Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 548 · 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 T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 13 letters?
2. 2.Find the value of 9a + 9b when a = 1 and b = 3.
3. 3.Find the value of 9x + 1 when x = 7.
4. 4.Find the value of 6a + 6b when a = 3 and b = 7.
5. 5.Find the value of 5a + 2b when a = 8 and b = 8.
6. 6.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 27 letters?
7. 7.Find the value of 2a + 2b when a = 1 and b = 8.
8. 8.Solve: x + 3 = 15. What is x?
9. 9.Find the value of 9x − 3 when x = 5.
10. 10.Find the value of 3a + 8b when a = 8 and b = 2.
11. 11.Solve: x − 7 = 3. What is x?
12. 12.Solve: 11m = 121. What is m?
13. 13.Find the value of 9x − 22 when x = 10.
14. 14.Find the value of 5a + 8b when a = 6 and b = 3.
15. 15.Find the value of 3a + 6b when a = 1 and b = 8.
16. 16.Find the value of 6y − 12 when y = 9.
17. 17.Find the value of 5p + 14 when p = 2.
18. 18.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
19. 19.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 28 letters?
20. 20.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 18 letters?
21. 21.Find the value of 9t − 6 when t = 1.
22. 22.Find the value of 4x + 10 when x = 12.
23. 23.Find the value of 6n + 2 when n = 1.
24. 24.Find the value of 2a + 8b when a = 2 and b = 4.
25. 25.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 26 letters?
26. 26.Priya has p crayons. A friend has 7 times as many. Which expression shows how many crayons the friend has? (a) p − 7 (b) 7p (c) p + 7 (d) p ÷ 7
27. 27.Kabir has k balloons. A friend has 7 fewer. Which expression shows how many balloons the friend has? (a) k ÷ 7 (b) k − 7 (c) 7k (d) k + 7
28. 28.Zoya has m kites. A friend has 4 fewer. Which expression shows how many kites the friend has? (a) m + 4 (b) m ÷ 4 (c) m − 4 (d) 4m
29. 29.Find the value of 2m − 2 when m = 2.
30. 30.Find the value of 3x + 11 when x = 2.
31. 31.Find the value of 3x + 7 when x = 7.
32. 32.Farhan has p kites. A friend has 6 times as many. Which expression shows how many kites the friend has? (a) p + 6 (b) p ÷ 6 (c) p − 6 (d) 6p
33. 33.Find the value of 8y + 19 when y = 10.
34. 34.Solve: m + 2 = 17. What is m?
35. 35.Find the value of 6a + 8b when a = 6 and b = 3.
36. 36.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
37. 37.Ishaan has n pencils. A friend has 2 times as many. Which expression shows how many pencils the friend has? (a) n − 2 (b) n + 2 (c) n ÷ 2 (d) 2n
38. 38.Find the value of 6y − 13 when y = 10.
39. 39.Solve: x − 12 = 3. What is x?
40. 40.Saanvi shares m shells equally among 7 friends. Which expression shows how many shells each friend gets? (a) 7m (b) m ÷ 7 (c) m − 7 (d) m + 7

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