Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 467 · 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.Priya has n flowers. A friend has 4 fewer. Which expression shows how many flowers the friend has? (a) 4n (b) n ÷ 4 (c) n − 4 (d) n + 4
2. 2.Karan has k kites. A friend has 4 times as many. Which expression shows how many kites the friend has? (a) k ÷ 4 (b) k + 4 (c) 4k (d) k − 4
3. 3.Find the value of 7a + 5b when a = 8 and b = 9.
4. 4.Find the value of 8a + 3b when a = 2 and b = 8.
5. 5.Find the value of 2a + 3b when a = 9 and b = 3.
6. 6.Find the value of 6p + 4 when p = 5.
7. 7.Meera has m marbles. A friend has 7 times as many. Which expression shows how many marbles the friend has? (a) m + 7 (b) m − 7 (c) 7m (d) m ÷ 7
8. 8.Find the value of 4t + 7 when t = 4.
9. 9.Find the value of 5p + 18 when p = 2.
10. 10.Solve: x ÷ 10 = 2. What is x?
11. 11.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 22 letters?
12. 12.Solve: 12x = 228. What is x?
13. 13.Ananya has n crayons. A friend has 7 more. Which expression shows how many crayons the friend has? (a) n ÷ 7 (b) n + 7 (c) n − 7 (d) 7n
14. 14.Find the value of 4a + 7b when a = 4 and b = 4.
15. 15.Kavya has m flowers. A friend has 8 more. Which expression shows how many flowers the friend has? (a) 8m (b) m ÷ 8 (c) m − 8 (d) m + 8
16. 16.Find the value of 3a + 6b when a = 4 and b = 4.
17. 17.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
18. 18.Find the value of 8m − 22 when m = 5.
19. 19.Kavya has n bananas. A friend has 5 fewer. Which expression shows how many bananas the friend has? (a) n + 5 (b) n ÷ 5 (c) n − 5 (d) 5n
20. 20.Solve: y + 12 = 18. What is y?
21. 21.Find the value of 4y − 10 when y = 10.
22. 22.Find the value of 3t + 8 when t = 6.
23. 23.Solve: t − 4 = 2. What is t?
24. 24.Find the value of 6a + 3b when a = 2 and b = 1.
25. 25.Find the value of 4y − 18 when y = 5.
26. 26.Solve: m ÷ 8 = 3. What is m?
27. 27.Find the value of 8y − 48 when y = 7.
28. 28.Find the value of 4x − 12 when x = 4.
29. 29.Find the value of 6a + 7b when a = 2 and b = 4.
30. 30.Farhan has n laddoos. A friend has 8 times as many. Which expression shows how many laddoos the friend has? (a) n ÷ 8 (b) n − 8 (c) n + 8 (d) 8n
31. 31.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
32. 32.Find the value of 8n + 1 when n = 4.
33. 33.Find the value of 9m + 3 when m = 4.
34. 34.Solve: x ÷ 3 = 17. What is x?
35. 35.Kabir has m shells. A friend has 9 more. Which expression shows how many shells the friend has? (a) 9m (b) m ÷ 9 (c) m − 9 (d) m + 9
36. 36.Find the value of 8t − 40 when t = 8.
37. 37.Find the value of 8a + 7b when a = 4 and b = 8.
38. 38.Find the value of 9n + 17 when n = 12.
39. 39.Find the value of 8p − 1 when p = 2.
40. 40.Riya has k shells. A friend has 4 more. Which expression shows how many shells the friend has? (a) k + 4 (b) 4k (c) k − 4 (d) k ÷ 4

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