Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 558 · 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 3p − 2 when p = 2.
2. 2.Ishaan has p books. A friend has 4 more. Which expression shows how many books the friend has? (a) p − 4 (b) p ÷ 4 (c) p + 4 (d) 4p
3. 3.Find the value of 4y + 6 when y = 12.
4. 4.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
5. 5.Aarav has k mangoes. A friend has 5 fewer. Which expression shows how many mangoes the friend has? (a) k − 5 (b) 5k (c) k + 5 (d) k ÷ 5
6. 6.Find the value of 5a + 2b when a = 8 and b = 9.
7. 7.Solve: 3n = 33. What is n?
8. 8.Solve: 10p = 190. What is p?
9. 9.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 27 letters?
10. 10.Find the value of 6t + 9 when t = 12.
11. 11.Manav has m marbles. A friend has 2 times as many. Which expression shows how many marbles the friend has? (a) m + 2 (b) m − 2 (c) m ÷ 2 (d) 2m
12. 12.Find the value of 6t − 5 when t = 2.
13. 13.Find the value of 8y + 8 when y = 7.
14. 14.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 23 letters?
15. 15.Find the value of 3y − 20 when y = 10.
16. 16.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 18 letters?
17. 17.Find the value of 3t − 14 when t = 6.
18. 18.Find the value of 7a + 3b when a = 6 and b = 5.
19. 19.Solve: p ÷ 10 = 8. What is p?
20. 20.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
21. 21.Find the value of 2y + 1 when y = 2.
22. 22.Find the value of 5n − 45 when n = 10.
23. 23.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 13 letters?
24. 24.Find the value of 7x − 3 when x = 12.
25. 25.Find the value of 7a + 7b when a = 5 and b = 2.
26. 26.Kavya has n balls. A friend has 3 more. Which expression shows how many balls the friend has? (a) n ÷ 3 (b) 3n (c) n − 3 (d) n + 3
27. 27.Find the value of 2a + 6b when a = 10 and b = 3.
28. 28.Find the value of 3n − 12 when n = 8.
29. 29.Saanvi shares p books equally among 3 friends. Which expression shows how many books each friend gets? (a) p − 3 (b) p ÷ 3 (c) p + 3 (d) 3p
30. 30.Find the value of 2p + 1 when p = 2.
31. 31.Find the value of 9n + 17 when n = 10.
32. 32.Find the value of 4y + 3 when y = 2.
33. 33.Solve: p ÷ 2 = 4. What is p?
34. 34.Find the value of 9a + 8b when a = 1 and b = 10.
35. 35.Find the value of 7x + 10 when x = 2.
36. 36.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
37. 37.Find the value of 2a + 9b when a = 1 and b = 6.
38. 38.Find the value of 2n − 19 when n = 11.
39. 39.Karan has k balloons. A friend has 2 fewer. Which expression shows how many balloons the friend has? (a) 2k (b) k ÷ 2 (c) k − 2 (d) k + 2
40. 40.Find the value of 3n − 1 when n = 2.

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