Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 553 · 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 3y − 15 when y = 11.
2. 2.Solve: 9y = 18. What is y?
3. 3.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 23 letters?
4. 4.Farhan has n crayons. A friend has 3 times as many. Which expression shows how many crayons the friend has? (a) 3n (b) n − 3 (c) n ÷ 3 (d) n + 3
5. 5.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 7 letters?
6. 6.Find the value of 9n − 56 when n = 12.
7. 7.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
8. 8.Meera has p balls. A friend has 7 times as many. Which expression shows how many balls the friend has? (a) p ÷ 7 (b) p + 7 (c) 7p (d) p − 7
9. 9.Solve: y ÷ 12 = 4. What is y?
10. 10.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
11. 11.Find the value of 2n + 18 when n = 3.
12. 12.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
13. 13.Find the value of 7x + 3 when x = 11.
14. 14.Find the value of 4n − 3 when n = 1.
15. 15.Meera shares n marbles equally among 3 friends. Which expression shows how many marbles each friend gets? (a) n + 3 (b) n − 3 (c) n ÷ 3 (d) 3n
16. 16.Find the value of 9a + 2b when a = 8 and b = 7.
17. 17.Solve: p − 8 = 9. What is p?
18. 18.Ananya has m bananas. A friend has 6 fewer. Which expression shows how many bananas the friend has? (a) m ÷ 6 (b) m + 6 (c) 6m (d) m − 6
19. 19.Find the value of 2y + 18 when y = 1.
20. 20.Solve: 10x = 140. What is x?
21. 21.Find the value of 5a + 7b when a = 8 and b = 5.
22. 22.Find the value of 2a + 8b when a = 3 and b = 1.
23. 23.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 22 letters?
24. 24.Find the value of 3a + 6b when a = 2 and b = 6.
25. 25.Find the value of 9m − 43 when m = 8.
26. 26.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 17 letters?
27. 27.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 25 letters?
28. 28.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
29. 29.Aarav has p balls. A friend has 5 fewer. Which expression shows how many balls the friend has? (a) 5p (b) p − 5 (c) p + 5 (d) p ÷ 5
30. 30.Find the value of 6n − 2 when n = 1.
31. 31.Solve: y ÷ 7 = 4. What is y?
32. 32.Find the value of 3m − 1 when m = 10.
33. 33.Arjun has p pencils. A friend has 4 times as many. Which expression shows how many pencils the friend has? (a) p + 4 (b) p ÷ 4 (c) p − 4 (d) 4p
34. 34.Rohan has n balloons. A friend has 2 fewer. Which expression shows how many balloons the friend has? (a) n − 2 (b) n ÷ 2 (c) n + 2 (d) 2n
35. 35.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 21 letters?
36. 36.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 20 letters?
37. 37.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 22 letters?
38. 38.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
39. 39.Find the value of 5y − 5 when y = 7.
40. 40.Find the value of 9x + 16 when x = 4.

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