Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 102 · 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 6t − 47 when t = 11.
2. 2.Solve: 10m = 130. What is m?
3. 3.Kavya has k bananas. A friend has 4 times as many. Which expression shows how many bananas the friend has? (a) k − 4 (b) 4k (c) k + 4 (d) k ÷ 4
4. 4.Find the value of 6t − 57 when t = 11.
5. 5.Find the value of 4t + 4 when t = 12.
6. 6.Solve: 4m = 36. What is m?
7. 7.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 17 letters?
8. 8.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
9. 9.Solve: n − 6 = 14. What is n?
10. 10.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
11. 11.Solve: 8m = 8. What is m?
12. 12.Solve: t + 7 = 17. What is t?
13. 13.Find the value of 4a + 2b when a = 7 and b = 4.
14. 14.Find the value of 4a + 7b when a = 5 and b = 9.
15. 15.Ananya shares m balloons equally among 6 friends. Which expression shows how many balloons each friend gets? (a) m ÷ 6 (b) m + 6 (c) m − 6 (d) 6m
16. 16.Find the value of 8x + 11 when x = 4.
17. 17.Find the value of 6a + 5b when a = 2 and b = 8.
18. 18.Find the value of 8a + 4b when a = 3 and b = 5.
19. 19.Find the value of 6y + 6 when y = 9.
20. 20.Tara has p pencils. A friend has 5 more. Which expression shows how many pencils the friend has? (a) 5p (b) p + 5 (c) p − 5 (d) p ÷ 5
21. 21.Find the value of 4a + 2b when a = 3 and b = 3.
22. 22.Find the value of 2t + 20 when t = 8.
23. 23.Ishaan has n mangoes. A friend has 6 times as many. Which expression shows how many mangoes the friend has? (a) n ÷ 6 (b) n + 6 (c) n − 6 (d) 6n
24. 24.Find the value of 3a + 9b when a = 3 and b = 6.
25. 25.Find the value of 6x + 1 when x = 2.
26. 26.Solve: p − 3 = 8. What is p?
27. 27.Find the value of 4m − 7 when m = 2.
28. 28.Aditya shares k crayons equally among 9 friends. Which expression shows how many crayons each friend gets? (a) 9k (b) k − 9 (c) k ÷ 9 (d) k + 9
29. 29.Riya shares n marbles equally among 7 friends. Which expression shows how many marbles each friend gets? (a) n + 7 (b) n − 7 (c) 7n (d) n ÷ 7
30. 30.Arjun has n mangoes. A friend has 5 more. Which expression shows how many mangoes the friend has? (a) n − 5 (b) n ÷ 5 (c) n + 5 (d) 5n
31. 31.Joseph has p laddoos. A friend has 8 fewer. Which expression shows how many laddoos the friend has? (a) p − 8 (b) p ÷ 8 (c) 8p (d) p + 8
32. 32.Tara has k flowers. A friend has 5 fewer. Which expression shows how many flowers the friend has? (a) k + 5 (b) k − 5 (c) k ÷ 5 (d) 5k
33. 33.Find the value of 8p − 8 when p = 2.
34. 34.Aditya shares k flowers equally among 3 friends. Which expression shows how many flowers each friend gets? (a) k + 3 (b) k ÷ 3 (c) 3k (d) k − 3
35. 35.Aarav shares n pencils equally among 3 friends. Which expression shows how many pencils each friend gets? (a) n ÷ 3 (b) n + 3 (c) n − 3 (d) 3n
36. 36.Solve: p + 11 = 17. What is p?
37. 37.Solve: n + 2 = 22. What is n?
38. 38.Solve: y ÷ 2 = 16. What is y?
39. 39.Find the value of 4a + 4b when a = 10 and b = 6.
40. 40.Solve: t ÷ 2 = 9. What is t?

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