Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 388 · 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 5m + 20 when m = 1.
2. 2.Solve: y + 7 = 12. What is y?
3. 3.Find the value of 2x + 16 when x = 5.
4. 4.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
5. 5.Find the value of 3p − 26 when p = 11.
6. 6.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
7. 7.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
8. 8.Find the value of 2a + 8b when a = 4 and b = 7.
9. 9.Solve: y ÷ 10 = 10. What is y?
10. 10.Find the value of 4p − 4 when p = 2.
11. 11.Solve: x − 10 = 8. What is x?
12. 12.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 24 letters?
13. 13.Find the value of 5a + 8b when a = 10 and b = 7.
14. 14.Find the value of 9a + 2b when a = 3 and b = 1.
15. 15.Arjun has p balloons. A friend has 9 more. Which expression shows how many balloons the friend has? (a) p − 9 (b) 9p (c) p + 9 (d) p ÷ 9
16. 16.Find the value of 7y − 30 when y = 5.
17. 17.Dev has n crayons. A friend has 6 more. Which expression shows how many crayons the friend has? (a) n ÷ 6 (b) n + 6 (c) n − 6 (d) 6n
18. 18.Find the value of 8t + 12 when t = 8.
19. 19.Find the value of 7a + 2b when a = 8 and b = 2.
20. 20.Solve: t ÷ 5 = 4. What is t?
21. 21.Nisha has k marbles. A friend has 2 times as many. Which expression shows how many marbles the friend has? (a) 2k (b) k ÷ 2 (c) k + 2 (d) k − 2
22. 22.Joseph has n kites. A friend has 7 more. Which expression shows how many kites the friend has? (a) n − 7 (b) 7n (c) n ÷ 7 (d) n + 7
23. 23.Solve: m ÷ 5 = 17. What is m?
24. 24.Find the value of 2a + 9b when a = 6 and b = 10.
25. 25.Solve: t + 2 = 15. What is t?
26. 26.Karan has m mangoes. A friend has 2 times as many. Which expression shows how many mangoes the friend has? (a) m + 2 (b) m ÷ 2 (c) m − 2 (d) 2m
27. 27.Find the value of 2a + 2b when a = 3 and b = 8.
28. 28.Solve: t + 2 = 6. What is t?
29. 29.Riya has n mangoes. A friend has 9 more. Which expression shows how many mangoes the friend has? (a) 9n (b) n + 9 (c) n − 9 (d) n ÷ 9
30. 30.Solve: 7t = 126. What is t?
31. 31.Find the value of 2a + 7b when a = 3 and b = 2.
32. 32.Find the value of 2a + 3b when a = 4 and b = 10.
33. 33.Find the value of 6x − 42 when x = 10.
34. 34.Lakshmi has p mangoes. A friend has 7 times as many. Which expression shows how many mangoes the friend has? (a) p + 7 (b) p ÷ 7 (c) p − 7 (d) 7p
35. 35.Solve: p − 9 = 5. What is p?
36. 36.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 28 letters?
37. 37.Find the value of 3a + 2b when a = 5 and b = 5.
38. 38.Find the value of 7a + 4b when a = 10 and b = 8.
39. 39.Find the value of 2x − 13 when x = 12.
40. 40.Aditya shares p crayons equally among 5 friends. Which expression shows how many crayons each friend gets? (a) p + 5 (b) p − 5 (c) p ÷ 5 (d) 5p

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