Lesson+15+by+Jamie+and+Liam

Lesson 15

To start the lesson we opened our books but took so long that Mr Rad said "You're slow coaches and a slow coach is a coach thats slow".

We started with some algebraic explanding/simplifying questions.

A. 3(x+4)= 3x+12

B. Does 3(3+4) equal 9+4 or 9+12? Mr Rad got us to explain our answers. For example, 3(3+4) = 9+12 because both numbers have to be multiplied by 3 because they are both in the brackets.

C. -2(x+2)= -2x-4

D. 3(x-4)= 3x-12

E. (6x+4) divided by 2= 3x+2

F. 3(x+2)+1=3x+7

Later on, Mr Rad said not to say that he had bad handwriting on the Wiki-page. He did say that Jamie needed to see an optometrist though. Then Mr Rad wrote on the board that the 3 is next to the brackets so if x was a number. [Actually x is a number we just don't know what it is]. Then Mr Rad asked for a volunteer but picked Luke because he had his hat on.



Luke came up to the board and picked a number which was 7. He told Luke to multiply his number by 2, which made 14, then he told him to add 3, which made 17, then he told him to multiply the number he had by 2, which made 34, and finally he told Luke to minus 1, which made 33. He told Luke to erase every number except the last one. Mr Rad then took the number and reversed the pattern to figure out what his original number was. He turned Lukes number and the pattern into an algebraic formula which was: n 2n 2n+3 2(2n+3) 2(2n+3)-1=33

Here's a photo of Luke's pattern.

After that we were told for one person to be Luke and the other to be Mr Rad. E.g. Liam and I did this:

We shared some of our own examples, like Marcello's, Melissa's, and Jacks:

Afterwards, Mr Rad suggested that Jack go to a hearing specialist. Finally, Mr Rad wrote some algebraic questions for us to figure out and reverse (using drawings): He told us to solve the equations using backtracking and to draw the equations with boxes.

1. (2n-3)x3= 21

2. (7n-2+2) divided by 10= 2

3. 5(n-2)-3= 42

4. (n-1) divided by 3 + 5= 16

5. (6n+7) divided by 4 + 1= 12

6. 2(n+3)= 16

7. (3n-2) divided by 5= 2

8. (n-3) divided by 2 + 6= 11

9. (6n-1) divided by 5= 1

10. (20n-10) divided by 3 + 2= 12

11. 2(3x) divided by 2 + 1 - 2= 254

12. 2(n-1) + 3= 18

13. 5(x+7) +23= 83

Mr Rad mentioned that he made a mistake and number 1 was meant to be: 3(2n-3)= 21

For the above question we did NOT draw the boxes, because we were tired and thought it would take to long. By Jamie and Liam :P