Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 516 · 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 4t + 12 when t = 10.
2. 2.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 17 letters?
3. 3.Solve: m − 5 = 5. What is m?
4. 4.Find the value of 2p + 3 when p = 1.
5. 5.Solve: t ÷ 4 = 1. What is t?
6. 6.Find the value of 8a + 7b when a = 2 and b = 9.
7. 7.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
8. 8.Solve: y ÷ 2 = 1. What is y?
9. 9.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 18 letters?
10. 10.Find the value of 4a + 2b when a = 3 and b = 8.
11. 11.Arjun has m crayons. A friend has 3 times as many. Which expression shows how many crayons the friend has? (a) m + 3 (b) m − 3 (c) m ÷ 3 (d) 3m
12. 12.Solve: 12y = 72. What is y?
13. 13.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
14. 14.Arjun has p balloons. A friend has 8 more. Which expression shows how many balloons the friend has? (a) 8p (b) p ÷ 8 (c) p + 8 (d) p − 8
15. 15.Find the value of 3y + 20 when y = 7.
16. 16.Find the value of 4n + 3 when n = 5.
17. 17.Find the value of 5a + 5b when a = 7 and b = 8.
18. 18.Manav has k bananas. A friend has 4 more. Which expression shows how many bananas the friend has? (a) k − 4 (b) k + 4 (c) 4k (d) k ÷ 4
19. 19.Find the value of 3t + 5 when t = 5.
20. 20.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 29 letters?
21. 21.Solve: x − 8 = 15. What is x?
22. 22.Solve: t + 5 = 7. What is t?
23. 23.Find the value of 5n + 15 when n = 1.
24. 24.Find the value of 2x − 12 when x = 10.
25. 25.Find the value of 8n − 18 when n = 3.
26. 26.Find the value of 4t + 17 when t = 10.
27. 27.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 20 letters?
28. 28.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 29 letters?
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.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
31. 31.Find the value of 9p − 31 when p = 10.
32. 32.Find the value of 3a + 9b when a = 7 and b = 1.
33. 33.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 17 letters?
34. 34.Find the value of 8a + 7b when a = 8 and b = 9.
35. 35.Find the value of 7n − 32 when n = 5.
36. 36.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 26 letters?
37. 37.Solve: 4y = 4. What is y?
38. 38.Find the value of 4y + 1 when y = 6.
39. 39.Pooja has n marbles. A friend has 9 fewer. Which expression shows how many marbles the friend has? (a) n − 9 (b) n + 9 (c) 9n (d) n ÷ 9
40. 40.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 25 letters?

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