Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 325 · 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 L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 27 letters?
2. 2.Find the value of 7t + 7 when t = 12.
3. 3.Find the value of 6x + 5 when x = 3.
4. 4.Find the value of 3y + 9 when y = 2.
5. 5.Solve: 9p = 54. What is p?
6. 6.Find the value of 8p + 19 when p = 8.
7. 7.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 30 letters?
8. 8.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 19 letters?
9. 9.Find the value of 4a + 6b when a = 5 and b = 6.
10. 10.Find the value of 2a + 5b when a = 8 and b = 5.
11. 11.Solve: t ÷ 9 = 19. What is t?
12. 12.Find the value of 9y + 5 when y = 7.
13. 13.Solve: p ÷ 2 = 11. What is p?
14. 14.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 7 letters?
15. 15.Aarav has m marbles. A friend has 7 more. Which expression shows how many marbles the friend has? (a) m − 7 (b) m ÷ 7 (c) m + 7 (d) 7m
16. 16.Solve: m + 5 = 22. What is m?
17. 17.Find the value of 3y + 8 when y = 9.
18. 18.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
19. 19.Find the value of 4m + 6 when m = 5.
20. 20.Find the value of 3a + 8b when a = 8 and b = 10.
21. 21.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 17 letters?
22. 22.Find the value of 9x + 1 when x = 7.
23. 23.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 20 letters?
24. 24.Isha has k pencils. A friend has 7 times as many. Which expression shows how many pencils the friend has? (a) k − 7 (b) 7k (c) k ÷ 7 (d) k + 7
25. 25.Find the value of 2t + 20 when t = 2.
26. 26.Find the value of 2p + 13 when p = 9.
27. 27.Find the value of 7a + 5b when a = 5 and b = 10.
28. 28.Find the value of 7a + 6b when a = 2 and b = 9.
29. 29.Find the value of 4t + 8 when t = 7.
30. 30.Riya has p crayons. A friend has 2 fewer. Which expression shows how many crayons the friend has? (a) 2p (b) p + 2 (c) p − 2 (d) p ÷ 2
31. 31.Find the value of 4a + 2b when a = 10 and b = 8.
32. 32.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
33. 33.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
34. 34.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
35. 35.Find the value of 6a + 3b when a = 2 and b = 7.
36. 36.Find the value of 6a + 2b when a = 2 and b = 7.
37. 37.Find the value of 6m + 5 when m = 8.
38. 38.Diya has p kites. A friend has 3 more. Which expression shows how many kites the friend has? (a) 3p (b) p − 3 (c) p ÷ 3 (d) p + 3
39. 39.Vivaan has m shells. A friend has 6 more. Which expression shows how many shells the friend has? (a) m + 6 (b) m ÷ 6 (c) 6m (d) m − 6
40. 40.Ananya has p pencils. A friend has 2 more. Which expression shows how many pencils the friend has? (a) p ÷ 2 (b) 2p (c) p + 2 (d) p − 2

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