Hello from MrBillDoesMath!
* I only have time to help you with 3 problems. *
Answer:
1. SWIMMING: total number of laps = 10x-3
3. BEDROOM: Perimeter = 6x +2
4. HOCKEY: Total number of goals = 6x + 1
Discussion:
1. SWIMMING:
The total number of laps swam all 4 weeks is the sum of the laps from each week:
(x+2) + 3x + (2x+1) + (4x-6) .
Separate and combine "x" terms and constants
(x + 3x + 2x + 4x) + (2 + 1 -6) =
10x + (3-6) or 10x - 3
3. BEDROOM
Imagine you are at one corner of the rectanle and you walked all the way around to rectangle back to your start point. That distance gives the perimeter.
Perimeter = (2x-3) + ( x + 4) + (2x-3) + ( x+4)
= ( 2x + x + 2x + x ) + ( -3 + 4 -3 + 4) =
= 6x +2
4. HOCKEY
Total number of goals = sum of goals from all three games =
2x + (x+2) + (3x - 1) =
(2x + x + 3x) + (2 - 1) = 6x + 1
Thank you,
MrB
