Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 167 · 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 3a + 3b when a = 5 and b = 3.
2. 2.Solve: x − 4 = 18. What is x?
3. 3.Find the value of 7x − 25 when x = 5.
4. 4.Find the value of 8a + 6b when a = 2 and b = 2.
5. 5.Solve: x ÷ 8 = 15. What is x?
6. 6.Find the value of 2y + 1 when y = 8.
7. 7.Find the value of 8p + 11 when p = 11.
8. 8.Find the value of 5x + 14 when x = 12.
9. 9.Find the value of 2a + 6b when a = 2 and b = 7.
10. 10.Find the value of 4p + 20 when p = 8.
11. 11.Find the value of 8a + 6b when a = 10 and b = 5.
12. 12.Find the value of 9p + 6 when p = 5.
13. 13.Find the value of 9a + 9b when a = 9 and b = 1.
14. 14.Find the value of 7x − 6 when x = 1.
15. 15.Tara shares n bananas equally among 2 friends. Which expression shows how many bananas each friend gets? (a) n + 2 (b) n ÷ 2 (c) 2n (d) n − 2
16. 16.Meera has k crayons. A friend has 9 times as many. Which expression shows how many crayons the friend has? (a) k + 9 (b) 9k (c) k ÷ 9 (d) k − 9
17. 17.Solve: x + 4 = 20. What is x?
18. 18.Solve: n − 10 = 10. What is n?
19. 19.Find the value of 2a + 6b when a = 6 and b = 8.
20. 20.Solve: p ÷ 10 = 4. What is p?
21. 21.Find the value of 6y − 17 when y = 4.
22. 22.Kavya has k marbles. A friend has 4 times as many. Which expression shows how many marbles the friend has? (a) k − 4 (b) k ÷ 4 (c) 4k (d) k + 4
23. 23.Find the value of 7a + 5b when a = 6 and b = 10.
24. 24.Find the value of 7a + 5b when a = 4 and b = 8.
25. 25.Find the value of 4a + 4b when a = 4 and b = 3.
26. 26.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 26 letters?
27. 27.Find the value of 3x + 17 when x = 3.
28. 28.Find the value of 3p + 12 when p = 6.
29. 29.Sneha has k flowers. A friend has 9 more. Which expression shows how many flowers the friend has? (a) k + 9 (b) 9k (c) k − 9 (d) k ÷ 9
30. 30.Find the value of 5a + 6b when a = 5 and b = 6.
31. 31.Find the value of 7a + 4b when a = 7 and b = 7.
32. 32.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
33. 33.Kabir has k mangoes. A friend has 9 more. Which expression shows how many mangoes the friend has? (a) k ÷ 9 (b) 9k (c) k + 9 (d) k − 9
34. 34.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 16 letters?
35. 35.Find the value of 3y − 6 when y = 6.
36. 36.Ishaan shares m flowers equally among 6 friends. Which expression shows how many flowers each friend gets? (a) m ÷ 6 (b) 6m (c) m + 6 (d) m − 6
37. 37.Find the value of 4a + 8b when a = 3 and b = 10.
38. 38.Diya has k balls. A friend has 5 fewer. Which expression shows how many balls the friend has? (a) k + 5 (b) k ÷ 5 (c) 5k (d) k − 5
39. 39.Rahul shares p laddoos equally among 4 friends. Which expression shows how many laddoos each friend gets? (a) 4p (b) p − 4 (c) p + 4 (d) p ÷ 4
40. 40.Find the value of 5a + 3b when a = 10 and b = 5.

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