Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 156 · 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.Farhan has n crayons. A friend has 7 more. Which expression shows how many crayons the friend has? (a) n − 7 (b) n + 7 (c) n ÷ 7 (d) 7n
2. 2.Find the value of 2a + 9b when a = 9 and b = 10.
3. 3.Gurpreet has k kites. A friend has 2 more. Which expression shows how many kites the friend has? (a) k − 2 (b) 2k (c) k ÷ 2 (d) k + 2
4. 4.Find the value of 7y + 18 when y = 12.
5. 5.Ananya has p balloons. A friend has 3 more. Which expression shows how many balloons the friend has? (a) p ÷ 3 (b) p − 3 (c) 3p (d) p + 3
6. 6.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 18 letters?
7. 7.Find the value of 2a + 3b when a = 10 and b = 8.
8. 8.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
9. 9.Solve: x + 9 = 24. What is x?
10. 10.Find the value of 7a + 9b when a = 3 and b = 10.
11. 11.Solve: m + 3 = 22. What is m?
12. 12.Solve: m ÷ 8 = 9. What is m?
13. 13.Joseph shares n kites equally among 4 friends. Which expression shows how many kites each friend gets? (a) n ÷ 4 (b) 4n (c) n + 4 (d) n − 4
14. 14.Solve: 11m = 187. What is m?
15. 15.Find the value of 9a + 5b when a = 7 and b = 8.
16. 16.Solve: t + 2 = 17. What is t?
17. 17.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 24 letters?
18. 18.Find the value of 7a + 5b when a = 3 and b = 1.
19. 19.Solve: t + 12 = 15. What is t?
20. 20.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 20 letters?
21. 21.Rahul has p books. A friend has 5 fewer. Which expression shows how many books the friend has? (a) p + 5 (b) p ÷ 5 (c) 5p (d) p − 5
22. 22.Karan has k shells. A friend has 9 fewer. Which expression shows how many shells the friend has? (a) k ÷ 9 (b) k − 9 (c) 9k (d) k + 9
23. 23.Solve: p − 8 = 4. What is p?
24. 24.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
25. 25.Find the value of 6y + 19 when y = 12.
26. 26.Find the value of 4a + 7b when a = 7 and b = 6.
27. 27.Find the value of 6a + 6b when a = 2 and b = 9.
28. 28.Solve: p ÷ 6 = 10. What is p?
29. 29.Find the value of 7y − 49 when y = 12.
30. 30.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 15 letters?
31. 31.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
32. 32.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
33. 33.Solve: 3p = 42. What is p?
34. 34.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 20 letters?
35. 35.Find the value of 9a + 5b when a = 1 and b = 7.
36. 36.Find the value of 7a + 2b when a = 6 and b = 2.
37. 37.Find the value of 4t + 14 when t = 1.
38. 38.Find the value of 4a + 8b when a = 9 and b = 7.
39. 39.Find the value of 2m + 19 when m = 5.
40. 40.Find the value of 2n + 19 when n = 5.

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