Adding
Subtracting
Multiplying
Simplifying
Word Problems
100
(x^3+2x^2+x)+(2x^3-5x^2+1)
3x^3-3x^2+x+1
100
(8x^2+4x-2)-(2x^2-3x+6)
6x^2+7x-8
100
2x(x^2+3x^3-5x+1)
6x^4+2x^3-10x^2+2x
100
2x(x^2+y)+2x^2(x+y)
4x^3+2x^2y+2xy
100
A triangle has a perimeter of x^3+5x.  One side length is 2x^3+1 and the other side is 7x+2.  What is the length of the third side?
-x^3-2x-3
200
(3x^3+2x^2+2)+(-4x^2-2)
3x^3-2x^2
200
(4x^2+2x-1)-(-x^2-5x-2)
5x^2+7x+1
200
(x+4)(x-3)
x^2+x-7
200
3b(a^2+b)-2a(ab+b^2)
a^2b+3b^2-2ab^2
200
The perimeter of a triangle is xy+5x^2y.  One side length is 2x^2y and the other is -4xy.  What is the third side length?
3x^2y+5xy
300
(x^2+x)+(5x^2-x+7)
6x^2+7
300
(p^2+2p-5)-(-10p^2+4p-2)
11p^2-2p-3
300
(w+2)(w^2+2w+3)
w^3+4w^2+7w+6
300
5w^2(w-6)-2w(3w^2+w-6)+7(w^2-3)
-w^2-25w^2+7w^2+12w-21
300
A flying disk has a radius of (x-2). Write an expression in simplest form of the area of the disk.
x^2pi-4xpi+4pi
400
(x+5x+2x^2-1)+(4x^4+x+x^2+5)
4x^4+3x^2+7x+4
400
(7u^2x-3ux+4ux^2)-(4ux-3u^2x-2ux^2)
4u^2x+6ux^2-7ux
400
(x+7)^2
x^2+14x+49
400
2w(w^2+2)-3w^2(w+2w^2)
-6w^4-w^3+4
400
The area of a paper towel role is pi(x+1)^2.  The radius of the hole in the paper towel role is (x-2).  What is the area of the paper towel role without the hole included?
6xpi+5pi
500
(x^2+2x-4)(2x^2-3x+1)
2x^4+x^3-13x^2+14x-4
500
x(x-3)-2x^2(x^2+x+2)+3x(x^3+1)
x^4-2x^3-3x^2