Adding/ Subtracting
Foil
Long Division
Synthetic Division
Geometry
100
(3x^2) + (x^2)
4x^2
100
(x^2+3)(2x^2-1)
2x^4+5x^2-3
100
(m^2−7m−11) ÷ (m − 8)
(m+1) − 3/ m − 8
100
What does synthetic division mean?
Fake division
100
A rectangle’s length is 1 more than twice its width. If the area of the rectangle is 10 square inches find the length and the width of the rectangle.
L=5; w=2
200
(5x^2) - (2x^2)
3x^2
200
(3x^2-7x)(x^2-1)
3x^4-7x^3-3x^2+7x
200
How do we write the value that is felt over
As a fraction, known as the remainder
200
(10r^3+50r^2−60) ÷ (10r−10)
r^2+6r+6
200
The window to a house measures 5ft by 6ft. If the border is a consistent y inches around. Find the equation for the area for the border of the window.
y^2+11y+30
300
(3x^2-4x-1) + (x^2+5x-2)
4x^2+x-3
300
(x^2-3x+1)(2x+5)
2x^3-x^2-13x+5
300
(n^2−3n−21) ÷ (n−7)
(n+4)+ 7/n − 7
300
(2n^3+62n−26n^2+4) ÷ (2n−6)
(n^2−10n+1) + 5/n − 3
300
A rectangular swimming pool is thrice as long as it is wide. A walkway with a consistent 3m width goes around the swimming pool, and has an area of 180 square meters. Find the dimensions of the swimming pool.
L=12; W=4
400
(4x-5)-(2x^2+7x-2)
-2x^2-3x-3
400
(4x^2-2x+1)(5x^2+x-4)
20x^4-6x^3-13x^2+9x-4
400
(50k^3+10k^2−35k−7) ÷ (5k−4)
(10k^2+10k+1) −3/ 5k − 4
400
(−18a+3a^3+9+6a^2) ÷ (−3+3a)
a^2+3a−3
400
Part 1: A new park is going to be put in. The playground will be 20ft by 25ft. A walking path/viewing area will be placed around the park x-ft wide all the way around. Around the walking path will be mulch that is a consistent y-ft all the way around the walking path. Find the total amount of fencing that needs to ordered to enclose the entire new park, in terms of x and y. part 2: The city has decided that the sidewalk must be 3ft and the mulch must be 1 ft. Using your answer from part one, find the total feet of fencing.
Perimeter= 8y+8x+90 Total Feet= 122 ft
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