Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 394 · 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 4x + 5 when x = 12.
2. 2.Find the value of 5a + 9b when a = 4 and b = 7.
3. 3.Find the value of 9t + 9 when t = 8.
4. 4.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 13 letters?
5. 5.Solve: m − 5 = 5. What is m?
6. 6.Solve: p + 12 = 25. What is p?
7. 7.Solve: 8p = 64. What is p?
8. 8.Solve: p + 9 = 14. What is p?
9. 9.Solve: p + 7 = 22. What is p?
10. 10.Find the value of 6y + 8 when y = 5.
11. 11.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 15 letters?
12. 12.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 21 letters?
13. 13.Joseph has k balloons. A friend has 5 times as many. Which expression shows how many balloons the friend has? (a) k + 5 (b) k ÷ 5 (c) 5k (d) k − 5
14. 14.Find the value of 6x − 21 when x = 10.
15. 15.Solve: m + 8 = 22. What is m?
16. 16.Solve: m − 11 = 13. What is m?
17. 17.Farhan has k bananas. A friend has 5 fewer. Which expression shows how many bananas the friend has? (a) 5k (b) k ÷ 5 (c) k + 5 (d) k − 5
18. 18.Find the value of 3y + 20 when y = 12.
19. 19.Manav has n flowers. A friend has 9 times as many. Which expression shows how many flowers the friend has? (a) n − 9 (b) n + 9 (c) n ÷ 9 (d) 9n
20. 20.Joseph has m balls. A friend has 5 more. Which expression shows how many balls the friend has? (a) 5m (b) m − 5 (c) m ÷ 5 (d) m + 5
21. 21.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 30 letters?
22. 22.Find the value of 3n + 9 when n = 10.
23. 23.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 27 letters?
24. 24.Solve: p − 5 = 13. What is p?
25. 25.Isha shares k mangoes equally among 8 friends. Which expression shows how many mangoes each friend gets? (a) 8k (b) k + 8 (c) k ÷ 8 (d) k − 8
26. 26.Vivaan has p shells. A friend has 6 fewer. Which expression shows how many shells the friend has? (a) p + 6 (b) p − 6 (c) p ÷ 6 (d) 6p
27. 27.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
28. 28.Ishaan has m flowers. A friend has 3 times as many. Which expression shows how many flowers the friend has? (a) m − 3 (b) m ÷ 3 (c) 3m (d) m + 3
29. 29.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
30. 30.Solve: n ÷ 3 = 7. What is n?
31. 31.Find the value of 4y − 2 when y = 1.
32. 32.Find the value of 3y + 20 when y = 10.
33. 33.Karan has k laddoos. A friend has 9 fewer. Which expression shows how many laddoos the friend has? (a) k + 9 (b) k ÷ 9 (c) 9k (d) k − 9
34. 34.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
35. 35.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 17 letters?
36. 36.Find the value of 5a + 2b when a = 8 and b = 5.
37. 37.Find the value of 4a + 2b when a = 3 and b = 7.
38. 38.Find the value of 8a + 6b when a = 4 and b = 2.
39. 39.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
40. 40.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?

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