Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 444 · 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.Solve: x − 5 = 8. What is x?
2. 2.Find the value of 9a + 3b when a = 1 and b = 9.
3. 3.Find the value of 3a + 7b when a = 10 and b = 10.
4. 4.Find the value of 6a + 6b when a = 2 and b = 7.
5. 5.Find the value of 5a + 2b when a = 4 and b = 2.
6. 6.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 28 letters?
7. 7.Find the value of 5y − 6 when y = 11.
8. 8.Find the value of 2m + 13 when m = 2.
9. 9.Find the value of 8a + 3b when a = 3 and b = 2.
10. 10.Solve: t + 2 = 9. What is t?
11. 11.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 10 letters?
12. 12.Ananya has n pencils. A friend has 8 fewer. Which expression shows how many pencils the friend has? (a) n + 8 (b) n ÷ 8 (c) n − 8 (d) 8n
13. 13.Find the value of 9a + 6b when a = 7 and b = 8.
14. 14.Find the value of 5n − 12 when n = 3.
15. 15.Find the value of 8m + 7 when m = 7.
16. 16.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
17. 17.Solve: y + 11 = 15. What is y?
18. 18.Tara has m crayons. A friend has 7 more. Which expression shows how many crayons the friend has? (a) m + 7 (b) 7m (c) m ÷ 7 (d) m − 7
19. 19.Aarav shares p kites equally among 6 friends. Which expression shows how many kites each friend gets? (a) p ÷ 6 (b) p + 6 (c) 6p (d) p − 6
20. 20.Find the value of 4a + 7b when a = 4 and b = 3.
21. 21.Solve: n − 11 = 7. What is n?
22. 22.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 27 letters?
23. 23.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 14 letters?
24. 24.Priya has p balloons. A friend has 9 more. Which expression shows how many balloons the friend has? (a) p − 9 (b) p + 9 (c) 9p (d) p ÷ 9
25. 25.Solve: x + 8 = 18. What is x?
26. 26.Find the value of 7x − 1 when x = 3.
27. 27.Solve: 12m = 132. What is m?
28. 28.Find the value of 9x − 13 when x = 7.
29. 29.Find the value of 5y + 5 when y = 8.
30. 30.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 24 letters?
31. 31.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
32. 32.Solve: t − 3 = 10. What is t?
33. 33.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
34. 34.Find the value of 8x − 29 when x = 5.
35. 35.Ananya shares p pencils equally among 8 friends. Which expression shows how many pencils each friend gets? (a) 8p (b) p ÷ 8 (c) p − 8 (d) p + 8
36. 36.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
37. 37.Find the value of 8x + 1 when x = 8.
38. 38.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?
39. 39.Solve: n ÷ 12 = 3. What is n?
40. 40.Find the value of 7y + 15 when y = 2.

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