Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 526 · 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 U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 18 letters?
2. 2.Find the value of 6a + 4b when a = 2 and b = 8.
3. 3.Find the value of 3y − 6 when y = 5.
4. 4.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?
5. 5.Find the value of 9a + 6b when a = 8 and b = 1.
6. 6.Ananya shares p balloons equally among 7 friends. Which expression shows how many balloons each friend gets? (a) p ÷ 7 (b) p + 7 (c) 7p (d) p − 7
7. 7.Farhan has n flowers. A friend has 3 more. Which expression shows how many flowers the friend has? (a) n − 3 (b) 3n (c) n ÷ 3 (d) n + 3
8. 8.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 17 letters?
9. 9.Solve: y − 4 = 15. What is y?
10. 10.Rohan has n marbles. A friend has 5 more. Which expression shows how many marbles the friend has? (a) n − 5 (b) n ÷ 5 (c) n + 5 (d) 5n
11. 11.Find the value of 5a + 9b when a = 5 and b = 6.
12. 12.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
13. 13.Find the value of 5p + 19 when p = 11.
14. 14.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 21 letters?
15. 15.Find the value of 4p + 2 when p = 10.
16. 16.Vivaan has k marbles. A friend has 2 times as many. Which expression shows how many marbles the friend has? (a) k + 2 (b) k − 2 (c) k ÷ 2 (d) 2k
17. 17.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 18 letters?
18. 18.Dev has m pencils. A friend has 4 fewer. Which expression shows how many pencils the friend has? (a) m + 4 (b) m ÷ 4 (c) 4m (d) m − 4
19. 19.Find the value of 4a + 9b when a = 8 and b = 3.
20. 20.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 16 letters?
21. 21.Solve: 6y = 114. What is y?
22. 22.Find the value of 5x + 13 when x = 9.
23. 23.Find the value of 9x − 5 when x = 1.
24. 24.Solve: t ÷ 6 = 3. What is t?
25. 25.Find the value of 3t − 8 when t = 8.
26. 26.Find the value of 6t + 18 when t = 6.
27. 27.Find the value of 7n − 61 when n = 9.
28. 28.Ananya shares k mangoes equally among 5 friends. Which expression shows how many mangoes each friend gets? (a) k + 5 (b) k − 5 (c) 5k (d) k ÷ 5
29. 29.Find the value of 3x + 12 when x = 10.
30. 30.Find the value of 8a + 3b when a = 7 and b = 1.
31. 31.Solve: m + 6 = 21. What is m?
32. 32.Find the value of 6a + 5b when a = 5 and b = 3.
33. 33.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 26 letters?
34. 34.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
35. 35.Find the value of 9m + 17 when m = 4.
36. 36.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 30 letters?
37. 37.Isha has n balls. A friend has 6 more. Which expression shows how many balls the friend has? (a) n + 6 (b) n ÷ 6 (c) 6n (d) n − 6
38. 38.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?
39. 39.Find the value of 2a + 6b when a = 5 and b = 3.
40. 40.Find the value of 5a + 4b when a = 4 and b = 2.

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