Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 624 · 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 has p laddoos. A friend has 3 times as many. Which expression shows how many laddoos the friend has? (a) p ÷ 3 (b) p + 3 (c) 3p (d) p − 3
2. 2.Solve: p ÷ 9 = 3. What is p?
3. 3.Find the value of 5a + 5b when a = 8 and b = 7.
4. 4.Solve: 11y = 220. What is y?
5. 5.Lakshmi shares p flowers equally among 3 friends. Which expression shows how many flowers each friend gets? (a) 3p (b) p ÷ 3 (c) p + 3 (d) p − 3
6. 6.Solve: 7y = 133. What is y?
7. 7.Farhan has n bananas. A friend has 3 more. Which expression shows how many bananas the friend has? (a) n ÷ 3 (b) n + 3 (c) 3n (d) n − 3
8. 8.Aarav has p shells. A friend has 7 fewer. Which expression shows how many shells the friend has? (a) 7p (b) p ÷ 7 (c) p − 7 (d) p + 7
9. 9.Solve: n ÷ 9 = 2. What is n?
10. 10.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 25 letters?
11. 11.Solve: 7n = 105. What is n?
12. 12.Find the value of 5a + 3b when a = 9 and b = 7.
13. 13.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 22 letters?
14. 14.Find the value of 7m − 3 when m = 2.
15. 15.Find the value of 2a + 7b when a = 1 and b = 5.
16. 16.Solve: n + 5 = 10. What is n?
17. 17.Saanvi has p balloons. A friend has 9 more. Which expression shows how many balloons the friend has? (a) 9p (b) p ÷ 9 (c) p − 9 (d) p + 9
18. 18.Find the value of 7a + 6b when a = 8 and b = 4.
19. 19.Solve: y + 2 = 22. What is y?
20. 20.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
21. 21.Find the value of 5p + 17 when p = 4.
22. 22.Find the value of 9a + 5b when a = 4 and b = 4.
23. 23.Gurpreet shares m flowers equally among 5 friends. Which expression shows how many flowers each friend gets? (a) 5m (b) m + 5 (c) m ÷ 5 (d) m − 5
24. 24.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 24 letters?
25. 25.Find the value of 5a + 6b when a = 4 and b = 1.
26. 26.Riya has p books. A friend has 9 fewer. Which expression shows how many books the friend has? (a) p + 9 (b) p ÷ 9 (c) 9p (d) p − 9
27. 27.Solve: x + 10 = 18. What is x?
28. 28.Riya has p crayons. A friend has 8 more. Which expression shows how many crayons the friend has? (a) p ÷ 8 (b) 8p (c) p − 8 (d) p + 8
29. 29.Solve: 3p = 45. What is p?
30. 30.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?
31. 31.Find the value of 9a + 3b when a = 6 and b = 10.
32. 32.Diya has m balls. A friend has 6 more. Which expression shows how many balls the friend has? (a) m − 6 (b) 6m (c) m ÷ 6 (d) m + 6
33. 33.Nisha has m bananas. A friend has 3 more. Which expression shows how many bananas the friend has? (a) 3m (b) m − 3 (c) m + 3 (d) m ÷ 3
34. 34.Solve: 11m = 44. What is m?
35. 35.Joseph has n mangoes. A friend has 3 times as many. Which expression shows how many mangoes the friend has? (a) 3n (b) n ÷ 3 (c) n + 3 (d) n − 3
36. 36.Find the value of 9m − 9 when m = 8.
37. 37.Solve: 6m = 12. What is m?
38. 38.Find the value of 4y + 7 when y = 10.
39. 39.Rahul shares n bananas equally among 4 friends. Which expression shows how many bananas each friend gets? (a) n − 4 (b) 4n (c) n + 4 (d) n ÷ 4
40. 40.Solve: x + 8 = 13. What is x?

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