Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 13 · 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 4y + 14 when y = 8.
2. 2.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 18 letters?
3. 3.Find the value of 4m − 7 when m = 6.
4. 4.Find the value of 9a + 4b when a = 3 and b = 4.
5. 5.Find the value of 9a + 5b when a = 6 and b = 1.
6. 6.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 28 letters?
7. 7.Find the value of 9a + 2b when a = 10 and b = 1.
8. 8.Pooja has m pencils. A friend has 5 more. Which expression shows how many pencils the friend has? (a) m − 5 (b) m + 5 (c) 5m (d) m ÷ 5
9. 9.Find the value of 4p − 4 when p = 2.
10. 10.Diya has n bananas. A friend has 3 fewer. Which expression shows how many bananas the friend has? (a) n ÷ 3 (b) 3n (c) n − 3 (d) n + 3
11. 11.Find the value of 3a + 6b when a = 1 and b = 8.
12. 12.Find the value of 2m + 13 when m = 2.
13. 13.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 27 letters?
14. 14.Nisha has m pencils. A friend has 2 more. Which expression shows how many pencils the friend has? (a) m − 2 (b) 2m (c) m ÷ 2 (d) m + 2
15. 15.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
16. 16.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 18 letters?
17. 17.Find the value of 6t + 18 when t = 9.
18. 18.Farhan has p mangoes. A friend has 4 fewer. Which expression shows how many mangoes the friend has? (a) 4p (b) p ÷ 4 (c) p − 4 (d) p + 4
19. 19.Find the value of 3x + 16 when x = 11.
20. 20.Find the value of 4m + 1 when m = 11.
21. 21.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
22. 22.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
23. 23.Find the value of 8x + 15 when x = 1.
24. 24.Solve: t + 9 = 25. What is t?
25. 25.Find the value of 3p + 3 when p = 8.
26. 26.Solve: 12y = 24. What is y?
27. 27.Find the value of 8y + 20 when y = 8.
28. 28.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 16 letters?
29. 29.Solve: 8x = 56. What is x?
30. 30.Find the value of 5y − 53 when y = 12.
31. 31.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 18 letters?
32. 32.Find the value of 9a + 9b when a = 6 and b = 10.
33. 33.Find the value of 4a + 2b when a = 4 and b = 8.
34. 34.Find the value of 4y − 12 when y = 5.
35. 35.Aditya shares m laddoos equally among 8 friends. Which expression shows how many laddoos each friend gets? (a) m − 8 (b) m + 8 (c) 8m (d) m ÷ 8
36. 36.Find the value of 9x + 17 when x = 9.
37. 37.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
38. 38.Find the value of 3x − 1 when x = 4.
39. 39.Find the value of 2p − 2 when p = 11.
40. 40.Solve: n ÷ 7 = 13. What is n?

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