Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 82 · 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 9n + 11 when n = 12.
2. 2.Manav has n pencils. A friend has 4 more. Which expression shows how many pencils the friend has? (a) 4n (b) n + 4 (c) n − 4 (d) n ÷ 4
3. 3.Solve: 4y = 40. What is y?
4. 4.Solve: p ÷ 3 = 9. What is p?
5. 5.Find the value of 5y + 1 when y = 12.
6. 6.Find the value of 6a + 9b when a = 10 and b = 5.
7. 7.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
8. 8.Find the value of 4a + 9b when a = 8 and b = 8.
9. 9.Find the value of 7x − 1 when x = 1.
10. 10.Meera has m mangoes. A friend has 7 fewer. Which expression shows how many mangoes the friend has? (a) m + 7 (b) m − 7 (c) m ÷ 7 (d) 7m
11. 11.Find the value of 8a + 7b when a = 10 and b = 4.
12. 12.Find the value of 9n + 18 when n = 11.
13. 13.Find the value of 8y − 38 when y = 5.
14. 14.Find the value of 2t − 14 when t = 9.
15. 15.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
16. 16.Find the value of 7a + 4b when a = 10 and b = 3.
17. 17.Solve: t + 3 = 16. What is t?
18. 18.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
19. 19.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 21 letters?
20. 20.Solve: x ÷ 5 = 11. What is x?
21. 21.Find the value of 5y − 3 when y = 3.
22. 22.Find the value of 7m + 14 when m = 3.
23. 23.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 18 letters?
24. 24.Farhan has m balloons. A friend has 6 more. Which expression shows how many balloons the friend has? (a) m ÷ 6 (b) 6m (c) m + 6 (d) m − 6
25. 25.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
26. 26.Solve: x − 6 = 5. What is x?
27. 27.Kavya has p crayons. A friend has 9 fewer. Which expression shows how many crayons the friend has? (a) 9p (b) p ÷ 9 (c) p − 9 (d) p + 9
28. 28.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
29. 29.Find the value of 5a + 2b when a = 8 and b = 1.
30. 30.Find the value of 2m + 13 when m = 12.
31. 31.Find the value of 5a + 3b when a = 5 and b = 1.
32. 32.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 17 letters?
33. 33.Farhan has n bananas. A friend has 8 more. Which expression shows how many bananas the friend has? (a) 8n (b) n − 8 (c) n + 8 (d) n ÷ 8
34. 34.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 25 letters?
35. 35.Find the value of 3a + 4b when a = 10 and b = 4.
36. 36.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 17 letters?
37. 37.Solve: y − 3 = 8. What is y?
38. 38.Karan has m marbles. A friend has 2 fewer. Which expression shows how many marbles the friend has? (a) 2m (b) m − 2 (c) m + 2 (d) m ÷ 2
39. 39.Find the value of 5a + 2b when a = 3 and b = 9.
40. 40.Saanvi has n crayons. A friend has 5 times as many. Which expression shows how many crayons the friend has? (a) 5n (b) n + 5 (c) n ÷ 5 (d) n − 5

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