Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 410 · 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.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 24 letters?
2. 2.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 17 letters?
3. 3.Meera shares n kites equally among 4 friends. Which expression shows how many kites each friend gets? (a) n ÷ 4 (b) n + 4 (c) 4n (d) n − 4
4. 4.Find the value of 3a + 4b when a = 2 and b = 4.
5. 5.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
6. 6.Find the value of 8a + 4b when a = 1 and b = 4.
7. 7.Find the value of 4n + 8 when n = 4.
8. 8.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
9. 9.Find the value of 2a + 2b when a = 1 and b = 7.
10. 10.Sneha has p balls. A friend has 4 fewer. Which expression shows how many balls the friend has? (a) p + 4 (b) p ÷ 4 (c) p − 4 (d) 4p
11. 11.Find the value of 2x − 1 when x = 5.
12. 12.Find the value of 4x + 17 when x = 8.
13. 13.Solve: y + 2 = 5. What is y?
14. 14.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
15. 15.Solve: y + 11 = 24. What is y?
16. 16.Find the value of 9m + 20 when m = 4.
17. 17.Find the value of 2a + 9b when a = 1 and b = 9.
18. 18.Find the value of 9a + 2b when a = 5 and b = 8.
19. 19.Solve: t + 6 = 8. What is t?
20. 20.Aditya has p mangoes. A friend has 3 more. Which expression shows how many mangoes the friend has? (a) p ÷ 3 (b) 3p (c) p − 3 (d) p + 3
21. 21.Solve: x ÷ 7 = 4. What is x?
22. 22.Find the value of 7m + 14 when m = 5.
23. 23.Solve: x ÷ 5 = 17. What is x?
24. 24.Diya has p books. A friend has 8 times as many. Which expression shows how many books the friend has? (a) p + 8 (b) p ÷ 8 (c) 8p (d) p − 8
25. 25.Find the value of 5n − 11 when n = 12.
26. 26.Solve: 4t = 44. What is t?
27. 27.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 10 letters?
28. 28.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 21 letters?
29. 29.Find the value of 7y − 9 when y = 8.
30. 30.Find the value of 4y − 6 when y = 4.
31. 31.Solve: p + 3 = 7. What is p?
32. 32.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
33. 33.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 13 letters?
34. 34.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
35. 35.Ananya has p bananas. A friend has 2 more. Which expression shows how many bananas the friend has? (a) p ÷ 2 (b) p − 2 (c) 2p (d) p + 2
36. 36.Find the value of 9a + 9b when a = 4 and b = 5.
37. 37.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 27 letters?
38. 38.Solve: 7y = 42. What is y?
39. 39.Ishaan has n bananas. A friend has 7 more. Which expression shows how many bananas the friend has? (a) n ÷ 7 (b) n + 7 (c) 7n (d) n − 7
40. 40.Solve: m − 12 = 3. What is m?

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