Algebra

On Monday, Tuesday and Wednesday, we have been working on Algebra. Algebra is a type of maths when you replace certain numbers with letters in equations. We had to fill in the missing numbers in patterns and find out the rule. I found it quite confusing that we had to write the answers separately from the questions. Here is my answers down below.

Algebra Answers

           

Page 2

1. 41, 51, 61, 71, 81, Rule (+10)
2. 16, 19, 22, 25, 28, Rule (+3)
3. 26, 33, 40, 47, 54, Rule (+7)
4. 45, 54, 63, 72, 81, Rule (+9)
5. 21, 42, 49, 98, 105, Rule (+7 x2)

6. 61, 52, 43, 34, 25, Rule (-9)
7. 27, 18, 9, 0, -9, Rule (-9)
8. 42, 35, 28, 21, 14, Rule (-7)
9. 99, 87, 76, 65, 54, Rule (-11)
10. 325, 300, 275, 250, 225, Rule (-25)

11. 44, 55, 66, 77, 88, 99, 110, 121, 132, Rule (+11)
12. 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, Rule (+7)
13. 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, Rule (+12)
14. 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, Rule (+2)
15. 9, 17, 26, 34, 45, 52, 67, 78, 89, 90,

16. 12, 6, 9, Rule (+3 -6)
17. 13, 9, 15 Rule (+6 -4)
18. 34, 29, 36, Rule (+7 -5)
19. 12, 9, 13, Rule (+4 -3)
20. 18, 11, 17 Rule (+6 -7)

21. 678, 685, 2055, Rule ( x3 - 7)
22. 32, 64, 66, Rule ( +2 +2 x2 +2 x2)
23.  37, 41, 82, Rule ( +1 +4 x2 +4 x2 +4)
24. 9, 9, 10, Rule ( +1 +0 +1 +1 +2 +3)
25. 44, 49, 98, Rule ( +1 +5 x2 +5 x2 +5)

26. -8, -4, -8, Rule ( x2 ÷2)
27. 3, 1, 3, Rule (+2 -2)
28. -24, -21, -25, Rule (+2 -4 +2 ÷4 x3 - 4)
29. -3, -6, -5, Rule (+2 -3  +1 -3 -1 -3)
30. -22, -29, -30, Rule ( +3 -7 -1 -7 -9 -7)