Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 137 · 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 7a + 3b when a = 9 and b = 2.
2. 2.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 25 letters?
3. 3.Find the value of 8x − 19 when x = 5.
4. 4.Find the value of 9a + 8b when a = 6 and b = 5.
5. 5.Find the value of 4y − 13 when y = 6.
6. 6.Kabir has n crayons. A friend has 2 fewer. Which expression shows how many crayons the friend has? (a) n ÷ 2 (b) n − 2 (c) 2n (d) n + 2
7. 7.Find the value of 6x − 2 when x = 2.
8. 8.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
9. 9.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 23 letters?
10. 10.Gurpreet has n balls. A friend has 7 more. Which expression shows how many balls the friend has? (a) 7n (b) n ÷ 7 (c) n − 7 (d) n + 7
11. 11.Find the value of 3a + 5b when a = 7 and b = 10.
12. 12.Find the value of 8a + 9b when a = 9 and b = 1.
13. 13.Solve: y − 12 = 7. What is y?
14. 14.Find the value of 5a + 2b when a = 3 and b = 3.
15. 15.Find the value of 2n + 19 when n = 8.
16. 16.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 19 letters?
17. 17.Solve: t ÷ 12 = 20. What is t?
18. 18.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
19. 19.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 29 letters?
20. 20.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 12 letters?
21. 21.Find the value of 3n − 17 when n = 11.
22. 22.Solve: 11n = 66. What is n?
23. 23.Diya has p marbles. A friend has 9 more. Which expression shows how many marbles the friend has? (a) p − 9 (b) p ÷ 9 (c) 9p (d) p + 9
24. 24.Solve: t − 2 = 13. What is t?
25. 25.Find the value of 4a + 8b when a = 9 and b = 1.
26. 26.Solve: n ÷ 10 = 3. What is n?
27. 27.Gurpreet shares n balls equally among 8 friends. Which expression shows how many balls each friend gets? (a) n + 8 (b) n − 8 (c) n ÷ 8 (d) 8n
28. 28.Find the value of 7y + 3 when y = 12.
29. 29.Solve: t ÷ 12 = 8. What is t?
30. 30.Solve: 9y = 117. What is y?
31. 31.Rohan has m flowers. A friend has 7 more. Which expression shows how many flowers the friend has? (a) m − 7 (b) 7m (c) m ÷ 7 (d) m + 7
32. 32.Priya has m balloons. A friend has 5 times as many. Which expression shows how many balloons the friend has? (a) 5m (b) m + 5 (c) m − 5 (d) m ÷ 5
33. 33.Solve: y + 2 = 17. What is y?
34. 34.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 15 letters?
35. 35.Find the value of 5x + 14 when x = 2.
36. 36.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 13 letters?
37. 37.Nisha has k balloons. A friend has 7 more. Which expression shows how many balloons the friend has? (a) 7k (b) k + 7 (c) k − 7 (d) k ÷ 7
38. 38.Ishaan has m marbles. A friend has 5 fewer. Which expression shows how many marbles the friend has? (a) m + 5 (b) m − 5 (c) 5m (d) m ÷ 5
39. 39.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
40. 40.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?

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