Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 445 · 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.Ishaan has m mangoes. A friend has 3 times as many. Which expression shows how many mangoes the friend has? (a) 3m (b) m − 3 (c) m + 3 (d) m ÷ 3
2. 2.Find the value of 7n + 17 when n = 10.
3. 3.Find the value of 8a + 9b when a = 4 and b = 10.
4. 4.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
5. 5.Solve: 3t = 42. What is t?
6. 6.Solve: y ÷ 2 = 11. What is y?
7. 7.Arjun has m balloons. A friend has 5 fewer. Which expression shows how many balloons the friend has? (a) m ÷ 5 (b) m + 5 (c) 5m (d) m − 5
8. 8.Find the value of 9a + 3b when a = 8 and b = 4.
9. 9.Nisha has k balls. A friend has 9 fewer. Which expression shows how many balls the friend has? (a) k ÷ 9 (b) k + 9 (c) 9k (d) k − 9
10. 10.Solve: p ÷ 8 = 14. What is p?
11. 11.Find the value of 7y − 2 when y = 7.
12. 12.Find the value of 5t + 1 when t = 3.
13. 13.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
14. 14.Solve: 3x = 42. What is x?
15. 15.Find the value of 2a + 4b when a = 5 and b = 4.
16. 16.Lakshmi has n shells. A friend has 3 times as many. Which expression shows how many shells the friend has? (a) n + 3 (b) 3n (c) n ÷ 3 (d) n − 3
17. 17.Solve: n + 5 = 14. What is n?
18. 18.Find the value of 9p + 7 when p = 8.
19. 19.Kabir has m books. A friend has 4 more. Which expression shows how many books the friend has? (a) 4m (b) m − 4 (c) m ÷ 4 (d) m + 4
20. 20.Find the value of 4a + 2b when a = 4 and b = 1.
21. 21.Solve: p ÷ 4 = 11. What is p?
22. 22.Find the value of 7y + 16 when y = 5.
23. 23.Vivaan has n bananas. A friend has 8 more. Which expression shows how many bananas the friend has? (a) 8n (b) n + 8 (c) n ÷ 8 (d) n − 8
24. 24.Solve: x ÷ 11 = 2. What is x?
25. 25.Gurpreet has n balloons. A friend has 6 times as many. Which expression shows how many balloons the friend has? (a) n + 6 (b) 6n (c) n ÷ 6 (d) n − 6
26. 26.Find the value of 5a + 9b when a = 3 and b = 8.
27. 27.Find the value of 9a + 5b when a = 10 and b = 3.
28. 28.Find the value of 6y + 7 when y = 2.
29. 29.Joseph has k shells. A friend has 4 fewer. Which expression shows how many shells the friend has? (a) k + 4 (b) 4k (c) k − 4 (d) k ÷ 4
30. 30.Manav has k flowers. A friend has 3 more. Which expression shows how many flowers the friend has? (a) k ÷ 3 (b) 3k (c) k + 3 (d) k − 3
31. 31.Solve: p − 10 = 16. What is p?
32. 32.Find the value of 3a + 5b when a = 7 and b = 5.
33. 33.Find the value of 7a + 4b when a = 10 and b = 9.
34. 34.Riya has m flowers. A friend has 9 times as many. Which expression shows how many flowers the friend has? (a) 9m (b) m ÷ 9 (c) m + 9 (d) m − 9
35. 35.Solve: 7x = 119. What is x?
36. 36.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
37. 37.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 20 letters?
38. 38.Ananya has p balloons. A friend has 5 fewer. Which expression shows how many balloons the friend has? (a) 5p (b) p + 5 (c) p ÷ 5 (d) p − 5
39. 39.Find the value of 9a + 2b when a = 10 and b = 7.
40. 40.Find the value of 8a + 4b when a = 2 and b = 3.

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