Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 18 · 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 C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
2. 2.Find the value of 9p − 18 when p = 7.
3. 3.Find the value of 4a + 6b when a = 1 and b = 2.
4. 4.Tara has k books. A friend has 3 more. Which expression shows how many books the friend has? (a) k + 3 (b) 3k (c) k − 3 (d) k ÷ 3
5. 5.Find the value of 3x − 4 when x = 7.
6. 6.Find the value of 8a + 3b when a = 3 and b = 9.
7. 7.Find the value of 3a + 9b when a = 4 and b = 6.
8. 8.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 18 letters?
9. 9.Find the value of 7t − 9 when t = 4.
10. 10.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
11. 11.Find the value of 5a + 5b when a = 5 and b = 9.
12. 12.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 17 letters?
13. 13.Lakshmi has m marbles. A friend has 7 fewer. Which expression shows how many marbles the friend has? (a) 7m (b) m − 7 (c) m ÷ 7 (d) m + 7
14. 14.Find the value of 9a + 8b when a = 4 and b = 3.
15. 15.Find the value of 2y − 4 when y = 7.
16. 16.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 12 letters?
17. 17.Solve: n − 3 = 10. What is n?
18. 18.Find the value of 5a + 7b when a = 7 and b = 9.
19. 19.Find the value of 6a + 2b when a = 7 and b = 1.
20. 20.Find the value of 9t + 8 when t = 10.
21. 21.Find the value of 9a + 5b when a = 7 and b = 1.
22. 22.Karan has m pencils. A friend has 8 more. Which expression shows how many pencils the friend has? (a) m − 8 (b) m ÷ 8 (c) m + 8 (d) 8m
23. 23.Joseph has p bananas. A friend has 4 more. Which expression shows how many bananas the friend has? (a) 4p (b) p − 4 (c) p ÷ 4 (d) p + 4
24. 24.Solve: t − 2 = 9. What is t?
25. 25.Find the value of 3n − 3 when n = 2.
26. 26.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
27. 27.Solve: m + 10 = 24. What is m?
28. 28.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
29. 29.Solve: t ÷ 12 = 18. What is t?
30. 30.Solve: 7x = 105. What is x?
31. 31.Solve: x + 4 = 14. What is x?
32. 32.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
33. 33.Gurpreet has m crayons. A friend has 6 times as many. Which expression shows how many crayons the friend has? (a) 6m (b) m + 6 (c) m − 6 (d) m ÷ 6
34. 34.Joseph has n mangoes. A friend has 9 fewer. Which expression shows how many mangoes the friend has? (a) 9n (b) n ÷ 9 (c) n − 9 (d) n + 9
35. 35.Find the value of 4a + 9b when a = 2 and b = 3.
36. 36.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 20 letters?
37. 37.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 30 letters?
38. 38.Solve: m + 9 = 15. What is m?
39. 39.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
40. 40.Find the value of 8a + 3b when a = 8 and b = 3.

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