Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 576 · 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 + 8b when a = 5 and b = 8.
2. 2.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 15 letters?
3. 3.Find the value of 7x + 12 when x = 12.
4. 4.Solve: y ÷ 3 = 20. What is y?
5. 5.Solve: n + 7 = 12. What is n?
6. 6.Find the value of 8y − 9 when y = 2.
7. 7.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
8. 8.Pooja has n marbles. A friend has 3 fewer. Which expression shows how many marbles the friend has? (a) n + 3 (b) n ÷ 3 (c) 3n (d) n − 3
9. 9.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 9 letters?
10. 10.Solve: y + 8 = 28. What is y?
11. 11.Find the value of 9x + 20 when x = 7.
12. 12.Solve: x + 8 = 11. What is x?
13. 13.Find the value of 4a + 2b when a = 8 and b = 9.
14. 14.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 18 letters?
15. 15.Solve: 7y = 7. What is y?
16. 16.Find the value of 3a + 4b when a = 9 and b = 4.
17. 17.Solve: x ÷ 5 = 15. What is x?
18. 18.Each matchstick letter V needs 2 sticks, so n letters need 2n 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 10 letters?
20. 20.Solve: x + 5 = 13. What is x?
21. 21.Solve: p + 9 = 17. What is p?
22. 22.Find the value of 7y − 6 when y = 1.
23. 23.Dev has k flowers. A friend has 8 times as many. Which expression shows how many flowers the friend has? (a) k − 8 (b) k ÷ 8 (c) k + 8 (d) 8k
24. 24.Find the value of 7m + 20 when m = 5.
25. 25.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 20 letters?
26. 26.Tara has p pencils. A friend has 5 more. Which expression shows how many pencils the friend has? (a) p − 5 (b) p ÷ 5 (c) 5p (d) p + 5
27. 27.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 15 letters?
28. 28.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 22 letters?
29. 29.Tara has p mangoes. A friend has 3 fewer. Which expression shows how many mangoes the friend has? (a) 3p (b) p ÷ 3 (c) p + 3 (d) p − 3
30. 30.Find the value of 5a + 4b when a = 8 and b = 1.
31. 31.Ishaan has m laddoos. A friend has 4 more. Which expression shows how many laddoos the friend has? (a) m + 4 (b) m ÷ 4 (c) 4m (d) m − 4
32. 32.Find the value of 4a + 2b when a = 8 and b = 3.
33. 33.Solve: x ÷ 8 = 19. What is x?
34. 34.Find the value of 9t − 90 when t = 12.
35. 35.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
36. 36.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
37. 37.Priya has k books. A friend has 2 fewer. Which expression shows how many books the friend has? (a) k + 2 (b) k − 2 (c) 2k (d) k ÷ 2
38. 38.Solve: x + 4 = 20. What is x?
39. 39.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
40. 40.Tara has m bananas. A friend has 5 more. Which expression shows how many bananas the friend has? (a) m − 5 (b) m + 5 (c) 5m (d) m ÷ 5

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