Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 257 · 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.Solve: y + 7 = 8. What is y?
2. 2.Find the value of 8a + 7b when a = 1 and b = 2.
3. 3.Aarav has n crayons. A friend has 4 more. Which expression shows how many crayons the friend has? (a) 4n (b) n − 4 (c) n + 4 (d) n ÷ 4
4. 4.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 21 letters?
5. 5.Solve: t + 5 = 21. What is t?
6. 6.Solve: p ÷ 4 = 8. What is p?
7. 7.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 30 letters?
8. 8.Ananya has m shells. A friend has 4 times as many. Which expression shows how many shells the friend has? (a) m − 4 (b) 4m (c) m + 4 (d) m ÷ 4
9. 9.Diya has p marbles. A friend has 2 times as many. Which expression shows how many marbles the friend has? (a) 2p (b) p ÷ 2 (c) p − 2 (d) p + 2
10. 10.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 18 letters?
11. 11.Sneha has p shells. A friend has 4 more. Which expression shows how many shells the friend has? (a) 4p (b) p + 4 (c) p ÷ 4 (d) p − 4
12. 12.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 28 letters?
13. 13.Diya has p balls. A friend has 4 more. Which expression shows how many balls the friend has? (a) p ÷ 4 (b) p + 4 (c) 4p (d) p − 4
14. 14.Solve: 6t = 36. What is t?
15. 15.Solve: m ÷ 7 = 10. What is m?
16. 16.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
17. 17.Solve: y ÷ 12 = 1. What is y?
18. 18.Find the value of 8a + 3b when a = 6 and b = 1.
19. 19.Find the value of 4t + 8 when t = 3.
20. 20.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
21. 21.Find the value of 4y + 17 when y = 3.
22. 22.Solve: x − 8 = 5. What is x?
23. 23.Find the value of 7a + 2b when a = 5 and b = 2.
24. 24.Find the value of 4p + 19 when p = 2.
25. 25.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
26. 26.Find the value of 9a + 6b when a = 3 and b = 8.
27. 27.Find the value of 7a + 7b when a = 3 and b = 8.
28. 28.Pooja has m balls. A friend has 4 more. Which expression shows how many balls the friend has? (a) 4m (b) m + 4 (c) m − 4 (d) m ÷ 4
29. 29.Solve: y − 4 = 9. What is y?
30. 30.Find the value of 8a + 2b when a = 3 and b = 2.
31. 31.Aarav shares k crayons equally among 2 friends. Which expression shows how many crayons each friend gets? (a) k − 2 (b) k + 2 (c) k ÷ 2 (d) 2k
32. 32.Find the value of 8y + 2 when y = 9.
33. 33.Solve: n − 4 = 6. What is n?
34. 34.Find the value of 3a + 4b when a = 9 and b = 2.
35. 35.Find the value of 6a + 6b when a = 8 and b = 1.
36. 36.Find the value of 6x − 14 when x = 3.
37. 37.Diya has n flowers. A friend has 3 more. Which expression shows how many flowers the friend has? (a) n ÷ 3 (b) n + 3 (c) n − 3 (d) 3n
38. 38.Solve: 10m = 130. What is m?
39. 39.Find the value of 3p − 7 when p = 6.
40. 40.Find the value of 2t − 5 when t = 10.

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