets? (a) n + 7 (b) 7n (c) n − 7 (d) n ÷ 7
40. 40.Gurpreet has n balloons. A friend has 5 times as many. Which expression shows how many balloons the friend has? (a) n ÷ 5 (b) 5n (c) n + 5 (d) n − 5

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