Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 622 · 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.Joseph has m marbles. A friend has 2 more. Which expression shows how many marbles the friend has? (a) m − 2 (b) m ÷ 2 (c) 2m (d) m + 2
2. 2.Solve: x ÷ 5 = 1. What is x?
3. 3.Find the value of 7m + 17 when m = 6.
4. 4.Find the value of 4n − 2 when n = 7.
5. 5.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 10 letters?
6. 6.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 18 letters?
7. 7.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
8. 8.Find the value of 2m + 15 when m = 9.
9. 9.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
10. 10.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
11. 11.Solve: 7t = 105. What is t?
12. 12.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
13. 13.Solve: t ÷ 3 = 4. What is t?
14. 14.Find the value of 3p + 9 when p = 1.
15. 15.Find the value of 2a + 6b when a = 2 and b = 2.
16. 16.Find the value of 7t + 1 when t = 11.
17. 17.Find the value of 6a + 8b when a = 9 and b = 7.
18. 18.Find the value of 9x + 4 when x = 7.
19. 19.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
20. 20.Find the value of 9n + 1 when n = 9.
21. 21.Find the value of 5p − 19 when p = 7.
22. 22.Solve: p − 8 = 5. What is p?
23. 23.Find the value of 7y − 5 when y = 6.
24. 24.Find the value of 9a + 4b when a = 1 and b = 1.
25. 25.Joseph has p crayons. A friend has 3 times as many. Which expression shows how many crayons the friend has? (a) p − 3 (b) p + 3 (c) 3p (d) p ÷ 3
26. 26.Find the value of 9a + 2b when a = 2 and b = 6.
27. 27.Find the value of 7m − 26 when m = 5.
28. 28.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
29. 29.Find the value of 4t − 2 when t = 3.
30. 30.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 16 letters?
31. 31.Find the value of 5a + 5b when a = 8 and b = 8.
32. 32.Find the value of 4p + 5 when p = 12.
33. 33.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 22 letters?
34. 34.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
35. 35.Solve: x ÷ 12 = 14. What is x?
36. 36.Solve: n − 5 = 12. What is n?
37. 37.Kabir has n balloons. A friend has 3 fewer. Which expression shows how many balloons the friend has? (a) n + 3 (b) 3n (c) n − 3 (d) n ÷ 3
38. 38.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
39. 39.Lakshmi has p flowers. A friend has 5 fewer. Which expression shows how many flowers the friend has? (a) p + 5 (b) p − 5 (c) 5p (d) p ÷ 5
40. 40.Saanvi has n bananas. A friend has 2 more. Which expression shows how many bananas the friend has? (a) n ÷ 2 (b) n + 2 (c) n − 2 (d) 2n

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