Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 190 · 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.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
2. 2.Solve: y + 10 = 28. What is y?
3. 3.Find the value of 2p − 1 when p = 1.
4. 4.Aarav has k crayons. A friend has 9 more. Which expression shows how many crayons the friend has? (a) k + 9 (b) k ÷ 9 (c) k − 9 (d) 9k
5. 5.Priya has n bananas. A friend has 9 times as many. Which expression shows how many bananas the friend has? (a) 9n (b) n + 9 (c) n ÷ 9 (d) n − 9
6. 6.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
7. 7.Find the value of 5a + 4b when a = 5 and b = 5.
8. 8.Vivaan has n kites. A friend has 5 more. Which expression shows how many kites the friend has? (a) n ÷ 5 (b) n + 5 (c) 5n (d) n − 5
9. 9.Find the value of 3y + 3 when y = 9.
10. 10.Find the value of 7n − 18 when n = 7.
11. 11.Solve: 9x = 27. What is x?
12. 12.Pooja has m crayons. A friend has 7 times as many. Which expression shows how many crayons the friend has? (a) m ÷ 7 (b) m − 7 (c) m + 7 (d) 7m
13. 13.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
14. 14.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?
15. 15.Riya has m pencils. A friend has 3 times as many. Which expression shows how many pencils the friend has? (a) m + 3 (b) m ÷ 3 (c) m − 3 (d) 3m
16. 16.Solve: y − 6 = 20. What is y?
17. 17.Sneha shares m crayons equally among 5 friends. Which expression shows how many crayons each friend gets? (a) m + 5 (b) m ÷ 5 (c) m − 5 (d) 5m
18. 18.Solve: 7t = 28. What is t?
19. 19.Find the value of 9a + 7b when a = 10 and b = 3.
20. 20.Solve: 4t = 56. What is t?
21. 21.Solve: n + 2 = 13. What is n?
22. 22.Solve: m ÷ 8 = 5. What is m?
23. 23.Find the value of 9n − 68 when n = 8.
24. 24.Solve: 6p = 18. What is p?
25. 25.Solve: x ÷ 11 = 17. What is x?
26. 26.Find the value of 9a + 6b when a = 1 and b = 2.
27. 27.Solve: y − 7 = 9. What is y?
28. 28.Solve: 12m = 72. What is m?
29. 29.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 22 letters?
30. 30.Find the value of 4y − 4 when y = 3.
31. 31.Find the value of 3a + 8b when a = 9 and b = 6.
32. 32.Find the value of 6p + 18 when p = 8.
33. 33.Find the value of 9a + 4b when a = 3 and b = 1.
34. 34.Solve: n − 7 = 1. What is n?
35. 35.Karan shares p bananas equally among 5 friends. Which expression shows how many bananas each friend gets? (a) p − 5 (b) 5p (c) p + 5 (d) p ÷ 5
36. 36.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
37. 37.Solve: p − 3 = 12. What is p?
38. 38.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?
39. 39.Find the value of 9a + 8b when a = 6 and b = 8.
40. 40.Find the value of 5a + 7b when a = 7 and b = 7.

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