Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 112 · 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 4a + 3b when a = 1 and b = 6.
2. 2.Find the value of 6a + 8b when a = 7 and b = 7.
3. 3.Find the value of 7a + 3b when a = 3 and b = 10.
4. 4.Find the value of 3a + 2b when a = 7 and b = 1.
5. 5.Find the value of 2a + 2b when a = 1 and b = 8.
6. 6.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 10 letters?
7. 7.Find the value of 8p + 10 when p = 6.
8. 8.Find the value of 2m + 1 when m = 12.
9. 9.Solve: 5t = 30. What is t?
10. 10.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 15 letters?
11. 11.Find the value of 9a + 6b when a = 8 and b = 9.
12. 12.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
13. 13.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 27 letters?
14. 14.Find the value of 3a + 7b when a = 5 and b = 9.
15. 15.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
16. 16.Find the value of 7x − 10 when x = 2.
17. 17.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
18. 18.Find the value of 3m − 16 when m = 6.
19. 19.Find the value of 8m + 17 when m = 8.
20. 20.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
21. 21.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 30 letters?
22. 22.Find the value of 3p + 4 when p = 6.
23. 23.Find the value of 4a + 3b when a = 9 and b = 2.
24. 24.Solve: t − 8 = 2. What is t?
25. 25.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
26. 26.Solve: n − 11 = 2. What is n?
27. 27.Find the value of 5x + 20 when x = 6.
28. 28.Find the value of 2n + 18 when n = 10.
29. 29.Solve: 6p = 114. What is p?
30. 30.Solve: y ÷ 7 = 10. What is y?
31. 31.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 13 letters?
32. 32.Find the value of 7y + 17 when y = 12.
33. 33.Kabir shares k marbles equally among 8 friends. Which expression shows how many marbles each friend gets? (a) k − 8 (b) k ÷ 8 (c) 8k (d) k + 8
34. 34.Pooja has m bananas. A friend has 4 times as many. Which expression shows how many bananas the friend has? (a) 4m (b) m ÷ 4 (c) m − 4 (d) m + 4
35. 35.Joseph has n bananas. A friend has 7 more. Which expression shows how many bananas the friend has? (a) n ÷ 7 (b) n + 7 (c) n − 7 (d) 7n
36. 36.Find the value of 5y − 17 when y = 6.
37. 37.Find the value of 2a + 4b when a = 9 and b = 6.
38. 38.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 30 letters?
39. 39.Solve: x ÷ 4 = 16. What is x?
40. 40.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 26 letters?

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets